JEE Exam > JEE Questions > The period of a simple pendulum is doubled wh...
Start Learning for Free
The period of a simple pendulum is doubled when
- a)The mass of the bob and the length of the pendulum are doubled
- b)The mass of the bob is doubled
- c)Its length is increased four times
- d)Its length is doubled
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The period of a simple pendulum is doubled whena)The mass of the bob a...
The Period of a Simple Pendulum
The period of a simple pendulum is determined by the formula:
T = 2π√(L/g)
where:
- T is the period
- L is the length of the pendulum
- g is the acceleration due to gravity
Understanding the Influence of Length on Period
- The period T is directly proportional to the square root of the length L.
- This means if you increase the length L, the period T increases.
Explaining the Correct Answer (Option C)
- If the length of the pendulum is increased four times (L becomes 4L), the new period T' can be calculated as follows:
T' = 2π√(4L/g) = 2π√(4)√(L/g) = 2 * 2π√(L/g) = 2T
- This shows that the period T' is now doubled.
Analysis of Other Options
- Option A: Doubling mass and length does not double the period. The mass does not impact the period; it only affects the amplitude.
- Option B: Doubling the mass of the bob does not change the period at all; it remains T.
- Option D: Doubling the length (L becomes 2L) results in:
T' = 2π√(2L/g) = √2 * T (not doubled).
Conclusion
Thus, the only scenario where the period of a simple pendulum is doubled is when its length is increased four times, making Option C the correct answer.
The period of a simple pendulum is determined by the formula:
T = 2π√(L/g)
where:
- T is the period
- L is the length of the pendulum
- g is the acceleration due to gravity
Understanding the Influence of Length on Period
- The period T is directly proportional to the square root of the length L.
- This means if you increase the length L, the period T increases.
Explaining the Correct Answer (Option C)
- If the length of the pendulum is increased four times (L becomes 4L), the new period T' can be calculated as follows:
T' = 2π√(4L/g) = 2π√(4)√(L/g) = 2 * 2π√(L/g) = 2T
- This shows that the period T' is now doubled.
Analysis of Other Options
- Option A: Doubling mass and length does not double the period. The mass does not impact the period; it only affects the amplitude.
- Option B: Doubling the mass of the bob does not change the period at all; it remains T.
- Option D: Doubling the length (L becomes 2L) results in:
T' = 2π√(2L/g) = √2 * T (not doubled).
Conclusion
Thus, the only scenario where the period of a simple pendulum is doubled is when its length is increased four times, making Option C the correct answer.
|
Explore Courses for JEE exam
|
|
Top Courses for JEEView all
Question Description
The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer?.
The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The period of a simple pendulum is doubled whena)The mass of the bob and the length of the pendulum are doubledb)The mass of the bob is doubledc)Its length is increased four timesd)Its length is doubledCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily