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A plane mirror is placed along the x-axi...

A plane mirror is placed along the x-axis facing negative y-axis. The mirror is fixed, A point object is moving with `3hati+4hatj` in front of the plane mirror. The relative velocity of image with respect to its object is

A

`-8hatj`

B

`8hatj`

C

`3hati-4hatj`

D

`-6hati`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of object, `vecv_(ob) = 3hati+4hatj`
Velocity of image, `vec(v)_("image") = 3hati + 4 hatj`
Reflection velocity of image with respect to its object
`vec(v)_("rel") = vec(v)_("image") - vec(v)_(ob) = (3hati + 4hatj) - (3hati + 4 hatj) = -8hatj`
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