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MHT CET202611 April 2026Morning ShiftPhysicsDual Nature of MatterActual

A photon and an electron have equal energy E. The ratio of (electron) to (photon) is proportional to

Options

  1. A1 : E
  2. BE : 1
  3. C1 : E
  4. D1 : E^2

Correct answer

B. E : 1

Step-by-step solution

For a photon of energy E , the wavelength is given by _ photon = hc E . For an electron of kinetic energy E , the momentum is p = 2mE . The de Broglie wavelength of the electron is _ electron = h p = h 2mE . Taking the ratio of the wavelength of the electron to that of the photon, we get: _ electron _ photon = h 2mE hc E = h 2mE E hc = E c 2m Since h , c , and m are constants, the ratio is directly proportional to E . _ electron _ photon E Thus, the ratio is proportional to E : 1 . Answer: E : 1

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