The frequency of matter waves is expressed as

Options

A. hf
B. `E//h`
C. `1//T`
D. None of these

Answer

To determine the frequency of matter waves, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Matter Waves**: Matter waves, as described by de Broglie, are associated with particles and have properties similar to electromagnetic waves.

2. **Relate Energy to Frequency**: For photons, the energy \( E \) is related to frequency \( f \) by the equation:
\[ E = h \cdot f \]
where \( h \) is Planck's constant.

3. **Rearranging the Equation**: To find the frequency \( f \), we can rearrange the equation:
\[ f = \frac{E}{h} \]

4. **Applying to Matter Waves**: The same relationship holds for matter waves. Therefore, the frequency of matter waves can also be expressed as:
\[ f = \frac{E}{h} \]

5. **Conclusion**: Thus, the frequency of matter waves is given by the equation:
\[ f = \frac{E}{h} \]

6. **Identify the Correct Option**: From the options provided, the correct expression for the frequency of matter waves corresponds to the equation derived above.

### Final Answer:
The frequency of matter waves is expressed as \( f = \frac{E}{h} \).

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