Grade 11 Exam > Grade 11 Notes > Physics for Grade 11 > Past Year Paper, Physics (Set - 1), 2019, Class 11, Physics
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Page 1 C B S E C l a s s X I P h y s i c s T i m e a l l o w e d : 3 h o u r s , M a x i m u m M a r k s : 7 0 G e n e r a l I n s t r u c t i o n s : 1 . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . 2 . T h e r e a r e 2 6 q u e s t i o n s i n t o t a l . 3 . Q u e s t i o n s 1 t o 5 a r e v e r y s h o r t a n s w e r t y p e q u e s t i o n s a n d c a r r y o n e m a r k e a c h . 4 . Q u e s t i o n s 6 t o 1 0 c a r r y t w o m a r k s e a c h . 5 . Q u e s t i o n s 1 1 t o 2 2 c a r r y t h r e e m a r k s e a c h . 6 . Q u e s t i o n s 2 3 i s v a l u e b a s e d q u e s t i o n s c a r r y f o u r m a r k s . 7 . Q u e s t i o n s 2 4 t o 2 6 c a r r y f i v e m a r k s e a c h . 8 . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n i n t e r n a l c h o i c e h a s b e e n p r o v i d e d i n o n e q u e s t i o n o f t w o m a r k s , o n e q u e s t i o n o f t h r e e m a r k s a n d a l l t h r e e q u e s t i o n s i n f i v e m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e c h o i c e s i n s u c h q u e s t i o n s . 9 . U s e o f c a l c u l a t o r s i s n o t p e r m i t t e d . H o w e v e r , y o u m a y u s e l o g t a b l e s i f n e c e s s a r y . 1 0 . Y o u m a y u s e t h e f o l l o w i n g v a l u e s o f p h y s i c a l c o n s t a n t s w h e r e v e r n e c e s s a r y : , , , , , 1 . N a m e t h e t w o p a i r s o f p h y s i c a l q u a n t i t i e s w h o s e d i m e n s i o n s a r e s a m e . A n s . a ) S t r e s s a n d Y o u n g ’ s M o d u l u s b ) W o r k a n d E n e r g y 2 . W h a t i s t h e a p p a r e n t w e i g h t f e l t b y a p e r s o n i n a n e l e v a t o r , w h e n i t i s a c c e l e r a t i n g ? ( i ) u p w a r d a n d ( i i ) d o w n w a r d A n s . i ) A p p a r e n t w e i g h t = m ( g + a ) i i ) A p p a r e n t w e i g h t = m ( g - a ) 3 . J u s t i f y : “ W h e n s e v e r a l p a s s e n g e r s a r e s t a n d i n g i n a m o v i n g b u s , i t i s s a i d t o b e Page 2 C B S E C l a s s X I P h y s i c s T i m e a l l o w e d : 3 h o u r s , M a x i m u m M a r k s : 7 0 G e n e r a l I n s t r u c t i o n s : 1 . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . 2 . T h e r e a r e 2 6 q u e s t i o n s i n t o t a l . 3 . Q u e s t i o n s 1 t o 5 a r e v e r y s h o r t a n s w e r t y p e q u e s t i o n s a n d c a r r y o n e m a r k e a c h . 4 . Q u e s t i o n s 6 t o 1 0 c a r r y t w o m a r k s e a c h . 5 . Q u e s t i o n s 1 1 t o 2 2 c a r r y t h r e e m a r k s e a c h . 6 . Q u e s t i o n s 2 3 i s v a l u e b a s e d q u e s t i o n s c a r r y f o u r m a r k s . 7 . Q u e s t i o n s 2 4 t o 2 6 c a r r y f i v e m a r k s e a c h . 8 . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n i n t e r n a l c h o i c e h a s b e e n p r o v i d e d i n o n e q u e s t i o n o f t w o m a r k s , o n e q u e s t i o n o f t h r e e m a r k s a n d a l l t h r e e q u e s t i o n s i n f i v e m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e c h o i c e s i n s u c h q u e s t i o n s . 9 . U s e o f c a l c u l a t o r s i s n o t p e r m i t t e d . H o w e v e r , y o u m a y u s e l o g t a b l e s i f n e c e s s a r y . 