The energies E₁ and E₂ of two radiations are 25 eV and 50 eV,
respectively. The relation between their wavelengths i.e., ????₁
and ????₂ will be :
(a) ????₁ = ????₂ (b) ????₁ = 2????₂
(c) ????₁ = 4????₂ (d) ????₁ = 1/2 ????₂
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The relation between their wavelengths is λ1 = 2λ2
option (B) is correct.
Explanation:
The relationship between energy and wavelength is given by:
E1 = hc / λ1
E2 = hc / λ2
E1 / E2 = λ2 / λ1
25 / 50 = λ2 / λ1
λ1 = 2λ2
Hence the relation between their wavelengths is λ1 = 2λ2
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Calculate the wavelength of a particle of mass m = 6.62 × 10⁻²⁷ kg moving with kinetic energy 7.425 × 10⁻¹³ J (h = 6.626 × 10⁻³⁴ kg m2 sec-1). ?
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