NEETPhysicsUnits and Dimensions
Match List- I with List- II . List- I List- II a R H (Rydberg constant) i kg m - 1 s - 1 b h (Planck's constant) ii kg m 2 s - 1 c μ B (Magnetic field energy density) iii m - 1 d η (coefficient of viscosity) iv kg m - 1 s - 2 Choose the most appropriate answer from the options given below:
Options
- A( a ) -( iv ), ( b )-( ii ), ( c )-( i ), ( d )-( iii )
- B( a ) - ( ii ) , ( b ) - ( iii ) , ( c ) - ( iv ) , ( d ) - ( i )
- C( a ) - ( iii ) , ( b ) - ( ii ) , ( c ) - ( iv ) , ( d ) - ( i )
- D( a ) - ( iii ) , ( b ) - ( ii ) , ( c ) - ( i ) , ( d ) - ( iv )
Correct answer
C. ( a ) - ( iii ) , ( b ) - ( ii ) , ( c ) - ( iv ) , ( d ) - ( i )
Step-by-step solution
The relation between wavelength and the principal quantum number is, 1 λ = R 1 n 1 2 - 1 n 2 2 , for hydrogen-like atom, so the unit to Rydberg constant is, m - 1 . Now recall the formula of energy of a photon in terms of frequency, E = h ν , it means, h = E ν = kg m 2 s - 2 s - 1 = kg m 2 s - 1 . The coefficient of viscosity, η = F A × d v d z = kg m s - 2 m m 2 × m s - 1 = kg m - 1 s - 1 . Energy density is defined as, E V = kg m 2 s - 2 m 3 = kg m - 1 s - 2 .