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The electron in hydrogen atom is revolving with the speed of 2.2 × 106 m/s in an orbit of radius 0.53 Å. Calculate the initial frequency of light emitted by the electron using classical physics.

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Question

The electron in hydrogen atom is revolving with the speed of 2.2 × 106 m/s in an orbit of radius 0.53 Å. Calculate the initial frequency of light emitted by the electron using classical physics.

Numerical
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Solution

V = 2.2 × 106 m/s, r = 0.53 Å = 0.53 × 10−10 m

`f = 1/T`

`"Time" = "distance"/"speed" = d/V = (2pir)/V`

= `V/d = V/(2pir)`

= `(2.2 xx 10^6)/(2 xx 3.14 xx 0.53 xx 10^-10)`

= `2.2/3.32 xx 10^16`

f = 6.6 × 1015 Hz

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2023-2024 (March) Delhi Set - 3
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