The dimensions of the quantity hv/c, where h is Plancks constant, v is the frequency and c is the velocity of light is:

Question

The dimensions of the quantity hv/c, where h is Plancks constant, v is the frequency and c is the velocity of light is: (A)  [MT-1]  (B)  [MLT-1]  (C)  [MLT-2]  (D)  [ML2T2]

Tardigrade Admin · Accepted Answer

The Dimensions of h=[ML2T-1] Dimensions of v=[T-1] Dimensions of c=[LT-1] Dimensions of (hv/c)=([ML2T-1][T-1]/[LT-1]) =[MLT-1]

Q. The dimensions of the quantity $h v / c,$ where h is Plancks constant, v is the frequency and c is the velocity of light is:

$[M T^{- 1}]$

$[M L T^{- 1}]$

$[M L T^{- 2}]$

$[M L^{2} T^{2}]$

$[M L^{- 2} T^{- 2}]$

The Dimensions of $h = [M L^{2} T^{- 1}]$ Dimensions of $v = [T^{- 1}]$ Dimensions of $c = [L T^{- 1}]$ Dimensions of $\frac{h v}{c} = \frac{[ M L ^{2} T ^{- 1} ] [ T ^{- 1} ]}{[ L T ^{- 1} ]}$ $= [M L T^{- 1}]$

Q. The dimensions of the quantity hv/c, where h is Plancks constant, v is the frequency and c is the velocity of light is:

[MT−1]

[MLT−1]

[MLT−2]

[ML2T2]

[ML−2T−2]

The Dimensions of h=[ML2T−1] Dimensions of v=[T−1] Dimensions of c=[LT−1] Dimensions of chv​=[LT−1][ML2T−1][T−1]​ =[MLT−1]