1 0 . Y o u m a y u s e t h e f o l l o w i n g v a l u e s o f p h y s i c a l c o n s t a n t s w h e r e v e r n e c e s s a r y : , , , , , 1 . N a m e t h e t w o p a i r s o f p h y s i c a l q u a n t i t i e s w h o s e d i m e n s i o n s a r e s a m e . A n s . a ) S t r e s s a n d Y o u n g ’ s M o d u l u s b ) W o r k a n d E n e r g y 2 . W h a t i s t h e a p p a r e n t w e i g h t f e l t b y a p e r s o n i n a n e l e v a t o r , w h e n i t i s a c c e l e r a t i n g ? ( i ) u p w a r d a n d ( i i ) d o w n w a r d A n s . i ) A p p a r e n t w e i g h t = m ( g + a ) i i ) A p p a r e n t w e i g h t = m ( g - a ) 3 . J u s t i f y : “ W h e n s e v e r a l p a s s e n g e r s a r e s t a n d i n g i n a m o v i n g b u s , i t i s s a i d t o b e d a n g e r o u s . ” A n s . H e r e , t h e c e n t r e o f g r a v i t y o f t h e s y s t e m i s r a i s e d a n d a s s u c h t h e w h o l e s y s t e m i s i n a n u n s t a b l e e q u i l i b r i u m . W h e n t h e r u n n i n g b u s s u d d e n l y s t o p s d u e t o i n e r t i a o f m o t i o n , t h e p a s s e n g e r s f a l l f o r w a r d o n e a c h o t h e r a n d c a u s e s t a m p e d e . 4 . W h a t a r e t h e f a c t o r s o n w h i c h t h e d e g r e e s o f f r e e d o m o f g a s d e p e n d ? A n s . i ) A t o m i c i t y i i ) T e m p e r a t u r e 5 . W h a t a r e t h e c h a r a c t e r i s t i c s o f e l a s t i c c o l l i s i o n ? A n s . i ) K i n e t i c e n e r g y o f t h e s y s t e m r e m a i n s c o n s e r v e d . i i ) L i n e a r m o m e n t u m o f t h e s y s t e m r e m a i n s c o n s e r v e d . 6 . I f b r e a k i n g s t r e s s o f s t e e l = 8 . 0 x 1 0 8 N m - 3 , d e n s i t y o f s t e e l = 8 . 0 x 1 0 3 k g m - 3 a n d g = 1 0 m s - 2 , f i n d t h e g r e a t e s t l e n g t h o f s t e e l w i r e t h a t c a n h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . O r A s t e e l w i r e 0 . 7 2 m l o n g h a s a m a s s o f 5 . 0 x 1 0 - 3 k g . I f t h e w i r e i s u n d e r a t e n s i o n o f 6 0 N , t h e n w h a t i s t h e s p e e d o f t h e t r a n s v e r s e w a v e s o n t h e w i r e ? A n s . L e t ‘ L ’ b e t h e m a x i m u m l e n g t h o f t h e s t e e l w i r e w h i c h c a n b e h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . I n s u c h a c a s e t h e s t r e t c h i n g f o r c e i s e q u a l t o t h e o w n w e i g h t o f w i r e . I f ‘ A ’ b e t h e c r o s s - s e c t i o n a r e a o f w i r e a n d ? i t s d e n s i t y , M a s s o f t h e w i r e M = A L P S t r e t c h i n g f o r c e F = m g = A L P g M a x i m u m S t r e s s O r M a s s p e r u n i t l e n g t h o f t h e w i r e , µ = = 6 . 9 x 1 0 - 3 k g / m T h e s p e e d o f w a v e o n t h e w i r e , ? = = 9 3 m / s 7 . W h a t w i l l b e t h e r a t i o o f t h e m o m e n t s o f m a s s e s i f o n e o f t h e m a s s i s ‘ n ’ t i m e s a s h e a v y a s t h e o t h e r , h a v e e q u a l K . E ? Page 3 C B S E C l a s s X I P h y s i c s T i m e a l l o w e d : 3 h o u r s , M a x i m u m M a r k s : 7 0 G e n e r a l I n s t r u c t i o n s : 1 . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . 2 . T h e r e a r e 2 6 q u e s t i o n s i n t o t a l . 3 . Q u e s t i o n s 1 t o 5 a r e v e r y s h o r t a n s w e r t y p e q u e s t i o n s a n d c a r r y o n e m a r k e a c h . 4 . Q u e s t i o n s 6 t o 1 0 c a r r y t w o m a r k s e a c h . 5 . Q u e s t i o n s 1 1 t o 2 2 c a r r y t h r e e m a r k s e a c h . 6 . Q u e s t i o n s 2 3 i s v a l u e b a s e d q u e s t i o n s c a r r y f o u r m a r k s . 7 . Q u e s t i o n s 2 4 t o 2 6 c a r r y f i v e m a r k s e a c h . 8 . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n i n t e r n a l c h o i c e h a s b e e n p r o v i d e d i n o n e q u e s t i o n o f t w o m a r k s , o n e q u e s t i o n o f t h r e e m a r k s a n d a l l t h r e e q u e s t i o n s i n f i v e m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e c h o i c e s i n s u c h q u e s t i o n s . 9 . U s e o f c a l c u l a t o r s i s n o t p e r m i t t e d . H o w e v e r , y o u m a y u s e l o g t a b l e s i f n e c e s s a r y . 