KVPY 2019 SB SX Exam Previous Papers

Question : 21 of 120

Marks: +1, -0

PHYSICS

In a muonic atom, a muon of mass of 200 times of that of electron and same charge is bound to the proton.
The wavelengths of its Balmer series are in the range of :

X-rays
infrared
$γ$ -rays
Microwave

Validate

Solution:

E_n={-me^4}/{8ε_0^2n^2h^2}={-Rhc}/n^2

For munoic atom

R ={ me^4}/{8ε_0^2 h^3C}

1/ λ=200R(1/2^2-1/n^2)

Wavelength

λ

for corresponding balmer series will be

1/200

times that of hydrogen atom will be in range of x-rays

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