The de Broglie wavelength associated with a proton changes by $0.25\%$. If its momentum changes by $p_0$,then its initial momentum is ......

What will be the ratio of de-Broglie wavelengths of a proton and an $\alpha$-particle of the same energy?

In an optical microscope, which electromagnetic waves are used? Which type of waves are used in an electron microscope?

An electron of mass $m$ has de-Broglie wavelength $\lambda$ when accelerated through potential difference $V$. When a proton of mass $M$ is accelerated through a potential difference of $9V$,the de-Broglie wavelength associated with it will be (Assume that wavelength is determined at low voltage).

The de Broglie wavelength of a proton and $\alpha$-particle are equal. The ratio of their velocities is ...... .

The graph shows the variation of de Broglie wavelength $(\lambda)$ versus $\frac{1}{\sqrt{V}}$,where '$V$' is the accelerating potential for four particles $A, B, C, D$ carrying the same charge but having masses $m_1, m_2, m_3, m_4$. Which one represents a particle of the largest mass?