A body has SHM period T when suspended from a spring. The spring is cut into two parts in the length ratio 1:3 and the periods using the two parts are T₁ and T₂. Find T₁/T₂.
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A body has SHM period T when suspended from a spring. The spring is cut into two parts in the length ratio 1:3 and the periods using the two parts are T₁ and T₂. Find T₁/T₂.

G1 Physics · Accepted Answer

For a uniform spring, k∝1/L. The cut lengths are in ratio 1:3, so their spring constants are in ratio 3:1. Since T∝1/√k for the same mass, T₁/T₂=1/√3. Correct answer: A.