Sound waves shown more diffraction as compare to light rays-

Options

A. wavelength of sound waves is more as compare to light rys
B. wavelength of light rays is more as compare to sound waves
C. wavelength of sound waves and light rays is same
D. none of these

Answer

To understand why sound waves show more diffraction compared to light rays, we can break down the explanation into a series of steps:

### Step-by-Step Solution:

1. **Understanding Diffraction**:
- Diffraction is the bending of waves around obstacles and the spreading of waves when they pass through small openings. The extent of diffraction depends on the wavelength of the wave relative to the size of the obstacle or aperture.

2. **Comparing Wavelengths**:
- The key difference between sound waves and light waves is their wavelengths. Sound waves have much longer wavelengths compared to light waves. For example, the wavelength of audible sound can range from about 1 mm to several meters, while visible light has wavelengths in the range of about 400 nm to 700 nm.

3. **Relationship Between Wavelength and Diffraction**:
- The amount of diffraction increases with an increase in wavelength. This is because longer wavelengths can more easily bend around obstacles and spread out after passing through openings.

4. **Mathematical Representation**:
- The fringe width (β) in a diffraction pattern is given by the formula:
\[ \beta = \frac{\lambda D}{d} \]
where:
- \( \lambda \) is the wavelength,
- \( D \) is the distance from the slit to the screen,
- \( d \) is the width of the slit.
- From this formula, we can see that if the wavelength \( \lambda \) increases, the fringe width \( \beta \) also increases, leading to more noticeable diffraction patterns.

5. **Conclusion**:
- Since sound waves have a greater wavelength than light waves, they exhibit more diffraction. Therefore, we conclude that sound waves show more diffraction compared to light rays.

### Final Answer:
Sound waves show more diffraction than light rays because sound waves have longer wavelengths compared to light waves.

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