The condition for a stable wave in an orbit of radius $r$ is given by the de Broglie relationship where the circumference of the orbit must be an integral multiple of the wavelength.

The de Broglie equation applies to:

According to de Broglie,matter should exhibit dual behaviour,that is both particle and wave-like properties. However,a cricket ball of mass $100 \ g$ does not move like a wave when it is thrown by a bowler at a speed of $100 \ km/h$. Calculate the wavelength of the ball and explain why it does not show wave nature.

If the kinetic energy of an electron is increased by $4$ times,what will be the change in its associated de Broglie wavelength?

$A$ proton accelerated through a potential $V$ has de-Broglie wavelength $\lambda$. Then the de-Broglie wavelength of an $\alpha$-particle,when accelerated through the same potential $V$ is :

The mass of a particle is $1 \, mg$ and its velocity is $4.5 \times 10^5 \, cm/s$. What will be the wavelength of this particle? $(h = 6.652 \times 10^{-27} \, erg \cdot s)$.