Oscillations Test

Result

Oscillations Test - 36

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Weekly Quiz Competition

Question 1
4 / -1

If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τs, then τ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with \'b\' as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds

A
0.693/b

B
b

C
1/b

D
2/b

Solution
Question 2
4 / -1

Two springs of spring constants k₁ and k₂ are connected as shown. The effective spring constant k_e =

A

B

C

D

Solution
Question 3
4 / -1

The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

A

B

C

D

Solution
Question 4
4 / -1

Two identical springs of constant K are connected in series and parallel as shown in figure. A mass m is suspended from them. The ratio of their frequencies of vertical oscillations will be

A
2 : 1

B
1 : 1

C
1 : 2

D
4 : 1

Solution
Question 5
4 / -1

A mass m is suspended from the two coupled springs connected in series. The force constant for springs are K₁. and K₂. The time period of the suspended mass will be

A

B

C

D

Solution
Question 6
4 / -1

A
9/16

B
25/16

C
4/5

D
5/4

Solution
Question 7
4 / -1

A weightless spring which has a force constant oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2 m is suspended from it. The frequency of oscillation will now become

A
n

B
2n

C

D

Solution
Question 8
4 / -1

A mass M is suspended from a light spring. An additional mass m added displaces the spring further by a distance x. Now the combined mass will oscillate on the spring with period

A

B

C

D

Solution
Question 9
4 / -1

A particle of mass 200 gm executes S.H.M. The restoring force is provided by a spring of force constant 80 N/m. The time period of oscillations is

A
0.31 s

B
0.15 s

C
0.05 s

D
0.02 s

Solution
Question 10
4 / -1

The length of a spring is l and its force constant is k. When a weight W is suspended from it, its length increases by x. If the spring is cut into two equal parts and put in parallel and the same weight W is suspended from them, then the extension will be

A

B

C

D

Solution