According to de broglie, as the momentum of a moving particle is tripled, the corresponding wavelength changes by what factor?

According to Louis de Broglie, as the momentum of a moving particle is tripled, the corresponding wavelength changes by 1/3. De Broglie’s wavelengths of particles that are moving are varying in accordance with their linear momentum. De Broglie’s wavelength is inversely proportional to the linear momentum (λ = h/p).

The final speed of the bullet is 480.4 m/s.

Explanation:

mass of bullet, m = 1.9 g

initial speed, u = 500 m/s

thickness, d = 0.75 inch = 0.01905 m

Force, F = 960 N

Let the final speed is v.

According to the work energy theorem,

Work = change in kinetic energy

-960 x 0.01905 = 0.5 x 0.0019 x (v^2 - 500 x 500)

-18.288 = 0.00095 (v^2 - 250000)

v = 480.4 m/s