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Q.

A mass m is attached to two springs of same force constant in accordance with the following four configurations. Let T1.,,T2,T3 and T4 be the timeperiods respectively. In which combination, the time period is largest

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a

(i)

b

(ii)

c

(iii)

d

(iv)

answer is B.

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Detailed Solution

The two springs are in parallelkp=k1+k2=k+k=2k T1=T3=2πm2k The two springs are in series 1ks=1k+1k=2k  or  ks=k2 T2 =2π2mk T4=2πmk
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A mass m is attached to two springs of same force constant in accordance with the following four configurations. Let T1.,,T2,T3 and T4 be the timeperiods respectively. In which combination, the time period is largest