A block on a friction-less surface is attached to a horizontal spring with force constant

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

A 0.25 kg0.25\,\text{kg} block on a friction-less surface is attached to a horizontal spring with force constant 20 N ⁣/ ⁣m20\,\text{N}\!/\!\text{m}. A simple pendulum is to be constructed so that its period matches that of the block–spring system for small-amplitude motion. What should be the length ll of the pendulum? (a) 0.51 m0.51\,\text{m} (b) 0.25 m0.25\,\text{m} (c) 0.12 m0.12\,\text{m} (d) 1.1 m1.1\,\text{m}

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