An electron of mass m and a photon have same energy E. the ratio of de-Brogile wavelengths associated with them is:

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(c being velocity of light)

An alpha particle of mass $4m$ with an initial velocity $\overrightarrow{V} = 2V_0 \hat{i}$ enters an electric field $\overrightarrow{E} = -2E_0 \hat{i}$. If $\lambda_0$ is its initial de-Broglie wavelength, what is its wavelength after a time $t$?

In Millikan’s oil drop experiment a drop of charge $Q$ and radius $r$ is kept constant between two plates of potential difference of 800 V. Then charge on other drop of radius 2 $r$ which is kept constant with a potential difference of 3200 V is

If the uncertainty in the position of proton is $6 imes {10^8}$m, then the minimum uncertainty in its speed will be

An electron and a proton are moving in the same direction with same kinetic energy. The ratio of the de- Broglie wavelength associated with these particles is

In Thomsons experiment of finding $e/m$ for electrons, beam of electron is replaced by that of muons (particles with same charge as of electrons but mass 208 times that of electrons). No deflection condition in this case is satisfied if

If the kinetic energy of electrons incident on a target in an X-ray tube is doubled, how does the cutoff wavelength of emitted X-rays change?

The kinetic energy of an electron is $5\;eV.$ Calculate the de-Broglie wavelength associated with it $\left( {h = 6.6 imes {{10}^{ - 34}}Js,\;{m_e} = 9.1 imes {{10}^{ - 31}}kg} \right)$

Cathode rays of velocity ${10^6}{\rm{\;m}}{{\rm{s}}^{ - 1}}$ describe an approximate circular path of radius 1 m in an electric field $300\;{\rm{Vc}}{{\rm{m}}^{ - 1}}.$ If velocity of cathode rays are doubled. The value of electric field so that the rays describe the same circular path, will be

A small ball is projected with initial speed u and at an angle $heta$ with horizontal from ground. The de – Broglie wave length of ball at the moment its velocity vector becomes perpendicular to initial velocity vector is

The kinetic energy of an electron with de-Broglie wavelength of 3 nm is