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

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Subjective Medium Published on 18th 08, 2020
Next Question
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 197
Enroll Now For FREE

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

View Answer
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

View Answer
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

View Answer
Q4 Subjective Medium
Write the dimensional formula for Boltzmann constant?

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
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

View Answer