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A : The direction of a light is always ...

A : The direction of a light is always perpendicular to wavefront
R : A ray of light is a line perpendicular to a wavefront in the direction of propagation.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is not the correct explanation of A

C

A is true and R is false

D

Both A and R are false

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we need to evaluate each statement individually and determine their validity. ### Step 1: Understanding the First Statement (A) The first statement is: "The direction of a light is always perpendicular to wavefront." - **Explanation**: A wavefront is defined as the locus of points that are in the same phase of a wave. For light waves, the direction of propagation of the wave is perpendicular to the wavefront. This means that if we consider a wavefront as a flat surface, the light rays (which represent the direction of light) will always make a right angle with this surface. - **Conclusion**: The statement A is **True**. ### Step 2: Understanding the Second Statement (R) The second statement is: "A ray of light is a line perpendicular to a wavefront in the direction of propagation." - **Explanation**: A ray of light is indeed represented as a straight line that indicates the path along which light energy travels. By definition, this ray is perpendicular to the wavefront, which means that it points in the direction of the wave's propagation. - **Conclusion**: The statement R is also **True**. ### Step 3: Evaluating the Relationship between A and R Now that we have established that both statements A and R are true, we need to determine if R is a correct explanation of A. - **Analysis**: Since R accurately describes the relationship between the direction of light and the wavefront, we can conclude that R is indeed a correct explanation for A. ### Final Conclusion Both statements A and R are true, and R is a correct explanation of A. ### Summary - Statement A: True - Statement R: True - R is a correct explanation of A.
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