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Statement-1: When cathode rays strike a ...

Statement-1: When cathode rays strike a hard metallic surface highly penetrating radiation is obtained.
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Statement-2 : The shortest wavelength limit of X-rays produced is inversely proportional to the accelerating voltage.

A

Statement -1 is True, statement -2 is True, Statement -2 is a correct explanation for Statement -1.

B

Statement -1 is True, Statement -2 is True , Statement-2 is Not a correct explanation for statement-5

C

Statement -1 is True, statement -2 is False

D

Statement -1 is False, Statement -2 is True.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we will analyze both statements and determine their validity and relationship. ### Step 1: Analyze Statement 1 Statement 1 claims: "When cathode rays strike a hard metallic surface, highly penetrating radiation is obtained." - **Explanation**: Cathode rays are streams of electrons that are emitted from a cathode in a vacuum tube. When these high-energy electrons strike a hard metallic surface, such as tungsten or molybdenum, they can produce X-rays. X-rays are known for their high penetrating power, which is why this statement is true. ### Step 2: Analyze Statement 2 Statement 2 claims: "The shortest wavelength limit of X-rays produced is inversely proportional to the accelerating voltage." - **Explanation**: The relationship between the wavelength of X-rays (λ) and the accelerating voltage (V) can be expressed by the formula: \[ \lambda = \frac{1240}{V} \text{ (in nanometers)} \] This indicates that as the accelerating voltage increases, the wavelength of the produced X-rays decreases, confirming that the shortest wavelength is indeed inversely proportional to the accelerating voltage. Therefore, this statement is also true. ### Step 3: Determine the Relationship Between the Statements Now we need to determine if Statement 2 provides a correct explanation for Statement 1. - **Explanation**: While both statements are true, the reason given in Statement 2 does not directly explain why highly penetrating radiation (X-rays) is produced when cathode rays strike a hard surface. The production of X-rays is a result of the interaction of high-energy electrons with the metal surface, not solely due to the relationship between wavelength and voltage. ### Conclusion Both statements are true, but Statement 2 does not correctly explain Statement 1. Therefore, the correct answer is that both statements are true, but Statement 2 is not a correct explanation for Statement 1. ### Final Answer - Statement 1: True - Statement 2: True - Statement 2 is not a correct explanation for Statement 1.
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