Q.

A simple harmonic oscillator consists of a block attached to a spring with k = 200 N/m. The block slides on a frictionless horizontal surface, with equilibrium point x = 0.  A graph of the block’s velocity v as a function of time t is shown. Correctly match the required information in the left column with the values (in SI units) given in the right column (useπ2=10)

Question Image
 Column – I Column – II
A)The block’s mass in kgP)– 0.20
B)The block’s displacement at t = 0 in metresQ)– 200
C)The block’s acceleration at t = 0.10s in m/s2R)0.20
D)The block’s maximum kinetic energy in JouleS)4.0

 

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a

A P, B Q, C R, DS

b

A  S, B  R, C  S, D  P

c

A  R, B  P, C  Q, D  S

d

A  R, B  P, C  S, D  Q

answer is C.

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Detailed Solution

Vm=Aω   A=Vmω=2π2π×(0.2)=0.20m

T=2πmkm=T2k4π2=0.2kg

At t = 0.1, acc. is maximum   =ω2A  =200m/s2

Maximum energy =12mVm2=4J

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