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Page 1 2017 Page 2 2017 Solution: 11 parallel 1 2 3 s 1 2 3 s s p K const. 1 Spring constant l 1 1 1 For parallel k K K K 1 2 3 6 3 2 11 66 1 1 1 1 For series K K K K 1 K 6 K 16 1: 11 K 6 11 ? ? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? Q 2. The ratio of resolving powers of an optical microscope for two wavelenght ? 1 =4000 Å and ? 2 =6000 Å is: Option A 9: 4 Option B 3: 2 Option C 16: 81 Option D 8: 27 Correct Option B Solution: 0 1 2 2 1 0 1 Resolving power:P 6000A R / R / 6 : 4 3 :2 4000A ? ? ? ? ? ? ? Q 3. The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system? Option A 20 Hz Option B 30 Hz Option C 40 Hz Option D 10 Hz Correct Option A Solution: Page 3 2017 Solution: 11 parallel 1 2 3 s 1 2 3 s s p K const. 1 Spring constant l 1 1 1 For parallel k K K K 1 2 3 6 3 2 11 66 1 1 1 1 For series K K K K 1 K 6 K 16 1: 11 K 6 11 ? ? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? Q 2. The ratio of resolving powers of an optical microscope for two wavelenght ? 1 =4000 Å and ? 2 =6000 Å is: Option A 9: 4 Option B 3: 2 Option C 16: 81 Option D 8: 27 Correct Option B Solution: 0 1 2 2 1 0 1 Resolving power:P 6000A R / R / 6 : 4 3 :2 4000A ? ? ? ? ? ? ? Q 3. The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system? Option A 20 Hz Option B 30 Hz Option C 40 Hz Option D 10 Hz Correct Option A Solution: ? ? General formula for pipe closed at one end is given by nV Where(n 1,3,5,.....) 4 nV Lets take 220 4 and n 2 V 260 4 n 220 11 n 2 260 13 On solving n=11 so 11 V 220 4 V 220 20Hz 4 11 ? ? ? ? ?? ? ? ? ?? Q 4. Consider a drop of rain water having mass 1g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take ‘g’ constant with a value 10 m/s 2 . The work done by the (i) gravitational force and the (ii) Resistive force of air is: Option A (i) 1.25 J (ii)8.25 J Option B (i) 100 J (ii) 8.75 J Option C (i) 10 J (ii)8.75 J Option D (i) 10 J (ii) 8.25 J Correct Option C Solution: 2 gR g 3 3 R R R According to work energy theorem 1 w w mv 2 w mgh 10 10 1000 10J 1 10 w 10 50 50 2 10 w 1.25 w 8.75J ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ?? Page 4 2017 Solution: 11 parallel 1 2 3 s 1 2 3 s s p K const. 1 Spring constant l 1 1 1 For parallel k K K K 1 2 3 6 3 2 11 66 1 1 1 1 For series K K K K 1 K 6 K 16 1: 11 K 6 11 ? ? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? Q 2. The ratio of resolving powers of an optical microscope for two wavelenght ? 1 =4000 Å and ? 2 =6000 Å is: Option A 9: 4 Option B 3: 2 Option C 16: 81 Option D 8: 27 Correct Option B Solution: 0 1 2 2 1 0 1 Resolving power:P 6000A R / R / 6 : 4 3 :2 4000A ? ? ? ? ? ? ? Q 3. The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system? Option A 20 Hz Option B 30 Hz Option C 40 Hz Option D 10 Hz Correct Option A Solution: ? ? General formula for pipe closed at one end is given by nV Where(n 1,3,5,.....) 4 nV Lets take 220 4 and n 2 V 260 4 n 220 11 n 2 260 13 On solving n=11 so 11 V 220 4 V 220 20Hz 4 11 ? ? ? ? ?? ? ? ? ?? Q 4. Consider a drop of rain water having mass 1g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take ‘g’ constant with a value 10 m/s 2 . The work done by the (i) gravitational force and the (ii) Resistive force of air is: Option A (i) 1.25 J (ii)8.25 J Option B (i) 100 J (ii) 8.75 J Option C (i) 10 J (ii)8.75 J Option D (i) 10 J (ii) 8.25 J Correct Option C Solution: 2 gR g 3 3 R R R According to work energy theorem 1 w w mv 2 w mgh 10 10 1000 10J 1 10 w 10 50 50 2 10 w 1.25 w 8.75J ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ?? Q 5. A physical quantity of the dimension of length that can be formed out of c, G and 2 0 e 4 ?? is [c is velocity of light, G is universal constant of gravitation and e is charge]: Option A 1/2 2 2 0 e cG 4 ?? ?? ?? ?? ?? Option B 1/2 2 2 0 1e G4 C ?? ?? ?? ?? ?? Option C 2 0 1e G c4?? Option D 1/2 2 2 0 1e G 4 c ?? ?? ?? ?? ?? Correct Option D Solution: ? ? ? ? 