A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

Time period =2πmKIn the figure K1 & K2 are parallelSo, Keff=K1+K2T=2πmK1+K2

A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

Time period =2πmKIn the figure K1 & K2 are parallelSo, Keff=K1+K2T=2πmK1+K2

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A mass m is attached to two strings as shown in figure. The spring constants of two springs are K₁ and K₂. For the frictionless surface, the time period of oscillation of mass m is

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$\frac{1}{2 π} \sqrt{\frac{K_{1} + K_{2}}{m}}$

$2 π \sqrt{\frac{m}{K_{1} + K_{2}}}$

$2 π \sqrt{\frac{m}{K_{1} - K_{2}}}$

$\frac{1}{2 π} \sqrt{\frac{K_{1} - K_{2}}{m}}$

answer is B.

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Detailed Solution

Time period $= 2 π \sqrt{\frac{m}{K}}$

In the figure K₁ & K₂ are parallel

So, $K_{e f f} = K_{1} + K_{2}$

$T = 2 π \sqrt{\frac{m}{K_{1} + K_{2}}}$

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A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

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A mass m is attached to two strings as shown in figure. The spring constants of two springs are K₁ and K₂. For the frictionless surface, the time period of oscillation of mass m is