Let the distance of the particle from the mirror be x. We are given dx/dt = v.
If v is the image distance, we've got to find dv/dt.
Now, since we are given R, using lens maker's formula,. we can get f :
1/f = (1-M)(2/R) (M for glass is 1.5)
Now, Using mirror formula, 1/v-1/u=1/f, and differentiating both sides with respect to time, (here f is a constant), You should get the required result.
Moderation Team
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