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 same mass m is connected by both springs as shown in figure, then time-period t is given by the relation

Question:

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 same mass m is connected by both springs as shown in figure, then time-period t is given by the relation

Options :

(a) t=t1+t2
(b) t= t1t2/t1+t2
(c) t^2=t1^2+t2^2
(d) t^-2=t1^-2+t2^-2

Answer :

(d) t^-2=t₁^-2+t₂^-2

Answer Steps :

step 1

step 2

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