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 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 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

An electron of mass m with an initial velocity \(\vec v= v_0\hat i\)$\stackrel{}{}$\( ( v_o > 0 ) \) enters in an electric field \(\vec E = -E_0 \hat i\)\((E_0 = \text{constant}>0)\) at \(t=0\). If \(\lambda_0\)${\mathrm{}}_{}$\(\lambda_0\), is its de-Broglie wavelength initially, then what will be its de-Broglie wavelength at time \(t\)?
1. \(\frac{\lambda_0}{\left(1+ \frac{eE_0}{mv_0}t\right)}\)
2. \(\lambda_0\left(1+ \frac{eE_0}{mv_0}t\right)\)
3. \(\lambda_0 t\)
4. \(\lambda_0\)

If alpha, beta and gamma rays carry the same momentum, which has the longest wavelength?

Waves are associated with matter only: