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JEE Main201911 Jan 2019Morning ShiftPhysicsDual Nature of MatterActual

If the deBroglie wavelength of an electron is equal to 10⁻ times the wavelength of a photon of frequency 6 10¹⁴ Hz , then the speed of electron is equal to : (Speed of light .=3 10⁸ ~m / s ) Planck's constant =6.63 10⁻³⁴ ~J . s Mass of electron .=9.1 10⁻³¹ ~kg )

Options

  1. A1.1 10⁶ ~m / s
  2. B1.7 10⁶ ~m / s
  3. C1.8 10⁶ ~m / s
  4. D1.45 10⁶ ~m / s

Correct answer

D. 1.45 10⁶ ~m / s

Step-by-step solution

de-Broglie wavelength, = h mv =10⁻³ ( 3 10⁸ 6 10¹⁴ ) [ = c v ] array l v = 6.63 10⁻³⁴ 6 10¹⁴ 9.1 10⁻³¹ 3 10⁵ v =1.45 10⁶ ~m / s array

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