The frequency of oscillation of a mass m suspended by a spring is v₁. If the length of the spring is cut to half, the same mass oscillates with frequency v₂. The value of v₂/v₁ is ______. (a) 1 (b) 2 (c) √(2) (d) √(3)

Answer: (c). Half-length spring: k₂ = 2k₁. ν ∝ √(k) ⇒ (ν₂)/(ν₁) = √(2). So the answer is (c) √(2).

The frequency of oscillation of a mass m suspended by a spring is v₁… | JEE Main 2026 (8 Apr, Shift 2)

Q1JEE Main 2026 · 8 APR · SHIFT 2Easy

Spring Systems

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 ______.

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Answer: (c)

Half-length spring: $k_2 = 2k_1$ .
$\nu \propto \sqrt{k} \Rightarrow \frac{\nu_2}{\nu_1} = \sqrt{2}$ .
So the answer is (c) $\sqrt{2}$ .

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