Using the Heisenberg uncertainty principle, arrange the following particles in the order of increasing lowest energy possible.
$(I)$ An electron in $H _{2}$ molecule
$(II)$ A hydrogen atom in a $H _{2}$ molecule
$(III)$ A proton in the carbon nucleus
$(IV)$ $A H _{2}$ molecule within a nanotube
$I < III < II < IV$
$IV < II < I < III$
$II < IV < III < I$
$IV < I < II < 111$
The light of two different frequencies whose photons have energies $3.8 \,eV$ and $1.4 \,eV$ respectively, illuminate a metallic surface whose work function is $0.6 \,eV$ successively. The ratio of maximum speeds of emitted electrons for the two frequencies respectivly will be
If a source of power $4\,kW$ produces $10^{20}$ photons/second, the radiation belongs to a part of the spectrum called
A 1$\mu$ $A$ beam of protons with a cross-sectional area of $0.5$ sq. mm is moving with a velocity of $3 \times {10^4}m{s^{ - 1}}$. Then charge density of beam is
According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is