IIT JEE - 02 Q. A thief is running away in a car with velocity of 20 m/s. A police jeep is following him, which is sighted by thief in his rear view mirror, which is a convex mirror of focal length 10 m. He observes that the image of jeep is moving towards him with a velocity of 1 cm/s. If the magnification of mirror for the jeep at that time is 1/10, Find : a) the actual speed of jeep, b) rate at which magnification is changing. Assume the police jeep is on axis of the mirror.

IIT JEE - 02

Q. A thief is running away in a car with velocity of 20 m/s. A police jeep is following him, which is sighted by thief in his rear view mirror, which is a convex mirror of focal length 10 m. He observes that the image of jeep is moving towards him with a velocity of 1 cm/s. If the magnification of mirror for the jeep at that time is 1/10, Find :

a) the actual speed of jeep,

b) rate at which magnification is changing.

Assume the police jeep is on axis of the mirror.