Physics

The time $t$, of a complete oscillation of a simple pendulum of length $l$ is given by $t=2\pi\sqrt{\dfrac{l}{g}}$ where $g$ is gravitational constant. Find the approximate percentage of errors in $t$ when the percentage of error $l$ is $1$%.

SOLUTION
$\because T=2\pi \sqrt{\dfrac{l}{g}}$
$\because \dfrac{\Delta T}{T}=\dfrac{1}{2} \dfrac{\Delta l}{l}$
$\because \dfrac{\Delta T}{T}\%=\dfrac{1}{2}\times 1=\dfrac{1}{2}\%$

You're just one step away

Subjective Medium Published on 18th 08, 2020
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 197

Realted Questions

Q1 Single Correct Medium
The potential energy of a particle varies with distance $x$ as $U = \dfrac{Ax^{1/2}}{x^2 + B}$, where A and B are constants. The dimensional formula for A x B is:
• A. $M^1L^{7/2}T^{-2}$
• B. $M^1L^{11/4}T^{-2}$
• C. $M^1L^{5/2}T^{-2}$
• D. $M^1L^{9/2}T^{-2}$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
The speed of sound in a gas is given by $v=\sqrt {\frac {\gamma RT}{M}}$
$R=$ universal gas constant,
$T=$ temperature
$M=$ molar mass of gas
The dimensional formula of $\gamma$ is
• A. $[M^0L^0T^0]$
• B. $[M^0LT^{-1}]$
• C. $[MLT^{-2}]$
• D. $[M^0L^0T^{-1}]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Subjective Medium
Find the areas of the following figures by counting square.

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Subjective Medium
Write the dimensional formula for Boltzmann constant?

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Subjective Medium
A solution is to be kept between ${68^ \circ }{\rm{F}}$ and ${77^ \circ }{\rm{F}}$. What is the range in temperature in degree Celsius (C) if the Celcius / Fahrenheit (F) conversion formula is given by ${\rm{F = }}\frac{9}{5}{\rm{C + 32}}$?

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020