Oscillations Test

Result

Oscillations Test - 22

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Weekly Quiz Competition

Question 1
4 / -1

When a mass M is suspended from the free end of a spring, its periodic time is found to be T. Now, if the spring is divided into two equal parts and the same mass M is suspended and oscillated, the periodic time of oscillation is found to be T’. Then ...........

A
T < T’

B
T = T’

C
T > T’

D
Nothing can be said

Solution
Question 2
4 / -1

A rectangular block having mass m and cross sectional area A is floating in a liquid having density r. If this block in its equilibrium position is given a small vertical displacement, its starts oscillating with periodic time T. Then in this case.....

A

B

C

D

Solution
Question 3
4 / -1

As shown in figure, a spring attached to the ground vertically has a horizontal massless plate with a 2 kg mass in it. When the spring ( massless ) is pressed slightly and released, the 2 kg mass, starts executing S.H.M. The force constant of the spring is 200 N m^-1. For what minimum value of amplitude, will the mass loose contact with the plate? ( Take g = 10 ms^–2 )

A
10.0 cm

B
8.0 cm

C
4.0 cm

D
For any value less than 12.0 cm

Solution
Question 4
4 / -1

Which of the equation given below represents a S.H.M.?
{Here K, K₀ and K₁ are force constants and units of x and a is meter}

A
acceleration = - k ( x + a )

B
acceleration = k ( x + a )

C
acceleration = kx

D
Question 5
4 / -1

The displacement for a particle performing S.H.M. is given by x = A Cos( ùt + Ô). If the initial position of the particle is 1 cm and its initial velocity is p cm s^-1 , then what will be its initial phase ? The angular frequency of the particle is ps^-1

A

B

C

D

Solution
Question 6
4 / -1

A particle having mass 1 kg is executing S.H.M. with an amplitude of 0.01 m and a frequency of 60 hz. The maximum force acting on this particle is ........... N

A
144p²

B
288p²

C
188p²

D
None of these
Question 7
4 / -1

A simple pendulum having length l is given a small angular displacement at time t = 0 and released. After time t, the linear displacement of the bob of the pendulum is given by ..................

A

B

C

D

Solution
Question 8
4 / -1

Two masses m₁ and m₂ are attached to the two ends of a mass less spring having force constant k. When the system is in equilibrium, if the mass m₁ is detached, then the angular frequency of mass m₂ will be .............

A

B

C

D

Solution
Question 9
4 / -1

When the displacement of a S.H.O. is equal to A/2, what fraction of total energy will be equal to kinetic energy? { A is amplitude }

A
2/7

B
3/4

C
2/9

D
5/7

Solution
Question 10
4 / -1

The speed of a particle executing motion changes with time according to the equation y = aSinùt + bCosùt, then ........

A
Motion is periodic but not a S.H.M.

B
It is a S.H.M. with amplitude equal to a + b

C
It is a S.H.M. with amplitude equal to a² + b²

D
Motion is a S.H.M. with amplitude equal to

Solution