The mass of particle executing S-H-M is 1 gm-If its periodic time is - seconds- the value of force constant is-

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Question

The mass of particle executing S.H.M is 1 gm.If its periodic time is $π$ seconds, the value of force constant is:-

4 dynes/cm

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4 N/cm

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4 N/m

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4 dynes/m

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Solution

The correct option is A 4 dynes/cm
Given, mass $m = 1 g m$ ; time period $T = π$ sec
The angular frequency $ω = \frac{2 π}{T} = \frac{2 π}{π} = 2$
As $ω = \sqrt{k / m}$ where ( $k$ is the force constant),
$k = m ω^{2} = (1 g m) (2)^{2} = 4$ dynes/cm

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The mass of particle executing S.H.M is 1 gm.If its periodic time is π seconds, the value of force constant is:-

The correct option is A 4 dynes/cmGiven, mass m=1gm; time period T=π secThe angular frequency ω=2πT=2ππ=2As ω=√k/m where (k is the force constant),k=mω2=(1gm)(2)2=4 dynes/cm

The mass of particle executing S.H.M is 1 gm.If its periodic time is $π$ seconds, the value of force constant is:-

The correct option is A 4 dynes/cm
Given, mass $m = 1 g m$ ; time period $T = π$ sec
The angular frequency $ω = \frac{2 π}{T} = \frac{2 π}{π} = 2$
As $ω = \sqrt{k / m}$ where ( $k$ is the force constant),
$k = m ω^{2} = (1 g m) (2)^{2} = 4$ dynes/cm