Physics
The length of a simple pendulum is made one-fourth. Its time period becomes —
- four times
- one-fourth
- double
- half
Measurements
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Answer
half
Reason — Time period of a simple pendulum is given by:
Time period is directly proportional to the square root of the length of the pendulum.
In the case when length is made one-fourth, we see that —
Hence, we can say that when the length is made four times, time period of a simple pendulum is reduced to half.
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Related Questions
The time period of a simple pendulum depends on :
- Length of pendulum
- Amplitude of oscillation
- Mass of bob
- All of the above
The time period of two pendulums of length 1 m and 16 m are in ratio :
- 1 : 16
- 1 : 4
- 16 : 1
- 4 : 1
The length of a seconds' pendulum is nearly —
- 0.5 m
- 9.8 m
- 1.0 m
- 2.0 m
Identify the incorrect statement(s) from the following :
(I) The time period of oscillations depends on the extent of swing on either side.
(II) The time period of oscillations is directly proportional to the square root of acceleration due to gravity.
(III) The time period of oscillations is inversely proportional to the square root of its effective length.
(IV) The time period of oscillations does not depend on the mass or material of the suspended body.
- (II) and (III)
- Only (II)
- Only (IV)
- (I), (II) and (III)