Question

give the dimensional analysis of plank's constant​

Answer 1

AnsWer :

Planks constant :-

$\longrightarrow\sf E = h \nu$

$\longrightarrow\sf E = h \times \dfrac{1}{T}$

$\longrightarrow\sf h = E T$

$\longrightarrow\sf [h]= [E] [T]$

•Dimensions of Energy (E) = [M¹L²T-²]

•Dimensions of Time Period (T) = [M⁰L⁰T¹]

$\longrightarrow\sf [h]= [M^{1} L^{2} T^{ - 2} ] [M^{0} L^{0}T^{1} ]$

$\longrightarrow\bold{ [h]= [M^{1} L^{2} T^{ - 1} ] }$