A point object approaches a plane mirror with a speed of $10 {ms}^{- 𝟏}$ , while the image recedes away from the mirror with a speed of $6 {ms}^{- 𝟏}$ . The direction and magnitude of the velocity of mirror is :-

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towards the object, $8 {ms}^{- 1}$

towards the image, $6 {ms}^{- 1}$

away from the object, $8 {ms}^{- 1}$

away from the object, $2 {ms}^{- 1}$

answer is C.

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Detailed Solution

${\vec{V}}_{I} = 2 {\vec{V}}_{M} - {\vec{V}}_{0}$

$6 = 2 {\vec{V}}_{M} - 10$

${\vec{V}}_{M} = 8 m / s$ (away from the object)

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