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light of intensity I is incident persendicularly on a perfectly reflecting plate of area A kept in a gravity free space. If the photons strike the plate symmetrically and initially the spring was at its natural length, find the maximum compression in the springs:

Option: 1

\mathrm{\frac{I A}{K C}}


Option: 2

\mathrm{\frac{2 I a}{3 k c}}


Option: 3

\mathrm{\frac{3 I A}{K C}}


Option: 4

\mathrm{\frac{4 I A}{3 K C}}


Answers (1)

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Force Applied on the plate is 

\mathrm{F=\frac{\Delta p}{t}=\frac{2 I A}{C}}

\mathrm{K_{\text {eq. }}=3 K. (All \ the \ spring \ is \ in \ paramel)}

From work energy theorem 

\mathrm{F \cdot x=\frac{1}{2} k_{e q} x^2 \Rightarrow x=\frac{2 F}{3 k}=\frac{4 I A}{3 k c} .}

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Anam Khan

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