JEE Exam > JEE Questions > The length of a simple pendulum is increased ...
Start Learning for Free
The length of a simple pendulum is increased by 1%. Its time period will
- a)Increase by 2%
- b)Increase by 1%
- c)Increase by 0.5%
- d)Decrease by 0.5%
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The length of a simple pendulum is increased by 1%. Its time period wi...
The time period of a simple pendulum depends on its length. The longer the length, the longer it takes for the pendulum to complete one oscillation.
Effect of increasing the length of a simple pendulum by 1%
When the length of a simple pendulum is increased by 1%, it means that the new length is 101% of the original length. Let the original length be L, and the new length be L'. Therefore,
L' = 1.01L
Effect on time period
The time period of a simple pendulum is given by the formula:
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.
Substituting L' for L, we get:
T' = 2π√(L'/g)
= 2π√((1.01L)/g)
= 2π(1.005)√(L/g)
Therefore, the new time period is 1.005 times the original time period.
Calculating the percentage increase
To find the percentage increase in the time period, we can use the formula:
% increase = (new value - old value)/old value × 100%
Substituting the values, we get:
% increase = (T' - T)/T × 100%
= (1.005T - T)/T × 100%
= 0.5%
Therefore, the time period of the pendulum increases by 0.5% when the length is increased by 1%. The correct answer is option C.
Effect of increasing the length of a simple pendulum by 1%
When the length of a simple pendulum is increased by 1%, it means that the new length is 101% of the original length. Let the original length be L, and the new length be L'. Therefore,
L' = 1.01L
Effect on time period
The time period of a simple pendulum is given by the formula:
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.
Substituting L' for L, we get:
T' = 2π√(L'/g)
= 2π√((1.01L)/g)
= 2π(1.005)√(L/g)
Therefore, the new time period is 1.005 times the original time period.
Calculating the percentage increase
To find the percentage increase in the time period, we can use the formula:
% increase = (new value - old value)/old value × 100%
Substituting the values, we get:
% increase = (T' - T)/T × 100%
= (1.005T - T)/T × 100%
= 0.5%
Therefore, the time period of the pendulum increases by 0.5% when the length is increased by 1%. The correct answer is option C.
Free Test
FREE
| Start Free Test |
Community Answer
The length of a simple pendulum is increased by 1%. Its time period wi...
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer?
Question Description
The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer?.
The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer?.
Solutions for The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The length of a simple pendulum is increased by 1%. Its time period willa)Increase by 2%b)Increase by 1%c)Increase by 0.5%d)Decrease by 0.5%Correct 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 to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup