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Q.

On a particle moving on a circular path with a constant speed $v$ , light is thrown from a projectors placed at the centre of the circular path. The shadow of the particle is formed on the wall. The velocity of shadow up the wall is

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a

$v \sec^{2} f$

b

$v \cos^{2} f$

c

$v \cos f$

d

None of these

answer is A.

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Detailed Solution

Question Image

$y = R \tan θ$

$\frac{d y}{d t} = R \sec^{2} θ = \frac{d v}{d t}; V_{y} = R \sec^{2} θ (θ) V_{y} = R \sec^{2} θ (\frac{v}{R}) = V \sec^{2} θ$

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On a particle moving on a circular path with a constant speed v, light is thrown from a projectors placed at the centre of the circular path. The shadow of the particle is formed on the wall. The velocity of shadow up the wall is