Which of the following curve is correct for the variation of `sqrt("frequencyofX-ray")` with atomic no?

Options

A.
B.
C.
D.

Answer

To solve the question regarding the variation of the square root of the frequency of X-rays with atomic number, we can follow these steps:

### Step 1: Understand the Experiment
The experiment was conducted by Moseley, who bombarded metal sheets with high-speed electrons to generate X-rays. Each metal with a different atomic number produced X-rays of varying frequencies.

**Hint:** Remember that the relationship between atomic number and X-ray frequency is central to Moseley's findings.

### Step 2: Collect Data
Moseley collected data on different metals with their respective atomic numbers and the frequencies of the X-rays produced. This data is crucial for plotting the graph.

**Hint:** Think about how data collection is essential in scientific experiments to establish relationships.

### Step 3: Analyze the Relationship
Moseley observed that as the atomic number increased, the frequency of the emitted X-rays also increased. This suggests a direct relationship between atomic number and frequency.

**Hint:** Consider how direct relationships often lead to linear graphs.

### Step 4: Plot the Graph
When plotting the square root of the frequency of X-rays against the atomic number, Moseley found that the graph formed a straight line. This indicates that the square root of the frequency is linearly related to the atomic number.

**Hint:** Visualizing the graph can help you understand the nature of the relationship between the two variables.

### Step 5: Conclusion
Based on the observed data and the plotted graph, the correct answer to the question is that the graph shows a straight line, indicating a linear relationship between the square root of the frequency of X-rays and atomic number.

**Hint:** Remember that the conclusion drawn from the graph is pivotal in understanding the periodic properties of elements.

### Final Answer
The correct curve for the variation of `sqrt(frequency of X-ray)` with atomic number is a straight line, which corresponds to option A.