1 0 . Y o u m a y u s e t h e f o l l o w i n g v a l u e s o f p h y s i c a l c o n s t a n t s w h e r e v e r n e c e s s a r y : , , , , , 1 . N a m e t h e t w o p a i r s o f p h y s i c a l q u a n t i t i e s w h o s e d i m e n s i o n s a r e s a m e . A n s . a ) S t r e s s a n d Y o u n g ’ s M o d u l u s b ) W o r k a n d E n e r g y 2 . W h a t i s t h e a p p a r e n t w e i g h t f e l t b y a p e r s o n i n a n e l e v a t o r , w h e n i t i s a c c e l e r a t i n g ? ( i ) u p w a r d a n d ( i i ) d o w n w a r d A n s . i ) A p p a r e n t w e i g h t = m ( g + a ) i i ) A p p a r e n t w e i g h t = m ( g - a ) 3 . J u s t i f y : “ W h e n s e v e r a l p a s s e n g e r s a r e s t a n d i n g i n a m o v i n g b u s , i t i s s a i d t o b e d a n g e r o u s . ” A n s . H e r e , t h e c e n t r e o f g r a v i t y o f t h e s y s t e m i s r a i s e d a n d a s s u c h t h e w h o l e s y s t e m i s i n a n u n s t a b l e e q u i l i b r i u m . W h e n t h e r u n n i n g b u s s u d d e n l y s t o p s d u e t o i n e r t i a o f m o t i o n , t h e p a s s e n g e r s f a l l f o r w a r d o n e a c h o t h e r a n d c a u s e s t a m p e d e . 4 . W h a t a r e t h e f a c t o r s o n w h i c h t h e d e g r e e s o f f r e e d o m o f g a s d e p e n d ? A n s . i ) A t o m i c i t y i i ) T e m p e r a t u r e 5 . W h a t a r e t h e c h a r a c t e r i s t i c s o f e l a s t i c c o l l i s i o n ? A n s . i ) K i n e t i c e n e r g y o f t h e s y s t e m r e m a i n s c o n s e r v e d . i i ) L i n e a r m o m e n t u m o f t h e s y s t e m r e m a i n s c o n s e r v e d . 6 . I f b r e a k i n g s t r e s s o f s t e e l = 8 . 0 x 1 0 8 N m - 3 , d e n s i t y o f s t e e l = 8 . 0 x 1 0 3 k g m - 3 a n d g = 1 0 m s - 2 , f i n d t h e g r e a t e s t l e n g t h o f s t e e l w i r e t h a t c a n h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . O r A s t e e l w i r e 0 . 7 2 m l o n g h a s a m a s s o f 5 . 0 x 1 0 - 3 k g . I f t h e w i r e i s u n d e r a t e n s i o n o f 6 0 N , t h e n w h a t i s t h e s p e e d o f t h e t r a n s v e r s e w a v e s o n t h e w i r e ? A n s . L e t ‘ L ’ b e t h e m a x i m u m l e n g t h o f t h e s t e e l w i r e w h i c h c a n b e h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . I n s u c h a c a s e t h e s t r e t c h i n g f o r c e i s e q u a l t o t h e o w n w e i g h t o f w i r e . I f ‘ A ’ b e t h e c r o s s - s e c t i o n a r e a o f w i r e a n d ? i t s d e n s i t y , M a s s o f t h e w i r e M = A L P S t r e t c h i n g f o r c e F = m g = A L P g M a x i m u m S t r e s s O r M a s s p e r u n i t l e n g t h o f t h e w i r e , µ = = 6 . 9 x 1 0 - 3 k g / m T h e s p e e d o f w a v e o n t h e w i r e , ? = = 9 3 m / s 7 . W h a t w i l l b e t h e r a t i o o f t h e m o m e n t s o f m a s s e s i f o n e o f t h e m a s s i s ‘ n ’ t i m e s a s h e a v y a s t h e o t h e r , h a v e e q u a l K . E ? A n s . p 1 : p 2 = : 1 8 . A b o y i s s w i n g i n g i n t h e s i t t i n g p o s i t i o n . H o w w i l l t h e p e r i o d o f t h e s w i n g b e c h a n g e d i f h e s t a n d s u p ? A n s . W e c a n u s e t h e c o n c e p t o f s i m p l e p e n d u l u m . W e k n o w t h a t t h e t i m e p e r i o d o f a s i m p l e p e n d u l u m i s g i v e n b y , W h e n t h e b o y s t a n d s u p , t h e d i s t a n c e b e t w e e n t h e p o i n t o f s u s p e n s i o n a n d t h e c e n t r e o f m a s s o f t h e s w i n g i n g b o d y w i l l d e c r e a s e , s o T w i l l d e c r e a s e . 9 . I f t h e m a s s o f a b o x m e a s u r e d b y a g r o c e r ’ s b a l a n c e i s 2 . 3 k g a n d t w o g o l d p i e c e s o f m a s s e s 2 0 . 1 5 g a n d 2 0 . 1 7 g a r e a d d e d t o t h e b o x , t h e n c a l c u l a t e a ) T h e t o t a l m a s s o f t h e b o x . b ) T h e d i f f e r e n c e i n t h e m a s s e s o f t h e p i e c e s t o c o r r e c t s i g n i f i c a n t f i g u r e s . A n s . a ) T o t a l m a s s o f t h e b o x = ( 2 . 3 + 0 . 0 2 1 7 + 0 . 0 2 1 5 ) k g = 2 . 3 4 2 2 k g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 1 , t h e t o t a l m a s s o f t h e b o x = 2 . 3 k g b ) D i f f e r e n c e o f m a s s = 2 . 1 7 – 2 . 1 5 = 0 . 