Oscillations Test

Result

Oscillations Test - 19

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Question 1
4 / -1

A particle of mass m oscillates with SHM between points x₁ and x₂, the equilibrium position being points O. Its P.E. is plotted. It will be as given below in the graph.

A

B

C

D

Solution
Question 2
4 / -1

The displacement time graph of a particle executing SHM is as shown in Fig. The corresponding force – time graph of the particle is

A

B

C

D
Question 3
4 / -1

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that mass executes SHM of time period T. If the mass is increased by m, the time period becomes 5T/3. The ratio of m/M is

A

B

C

D

Solution
Question 4
4 / -1

For a particle executing SHM the displacement x is given by x = A sin ωt. Identify the graph which represents the variation of potential energy (PE) as a function of time and displacement x.

A
I, III

B
II, III

C
I, IV

D
II, IV
Question 5
4 / -1

Let T₁ and T₂ be the time period of spring A and B when mass M is suspended from one end of each spring. If both springs are taken in series and the same mass M is suspended from the series combination, the time period is T, then

A

B

C

D

Solution
Question 6
4 / -1

A particle of mass m is attached to a spring (of force constant k) and has a natural angular frequency ω₀. An external force F (t) proportional to cos ω t (ω ≠ ω₀) is applied to the oscillator. The time displacement of the oscillator will be proportional to

A

B

C

D
Question 7
4 / -1

Two springs are connected to a block of mass M placed on a frictionless surface as shown in Fig. If both the strings have a spring constant k, the frequency oscillation of the block is

A

B

C

D

Solution
Question 8
4 / -1

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

A
increase towards a saturation value

B
remain unchanged

C
first decrease and then increase to the original value

D
first increase and then decrease to the original value

Solution
Question 9
4 / -1

A piece of wood has dimensions a, b and c. Its relative density is d. It is floating in water such that the side c is vertical. It is now pushed down gently and released. The time period is

A

B

C

D

Solution
Question 10
4 / -1

A flexible tube of uniform cross section has one limb A fixed vertically and the other lime B, free to be at any angle with the vertical (Fig). A liquid is poured into the tube so as to fill half of each limb. The level in one is slightly depressed down and released. Then

A
the periods of S.H.M. oscillations of the levels in the two

B
the amplitudes of their oscillations are not equal

C
the amplitudes of S.H. oscillations of the liquid in the two limbs are equal

D
the velocities of the two levels at any instant, along the tube will be equal in magnitude

Solution