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Select the correct options
- a)The time period of a simple pendulum varies with the mass of the bob
- b)The time period of two simple pendulum with different masses can never be the same
- c)The time period of two simple pendulum with different masses can be same
- d)The time period of the simple pendulum depends only on length and gravitational acceleration
Correct answer is option 'C,D'. Can you explain this answer?
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Verified Answer
Select the correct optionsa)The time period of a simple pendulum varie...
The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g.
So the correct answers are: The time period of two simple pendulum with different masses can be same, The time period of the simple pendulum depends only on length and gravitational acceleration.
Most Upvoted Answer
Select the correct optionsa)The time period of a simple pendulum varie...
The correct options for the given question are C and D. Let's discuss each option in detail.
Option A: The time period of a simple pendulum varies with the mass of the bob.
This statement is incorrect. The time period of a simple pendulum does not depend on the mass of the bob. It depends on the length of the pendulum and the acceleration due to gravity. The formula for the time period of a simple pendulum is T = 2π√(l/g), where T is the time period, l is the length of the pendulum, and g is the acceleration due to gravity. As we can see from this formula, there is no mention of the mass of the bob. Therefore, the time period remains constant regardless of the mass of the bob.
Option B: The time period of two simple pendulums with different masses can never be the same.
This statement is incorrect. The time period of two simple pendulums with different masses can indeed be the same if their lengths are the same. As mentioned earlier, the time period of a simple pendulum depends only on the length of the pendulum, not on its mass. So, even if the masses of the bobs are different, if the lengths of the pendulums are the same, they will have the same time period.
Option C: The time period of two simple pendulums with different masses can be the same.
This statement is correct. As explained above, if the lengths of two simple pendulums are the same, their time periods will also be the same, irrespective of their masses.
Option D: The time period of the simple pendulum depends only on length.
This statement is correct. The time period of a simple pendulum depends solely on the length of the pendulum and the acceleration due to gravity. It is independent of the mass of the bob or the amplitude of the pendulum's swing. This is why simple pendulums with different masses but the same length will have the same time period.
In conclusion, the correct options are C and D. The time period of two simple pendulums with different masses can be the same if their lengths are the same, and the time period of a simple pendulum depends only on its length.
Option A: The time period of a simple pendulum varies with the mass of the bob.
This statement is incorrect. The time period of a simple pendulum does not depend on the mass of the bob. It depends on the length of the pendulum and the acceleration due to gravity. The formula for the time period of a simple pendulum is T = 2π√(l/g), where T is the time period, l is the length of the pendulum, and g is the acceleration due to gravity. As we can see from this formula, there is no mention of the mass of the bob. Therefore, the time period remains constant regardless of the mass of the bob.
Option B: The time period of two simple pendulums with different masses can never be the same.
This statement is incorrect. The time period of two simple pendulums with different masses can indeed be the same if their lengths are the same. As mentioned earlier, the time period of a simple pendulum depends only on the length of the pendulum, not on its mass. So, even if the masses of the bobs are different, if the lengths of the pendulums are the same, they will have the same time period.
Option C: The time period of two simple pendulums with different masses can be the same.
This statement is correct. As explained above, if the lengths of two simple pendulums are the same, their time periods will also be the same, irrespective of their masses.
Option D: The time period of the simple pendulum depends only on length.
This statement is correct. The time period of a simple pendulum depends solely on the length of the pendulum and the acceleration due to gravity. It is independent of the mass of the bob or the amplitude of the pendulum's swing. This is why simple pendulums with different masses but the same length will have the same time period.
In conclusion, the correct options are C and D. The time period of two simple pendulums with different masses can be the same if their lengths are the same, and the time period of a simple pendulum depends only on its length.
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Select the correct optionsa)The time period of a simple pendulum varie...
D is not correct answer because it doesn't only depend on length but also the gravitational accelaration . If you place a same system in a runing lift vertical , then g will change.
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Select the correct optionsa)The time period of a simple pendulum varies with the mass of the bobb)The time period of two simple pendulum with different masses can never be the samec)The time period of two simple pendulum with different masses can be samed)The time period of the simple pendulum depends only on length and gravitational accelerationCorrect answer is option 'C,D'. Can you explain this answer?
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Solutions for Select the correct optionsa)The time period of a simple pendulum varies with the mass of the bobb)The time period of two simple pendulum with different masses can never be the samec)The time period of two simple pendulum with different masses can be samed)The time period of the simple pendulum depends only on length and gravitational accelerationCorrect answer is option 'C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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