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Q.

A glass wind screen whose inclination with the vertical can be changed is mounted on a car. The car moves horizontally with a speed of 2m/s. Now the wind screen is placed at angle α with the vertical such that the rain drops falling vertically downwards with velocity 6 m/s strike the wind screen perpendicularly. What is the value of tanα?

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answer is 3.

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Detailed Solution

vr=6m/s,vc=2m/s,vrc=vrvc

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where vrc is relative velocity of rain w.r.t. car. It should be perpendicular to wind screen.

So tanα=vrvc=62=3

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