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Chapter 16: Problem 2213

"Bhautik" runs towards a plane mirror with a speed of \(20 \mathrm{~ms}^{-1}\), what is the speed of his image ? (A) \(45 \mathrm{~ms}^{-1}\) (B) \(20 \mathrm{~ms}^{-1}\) (C) \(15 \mathrm{~ms}^{-1}\) (D) \(7.5 \mathrm{~ms}^{-1}\)

Short Answer

Expert verified
The speed of Bhautik's image in the plane mirror is \(20 \mathrm{~ms}^{-1}\). Therefore, the correct answer is (B) \(20 \mathrm{~ms}^{-1}\).

Step by step solution

01

Analyze the movement with respect to the mirror

When Bhautik is running towards the mirror, the distance between him and the mirror is decreasing at a rate of \(20 \mathrm{~ms}^{-1}\). As the plane mirror forms an image that has the same distance away from it as the object, the image will also move in the same direction as Bhautik.
02

Find the speed of the image in the mirror

Since we know that the distance between the object (Bhautik) and its image in the plane mirror are equal and they are moving towards each other in the same direction, the speed of the image will also be equal to the speed of Bhautik.
03

Write the final answer

The speed of Bhautik's image in the plane mirror is \(20 \mathrm{~ms}^{-1}\). Therefore, the correct answer is (B) \(20 \mathrm{~ms}^{-1}\).

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