A plane mirror is moving with velocity $4 \hat{i} + 5 \hat{j} + 8 \hat{k} .$ The point object in front of the mirror moves with a velocity $3 \hat{i} + 4 \hat{j} + 5 \hat{k}, h e r e \hat{k}$ is along the normal to the plane mirror and facing towards the object. The velocity of the images with respect to ground (The given velocities are w.r.t ground) is :

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$- 3 \hat{i} - 4 \hat{j} + 5 \hat{k}$

$3 \hat{i} + 4 \hat{j} + 11 \hat{k}$

$- 3 \hat{i} - 4 \hat{j} + 11 \hat{k}$

$7 \hat{i} + 4 \hat{j} + 11 \hat{k}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

${\vec{v}}_{M} = 4 \hat{i} + 5 \hat{j} + 8 \hat{k}, {\vec{v}}_{0} = 3 \hat{i} + 4 \hat{j} + 5 \hat{k}$

$∴$ Plane of the mirror is xy $∴ {\vec{v}}_{_{I}} = 3 \hat{i} + 4 \hat{j}$ and for $\hat{k} v_{I Z} = 2 {\vec{v}}_{_{M Z}} - {\vec{v}}_{_{O Z}} = 2 \times 8 - 5 = 11 \Rightarrow {\vec{v}}_{I} = 3 \hat{i} + 4 \hat{j} + 11 \hat{k}$

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th