The energy of a photon of light with wavelength 5000 Å is approximately 2.5 eV. This way the energy of an X-ray photon with wavelength 1Å would be 
(1) 2.5/5000 eV             

(2) $2.5/{\left(5000\right)}^2 \mathrm{eV}$

(3) $2.5\times 5000 \mathrm{eV}$           

(4)  $2.5\times {\left(5000\right)}^2 \mathrm{eV}$

Wavelength of a 1 keV photon is $1.24\times {10}^{-9}m$. What is the frequency of 1 MeV photon?

1. $1.24\times {10}^{15} \mathrm{Hz}$      
2.  $2.4\times {10}^{20} \mathrm{Hz}$
3. $1.24\times {10}^{18} \mathrm{Hz}$      
4. $2.4\times {10}^{23} \mathrm{Hz}$

What is the momentum of a photon having frequency $1.5\times {10}^{13} \mathrm{Hz}$?
(a) $3.3\times {10}^{-29} \mathrm{kg} \mathrm{m}/\mathrm{s}$                (b) $3.3\times {10}^{-34} \mathrm{kg} \mathrm{m}/\mathrm{s}$
(c) $6.6\times {10}^{-34} \mathrm{kg} \mathrm{m}/\mathrm{s}$                (d) $6.6\times {10}^{-30} \mathrm{kg} \mathrm{m}/\mathrm{s}$

The energy of a photon of light of wavelength 450 nm is

(1) $4.4\times {10}^{-19} \mathrm{J}$             

(2) $2.5\times {10}^{-19} \mathrm{J}$

(3) $1.25\times {10}^{-17} \mathrm{J}$            

(4) $2.5\times {10}^{-17} \mathrm{J}$

Which of the following is true for photon 
(1) $\mathrm{E}=\frac{\mathrm{hc}}{\mathrm{\lambda }}$         

(2) $\mathrm{E}=\frac{1}{2}{\mathrm{mu}}^2$

(3) $\mathrm{p}=\frac{\mathrm{E}}{2\mathrm{v}}$         

(4) $\mathrm{E}=\frac{1}{2}{\mathrm{mc}}^2$

Which of the following is incorrect statement regarding photon: 

(1) Photon exerts no pressure

(2) Photon energy is hv

(3) Photon rest mass is zero

(4) None of these

There are ${\mathrm{n}}_1$ photons of frequency ${\mathrm{\gamma }}_1$ in a beam of light. In an equally energetic beam, there are ${\mathrm{n}}_2$ photons of frequency ${\mathrm{\gamma }}_2$ . Then the correct relation is -
1. $\frac{{\mathrm{n}}_1}{{\mathrm{n}}_2}=1$                       

2.  $\frac{{\mathrm{n}}_1}{{\mathrm{n}}_2}=\frac{{\mathrm{\gamma }}_1}{{\mathrm{\gamma }}_2}$
3.  $\frac{{\mathrm{n}}_1}{{\mathrm{n}}_2}=\frac{{\mathrm{\gamma }}_2}{{\mathrm{\gamma }}_1}$                     

4.  $\frac{{\mathrm{n}}_1}{{\mathrm{n}}_2}=\frac{{\mathrm{\gamma }}_1^2}{{\mathrm{\gamma }}_2^2}$

Einstein's photoelectric equation states that \(E_k=h \nu -\phi.\)${\mathrm{}}_{}$ In this equation \(E_k\) refers to:

Kinetic energy with which the electrons are emitted from the metal surface due to photoelectric effect is 

(1) Independent of the intensity of illumination

(2) Independent of the frequency of light

(3) Inversely proportional to the intensity of illumination

(4) Directly proportional to the intensity of illumination