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# Refraction of Light: JEE Advance (Part- 2) - Physics, Solution by DC Pandey NEET Notes | EduRev

## DC Pandey (Questions & Solutions) of Physics: NEET

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## NEET : Refraction of Light: JEE Advance (Part- 2) - Physics, Solution by DC Pandey NEET Notes | EduRev

``` Page 1

More than One Correct Options

Q 1.  n number of identical equilateral prisms are kept in contact as shown in figure. If deviation
through a single prism is ?. Then (n, m are integers)

(a) if n = 2m, deviation through n prisms is zero
(b) if n = 2m + 1, deviation through system of n prisms is ?
(c) if n = 2m, deviation through system of n prisms is ?
(d) if n = 2m + 1, deviation through system of n prisms is zero
Q 2.  A ray of monochromatic light is incident on the plane surface of separation between two media x
and y with angle of incidence i in the mediumx and angle of refraction r in the medium y. The
graph shows the relation between sin i and sin r

(a) The speed of light in the medium y is 3 times than in medium x
(b) The speed of light in the medium y is
1
3
times than in medium x
(c) The total internal reflection can take place when the incidence is in x
(d) The total internal reflection can take place when the incidence is in y
Q 3.  Which of the following statements is/are true?
(a) In vacuum the speed of red colour is more than that of violet color
(b) An object in front of a mirror is moved towards the pole of a spherical mirror from infinity, it
is found that image also moves towards the pole. The mirror must be convex
(c) There exist two angles of incidence in a prism for which angles of deviation are same except
minimum deviation
(d) A ray travels from a rarer medium to denser medium. There exist three angles of incidence for
which the deviation is same
Q 4.  A lens of focal length/is placed in between an object and screen at a distance D. The lens forms
two real images of object on the screen for two of its different positions, a distance x apart. The
two real images have magnifications m
1
and m
2
respectively (m
1
> m
2
). Choose the correct
statement(s).
(a) m
1
m
2
= - 1   (b) m
1
m
2
=1  (c)
22
Dx
f
4D
?
?  (d) D ? 4f
Page 2

More than One Correct Options

Q 1.  n number of identical equilateral prisms are kept in contact as shown in figure. If deviation
through a single prism is ?. Then (n, m are integers)

(a) if n = 2m, deviation through n prisms is zero
(b) if n = 2m + 1, deviation through system of n prisms is ?
(c) if n = 2m, deviation through system of n prisms is ?
(d) if n = 2m + 1, deviation through system of n prisms is zero
Q 2.  A ray of monochromatic light is incident on the plane surface of separation between two media x
and y with angle of incidence i in the mediumx and angle of refraction r in the medium y. The
graph shows the relation between sin i and sin r

(a) The speed of light in the medium y is 3 times than in medium x
(b) The speed of light in the medium y is
1
3
times than in medium x
(c) The total internal reflection can take place when the incidence is in x
(d) The total internal reflection can take place when the incidence is in y
Q 3.  Which of the following statements is/are true?
(a) In vacuum the speed of red colour is more than that of violet color
(b) An object in front of a mirror is moved towards the pole of a spherical mirror from infinity, it
is found that image also moves towards the pole. The mirror must be convex
(c) There exist two angles of incidence in a prism for which angles of deviation are same except
minimum deviation
(d) A ray travels from a rarer medium to denser medium. There exist three angles of incidence for
which the deviation is same
Q 4.  A lens of focal length/is placed in between an object and screen at a distance D. The lens forms
two real images of object on the screen for two of its different positions, a distance x apart. The
two real images have magnifications m
1
and m
2
respectively (m
1
> m
2
). Choose the correct
statement(s).
(a) m
1
m
2
= - 1   (b) m
1
m
2
=1  (c)
22
Dx
f
4D
?
?  (d) D ? 4f
Q 5.  A small angled prism of apex angle A =4° and refractive index ? = 1.5

is placed in front of a
vertical plane mirror as shown in figure. If the mirror is rotated through an angle ? then the light
ray becomes horizontal either after the mirror or after second time from the prism. The value of ?
is

(a) 1°    (b) 2°   (c) 4°    (d) Not possible
1. (a,b) 2. (b,d) 3. (b,c) 4. (b,c,d) 5. (a,b)
Solutions
1.  For n = 2m, it is just like slab.

?  Deviation = 0
For n = 2m+ 1, it is just like an identical prism of larger size.

2.

Speed of light in medium-y is less. So, it is denser. T/R takes place when ray of travels
from denser to rarer medium.
3.  (a) If vacuum speed of light of all colours is same.
(b)
If object moves from to P then its virtual, erect and diminished image moves from F to P.
