Which is the correct relation between de-Broglie wavelength of an electron in the n text th Bohr orbit and radius of the orbit R ?

Question

Which is the correct relation between de-Broglie wavelength of an electron in the n text th Bohr orbit and radius of the orbit R ? (A) λ=n 2 π R (B) λ=(2 π R/n) (C) λ=(4 π R/n) (D) λ=(2 π R/n h)

Tardigrade Admin · Accepted Answer

λ=(h/m v) in 2 π rn=(n h/m vn)

Q. Which is the correct relation between de-Broglie wavelength of an electron in the $n^{th}$ Bohr orbit and radius of the orbit $R ?$

$λ = n 2 π R$

$λ = \frac{2 π R}{n}$

$λ = \frac{4 π R}{n}$

$λ = \frac{2 π R}{nh}$

$λ = \frac{h}{m v}$ in $2 π r_{n} = \frac{nh}{m v _{n}}$

Q. Which is the correct relation between de-Broglie wavelength of an electron in the nth Bohr orbit and radius of the orbit R?

λ=n2πR

λ=n2πR​

λ=n4πR​

λ=nh2πR​