0 2 g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 2 , s o t h e d i f f e r e n c e i n m a s s e s t o t h e c o r r e c t s i g n i f i c a n t f i g u r e s i s 0 . 0 2 g 1 0 . W h a t i s t h e a n g l e o f p r o j e c t i o n a t w h i c h t h e H m a x a n d r a n g e a r e e q u a l ? A n s . S i n 2 ? = 2 x 2 s i n ? c o s ? S i n ? = 4 c o s ? T a n ? = 4 ? = t a n - 1 ( 4 ) Page 4 C B S E C l a s s X I P h y s i c s T i m e a l l o w e d : 3 h o u r s , M a x i m u m M a r k s : 7 0 G e n e r a l I n s t r u c t i o n s : 1 . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . 2 . T h e r e a r e 2 6 q u e s t i o n s i n t o t a l . 3 . Q u e s t i o n s 1 t o 5 a r e v e r y s h o r t a n s w e r t y p e q u e s t i o n s a n d c a r r y o n e m a r k e a c h . 4 . Q u e s t i o n s 6 t o 1 0 c a r r y t w o m a r k s e a c h . 5 . Q u e s t i o n s 1 1 t o 2 2 c a r r y t h r e e m a r k s e a c h . 6 . Q u e s t i o n s 2 3 i s v a l u e b a s e d q u e s t i o n s c a r r y f o u r m a r k s . 7 . Q u e s t i o n s 2 4 t o 2 6 c a r r y f i v e m a r k s e a c h . 8 . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n i n t e r n a l c h o i c e h a s b e e n p r o v i d e d i n o n e q u e s t i o n o f t w o m a r k s , o n e q u e s t i o n o f t h r e e m a r k s a n d a l l t h r e e q u e s t i o n s i n f i v e m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e c h o i c e s i n s u c h q u e s t i o n s . 9 . U s e o f c a l c u l a t o r s i s n o t p e r m i t t e d . H o w e v e r , y o u m a y u s e l o g t a b l e s i f n e c e s s a r y . 1 0 . Y o u m a y u s e t h e f o l l o w i n g v a l u e s o f p h y s i c a l c o n s t a n t s w h e r e v e r n e c e s s a r y : , , , , , 1 . N a m e t h e t w o p a i r s o f p h y s i c a l q u a n t i t i e s w h o s e d i m e n s i o n s a r e s a m e . A n s . a ) S t r e s s a n d Y o u n g ’ s M o d u l u s b ) W o r k a n d E n e r g y 2 . W h a t i s t h e a p p a r e n t w e i g h t f e l t b y a p e r s o n i n a n e l e v a t o r , w h e n i t i s a c c e l e r a t i n g ? ( i ) u p w a r d a n d ( i i ) d o w n w a r d A n s . i ) A p p a r e n t w e i g h t = m ( g + a ) i i ) A p p a r e n t w e i g h t = m ( g - a ) 3 . J u s t i f y : “ W h e n s e v e r a l p a s s e n g e r s a r e s t a n d i n g i n a m o v i n g b u s , i t i s s a i d t o b e d a n g e r o u s . ” A n s . H e r e , t h e c e n t r e o f g r a v i t y o f t h e s y s t e m i s r a i s e d a n d a s s u c h t h e w h o l e s y s t e m i s i n a n u n s t a b l e e q u i l i b r i u m . W h e n t h e r u n n i n g b u s s u d d e n l y s t o p s d u e t o i n e r t i a o f m o t i o n , t h e p a s s e n g e r s f a l l f o r w a r d o n e a c h o t h e r a n d c a u s e s t a m p e d e . 4 . W h a t a r e t h e f a c t o r s o n w h i c h t h e d e g r e e s o f f r e e d o m o f g a s d e p e n d ? A n s . i ) A t o m i c i t y i i ) T e m p e r a t u r e 5 . W h a t a r e t h e c h a r a c t e r i s t i c s o f e l a s t i c c o l l i s i o n ? A n s . i ) K i n e t i c e n e r g y o f t h e s y s t e m r e m a i n s c o n s e r v e d . i i ) L i n e a r m o m e n t u m o f t h e s y s t e m r e m a i n s c o n s e r v e d . 6 . I f b r e a k i n g s t r e s s o f s t e e l = 8 . 0 x 1 0 8 N m - 3 , d e n s i t y o f s t e e l = 8 . 0 x 1 0 3 k g m - 3 a n d g = 1 0 m s - 2 , f i n d t h e g r e a t e s t l e n g t h o f s t e e l w i r e t h a t c a n h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . O r A s t e e l w i r e 0 . 7 2 m l o n g h a s a m a s s o f 5 . 0 x 1 0 - 3 k g . I f t h e w i r e i s u n d e r a t e n s i o n o f 6 0 N , t h e n w h a t i s t h e s p e e d o f t h e t r a n s v e r s e w a v e s o n t h e w i r e ? A n s . L e t ‘ L ’ b e t h e m a x i m u m l e n g t h o f t h e s t e e l w i r e w h i c h c a n b e h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . I n s u c h a c a s e t h e s t r e t c h i n g f o r c e i s e q u a l t o t h e o w n w e i g h t o f w i r e . I f ‘ A ’ b e t h e c r o s s - s e c t i o n a r e a o f w i r e a n d ? i t s d e n s i t y , M a s s o f t h e w i r e M = A L P S t r e t c h i n g f o r c e F = m g = A L P g M a x i m u m S t r e s s O r M a s s p e r u n i t l e n g t h o f t h e w i r e , µ = = 6 . 