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From last few decades scientist search alternative option to move in space. One idea is to build a boat (mass = m) with large canvas (area A) and accelerate boat by radiation force exerted by solar radiation. Find acceleration of boat when it is at distance r from such (power of sun = P ; assume rays are normally incident on canvas and canvas is 100% reflector of light)

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$\frac{P A}{4 π r^{2} c m}$

$\frac{P A c}{4 π r^{2} m}$

$\frac{P A}{2 π r^{2} c m}$

$\frac{P A c}{2 π r^{2} c m}$

answer is C.

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Detailed Solution

Radiation force on boat $= \frac{2 I A}{C} = \frac{2 P A}{4 π r^{2} C}$
Acceleration $= \frac{P A}{2 π r^{2} C m}$

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