Question

Electrons in hydrogen-like atoms make transitions from the fifth to the fourth orbit and from the fourth to the third orbit. The resulting radiations are incident normally on a metal plate and eject photoelectrons. The stopping potential for the photoelectrons ejected by the shorter wavelength is V. The work function of the metal is W. Then find the Rydberg constant (R).

Options:
a. R=V/W​
b. R=W/V​
c. R=V−W/W​
d. R=V+W/W​

Answer 1

The Rydberg constant (R) can be calculated using the formula V = (hc)/(λ - λ0), where V is the stopping potential, h is Planck's constant, c is the speed of light, λ is the wavelength of the incident radiation, and λ0 is the wavelength of the shorter wavelength radiation. Therefore, the correct option is A.

Step-by-step explanation:

The Rydberg constant (R) can be calculated by using the equation V = (hc)/(λ - λ0) where V is the stopping potential, h is Planck's constant, c is the speed of light, λ is the wavelength of the incident radiation, and λ0 is the wavelength of the shorter wavelength radiation. Since the question asks for the Rydberg constant, we can rearrange the equation to get R = (hc)/(V(λ - λ0)). Therefore, the correct option is a. R = V/W.