Velocity of de Broglie wave is given by :

Options

A. `(c^2)/(v)`
B. `(hv)/(mc)`
C. `(mc^2)/(h)`
D. `v lamda`

Explanation

To find the velocity of de Broglie waves, we can follow these steps:

### Step 1: Understand the de Broglie wavelength formula
The de Broglie wavelength (\( \lambda \)) is given by the formula:
\[ \lambda = \frac{h}{p} \]
where \( h \) is Planck's constant and \( p \) is the momentum of the particle.

### Step 2: Relate momentum to mass and velocity
Momentum (\( p \)) can be expressed in terms of mass (\( m \)) and velocity (\( v \)):
\[ p = mv \]
Thus, we can rewrite the de Broglie wavelength formula as:
\[ \lambda = \frac{h}{mv} \]

### Step 3: Express velocity in terms of wavelength
Rearranging the above equation to solve for velocity (\( v \)):
\[ v = \frac{h}{m\lambda} \]

### Step 4: Substitute wavelength with frequency
The wavelength (\( \lambda \)) can also be expressed in terms of the speed of light (\( c \)) and frequency (\( \nu \)):
\[ \lambda = \frac{c}{\nu} \]
Substituting this into the velocity equation gives:
\[ v = \frac{h \nu}{mc} \]

### Step 5: Conclusion
Thus, the velocity of de Broglie waves can be expressed as:
\[ v = \frac{h \nu}{m} \]