Question

Calculate de Broglie wavelength for electrons moving with a speed of 4×105 m/s.

Write two properties of nuclear forces​

Answer 1

Given - Speed of electron - 4*10⁵ m/s

Find - de Broglie wavelength of electron moving with given speed.

Solution - De Broglie wavelength of electron is calculated by the formula - lambda = h/m*c. In the formula, h is Planck's constant, m is mass of electron and c is speed of electron.

Mass of electron = 9.1 × 10-³¹ kg

Planck's constant = 6.62607004 × 10-³⁴ m² kg/s

Keeping the values in equation-

lambda = 6.6 × 10-³⁴/(9.1*10-³¹ *4*10⁵ )

lambda = 6.6*10-³⁴/3.6*10-²⁵

lambda = 1.83*10-⁹ m.

Thus, the de Broglie wavelength of electron is - 1.83*10-⁹ m.

Two properties of nuclear forces are -

1. It binds protons and neutrons in nucleus.
2. The range of force is very less and effective in nucleus only.