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Q.

A spring has length l and force constant k it is cut into two springs of length l₁and l₂ such that l₁=nl₂ (n = an integer). Mass ‘m’ suspended
from l1oscillates with time period...

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a

$T = 2 π \sqrt{\frac{m}{(n + 1) K}}$

b

$T = 2 π \sqrt{\frac{nm}{(n + 1) K}}$

c

$T = 2 π \sqrt{\frac{m}{K}}$

d

$T = 2 π \sqrt{\frac{(n + 1) m}{K}}$

answer is B.

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Detailed Solution

$K_{1} = (\frac{l_{1} + l_{2}}{l_{1}}) K; T = 2 π \sqrt{\frac{m}{K_{1}}}$

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