JEE Exam  >  JEE Questions  >  A student uses a simple pendulum of exactly 1... Start Learning for Free
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?
  • a)
    Error ΔT in measuring T, the time period, is 0.05 seconds
  • b)
    Err or ΔT in measuring T, the time period, is 1 second
  • c)
    Percentage error in the determination of g is 5%
  • d)
    Percentage error in the determination of g is 2.5%
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
A student uses a simple pendulum of exactly 1m length to determine g, ...
As the length of the string of simple pendulum is exactly l m (given), therefore the error in length Δl = 0.
Further the possibility of error in measuring time is 1s in 40s.


View all questions of this test
Most Upvoted Answer
A student uses a simple pendulum of exactly 1m length to determine g, ...
Calculation of Errors in the Observation:
- The time period for one oscillation, T = 40 seconds / 20 oscillations = 2 seconds

Calculation of Error in Time Period Measurement:
- The least count of the stopwatch is 1 second
- Therefore, the error ΔT in measuring T = 1 second / 2 seconds = 0.5 seconds

Calculation of Percentage Error in Determination of g:
- The formula to calculate acceleration due to gravity is g = (4π^2 * L) / T^2
- Given L = 1m, T = 2 seconds
- Therefore, g = (4 * π^2 * 1) / 4 = π^2 ≈ 9.87 m/s^2
- The error in g due to error in T is Δg = 2 * g * (ΔT / T) = 2 * 9.87 * (0.5 / 2) ≈ 2.47 m/s^2
- Percentage error in the determination of g = (Δg / g) * 100% ≈ (2.47 / 9.87) * 100% ≈ 25%
Therefore, the correct statements are:
a) Error ΔT in measuring T, the time period, is 0.5 seconds
c) Percentage error in the determination of g is 25%
Explore Courses for JEE exam

Similar JEE Doubts

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer?
Question Description
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer?.
Solutions for A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,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 A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer?, a detailed solution for A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? has been provided alongside types of A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?a)Error ΔT in measuring T, the time period, is 0.05 secondsb)Err or ΔT in measuring T, the time period, is 1 secondc)Percentage error in the determination of g is 5%d)Percentage error in the determination of g is 2.5%Correct answer is option 'A,C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev