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A mass m is suspended separately by two different springs of spring constant K1 and K2 gives the time period t1 and t2 respectively. If the same mass m is connected by both springs as shown in the figure, then time period t is given by the relation

 

a
t = t1+t2
b
t = t1t2t1+t2
c
t2 = t12+t22
d
t-2 = t1-2+t2-2

detailed solution

Correct option is D

t1 = 2πmK1 and t2 = 2πmK2Equivalent spring constant for shown combination is K1 + K2. So time period t is given by t = 2πmK1+K2By solving these equations we get t-2 = t1-2+t2-2

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