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Graph shows the variation of de-Broglie wavelength versus 1 V where V is the accelerating potential for four particles, P, Q, R, S carrying same charge but of mass m₁, m₂, m₃, m₄ . Which one represents a particle of smaller mass?

Options

  1. Am₄
  2. Bm₁
  3. Cm₃
  4. Dm₂

Correct answer

A. m₄

Step-by-step solution

De-broglie wavelength, = h p Kinetic energy : aligned & K= p^2 2 m =q V & = h 2 m q V aligned Slope of straight line = h 2 m q Hence, more is slope of line, less is the mass.

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