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Test Index
JEE Main Physics Class 12 Ray Optics and Optical Instruments Part 1 Questions
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Question : 38
Total: 99
An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at a speed of 5m/s, the speed and direction of the image will be :
[11 Jan. 2019 I]
2.26
×
10
−
3
m/s away from the lens
0.92
×
10
−
3
m/s away from the lens
3.22
×
10
−
3
m/s towards the lens
1.16
×
10
−
3
m/s towards the lens
Validate
Solution:
By lens formula
1
v
−
1
u
=
1
f
1
v
−
1
(
−
20
)
=
10
3
1
V
=
10
3
−
1
20
1
v
=
197
60
;
v
=
60
197
Magnification of lens (m) is given by
m
=
(
v
u
)
=
(
60
197
)
20
velocity of image wrt. to lens is given by
v
I
∕
L
=
m
2
v
O
∕
L
direction of velocity of image is same as that of object
v
O
∕
L
=
5
m
∕
s
v
I
∕
L
=
(
60
×
1
197
×
20
)
2
=
1.16
×
10
−
3
m
∕
s
towards the lens
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