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Oscillations

JEE Main level, numerical answer, medium

164 of 194

Question 164 of 194

Consider two identical springs each of spring constant $k$ and negligible mass compared to the mass $M$ as shown. Fig. $1$ shows one of them and Fig. $2$ shows their series combination. The ratios of time period of oscillation of the two SHM is $\dfrac{{T}_{b}}{{T}_{a}}=\sqrt{x},$ where value of $x$ is ______.
(Round off to the Nearest Integer)

Show answer and solution

Answer: 2

{T}_{a}=2\pi \sqrt{\dfrac{M}{K}}

{T}_{b}=2\pi \sqrt{\dfrac{M}{K/2}}

\dfrac{{T}_{b}}{{T}_{a}}=\sqrt{2}=\sqrt{x}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Oscillations (Applications of SHM), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.