Question

A plane mirror is moving with velocity `4 (hat i) + 4 (hat j) + 8 (hat k)`. A point object in front of the mirror moves with a velocity `3 (hat i) + 4 (hat j) + 5 (hat k)`. Here, `hat k` is along the normal to the plane mirror and facing towards the object. The velocity of the image is
A. `-3 (hat i) - 4 (hat j) + 5 (hat k)`
B. `3 (hat i) + 4 (hat j) + 11 (hat k)`
C. `-4 (hat i) + 5 (hat j) + 11 (hat k)`
D. `7 (hat i) +9 (hat j) + 3 (hat k)`

Answer 1

Correct Answer - B
`V_(OM)=V_(O)-V_(M)=(-hat(i)-3hat(k))`
`:. V_(IM)=(-hat(i)+3hat(k))=V_(I)-V_(M)`
or `V_(I)=(-hat(i)+3hat(k))+v_(m`)
`=(3hat(i)+4hat(j)+11hat(k))`