SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

An object is at a distance of 20m 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 5 m/s, the speed and direction of the image will be :

(a)

0.92×10−3 m/s away from the lens

(b)

2.26×10−3 m/s away from the lens

(c)

1.16×10−3 m/s towards the lens

(d)

3.22×10−3 m/s towards the lens


Question ID - 50315 :-

An object is at a distance of 20m 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 5 m/s, the speed and direction of the image will be :

(a)

0.92×10−3 m/s away from the lens

(b)

2.26×10−3 m/s away from the lens

(c)

1.16×10−3 m/s towards the lens

(d)

3.22×10−3 m/s towards the lens

1 Answer
5876 Votes
3537

Answer Key : (c) -

From lens equation

m=

Velocity of image w.r.t to lens is given by VI/Lm2V O/L

direction of velocity of images is same as that of object

VO/L=5 m/s

VI/L=(5)

=1.16×103 m/s towards the lens



Next Question :

A body of mass 1 kg falls freely from lens of 100 m on a platform of mass 3 kg which is mounted on a spring having spring constant K=1.25×106 N/m. The body sticks to the platform and the spring’s maximum compression is found to be x. Given that g=10ms−2, the value of x will be close to

(a)

4 cm

(b)

8 cm

(c)

80 cm

(d)

40 cm


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