Page 3

More than One Correct Options

Q 1.  n number of identical equilateral prisms are kept in contact as shown in figure. If deviation
through a single prism is ?. Then (n, m are integers)

(a) if n = 2m, deviation through n prisms is zero
(b) if n = 2m + 1, deviation through system of n prisms is ?
(c) if n = 2m, deviation through system of n prisms is ?
(d) if n = 2m + 1, deviation through system of n prisms is zero
Q 2.  A ray of monochromatic light is incident on the plane surface of separation between two media x
and y with angle of incidence i in the mediumx and angle of refraction r in the medium y. The
graph shows the relation between sin i and sin r

(a) The speed of light in the medium y is 3 times than in medium x
(b) The speed of light in the medium y is
1
3
times than in medium x
(c) The total internal reflection can take place when the incidence is in x
(d) The total internal reflection can take place when the incidence is in y
Q 3.  Which of the following statements is/are true?
(a) In vacuum the speed of red colour is more than that of violet color
(b) An object in front of a mirror is moved towards the pole of a spherical mirror from infinity, it
is found that image also moves towards the pole. The mirror must be convex
(c) There exist two angles of incidence in a prism for which angles of deviation are same except
minimum deviation
(d) A ray travels from a rarer medium to denser medium. There exist three angles of incidence for
which the deviation is same
Q 4.  A lens of focal length/is placed in between an object and screen at a distance D. The lens forms
two real images of object on the screen for two of its different positions, a distance x apart. The
two real images have magnifications m
1
and m
2
respectively (m
1
> m
2
). Choose the correct
statement(s).
(a) m
1
m
2
= - 1   (b) m
1
m
2
=1  (c)
22
Dx
f
4D
?
?  (d) D ? 4f
Q 5.  A small angled prism of apex angle A =4° and refractive index ? = 1.5

is placed in front of a
vertical plane mirror as shown in figure. If the mirror is rotated through an angle ? then the light
ray becomes horizontal either after the mirror or after second time from the prism. The value of ?
is

(a) 1°    (b) 2°   (c) 4°    (d) Not possible
1. (a,b) 2. (b,d) 3. (b,c) 4. (b,c,d) 5. (a,b)
Solutions
1.  For n = 2m, it is just like slab.

?  Deviation = 0
For n = 2m+ 1, it is just like an identical prism of larger size.

2.

Speed of light in medium-y is less. So, it is denser. T/R takes place when ray of travels
from denser to rarer medium.
3.  (a) If vacuum speed of light of all colours is same.
(b)
If object moves from to P then its virtual, erect and diminished image moves from F to P.
(c)
4.  Displacement method of finding focal length of convex lens.
5.  Deviation ? = ( ? - 1) A = (1.5-1) 4° = 2°
(a)
To rotate ray MP by 2° (to make it parallel to MN) we will have to rotate the mirror only by 1°.
(b) Without prism, ray of light was falling normal to plane mirror. So ray of light was retracing its
path prism has deviated it 2°.
So if we rotate the mirror by 2°, ray of light further falls normal to plan mirror and retraces its
path.

Match the Columns
Q 1.  Match the following two columns for a convex lens corresponding to object position shown in
column I.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Note O ? optical centre, F
1
? first focus and F
2
? second focus.
Q 2.  Match the following two columns for a concave lens corresponding to object position shown in
column II.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Q 3.  Match the following two columns corresponding to single refraction from plane surface. In all
cases shown in column I, ?
1
> ?
2
.

Column I Column II
Page 4

More than One Correct Options

Q 1.  n number of identical equilateral prisms are kept in contact as shown in figure. If deviation
through a single prism is ?. Then (n, m are integers)

(a) if n = 2m, deviation through n prisms is zero
(b) if n = 2m + 1, deviation through system of n prisms is ?
(c) if n = 2m, deviation through system of n prisms is ?
(d) if n = 2m + 1, deviation through system of n prisms is zero
Q 2.  A ray of monochromatic light is incident on the plane surface of separation between two media x
and y with angle of incidence i in the mediumx and angle of refraction r in the medium y. The
graph shows the relation between sin i and sin r

(a) The speed of light in the medium y is 3 times than in medium x
(b) The speed of light in the medium y is
1
3
times than in medium x
(c) The total internal reflection can take place when the incidence is in x
(d) The total internal reflection can take place when the incidence is in y
Q 3.  Which of the following statements is/are true?
(a) In vacuum the speed of red colour is more than that of violet color
(b) An object in front of a mirror is moved towards the pole of a spherical mirror from infinity, it
is found that image also moves towards the pole. The mirror must be convex
(c) There exist two angles of incidence in a prism for which angles of deviation are same except
minimum deviation
(d) A ray travels from a rarer medium to denser medium. There exist three angles of incidence for
which the deviation is same
Q 4.  A lens of focal length/is placed in between an object and screen at a distance D. The lens forms
two real images of object on the screen for two of its different positions, a distance x apart. The
two real images have magnifications m
1
and m
2
respectively (m
1
> m
2
). Choose the correct
statement(s).
(a) m
1
m
2
= - 1   (b) m
1
m
2
=1  (c)
22
Dx
f
4D
?
?  (d) D ? 4f
Q 5.  A small angled prism of apex angle A =4° and refractive index ? = 1.5

is placed in front of a
vertical plane mirror as shown in figure. If the mirror is rotated through an angle ? then the light
ray becomes horizontal either after the mirror or after second time from the prism. The value of ?
is

(a) 1°    (b) 2°   (c) 4°    (d) Not possible
1. (a,b) 2. (b,d) 3. (b,c) 4. (b,c,d) 5. (a,b)
Solutions
1.  For n = 2m, it is just like slab.

?  Deviation = 0
For n = 2m+ 1, it is just like an identical prism of larger size.

2.

Speed of light in medium-y is less. So, it is denser. T/R takes place when ray of travels
from denser to rarer medium.
3.  (a) If vacuum speed of light of all colours is same.
(b)
If object moves from to P then its virtual, erect and diminished image moves from F to P.
(c)
4.  Displacement method of finding focal length of convex lens.
5.  Deviation ? = ( ? - 1) A = (1.5-1) 4° = 2°
(a)
To rotate ray MP by 2° (to make it parallel to MN) we will have to rotate the mirror only by 1°.
(b) Without prism, ray of light was falling normal to plane mirror. So ray of light was retracing its
path prism has deviated it 2°.
So if we rotate the mirror by 2°, ray of light further falls normal to plan mirror and retraces its
path.

Match the Columns
Q 1.  Match the following two columns for a convex lens corresponding to object position shown in
column I.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Note O ? optical centre, F
1
? first focus and F
2
? second focus.
Q 2.  Match the following two columns for a concave lens corresponding to object position shown in
column II.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Q 3.  Match the following two columns corresponding to single refraction from plane surface. In all
cases shown in column I, ?
1
> ?
2
.

Column I Column II
(a) (p) Image distance greater than x from plane surface
(b) (q) Image distance less than x from plane surface
(c)
(r) Real image
(d) (s) Virtual image
Q 4.  Match the following two columns.
Column I Column II
(a)
(p) Real image
(b)
(q) Virtual image

(c)
(r) May be real or virtual image
(d)
(s) Image is at infinity
Q 5.  A convex lens L
1
and a concave lens L
2
have refractive index 1.5. Match the following two
columns.
Column I Column II
(a) L
1
is immersed in a liquid of refractive index 1.4 (p) Lens will behave as convex lens
(b) L
1
is immersed in a liquid of refractive index 1.6 (q) Lens will behave as concave lens
(c) L
2
is immersed in a liquid of refractive index 1.4 (r) Magnitude of power of lens will increase
(d) L
2
is immersed in a liquid of refractive index 1.6 (s) Magnitude of power of lens will decrease
Page 5

More than One Correct Options

Q 1.  n number of identical equilateral prisms are kept in contact as shown in figure. If deviation
through a single prism is ?. Then (n, m are integers)

(a) if n = 2m, deviation through n prisms is zero
(b) if n = 2m + 1, deviation through system of n prisms is ?
(c) if n = 2m, deviation through system of n prisms is ?
(d) if n = 2m + 1, deviation through system of n prisms is zero
Q 2.  A ray of monochromatic light is incident on the plane surface of separation between two media x
and y with angle of incidence i in the mediumx and angle of refraction r in the medium y. The
graph shows the relation between sin i and sin r

(a) The speed of light in the medium y is 3 times than in medium x
(b) The speed of light in the medium y is
1
3
times than in medium x
(c) The total internal reflection can take place when the incidence is in x
(d) The total internal reflection can take place when the incidence is in y
Q 3.  Which of the following statements is/are true?
(a) In vacuum the speed of red colour is more than that of violet color
(b) An object in front of a mirror is moved towards the pole of a spherical mirror from infinity, it
is found that image also moves towards the pole. The mirror must be convex
(c) There exist two angles of incidence in a prism for which angles of deviation are same except
minimum deviation
(d) A ray travels from a rarer medium to denser medium. There exist three angles of incidence for
which the deviation is same
Q 4.  A lens of focal length/is placed in between an object and screen at a distance D. The lens forms
two real images of object on the screen for two of its different positions, a distance x apart. The
two real images have magnifications m
1
and m
2
respectively (m
1
> m
2
). Choose the correct
statement(s).
