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Page 1
For JEE Advanced
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
For JEE Advanced
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
Answers
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
For JEE Advanced
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
Answers
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
For JEE Advanced
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
Answers
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
For JEE Advanced
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
Answers
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
Answers
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.
Read More
FAQs on DC Pandey Solutions (JEE Advance): Refraction of Light- 2 - DC Pandey Solutions for JEE Physics
| 1. What is refraction of light? |  |
Ans. Refraction of light is the bending of light as it passes from one medium to another, due to the change in its speed. This phenomenon occurs because light travels at different speeds in different mediums, causing the light ray to change direction at the interface between the two mediums.
| 2. How is the angle of refraction related to the angle of incidence? | |
Ans. The angle of refraction is related to the angle of incidence by Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speeds of light in the two mediums. Mathematically, it can be expressed as:
sin(angle of incidence) / sin(angle of refraction) = speed of light in medium 1 / speed of light in medium 2
| 3. What is the critical angle of refraction? | |
Ans. The critical angle of refraction is the angle of incidence that produces an angle of refraction of 90 degrees. Beyond this angle, the light ray cannot pass through the interface and undergoes total internal reflection. The critical angle can be determined by using the formula:
critical angle = arcsin(speed of light in medium 2 / speed of light in medium 1)
| 4. How does refraction of light explain the formation of rainbows? | |
Ans. Refraction of light plays a crucial role in the formation of rainbows. When sunlight passes through raindrops in the atmosphere, it undergoes multiple refractions and reflections. The different colors of light are refracted at different angles, causing them to separate and form a circular arc of colors in the sky. This phenomenon is known as dispersion, and it results in the beautiful display of a rainbow.
| 5. How does refraction of light affect the apparent depth of objects in water? | |
Ans. Refraction of light causes a change in the apparent depth of objects when viewed in water. When light travels from air to water, it slows down and bends towards the normal. This bending of light makes the object appear higher and closer to the surface of the water than it actually is. This is why objects in water appear shallower than they are in reality.
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