The frequency of X -rays, , Gamma rays and visible light wave rays are a, b and c respectively , then

Options

A. `a lt b, b lt c`
B. `a lt b, b gt c`
C. `a gt b, b gt c`
D. ` a gt b, b lt c`

Answer

To solve the question regarding the frequencies of X-rays, Gamma rays, and visible light, we need to understand the relationship between their frequencies.

### Step-by-Step Solution:

1. **Identify the Frequencies**:
- Let the frequency of X-rays be represented as \( a \).
- Let the frequency of Gamma rays be represented as \( b \).
- Let the frequency of visible light be represented as \( c \).

2. **Understand the Order of Frequencies**:
- It is known from physics that the frequency of Gamma rays is greater than that of X-rays, which in turn is greater than that of visible light. Therefore, we can express this relationship as:
\[ b > a > c \]

3. **Rearranging the Inequalities**:
- From the relationship \( b > a > c \), we can derive:
- \( a < b \) (X-ray frequency is less than Gamma ray frequency)
- \( a > c \) (X-ray frequency is greater than visible light frequency)
- \( b > c \) (Gamma ray frequency is greater than visible light frequency)

4. **Analyze the Options**:
- We need to check the validity of the inequalities based on the given options. The correct relationships derived are:
- \( a < b \) (True)
- \( b > c \) (True)
- \( a > c \) (True)

5. **Conclusion**:
- Based on the analysis, the correct order of frequencies is:
\[ a < b \quad \text{and} \quad b > c \]
- Therefore, the correct option that represents this relationship is the one that states \( a < b \) and \( b > c \).

### Final Answer:
The correct answer is that the frequency of X-rays \( a \) is less than the frequency of Gamma rays \( b \), and the frequency of Gamma rays \( b \) is greater than the frequency of visible light \( c \).