Physics

The dimensions of $$\frac{1}{{{\mu _0}{ \in _0}}}$$ is (where symbols have their usual menaing)


ANSWER

$$\left[ {{L^2}{T^{ - 2}}} \right]$$


SOLUTION
Velocity of light in vacuum is $${\frac{1}{{\sqrt {\left( {{\mu _0}{ \in _0}} \right)} }}}$$
$$\left[ {L{T^{ - 1}}} \right] = \left[ {\frac{1}{{\sqrt {\left( {{\mu _0}{ \in _0}} \right)} }}} \right]$$
$$\left[ {{L^2}{T^{ - 2}}} \right] = \left[ {\frac{1}{{\left( {{\mu _0}{ \in _0}} \right)}}} \right]$$
Hence,
option $$(A)$$ is correct answer.
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 204
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
While measuring $$g$$ using simple pendulum method $$\%$$ error in measurement of $$\ell$$ is $$\pm\ 2\%$$ and in measurement time is $$\pm\ 1\%$$ then relative error in $$g$$ is: 
  • A. $$\pm 0.04$$
  • B. $$0.00$$
  • C. $$\pm 0.03$$
  • D. $$\pm 0.01$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q2 Single Correct Medium
Dimensions of specific heat are :
  • A. $$[ML^2T^{-2}K]$$
  • B. $$[ML^2T^{-2}K^{-1}]$$
  • C. $$[ML^2T^{2}K^{-1}]$$
  • D. $$[L^2T^{-2}K^{-1}]$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q3 Single Correct Medium
Dimension of relative density is - 
  • A. $$ kg m^{-3} $$
  • B. $$ ML^{-3} $$
  • C. Dimensionless
  • D. $$ M^2L^{-6} $$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q4 One Word Hard
In two systems of unit the relation between velocity acceleration and force is give and  by $$\displaystyle v_{2}=\frac{v_{1}\varepsilon ^{2}}{\tau }$$,  $$a_{2}=a_{1}\varepsilon \tau $$,  $$\displaystyle F_{2}=\frac{F_{1}}{\varepsilon \tau }$$ where $$\varepsilon $$ and $$\tau $$ are constants then find in this new system:
(a)$$\dfrac{m_{2}}{m_{1}}$$     (b)$$\dfrac{L_{2}}{L_{1}}$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q5 One Word Medium
0.0008 m= $$ 8 \times10 ^{-x}m$$. Find x. 

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer