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The period of simple pendulum is doubled, when
- a)The mass of the bob is doubled
- b)Its length is made four times
- c)The mass of the bob and the length of the pendulum is doubled
- d)Its length is doubled
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The period of simple pendulum is doubled, whena)The mass of the bob is...
Explanation:
The period of a simple pendulum is the time taken for one complete oscillation of the pendulum. The period of a simple pendulum is given by the formula:
\[T = 2\pi \sqrt{\frac{L}{g}}\]
where:
- \(T\) = period of the pendulum
- \(L\) = length of the pendulum
- \(g\) = acceleration due to gravity
Analysis of Options:
a) The mass of the bob is doubled:
Changing the mass of the bob does not affect the period of the simple pendulum. The period of a simple pendulum is independent of the mass of the bob.
b) Its length is made four times:
According to the formula for the period of a simple pendulum, the period is directly proportional to the square root of the length of the pendulum. Therefore, if the length of the pendulum is made four times, the period will be doubled.
c) The mass of the bob and the length of the pendulum is doubled:
As mentioned earlier, the mass of the bob does not affect the period of the pendulum. Therefore, doubling both the mass and the length will not have an impact on the period of the pendulum.
d) Its length is doubled:
If the length of the pendulum is doubled, the period of the simple pendulum will not be doubled but will be increased by a factor of \(\sqrt{2}\).
Therefore, the correct answer is option B - Its length is made four times.
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Community Answer
The period of simple pendulum is doubled, whena)The mass of the bob is...
If length is doubled time period will also double.
Option D is correct
Option D is correct
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The period of simple pendulum is doubled, whena)The mass of the bob is doubledb)Its length is made four timesc)The mass of the bob and the length of the pendulum is doubledd)Its length is doubledCorrect answer is option 'B'. Can you explain this answer?
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