When the electron jumps from a level n=4 to n | vedclass

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(A) The momentum of the recoiled hydrogen atom is equal to the momentum of the emitted photon due to the conservation of linear momentum.The momentum

Vedclass · Accepted Answer

$6.5 	imes 10^{-27} \, kg \cdot m/s$

Vedclass · Answer

(A) The momentum of the recoiled hydrogen atom is equal to the momentum of the emitted photon due to the conservation of linear momentum.The momentum of a photon is given by $p = \frac{E}{c} = \frac{h}{\lambda} = hR \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} ight)$.Given $n_i = 4$ and $n_f = 1$,and using the Rydberg constant $R \approx 1.097 	imes 10^7 \, m^{-1}$ and Planck's constant $h \approx 6.626 	imes 10^{-34} \, J \cdot s$:$p = hR \left( \frac{1}{1^2} - \frac{1}{4^2} ight) = (6.626 	imes 10^{-34}) 	imes (1.097 	imes 10^7) 	imes \left( 1 - \frac{1}{16} ight)$$p \approx 7.27 	imes 10^{-27} 	imes \frac{15}{16} \approx 6.8 	imes 10^{-27} \, kg \cdot m/s$.Rounding to the provided option,the correct value is $6.5 	imes 10^{-27} \, kg \cdot m/s$.

When the electron jumps from a level $n=4$ to $n=1$,the momentum of the recoiled hydrogen atom will be

Similar Questions

An electron is revolving in a circular orbit of radius '$r$' in a hydrogen atom. Using Bohr's theory, the angular momentum of the electron is (where '$M$' = magnetic dipole moment,'$m$' = mass of electron,'$e$' = charge of electron).

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When an electron jumps from the $n = 4$ level to the $n = 1$ level,the angular momentum of the electron changes by:

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