Question

When a person approaches a plane mirror with a velocity ‘v’ then what should be relative velocity of approach of person and his image ?​

Answer 1

Answer:

As our velocity = v

Image's velocity = v

Both are moving towards each other.

Therefore

Relative velocity = v + v = 2v

Answer 2

Given,

A person approaches a plane mirror with a velocity = v

To find,

The relative velocity of approach of the person and his image.

Solution,

We can simply solve this numerical problem by using the following process:

As per the principles of ray optics,

When an object approaches or moves away from a plane mirror, then its image also approaches or moves away from the mirror by the same extent, respectively.

Now, according to the question,

A person approaches a plane mirror with a velocity 'v'

=> the image of the person also approaches the plane mirror with the same velocity 'v'

=> both the person and his corresponding image approach towards the plane mirror with the same velocity 'v'

Now, mathematically, when two objects are moving towards each other, then their resultant relative velocity is the sum of their velocities.

=> The relative velocity of approach of the person and his image = velocity of approach of the person + velocity of approach of the person's image

= v + v = 2v

Hence, the relative velocity of approach of the person and his image is equal to 2v units.