The velocity of a particle of mass m moving along a straight line- changes with time -t- as d2V-dt2 - -KV where -K- is a positive constant which of the following statements are correct -

The correct options are A The particle will perform SHM. B The particle will have time period 2π/√(K) D the particle will have angular frequency √(K) ...

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Byju's Answer

Standard VII

Physics

Displacement

The velocity ...

Question

The velocity of a particle of mass m moving along a straight line- changes with time 't' as $\frac{d^{2} V}{d t^{2}} = - K V$ where 'K' is a positive constant which of the following statements are correct :

The particle will perform SHM.

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The particle will have time period

\frac{2 π}{\sqrt{K}}

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The particle will have time period

2 π \sqrt{\frac{m}{K}}

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the particle will have angular frequency

\sqrt{K}

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Solution

The correct options are
A The particle will perform SHM.
B The particle will have time period $\frac{2 π}{\sqrt{K}}$
D the particle will have angular frequency $\sqrt{K}$ .

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The velocity of a particle of mass m moving along a straight line- changes with time 't' as d2Vdt2=−KV where 'K' is a positive constant which of the following statements are correct :

The correct options are A The particle will perform SHM. B The particle will have time period 2π√K D the particle will have angular frequency √K.

The velocity of a particle of mass m moving along a straight line- changes with time 't' as $\frac{d^{2} V}{d t^{2}} = - K V$ where 'K' is a positive constant which of the following statements are correct :

The correct options are
A The particle will perform SHM.
B The particle will have time period $\frac{2 π}{\sqrt{K}}$
D the particle will have angular frequency $\sqrt{K}$ .