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A simple pendulum is being used to determine the value of grav

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Medium

Solving time: 3 mins

A simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 c m$ and a stopwatch with $1 s$ resolution measures the time taken for $40$ oscillation to be $50 s$ . The accuracy in $g$ is:

2.40

3.40

5.40

4.40

Views: 6,639 students

Updated on: Aug 12, 2023

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A simple pendulum is being used to determine the value of gravitational acceleration

g

at a certain place. The length of the pendulum is

25.0 c m

and a stopwatch with

1 s

resolution measures the time taken for

40

oscillation to be

50 s

. The accuracy in

g

is:

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

For simple pendulum

T = 2 π \frac{l}{g}

so, \frac{Δ T}{T} = \frac{1}{2} (\frac{Δ l}{l} + \frac{Δ g}{g})

Givn

Δ T = 1

sec

T = 50 sec

Δ l = 0.1 cm

l = 25 cm

\frac{Δ g}{g} = \frac{2Δ T}{T} + \frac{Δ l}{l}

\frac{Δ g}{g} = 2 \times \frac{1}{50} + \frac{0.1}{25} = \frac{1.1}{25}

\frac{Δ g}{g} = \frac{1.1}{25}

% \frac{Δ g}{g} = \frac{1.1}{25} \times 100 = 4.4%

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Question Text	A simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 c m$ and a stopwatch with $1 s$ resolution measures the time taken for $40$ oscillation to be $50 s$ . The accuracy in $g$ is:
Updated On	Aug 12, 2023
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 10
Upvotes	1226
Avg. Video Duration	8 min

A simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 c m$ and a stopwatch with $1 s$ resolution measures the time taken for $40$ oscillation to be $50 s$ . The accuracy in $g$ is:

Text solutionVerified

Filo tutor solutions (10)

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A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length of the pendulum is 25.0cm and a stopwatch with 1s resolution measures the time taken for 40 oscillation to be 50s. The accuracy in g is:

Text solutionVerified

Filo tutor solutions (10)

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A simple pendulum is being used to determine the value of gravitational acceleration $g$ at a certain place. The length of the pendulum is $25.0 c m$ and a stopwatch with $1 s$ resolution measures the time taken for $40$ oscillation to be $50 s$ . The accuracy in $g$ is: