In the Compton Scattering experiment the X-ray wavelength change Δλ is _. Here h is Planck constant, m rest mass of electron and θ is angle after scattering.
Correct answer: C. Δλ = h/m0c (1 - cosθ)
- A. Δλ = h/m0c (1 + cosθ)
- B. Δλ = h/m0c (1 + cos2θ)
- C. Δλ = h/m0c (1 - cosθ)
- D. Δλ = h/m0c2 (1 + cosθ)
Explanation
The correct answer is Option C: Δλ = h/m0c (1 - cosθ). This formula represents the Compton scattering equation, where Δλ is the change in wavelength of the X-ray, h is Planck's constant, m is the rest mass of the electron, c is the speed of light, and θ is the scattering angle.Option A is incorrect because it incorrectly adds the cosine term instead of subtracting it. Option B is incorrect because it squares the cosine term, which is not part of the Compton formula. Option D is incorrect as it erroneously includes \( c^2 \) in the denominator, which does not belong in the equation.
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Classical physics cannot explain blackbody radiation and related observations, leading to Planck’s quantum theory, in which energy is emitted or absorbed in discrete packets. Photons provide the particle model of light, with energy and momentum linked to frequency and wavelength, including the photoelectric effect and its threshold frequency.
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