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SHM Formulae

In the arrang...

Question

In the arrangement shown in figure, pulley is light & smooth. Find ratio of extension in spring A and spring B.

A

2 : 1

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B

4 : 1

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C

1 : 1

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D

1 : 2

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Solution

The correct option is C 1 : 1
Elongation $= \frac{F o r c e}{K}$
$\begin{matrix} X_{A} = \frac{2 T}{2000} X_{B} = \frac{T}{1000} \end{matrix} ⎫ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎭ X_{A} = X_{B} \frac{X_{A}}{X_{B}} = 1 : 1$

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