A block of mass \( m \), when attached to a uniform ideal spring with force constant \( k \) and...

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A block of mass \( m \), when attached to a uniform ideal spring with force constant \( k \) and free length \( L \) executes SHM. The spring is then cut in two pieces, one with free length \( n L \) and other with free length \( (1-n) L \). The block is also divided in the same fraction. The smaller part of the block attached to longer part of the spring executes SHM with frequency \( f_{1} \). The bigger part of the block attached to smaller part of the spring executes SHM with frequency \( f_{2} \). The ratio \( f_{1} / f_{2} \) is
P
(a) 1
(b) \( \frac{n}{1-n} \)
(c) \( \frac{1+n}{n} \)
(d) \( \frac{n}{1+n} \)
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