Physics

If $$n$$ denotes a positive integer, $$h$$ the Plancks constant, $$q$$ the charge and $$B$$ the magnetic field, then the quantity $$\begin{pmatrix} \dfrac{nh}{2\pi qB}\end{pmatrix}$$ has the dimension of


ANSWER

Area


SOLUTION
Since $$qvB=F$$
$$\implies qB=\dfrac{F}{v}$$
which has dimensions $$[MT^{-1}]$$
$$h$$ has dimensions $$[ML^2T^{-1}]$$
Hence the dimension of $$(\dfrac{nh}{2\pi qB})$$ is $$[L^2]$$, which is that of area.
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
ly is the unit of:
  • A. time
  • B. length
  • C. mass
  • D. none of these

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q2 Single Correct Medium
The dimensional equation for magnetic flux is:
  • A. $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ -1 }$$
  • B. $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ -2 }$$
  • C. $${ ML }^{ -2 }{ T }^{ -2 }{ I }^{ -1 }$$
  • D. $${ ML }^{ 2 }{ T }^{ -2 }{ I }^{ 2 }$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q3 Single Correct Medium
The velocity $$v$$ (in $$ms^{1})$$ of a particle is given in terms of time $$t$$ (in second) by the equation $$v = at + \dfrac {b}{t + c}$$. The dimensions of $$a, b, c$$ are
  • A. $$a - L, b - T, c - LT^{2}$$
  • B. $$a - LT^{-2}, b - LT^{-1}, c - L$$
  • C. $$a - LT^{-2}, b - L, c - T$$
  • D. $$a - L^{2}, b - Lt, c - T^{-2}$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q4 Single Correct Medium
The relation between the energy $$E$$ and the frequency $$v$$ of a photon is expressed by the equation $$E=h\nu$$, where $$h$$ is Planck's constant. Write down the dimensions of $$h$$?
  • A. $$\displaystyle \left [ ML^{-2}T^{-1} \right ]$$
  • B. $$\displaystyle \left [ ML^{1}T^{-1} \right ]$$
  • C. $$\displaystyle \left [ ML^{1}T^{-2} \right ]$$
  • D. $$\displaystyle \left [ ML^{2}T^{-1} \right ]$$

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer
Q5 Subjective Medium
If force (F), velocity v and time (T) are taken as fundamental units then the dimensions of mass are

Asked in: Physics - Units and Measurement


1 Verified Answer | Published on 18th 08, 2020

View Answer