An object moves with 5 m/s towards right while the mirror moves 1 m/s towards the left as shown. Then the velocity of image

Q. An object moves with 5 m/s towards right while the mirror moves 1 m/s towards the left as shown. Then the velocity of image
 Ray optics

(a) 7m/s towards left

(b) 7m/s towards right

(c) 5m/s towards right

(d) 5m/s towards left

Ans : (a)

Sol:

$ \displaystyle \vec{V_{im}} = $ velocity of image w.r.t mirror

$ \displaystyle \vec{V_{om}} = $ velocity of object w.r.t mirror

Hence ,

$ \displaystyle \vec{V_{im}} = – \vec{V_{om}} $

$ \displaystyle \vec{V_i} – \vec{V_m} = -(\vec{V_o} – \vec{V_m})$

$ \displaystyle \vec{V_i} = 2 \vec{V_m} – \vec{V_o} $

$ \displaystyle \vec{V_i} = 2 (-1) – 5 = -7 $

VI= 7m/s towards left

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