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If two similar springs, each of spring constant K₁, are joined in series, the new spring constant and the new time period are changed respectively by the factors

Asked in JEE Main 26th Feb 1st Shift 2021 · Spring combinations

Answer: (1) 1/2 and √2

Step-by-step solution

In series 1/K=1/(K₁)+1/(K₁), so K=(K₁)/2: the constant changes by 1/2.

T=2π√m/K∝1/(√K), so halving K multiplies T by √2.

Why the other options are wrong

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