The units for Rydberg's constant are [L-1].
Wein's constant (( b )) relates to the peak wavelength of blackbody radiation and is defined as ( b = \frac{hc}{k} ), where ( h ) is Planck's constant, ( c ) is the speed of light, and ( k ) is the Boltzmann constant. The dimensional formula for Wein's constant can be derived from these constants. The dimensional formula of ( b ) is ( [M^1 L^2 T^{-3} \Theta^{-1}] ), where ( M ) represents mass, ( L ) length, ( T ) time, and ( \Theta ) temperature.
m3 kg-1 s-2.
The Planck constant (h) has the dimensional formula of ( [M^1 L^2 T^{-1}] ). This reflects its role in quantum mechanics, where it relates energy (which has the dimensions of ( [M L^2 T^{-2}] )) to frequency (with dimensions of ( [T^{-1}] )). Thus, when energy is expressed in terms of frequency using Planck's equation, the dimensional relationship is established.
The dimensional formula of current density (J) is derived from the definition of current density as current per unit area. Current (I) has a dimensional formula of ([I]), and area (A) has a dimensional formula of ([L^2]). Therefore, the dimensional formula of current density is ([J] = [I][L^{-2}] = [I][L^{-2}]).
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The dimensional formula of force constant is MLT⁻², where M represents mass, L represents length, and T represents time.
Hi, The original answer was: Planck's Constant = Energy/Frequency = [ML2T-2]/[T-1] = [ML2T-2] So, Dimensional Formula of Planck's Constant = [ML2T-2] In fact, it should read: Planck's Constant = Energy/Frequency = [ML2T-2]/[T-1] = [ML2T-1] So, Dimensional Formula of Planck's Constant = [ML2T-1] Regards, Lho
Wein's constant (( b )) relates to the peak wavelength of blackbody radiation and is defined as ( b = \frac{hc}{k} ), where ( h ) is Planck's constant, ( c ) is the speed of light, and ( k ) is the Boltzmann constant. The dimensional formula for Wein's constant can be derived from these constants. The dimensional formula of ( b ) is ( [M^1 L^2 T^{-3} \Theta^{-1}] ), where ( M ) represents mass, ( L ) length, ( T ) time, and ( \Theta ) temperature.
m3 kg-1 s-2.
The dimensional formula for the spring constant (k) is [M][T]^-2, where [M] represents mass and [T] represents time.
The inverse transformation of Planck's constant 'h' is called the reduced Planck constant, denoted as 'h-bar' or ħ, and it is equal to h divided by 2π. The dimensional formula of h is energy multiplied by time, or [ML^2T^-1].
Rydberg's Constant means en= -Rh/n2 n=123. Numbers Are always Constant.So it Means Energy of Electron is Equal To Rydberg's Constant .It means That Dimensional Formula Of Rydberg's Constant is M1L2 T-2
The Planck constant (h) has the dimensional formula of ( [M^1 L^2 T^{-1}] ). This reflects its role in quantum mechanics, where it relates energy (which has the dimensions of ( [M L^2 T^{-2}] )) to frequency (with dimensions of ( [T^{-1}] )). Thus, when energy is expressed in terms of frequency using Planck's equation, the dimensional relationship is established.
Resistance = V/I Dimensional formula for V ML2T -3A -1 Dimensional formula for I A Dimensional formula for R= ML2T -3A -1 / A = ML2T -3A -2
Resistance = V/I Dimensional formula for V ML2T -3A -1 Dimensional formula for I A Dimensional formula for R= ML2T -3A -1 / A = ML2T -3A -2
Such a melange of dimensions would involve length3 mass2/time4 .Not only has it no physical significance, but, fortunately for all of us,there is no such formula.
[Young's Modulus] = M1L-1T-2 __> this is the dimensional formula