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A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is:

(a)

 

(b)

 

(c)

 

(d)


Question ID - 50265 | SaraNextGen Answer

A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is:

(a)

 

(b)

 

(c)

 

(d)

1 Answer - 5876 Votes

3537

Answer Key : (d) -

V=                            …(1)

A=−2x                                       … (2)

|v|=|a|                                        … (3)

  =x

    A2−x2=x2

    52−42=(42)

⇒ 3=×4

T=2/



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