Oscillations

JEE Main level, single correct, medium

182 of 194

Question 182 of 194

Two springs, of force constants k1k_1 and k2k_2, are connected to a mass m\mathrm{m} as shown. The frequency of oscillation of the mass is f\mathrm{f}. If both k1k_1 and k2k_2 are made four times their original values, the frequency of oscillation becomes

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Answer: (D) 2f2 \mathrm{f}

f=12πk1+k2mf′=12π2k1+k2m=2f\begin{aligned} f & =\frac{1}{2 \pi} \sqrt{\frac{k_1+k_2}{m}} \\ f^{\prime} & =\frac{1}{2 \pi} 2 \sqrt{\frac{k_1+k_2}{m}}=2 f\end{aligned}

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