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Simple Harmonic Motion - Multiple Choice Questions

Q23. When a mass M attached to a spring X, as shown in Figure 1, is displaced downwards and released it oscillates with time period T.

An identical spring is connected in series and the same mass M is attached, as shown in figure 2.

What is the new time period?

A T/2

B

C

D 2T

Putting the springs in series halves k (stretch of the system doubles for a given mass)

T1√k 1= T2√k 2

T2 = T1√(k 1/k 2)

T2 = T√2 - choice C