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AP EAMCET20225 Jul 2022Evening ShiftPhysicsDual Nature of MatterActual

A particle of mass 2 10⁻²⁷ ~kg has de-Broglie wavelength of 3.3 10⁻¹⁰ ~m . The kinetic energy of this particle is (Plank's Constant . h =6.6 10⁻³⁴ ~J - s )

Options

  1. A5 10⁻²⁰ ~J
  2. B8 10⁻²⁰ ~J
  3. C1 10⁻²¹ ~J
  4. D6 10⁻²² ~J

Correct answer

C. 1 10⁻²¹ ~J

Step-by-step solution

As = h P = h 2 ~m ( ~K . E ) K E = h ^2 2 ~m ^2 So, K.E = (6.6 10⁻³⁴ )^2 2 2 10⁻²⁷ (3.3 10⁻¹⁰ )^2 =1 10⁻²¹ ~J

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