JEE Main 2026 · 8 Apr · Shift 2 · Physics Q37

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The frequency of oscillation of a mass $m$ suspended by a spring is $v_1$ . If the length of the spring is cut to half, the same mass oscillates with frequency $v_2$ . The value of $v_2/v_1$ is ________.

\sqrt2

\sqrt3

Answer and worked solution

Official answer: C

Half spring. Cutting the spring in half doubles k, and $f\propto\sqrt k$ , so $v_2/v_1=\sqrt2$ .

(C)

Topics:Spring-mass systems

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JEE Main 2026 · 8 Apr · Shift 2, Physics question 37