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

Options

A. `-8hatj`
B. `8hatj`
C. `3hati-4hatj`
D. `-6hati`

Answer

A

Explanation

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`