(a) m
1
m
2
= - 1   (b) m
1
m
2
=1  (c)
22
Dx
f
4D
?
?  (d) D ? 4f
Q 5.  A small angled prism of apex angle A =4° and refractive index ? = 1.5

is placed in front of a
vertical plane mirror as shown in figure. If the mirror is rotated through an angle ? then the light
ray becomes horizontal either after the mirror or after second time from the prism. The value of ?
is

(a) 1°    (b) 2°   (c) 4°    (d) Not possible
1. (a,b) 2. (b,d) 3. (b,c) 4. (b,c,d) 5. (a,b)
Solutions
1.  For n = 2m, it is just like slab.

?  Deviation = 0
For n = 2m+ 1, it is just like an identical prism of larger size.

2.

Speed of light in medium-y is less. So, it is denser. T/R takes place when ray of travels
from denser to rarer medium.
3.  (a) If vacuum speed of light of all colours is same.
(b)
If object moves from to P then its virtual, erect and diminished image moves from F to P.
(c)
4.  Displacement method of finding focal length of convex lens.
5.  Deviation ? = ( ? - 1) A = (1.5-1) 4° = 2°
(a)
To rotate ray MP by 2° (to make it parallel to MN) we will have to rotate the mirror only by 1°.
(b) Without prism, ray of light was falling normal to plane mirror. So ray of light was retracing its
path prism has deviated it 2°.
So if we rotate the mirror by 2°, ray of light further falls normal to plan mirror and retraces its
path.

Match the Columns
Q 1.  Match the following two columns for a convex lens corresponding to object position shown in
column I.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Note O ? optical centre, F
1
? first focus and F
2
? second focus.
Q 2.  Match the following two columns for a concave lens corresponding to object position shown in
column II.
Column I Column II
(a) Between O and F
1
(p) Real
(b) Between F
1
and 2F
1
(q) Virtual
(c) Between O and F
2
(r) Erect
(d) Between F
2
and 2F
2
(s) Inverted
Q 3.  Match the following two columns corresponding to single refraction from plane surface. In all
cases shown in column I, ?
1
> ?
2
.

Column I Column II
(a) (p) Image distance greater than x from plane surface
(b) (q) Image distance less than x from plane surface
(c)
(r) Real image
(d) (s) Virtual image
Q 4.  Match the following two columns.
Column I Column II
(a)
(p) Real image
(b)
(q) Virtual image

(c)
(r) May be real or virtual image
(d)
(s) Image is at infinity
Q 5.  A convex lens L
1
and a concave lens L
2
have refractive index 1.5. Match the following two
columns.
Column I Column II
(a) L
1
is immersed in a liquid of refractive index 1.4 (p) Lens will behave as convex lens
(b) L
1
is immersed in a liquid of refractive index 1.6 (q) Lens will behave as concave lens
(c) L
2
is immersed in a liquid of refractive index 1.4 (r) Magnitude of power of lens will increase
(d) L
2
is immersed in a liquid of refractive index 1.6 (s) Magnitude of power of lens will decrease
Q 6.  Consider a linear extended object that could be real or virtual with its length at right angles to the
optic axis of a lens. With regard to image formation by lenses.
Column I Column II
(a) Image of the same size as the object  (p) Concave lens in case of real object
(b) Virtual image of a size greater than the object  (q) Convex lens in case of real object
(c) Real image of a size smaller than the object  (r) Concave lens in case of virtual object
(d) Real and magnified image \ (s) Convex lens in case of virtual object
1. (a) ? q,r (b) ? p,s (c) ? p,r (d) ? p,r  2. (a) ? p,r (b) ? q,s (c) ? q,r (d) ? q,r
3. (a) ? q,s (b) ? q,r (c) ?p,s (d) ? p,r  4. (a) ? q (b) ? r (c) ? r (d) ? p
5. (a) ? p,s (b) ? q,s (c) ? q,s (d) ? p,s  6. (a) ? q,r (b) ? q,r (c) ? q,r (d) ? q,r
Solutions
1.  (c) and (d)

Between O and F
2
, or between F
2
and 2F
2
, u is positive. So, v is also positive.
is positive
Therefore image is real (as v is positive) and erect (as m is also positive).
2.  (a)

Between O and F
1
, u is positive and less than f. So, v is positive (therefore image is real).
Further from

We can see that m is allow positive. So, it is erect also.
(b)

Between F
1
and 2F
1
, ? positive and greater than f.
So, v negative (therefore image is virtual). Further from

We can see that m is negative so, image is inverted.
3.  (a) and (b)

i.e.,v and u are of same sign.
Or they are on same side of plane surface. From plane surface, if object is real, image is virtual
and vice-versa.
```
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