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  4. A plane mirror is kept parallel to y-axis. A point object is approaching the mirror with velocity vecu=(10 hati+10 hatj) m / s. The magnitude of relative velocity of objective w.r.t image is equal to <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/178b7a597815171d0377d8e8586329c4-.png />

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Q. A plane mirror is kept parallel to $y$-axis. A point object is approaching the mirror with velocity $\vec{u}=(10 \hat{i}+10 \hat{j}) m / s$. The magnitude of relative velocity of objective w.r.t image is equal to
image

Ray Optics and Optical Instruments

Solution:

Velocity of image in mirror
$\vec{v}=-10 \hat{i}+10 \hat{j} $
$\vec{v}_{\text {rel }}=\vec{u}-\vec{v}=20 \hat{i}$