A uniform spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l1 and l2 , where l1 = nl2 and n is being an integer. Now. a mass m is made to oscillate with first spring. The time period of its oscillation would be
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a
T=2π mnk(n+1)
b
T=2π mk(n+1)
c
T=2π mnk
d
T=2π m(n+1)nk
answer is A.
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Detailed Solution
k ∝ 1l∵ l1l2=n⇒ l1=nn+1 l or k'=n+1n k∴ T=2πmnk(n+1)