1 1 3 2 1T 2 1 3 2 0 R 2 PQ 0 QR P P 1 3 2 1 3 2 0 1 0 Q R P 3Q 3R P 2Q 2R 1/2 1/2 2 2 0 G M L T CL e M L T 4 e CG 4 L T M L T M L T M L T M L T Q R 0,Q R P 3Q 3R 1 P 2Q 2R 0 Onsolving 1 Q R ,P 2 2 e 1 G 4 C ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ?? ? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ?? ?? ?? Page 5 2017 Solution: 11 parallel 1 2 3 s 1 2 3 s s p K const. 1 Spring constant l 1 1 1 For parallel k K K K 1 2 3 6 3 2 11 66 1 1 1 1 For series K K K K 1 K 6 K 16 1: 11 K 6 11 ? ? ? ? ? ? ? ? ?? ?? ? ? ? ? ? ? ? Q 2. The ratio of resolving powers of an optical microscope for two wavelenght ? 1 =4000 Å and ? 2 =6000 Å is: Option A 9: 4 Option B 3: 2 Option C 16: 81 Option D 8: 27 Correct Option B Solution: 0 1 2 2 1 0 1 Resolving power:P 6000A R / R / 6 : 4 3 :2 4000A ? ? ? ? ? ? ? Q 3. The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system? Option A 20 Hz Option B 30 Hz Option C 40 Hz Option D 10 Hz Correct Option A Solution: ? ? General formula for pipe closed at one end is given by nV Where(n 1,3,5,.....) 4 nV Lets take 220 4 and n 2 V 260 4 n 220 11 n 2 260 13 On solving n=11 so 11 V 220 4 V 220 20Hz 4 11 ? ? ? ? ?? ? ? ? ?? Q 4. Consider a drop of rain water having mass 1g falling from a height of 1 km. It hits the ground with a speed of 50 m/s. Take ‘g’ constant with a value 10 m/s 2 . The work done by the (i) gravitational force and the (ii) Resistive force of air is: Option A (i) 1.25 J (ii)8.25 J Option B (i) 100 J (ii) 8.75 J Option C (i) 10 J (ii)8.75 J Option D (i) 10 J (ii) 8.25 J Correct Option C Solution: 2 gR g 3 3 R R R According to work energy theorem 1 w w mv 2 w mgh 10 10 1000 10J 1 10 w 10 50 50 2 10 w 1.25 w 8.75J ? ? ?? ? ? ? ? ? ? ? ? ? ? ?? ?? Q 5. A physical quantity of the dimension of length that can be formed out of c, G and 2 0 e 4 ?? is [c is velocity of light, G is universal constant of gravitation and e is charge]: Option A 1/2 2 2 0 e cG 4 ?? ?? ?? ?? ?? Option B 1/2 2 2 0 1e G4 C ?? ?? ?? ?? ?? Option C 2 0 1e G c4?? Option D 1/2 2 2 0 1e G 4 c ?? ?? ?? ?? ?? Correct Option D Solution: ? ? ? ? 1 1 3 2 1T 2 1 3 2 0 R 2 PQ 0 QR P P 1 3 2 1 3 2 0 1 0 Q R P 3Q 3R P 2Q 2R 1/2 1/2 2 2 0 G M L T CL e M L T 4 e CG 4 L T M L T M L T M L T M L T Q R 0,Q R P 3Q 3R 1 P 2Q 2R 0 Onsolving 1 Q R ,P 2 2 e 1 G 4 C ? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ?? ? ?? ?? ?? ?? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?? ?? ?? ?? Q 6. Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K 1 and K 2. The thermal conductivity of the composite rod will be: Option A ? ? 12 3 K K 2 ? Option B K 1 + K 2 Option C 2(K 1 + K 2) Option D 12 KK 2 ? Correct Option D Solution: 12 eff 12 12 R KA 1 1 1 R R R 1 1 1 AA KA KK 22 On solving KK K 2 ? ?? ?? ? ? Q 7. A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system: Option A decreases by a factor of 2 Option B remains the same Option C increases by a factor of 2 Option D increases by a factor of 4 Correct Option ARead More
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