9 x 1 0 - 3 k g / m T h e s p e e d o f w a v e o n t h e w i r e , ? = = 9 3 m / s 7 . W h a t w i l l b e t h e r a t i o o f t h e m o m e n t s o f m a s s e s i f o n e o f t h e m a s s i s ‘ n ’ t i m e s a s h e a v y a s t h e o t h e r , h a v e e q u a l K . E ? A n s . p 1 : p 2 = : 1 8 . A b o y i s s w i n g i n g i n t h e s i t t i n g p o s i t i o n . H o w w i l l t h e p e r i o d o f t h e s w i n g b e c h a n g e d i f h e s t a n d s u p ? A n s . W e c a n u s e t h e c o n c e p t o f s i m p l e p e n d u l u m . W e k n o w t h a t t h e t i m e p e r i o d o f a s i m p l e p e n d u l u m i s g i v e n b y , W h e n t h e b o y s t a n d s u p , t h e d i s t a n c e b e t w e e n t h e p o i n t o f s u s p e n s i o n a n d t h e c e n t r e o f m a s s o f t h e s w i n g i n g b o d y w i l l d e c r e a s e , s o T w i l l d e c r e a s e . 9 . I f t h e m a s s o f a b o x m e a s u r e d b y a g r o c e r ’ s b a l a n c e i s 2 . 3 k g a n d t w o g o l d p i e c e s o f m a s s e s 2 0 . 1 5 g a n d 2 0 . 1 7 g a r e a d d e d t o t h e b o x , t h e n c a l c u l a t e a ) T h e t o t a l m a s s o f t h e b o x . b ) T h e d i f f e r e n c e i n t h e m a s s e s o f t h e p i e c e s t o c o r r e c t s i g n i f i c a n t f i g u r e s . A n s . a ) T o t a l m a s s o f t h e b o x = ( 2 . 3 + 0 . 0 2 1 7 + 0 . 0 2 1 5 ) k g = 2 . 3 4 2 2 k g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 1 , t h e t o t a l m a s s o f t h e b o x = 2 . 3 k g b ) D i f f e r e n c e o f m a s s = 2 . 1 7 – 2 . 1 5 = 0 . 0 2 g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 2 , s o t h e d i f f e r e n c e i n m a s s e s t o t h e c o r r e c t s i g n i f i c a n t f i g u r e s i s 0 . 0 2 g 1 0 . W h a t i s t h e a n g l e o f p r o j e c t i o n a t w h i c h t h e H m a x a n d r a n g e a r e e q u a l ? A n s . S i n 2 ? = 2 x 2 s i n ? c o s ? S i n ? = 4 c o s ? T a n ? = 4 ? = t a n - 1 ( 4 ) 1 1 . A C a r n o t e n g i n e w h o s e h e a t s i n k i s a t 2 7 0 C h a s a n e f f i c i e n c y o f 4 0 % . B y h o w m a n y d e g r e e s s h o u l d t h e t e m p e r a t u r e o f s o u r c e b e c h a n g e d t o i n c r e a s e t h e e f f i c i e n c y b y 1 0 % o f t h e o r i g i n a l e f f i c i e n c y ? O r A f l a s k c o n t a i n s a r g o n a n d c h l o r i n e i n t h e r a t i o 2 : 1 b y m a s s . T h e t e m p e r a t u r e o f t h e m i x t u r e i s 2 7 0 C . O b t a i n t h e r a t i o o f i ) A v e r a g e K . E . p e r m o l e c u l e i i ) R o o t m e a n s q u a r e s p e e d v m a x o f t h e m o l e c u l e s o f t h e t w o g a s e s . G i v e n : A t o m i c m a s s o f a r g o n = 3 9 . 9 u ; M o l e c u l a r m a s s o f c h l o r i n e = 7 0 . 9 u . A n s . T 2 = 2 7 0 C = 2 7 + 2 7 3 = 3 0 0 K ? = 4 0 % . T 2 = ? T 1 = I n c r e a s e i n e f f i c i e n c y = 1 0 % o f 4 0 = 4 % N e w e f f i c i e n c y ? ’ = 4 0 + 4 = 4 4 % L e t T 1 ’ b e t h e n e w t e m p e r a t u r e o f t h e s o u r c e , I n c r e a s e i n t e m p e r a t u r e o f s o u r c e = 5 3 5 . 7 – 5 0 0 = 3 5 . 7 K O r T h e i m p o r t a n t p o i n t t o r e m e m b e r i s t h a t t h e a v e r a g e K . E o f a n y g a s i s a l w a y s e q u a l t o ( 3 / 2 ) k B T . I t d e p e n d s o n l y o n t e m p e r a t u r e a n d i s i n d e p e n d e n t o f t h e n a t u r e o f t h e g a s . ( i ) S i n c e a r g o n a n d c h l o r i n e b o t h t h e s a m e t e m p e r a t u r e i n t h e f l a s k , t h e r a t i o o f a v e r a g e K . E o f t h e t w o g a s e s i s 1 : 1 ( i i ) N o w ½ m v m a x 2 = a v e r a g e K . E p e r m o l e c u l e = ( 3 / 2 ) k B T , w h e r e m i s t h e m a s s o f m o l e c u l e o f t h e g a s . Page 5 C B S E C l a s s X I P h y s i c s T i m e a l l o w e d : 3 h o u r s , M a x i m u m M a r k s : 7 0 G e n e r a l I n s t r u c t i o n s : 1 . A l l t h e q u e s t i o n s a r e c o m p u l s o r y . 