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An observer measures speed of light to b...

An observer measures speed of light to be C, when he is stationary with respect to the source. If the observer moves with velocity V towards the source then the velocity of light observed will be

A

C - V

B

C + V

C

`sqrt(1 -V^2/C^2)`

D

C

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to understand the behavior of light speed in different reference frames according to the principles of physics, particularly Einstein's theory of relativity. ### Step-by-Step Solution: 1. **Understanding the Speed of Light**: The speed of light in a vacuum is a universal constant denoted by \( C \). This means that it does not change regardless of the motion of the observer or the source. 2. **Observer at Rest**: When the observer is stationary with respect to the source of light, they measure the speed of light to be \( C \). 3. **Observer in Motion**: If the observer starts moving towards the source of light with a velocity \( V \), we need to analyze how this affects the measurement of light speed. 4. **Relativity Principle**: According to the principles of relativity, the speed of light remains constant at \( C \) for all observers, regardless of their motion relative to the source of light. 5. **Conclusion**: Therefore, even if the observer moves towards the source with velocity \( V \), the speed of light that they measure will still be \( C \). ### Final Answer: The velocity of light observed will be \( C \). ---
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