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Question

Ultraviolet light of wavelength λ1 and λ2 when allowed to fall on hydrogen atoms in their ground state is found to liberate electron with kinetic energy 1.8 eV and 4.0 eV respectively. Find the value of λ1λ2.

A
78
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B
87
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C
920
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D
209
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Solution

The correct option is D 209
We know that, energy and wavelength is related as,
E=hv=hcλ{vλ=c}
Here,
Hence, E1=1.8 eV
1.8=hcλ1.... equation 01
Also, E2=4 eV
4=hcλ2...... equation 02
Dividing equation 02 and 01, we get
hcλ2÷hcλ1=41.8
λ1λ2=41.8=209

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