2 . T h e r e a r e 2 6 q u e s t i o n s i n t o t a l . 3 . Q u e s t i o n s 1 t o 5 a r e v e r y s h o r t a n s w e r t y p e q u e s t i o n s a n d c a r r y o n e m a r k e a c h . 4 . Q u e s t i o n s 6 t o 1 0 c a r r y t w o m a r k s e a c h . 5 . Q u e s t i o n s 1 1 t o 2 2 c a r r y t h r e e m a r k s e a c h . 6 . Q u e s t i o n s 2 3 i s v a l u e b a s e d q u e s t i o n s c a r r y f o u r m a r k s . 7 . Q u e s t i o n s 2 4 t o 2 6 c a r r y f i v e m a r k s e a c h . 8 . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n i n t e r n a l c h o i c e h a s b e e n p r o v i d e d i n o n e q u e s t i o n o f t w o m a r k s , o n e q u e s t i o n o f t h r e e m a r k s a n d a l l t h r e e q u e s t i o n s i n f i v e m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e c h o i c e s i n s u c h q u e s t i o n s . 9 . U s e o f c a l c u l a t o r s i s n o t p e r m i t t e d . H o w e v e r , y o u m a y u s e l o g t a b l e s i f n e c e s s a r y . 1 0 . Y o u m a y u s e t h e f o l l o w i n g v a l u e s o f p h y s i c a l c o n s t a n t s w h e r e v e r n e c e s s a r y : , , , , , 1 . N a m e t h e t w o p a i r s o f p h y s i c a l q u a n t i t i e s w h o s e d i m e n s i o n s a r e s a m e . A n s . a ) S t r e s s a n d Y o u n g ’ s M o d u l u s b ) W o r k a n d E n e r g y 2 . W h a t i s t h e a p p a r e n t w e i g h t f e l t b y a p e r s o n i n a n e l e v a t o r , w h e n i t i s a c c e l e r a t i n g ? ( i ) u p w a r d a n d ( i i ) d o w n w a r d A n s . i ) A p p a r e n t w e i g h t = m ( g + a ) i i ) A p p a r e n t w e i g h t = m ( g - a ) 3 . J u s t i f y : “ W h e n s e v e r a l p a s s e n g e r s a r e s t a n d i n g i n a m o v i n g b u s , i t i s s a i d t o b e d a n g e r o u s . ” A n s . H e r e , t h e c e n t r e o f g r a v i t y o f t h e s y s t e m i s r a i s e d a n d a s s u c h t h e w h o l e s y s t e m i s i n a n u n s t a b l e e q u i l i b r i u m . W h e n t h e r u n n i n g b u s s u d d e n l y s t o p s d u e t o i n e r t i a o f m o t i o n , t h e p a s s e n g e r s f a l l f o r w a r d o n e a c h o t h e r a n d c a u s e s t a m p e d e . 4 . W h a t a r e t h e f a c t o r s o n w h i c h t h e d e g r e e s o f f r e e d o m o f g a s d e p e n d ? A n s . i ) A t o m i c i t y i i ) T e m p e r a t u r e 5 . W h a t a r e t h e c h a r a c t e r i s t i c s o f e l a s t i c c o l l i s i o n ? A n s . i ) K i n e t i c e n e r g y o f t h e s y s t e m r e m a i n s c o n s e r v e d . i i ) L i n e a r m o m e n t u m o f t h e s y s t e m r e m a i n s c o n s e r v e d . 6 . I f b r e a k i n g s t r e s s o f s t e e l = 8 . 0 x 1 0 8 N m - 3 , d e n s i t y o f s t e e l = 8 . 0 x 1 0 3 k g m - 3 a n d g = 1 0 m s - 2 , f i n d t h e g r e a t e s t l e n g t h o f s t e e l w i r e t h a t c a n h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . O r A s t e e l w i r e 0 . 7 2 m l o n g h a s a m a s s o f 5 . 0 x 1 0 - 3 k g . I f t h e w i r e i s u n d e r a t e n s i o n o f 6 0 N , t h e n w h a t i s t h e s p e e d o f t h e t r a n s v e r s e w a v e s o n t h e w i r e ? A n s . L e t ‘ L ’ b e t h e m a x i m u m l e n g t h o f t h e s t e e l w i r e w h i c h c a n b e h a n g v e r t i c a l l y w i t h o u t b r e a k i n g . I n s u c h a c a s e t h e s t r e t c h i n g f o r c e i s e q u a l t o t h e o w n w e i g h t o f w i r e . I f ‘ A ’ b e t h e c r o s s - s e c t i o n a r e a o f w i r e a n d ? i t s d e n s i t y , M a s s o f t h e w i r e M = A L P S t r e t c h i n g f o r c e F = m g = A L P g M a x i m u m S t r e s s O r M a s s p e r u n i t l e n g t h o f t h e w i r e , µ = = 6 . 9 x 1 0 - 3 k g / m T h e s p e e d o f w a v e o n t h e w i r e , ? = = 9 3 m / s 7 . W h a t w i l l b e t h e r a t i o o f t h e m o m e n t s o f m a s s e s i f o n e o f t h e m a s s i s ‘ n ’ t i m e s a s h e a v y a s t h e o t h e r , h a v e e q u a l K . E ? A n s . p 1 : p 2 = : 1 8 . A b o y i s s w i n g i n g i n t h e s i t t i n g p o s i t i o n . H o w w i l l t h e p e r i o d o f t h e s w i n g b e c h a n g e d i f h e s t a n d s u p ? A n s . W e c a n u s e t h e c o n c e p t o f s i m p l e p e n d u l u m . W e k n o w t h a t t h e t i m e p e r i o d o f a s i m p l e p e n d u l u m i s g i v e n b y , W h e n t h e b o y s t a n d s u p , t h e d i s t a n c e b e t w e e n t h e p o i n t o f s u s p e n s i o n a n d t h e c e n t r e o f m a s s o f t h e s w i n g i n g b o d y w i l l d e c r e a s e , s o T w i l l d e c r e a s e . 9 . I f t h e m a s s o f a b o x m e a s u r e d b y a g r o c e r ’ s b a l a n c e i s 2 . 3 k g a n d t w o g o l d p i e c e s o f m a s s e s 2 0 . 1 5 g a n d 2 0 . 1 7 g a r e a d d e d t o t h e b o x , t h e n c a l c u l a t e a ) T h e t o t a l m a s s o f t h e b o x . b ) T h e d i f f e r e n c e i n t h e m a s s e s o f t h e p i e c e s t o c o r r e c t s i g n i f i c a n t f i g u r e s . A n s . a ) T o t a l m a s s o f t h e b o x = ( 2 . 3 + 0 . 0 2 1 7 + 0 . 0 2 1 5 ) k g = 2 . 3 4 2 2 k g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 1 , t h e t o t a l m a s s o f t h e b o x = 2 . 3 k g b ) D i f f e r e n c e o f m a s s = 2 . 1 7 – 2 . 1 5 = 0 . 0 2 g S i n c e t h e l e a s t n u m b e r o f d e c i m a l p l a c e s i s 2 , s o t h e d i f f e r e n c e i n m a s s e s t o t h e c o r r e c t s i g n i f i c a n t f i g u r e s i s 0 . 0 2 g 1 0 . W h a t i s t h e a n g l e o f p r o j e c t i o n a t w h i c h t h e H m a x a n d r a n g e a r e e q u a l ? A n s . S i n 2 ? = 2 x 2 s i n ? c o s ? S i n ? = 4 c o s ? T a n ? = 4 ? = t a n - 1 ( 4 ) 1 1 . A C a r n o t e n g i n e w h o s e h e a t s i n k i s a t 2 7 0 C h a s a n e f f i c i e n c y o f 4 0 % . B y h o w m a n y d e g r e e s s h o u l d t h e t e m p e r a t u r e o f s o u r c e b e c h a n g e d t o i n c r e a s e t h e e f f i c i e n c y b y 1 0 % o f t h e o r i g i n a l e f f i c i e n c y ? O r A f l a s k c o n t a i n s a r g o n a n d c h l o r i n e i n t h e r a t i o 2 : 1 b y m a s s . T h e t e m p e r a t u r e o f t h e m i x t u r e i s 2 7 0 C . O b t a i n t h e r a t i o o f i ) A v e r a g e K . E . p e r m o l e c u l e i i ) R o o t m e a n s q u a r e s p e e d v m a x o f t h e m o l e c u l e s o f t h e t w o g a s e s . G i v e n : A t o m i c m a s s o f a r g o n = 3 9 . 9 u ; M o l e c u l a r m a s s o f c h l o r i n e = 7 0 . 9 u . A n s . T 2 = 2 7 0 C = 2 7 + 2 7 3 = 3 0 0 K ? = 4 0 % . T 2 = ? T 1 = I n c r e a s e i n e f f i c i e n c y = 1 0 % o f 4 0 = 4 % N e w e f f i c i e n c y ? ’ = 4 0 + 4 = 4 4 % L e t T 1 ’ b e t h e n e w t e m p e r a t u r e o f t h e s o u r c e , I n c r e a s e i n t e m p e r a t u r e o f s o u r c e = 5 3 5 . 7 – 5 0 0 = 3 5 . 7 K O r T h e i m p o r t a n t p o i n t t o r e m e m b e r i s t h a t t h e a v e r a g e K . E o f a n y g a s i s a l w a y s e q u a l t o ( 3 / 2 ) k B T . I t d e p e n d s o n l y o n t e m p e r a t u r e a n d i s i n d e p e n d e n t o f t h e n a t u r e o f t h e g a s . ( i ) S i n c e a r g o n a n d c h l o r i n e b o t h t h e s a m e t e m p e r a t u r e i n t h e f l a s k , t h e r a t i o o f a v e r a g e K . E o f t h e t w o g a s e s i s 1 : 1 ( i i ) N o w ½ m v m a x 2 = a v e r a g e K . E p e r m o l e c u l e = ( 3 / 2 ) k B T , w h e r e m i s t h e m a s s o f m o l e c u l e o f t h e g a s . W h e r e M d e n o t e s t h e m o l e c u l a r m a s s o f t h e g a s , t a k i n g s q u a r e r o o t o n b o t h s i d e s , N o t e t h a t t h e c o m p o s i t i o n o f t h e m i x t u r e b y m a s s i s q u i t e i r r e l e v a n t t o t h e a b o v e c a l c u l a t i o n . A n y o t h e r p r o p o r t i o n b y m a s s o f a r g o n a n d c h l o r i n e w o u l d g i v e t h e s a m e a n s w e r ( i ) a n d ( i i ) p r o v i d e d t h e t e m p e r a t u r e r e m a i n s u n a l t e r e d . 1 2 . F i n d t h e p r e s s u r e r e q u i r e d t o c o m p r e s s a g a s a d i a b a t i c a l l y a t a t m o s p h e r i c p r e s s u r e t o o n e f i f t h o f i t s v o l u m e ( G i v e n : ? = 1 . 4 ) A n s . P 1 = 1 a t m . V 1 = x c c a n d V 2 = c c ? = 1 . 4 a n d P 2 = ? U s i n g t h e r e l a t i o n P 1 V 1 ? = P 2 V 2 ? P 2 = = ( 5 ) 1 . 4 T a k i n g l o g b o t h s i d e s , w e g e t L o g P 2 = 1 . 4 l o g 5 = 1 . 4 x 0 . 6 9 9 0 = 0 . 9 7 8 6 0 P 2 = 9 . 5 1 9 a t m . 1 3 . I f a b l o c k o f m a s s M i s p l a c e d o n a f r i c t i o n l e s s , i n c l i n e d p l a n e o f a n g l e . D e t e r m i n e a ) T h e a c c e l e r a t i o n o f t h e b l o c k a f t e r i t i s r e l e a s e d b ) T h e f o r c e e x e r t e d b y t h e i n c l i n e o n t h e b l o c k A n s . W h e n t h e b l o c k i s r e l e a s e d , i t w i l l m o v e d o w n t h e i n c l i n e . L e t i t s a c c e l e r a t i o n b e a . A s t h e s u r f a c e i s f r i c t i o n l e s s , s o t h e c o n t a c t f o r c e w i l l b e n o r m a l t o t h e p l a n e . L e t i t b e N .Read More
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FAQs on Past Year Paper, Physics (Set - 1), 2019, Class 11, Physics - Physics for Grade 11
| 1. What is the NEET exam and how does it relate to Physics? |  |
Ans. NEET stands for National Eligibility cum Entrance Test, which is a competitive exam conducted in India for students seeking admission to medical and dental courses. Physics is one of the subjects included in the NEET exam and it tests the candidates' understanding of various concepts and principles in Physics.
| 2. What is the importance of solving past year papers for NEET Physics preparation? | |
Ans. Solving past year papers for NEET Physics is crucial as it helps students familiarize themselves with the exam pattern, understand the types of questions asked, and assess their preparation level. It also gives them an opportunity to practice time management and improve their problem-solving skills.
| 3. How can I effectively prepare for NEET Physics? | |
Ans. To prepare for NEET Physics, it is important to have a clear understanding of the concepts, theories, and formulas. Regular practice of numerical problems and solving sample papers or past year papers will help in strengthening problem-solving skills. Additionally, referring to standard textbooks, attending coaching classes or online tutorials, and seeking clarification for doubts are beneficial for thorough preparation.
| 4. What are some important topics in Physics for NEET exam? | |
Ans. Some important topics in Physics for the NEET exam include Mechanics, Optics, Thermodynamics, Electrostatics, Magnetism, Modern Physics, and Waves. These topics carry significant weightage in the exam and it is essential to have a strong grasp of the concepts and numerical problem-solving skills in these areas.
| 5. Are there any specific strategies to improve time management during the NEET Physics exam? | |
Ans. Yes, there are a few strategies to improve time management during the NEET Physics exam. It is recommended to practice solving questions within a stipulated time frame during the preparation phase. During the exam, it is advisable to quickly skim through the entire question paper to identify easier or familiar questions that can be attempted first. Allotting specific time slots for each section or marking questions that require more time can also help in effectively managing time during the exam.
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