Home/Class 12/Physics/

## QuestionPhysicsClass 12

What is the de Broglie wavelength associated with
a ball of mass, $$m_b=150\;\text{kg}$$ travelling at $$v_b=30\;\text{m/s}$$ ?

$$m_b=150\;g$$
$$v_b=30\;\text{m/s}$$
$$p_b=m_bv_b=150\times 10^{-3}\times 30=4.50\frac{\mathit{kgm}} s$$
According to the de Broglie equation,
$$\lambda =\frac h{p_b}$$
Planck’s constant, $$h=6.62\times 10^{-34}Js$$
Substituting both the values for calculating de Broglie’s wavelength,
$$\lambda =\frac{\left(6.62\times 10^{-34}\right)}{4.50}$$
$$\lambda =1.47\times 10^{-34}\;\text{m}$$
It can observed from the above result that the de Broglie’s wavelength of the ball is quite beyond the experimental measurement.