Q5 of 35 Page 9

Find the dimensions of Planck’s constant h from the equation

E = hv where E is the energy and v is the frequency.


Energy of a radiation in terms of its frequency is given as


Energy(E) = Planck’s constant (h) × frequency(ν)


From the above relation


Dimensions of E = [ML2T-2]


Dimensions of ν = [T-1]


Dimensions of h = .


More from this chapter

All 35 →
3

Find the dimensions of

A. electric field E,


B. magnetic field B and


C. magnetic permeability μ0.


The relevant equations are


and


where F is force, q is charge υ is speed, I is current, and a is distance.


 4

Find the dimensions of

A. electric dipole moment p and


B. magnetic dipole moment M.


The defining equations are p = q.d and M = IA;


where d is distance, A is area, q is charge and I is current.


 6

Find the dimensions of

A. the specific heat capacity c,


B. the coefficient of linear expansion α and


C. the gas constant R.


Some of the equations involving these quantities are


and


7

Taking force, length and time to be the fundamental quantities find the dimensions of

A. density, B. pressure,


C. momentum and D. energy.