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A 12.5 Ev Electron Beam is Used to Bombard Gaseous Hydrogen at Room Temperature. What Series of Wavelengths Will Be Emitted? - CBSE (Science) Class 12 - Physics

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Question

In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 1011 m with orbital speed 3 × 104 m/s. (Mass of earth = 6.0 × 1024 kg.)

Solution

Radius of the orbit of the Earth around the Sun, r = 1.5 × 1011 m

Orbital speed of the Earth, ν = 3 × 104 m/s

Mass of the Earth, m = 6.0 × 1024 kg

According to Bohr’s model, angular momentum is quantized and given as:

`mvr = "nh"/(2pi)`

Where,

h = Planck’s constant = 6.62 × 10−34 Js

n = Quantum number

`:. n = (mvr 2pi)/h`

`= (2pi xx 6 xx 10^24xx 3 xx 10^4 xx1.5 xx 10^(11))/(6.62 xx 10^(-34))`

`= 25.61 xx 10^(73) = 2.6 xx 10^74`

Hence, the quanta number that characterizes the Earth’ revolution is 2.6 × 1074

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Solution A 12.5 Ev Electron Beam is Used to Bombard Gaseous Hydrogen at Room Temperature. What Series of Wavelengths Will Be Emitted? Concept: Bohr'S Model for Hydrogen Atom.
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