What is the momentum of a photon in an X-ray beam of 10^-10 meter wavelength?

Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?

1.		2.
3.		4.

What is the de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m?

1. $\frac{h}{\sqrt{mkT}}$

2. $\frac{h}{\sqrt{3mkT}}$

3. $\frac{2h}{\sqrt{3mkT}}$ $$

4. $\frac{2h}{\sqrt{mkT}}$

The de-Broglie wavelength of an electron is the same as that of a photon of wavelength λ. If the mass of an electron is m, then its kinetic energy will be:

1.  $\frac{h^{2}m}{2{\lambda }^2}$

2.  $\frac{2h{m}^2}{{\lambda }^2}$

3.  $\frac{h^2{\lambda }^2}{2m}$

4.  $\frac{h^2}{2m{\lambda }^2}$

The de-Broglie wavelength of a particle accelerated by a 150 volt potential difference is 10^-10 m. What will its wavelength be if it is accelerated by a 600 volt potential difference?

1. 0.25 $\stackrel{o}{A}$

2. 0.5 $\stackrel{o}{A}$

3. 1.5 $\stackrel{o}{A}$

4. 2 $\stackrel{o}{A}$

A particle which has zero rest mass and non-zero energy and momentum must travel with a speed:

What is the de-Broglie wavelength associated with an electron accelerated through a voltage of 900 V?

1.  $0.31$ $\stackrel{\mathrm{o}}{\mathrm{A}}$ $$ $$

2.  $0.41$ $\stackrel{\mathrm{o}}{\mathrm{A}}$ $$

3.  $0.5$ $\stackrel{\mathrm{o}}{\mathrm{A}}$ $$ $$

4.  $0.16$ $\stackrel{0}{\mathrm{A}}$

The de-Broglie wavelength of a particle moving with a velocity $2.25\times {10}^8$ m/s is equal to the wavelength of the photon. What is the ratio of the kinetic energy of the particle to the energy of the photon? (velocity of light is $3\times {10}^8$ m/s)

What will be the percentage change in the de-Broglie wavelength of the particle if the kinetic energy of the particle is increased to 16 times its previous value?
1. 25
2. 75
3. 60
4. 50