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Assertion : 'Light year' and 'Wavelength...

Assertion : 'Light year' and 'Wavelength' both measure distance.
Reason : Both have dimensions of time.

A

If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

B

If both , Assertion and Reason are true but Reason is not a correct explanation of the Assertion.

C

If Assertion is true but the Reason is false.

D

If both, Assertion and Reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given assertion and reason, we can break down the problem into a series of logical steps. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "Light year" and "Wavelength" both measure distance. - A light year is defined as the distance that light travels in a vacuum in one year. This is indeed a measure of distance. 2. **Understanding Wavelength**: - Wavelength (often denoted by the Greek letter lambda, λ) is the distance between successive crests (or troughs) of a wave. - Wavelength is also a measure of distance, typically measured in meters, nanometers, etc. 3. **Conclusion on the Assertion**: - Both "Light year" and "Wavelength" are indeed measures of distance. Therefore, the assertion is **true**. 4. **Understanding the Reason**: - The reason states that "Both have dimensions of time." - However, this is incorrect. - Light year is a measure of distance and has dimensions of length. Wavelength also has dimensions of length. 5. **Conclusion on the Reason**: - Since the reason provided is incorrect, we conclude that the reason is **false**. 6. **Final Evaluation**: - The assertion is true, but the reason is false. Thus, the final answer is that the assertion is true, but the reason is false. ### Final Answer: C. Assertion is true but reason is false. ---

To analyze the given assertion and reason, we can break down the problem into a series of logical steps. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "Light year" and "Wavelength" both measure distance. - A light year is defined as the distance that light travels in a vacuum in one year. This is indeed a measure of distance. ...
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