Home Physics Simple Harmonic Motion (Oscillations) Spring Mass System Two spring of spring constants and are joi…
Physics Simple Harmonic Motion (Oscillations) Spring Mass System MCQ (Single Correct)

Two spring of spring constants and are joined in series. The effective spring constant of the combination is given by:

A
B

C
D

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The correct answer is:
C

Let us consider two springs of spring constants k 1 and k 2 joined in series as shown in figure.

Under a force F, they will stretch by y 1 and y 2

So y = y 1 + y 2

or

but as springs are massless, so force on them must be same i.e., F 1 = F 2 = F.

So

or k =

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