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Grade 11IIT JEE Entrance Exam

Please explain how rho solve image problem please explain clearly fully..........

Question image for Please explain how rho solve image problem please
Profile image of Sudhanva G V
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 

For string

\\l=42\; cm\\d=6\; mm\Rightarrow r=3\; mm\\A=\pi\; r^{2}\\\Delta l=20\; cm

for stone

\\m=0.02\; kg\\V=20\; m/s

So apply energy conservation.

P.E. stored in string = K.E of stone

\Rightarrow \frac{1}{2}\times Y\times \left ( \frac{\Delta L}{L} \right )^{2}\times A\times L=\frac{1}{2}\; mv^{2}

\Rightarrow Y = \frac{mv^{2}\times L}{(\Delta L)^{2}\times A}

            = \frac{2\times 10^{-2}\times 20\times 20\times 42\times 10^{-2}}{20\times 20\times 10^{-4}\times 3.14 \times 9\times 10^{-6} }

      Y\approx 10^{6}\; N/m^{2}

 

Hope it helps

Regards

Arun (askIITians forum expert)

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