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MHT CET 2026 (20 Apr, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2026 (20 Apr, Shift 1)

Q7MHT CET 2026 · 20 APR · SHIFT 1Easy

Spring Systems

Two springs of force constants ' $2k$ ' and ' $k$ ' are connected to a mass ' $m$ ' as shown. Mass is displaced slightly to one side and released. The frequency of oscillation of the two springs-mass system is

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Answer: (d)

When $m$ moves by $x$ , one spring stretches and the other compresses by $x$ ; both forces act the same way, so the springs are in parallel.
$k_{eff} = 2k + k = 3k$
$f = \frac{1}{2\pi}\sqrt{\frac{3k}{m}}$
So the answer is (d).

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