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Mirror in the arrangement shown in figur...

Mirror in the arrangement shown in figure is moving up with speed `8 cm//sec`. There is an object `O` outside water. Speed of final image formed after two refraction and one refraction and the reflection is :
.

A

`10 cm//s`

B

8 cm

C

`12 cm//s`

D

data insufficient

Text Solution

Verified by Experts

The correct Answer is:
C
Apparent distance of mirror from O
`= x + (y)/(mu)`
Distance of final image from O

`=2(x+(y)/(mu))`
velocity of image
`=2((dx)/(dt)+(1)/(mu)(dy)/(dt))=(2)/(mu)xx 8 = (2)/(4//3) xx 8 = 12 cm//s`
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