Physics

If $$C$$ is the capacity, $$V$$ is the potential difference, the energy stored in a capacitor is given by $$E=\dfrac { 1 }{ 2 } { CV }^{ 2 }$$. The dimension of time in $${ CV }^{ 2 }$$ is:


ANSWER

$$-2$$


SOLUTION
As we know energy stored inside the capacitor is $$\dfrac{1}{2}cv^2$$.
$${cv}^2$$ will have dimensions of energy only, i.e.,$$ML^2T^{-2}$$
Hence, option A is correct.
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!


Single Correct Medium Published on 18th 08, 2020
Next Question
Questions 244531
Subjects 8
Chapters 125
Enrolled Students 202
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
The diameter and height of a cylinder are measured by a meter scale to be $$12.6\pm 0.1$$ cm and $$34.2\pm 0.1$$ cm ,respectively. What will be the value of its volume in appropriate significant figures?
  • A. $$4264\pm 81{ cm }^{ 3 }$$
  • B. $$4260\pm 80{ cm }^{ 3 }$$
  • C. $$4264.4\pm 81.0{ cm }^{ 3 }$$
  • D. $$4300\pm 80{ cm }^{ 3 }$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q2 Single Correct Medium
The time of oscillation $$T$$ of a small drop of liquid depends on radius $$r$$, density $$\rho$$ and surface tension $$S$$. The relation between them is given by
  • A. $$T\propto \sqrt {\dfrac {S}{\rho r^3}}$$
  • B. $$T\propto \sqrt {\dfrac {\rho r^3}{S}}$$
  • C. $$T\propto \sqrt {\dfrac {S^2r^3}{\rho}}$$
  • D. $$T\propto \sqrt {\dfrac {\rho r^3}{2S}}$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q3 Single Correct Medium
The dimensional formula of physical quantity is $$[M^aL^bT^c]$$. Then that physical quantity is
  • A. surface tension if a = 1, b = 1, c = -2
  • B. force if a = 1, b = 1, c = 2
  • C. angular frequency if a = 0, b = 0, c = -1
  • D. spring constant if a = 1, b = -1, c = -2

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q4 Single Correct Medium
If the unit of length be doubled then the numerical value of the universal gravitation constant $$G$$ will become (with respect to present value)
  • A. $$double$$
  • B. $$half$$
  • C. $$\;8\;times$$
  • D. $$\;1/8\;times$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q5 Single Correct Medium
Which of the following unit is not a fundamental unit:
  • A. Meter
  • B. Litre
  • C. Second
  • D. Kilogram

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer