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JEE PHYSICS MCQ: OSCILLATIONS

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A uniform spring has an unstreched length λ\lambda and a force constant k\mathrm{k}. The spring is cut into two parts of unstreched length λ1\lambda_1 and λ2\lambda_2 such that λ1=ηλ2\lambda_1=\eta \lambda_2 where η\eta is an integer. The corresponding force constants k1\mathrm{k}_1 and k2\mathrm{k}_2 are :
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Correct option: D
k(η+1)η\frac{\mathrm{k}(\eta+1)}{\eta} and k(η+1)\mathrm{k}(\eta+1)
The correct answer is D. The force constant is inversely proportional to the length of the spring, so when the spring is cut, the force constants change accordingly.

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