Physics Circle home Student Login

Home›Chapters›Oscillations PYQs›Spring Systems›Question 16

MHT CET 2026 (13 May, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2026 (13 May, Shift 1)

Q16MHT CET 2026 · 13 MAY · SHIFT 1Medium

Spring Systems

A body has time period T1T_1 under the action of one force and T2T_2 under the action of another force. The square of the time period when both the forces are acting in the same direction is

Show answer and solution

Answer: (d)

  1. Restoring forces F1=−k1xF_1 = -k_1x, F2=−k2xF_2 = -k_2x add: k=k1+k2k = k_1 + k_2.
  2. T2∝1kT^2 \propto \frac{1}{k}, so 1T2=1T12+1T22\frac{1}{T^2} = \frac{1}{T_1^2} + \frac{1}{T_2^2}.
  3. T2=T12T22T12+T22T^2 = \frac{T_1^2T_2^2}{T_1^2+T_2^2}, so the answer is (d).
Report a mistake

More questions on Spring Systems