Question:
Given below are two statements :
Statement I : A second's pendulum has a time period of 1 second.
Statement II : It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below :
Given below are two statements :
Statement I : A second's pendulum has a time period of 1 second.
Statement II : It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below :
Statement I : A second's pendulum has a time period of 1 second.
Statement II : It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below :
Show Hint
A second's pendulum is defined as one whose half time period (one swing between extremes) is 1 s, so its time period is 2 s.
Updated On: Nov 4, 2026
- Both Statement I and Statement II are false
- Statement I is false but Statement II is true
- Both Statement I and Statement II are true
- Statement I is true but Statement II is false
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The Correct Option is B
Solution and Explanation
A second's pendulum is a pendulum that takes exactly 1 s to go from one extreme position to the other extreme position.
Going from one extreme to the other is half an oscillation, so its time period is \(T = 2 \times 1 = 2\ \mathrm{s}\), not 1 s.
Hence Statement I (time period of 1 second) is false.
Statement II (precisely one second between the two extreme positions) is true, as it is the definition of a second's pendulum.
So Statement I is false but Statement II is true.
Answer: (2) Statement I is false but Statement II is true
Going from one extreme to the other is half an oscillation, so its time period is \(T = 2 \times 1 = 2\ \mathrm{s}\), not 1 s.
Hence Statement I (time period of 1 second) is false.
Statement II (precisely one second between the two extreme positions) is true, as it is the definition of a second's pendulum.
So Statement I is false but Statement II is true.
Answer: (2) Statement I is false but Statement II is true
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