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Statement-1 : On viewing the clear blue ...

Statement-1 : On viewing the clear blue portion of the sky through a Calcite Crystal, the intensity of transmitted light varies as the crystal is rotated.
Statement-2 : The light coming from the sky is polarized due to scattering of sun light by particles in the atmoshphere. The scattering is largest for blue light.

A

Statement-1 is true, statement-2 is false.

B

Statement-1 is true, statement-2 is true, statement-2 is the correct explanation of statement-1

C

Statement-1 is true, statement-2 is true, statement-2 is not the correct explanation of statement-1

D

Statement-1 is true, statement-2 is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements provided and determine their validity based on the principles of wave optics, particularly polarization and scattering of light. ### Step-by-Step Solution: **Step 1: Understanding Statement 1** - Statement 1 claims that when viewing the clear blue portion of the sky through a Calcite crystal, the intensity of transmitted light varies as the crystal is rotated. - **Analysis**: Calcite is a birefringent material, which means it has two different refractive indices depending on the polarization direction of light. When polarized light passes through a Calcite crystal, the intensity of the transmitted light will indeed vary as the crystal is rotated due to the change in the angle of incidence of the polarized light with respect to the optical axis of the crystal. **Step 2: Understanding Statement 2** - Statement 2 states that the light coming from the sky is polarized due to the scattering of sunlight by particles in the atmosphere, and that scattering is largest for blue light. - **Analysis**: This statement is true. The phenomenon responsible for the blue color of the sky is Rayleigh scattering, which scatters shorter wavelengths (blue light) more than longer wavelengths (red light). This scattering causes the light from the sky to become partially polarized. **Step 3: Conclusion** - Both statements are true. Statement 1 is true because the intensity of light transmitted through a Calcite crystal varies with rotation due to its birefringent properties. Statement 2 is true because the blue light from the sky is polarized due to scattering, which is more effective for shorter wavelengths like blue. - Therefore, the correct conclusion is that both statements are true, and Statement 2 provides the correct explanation for Statement 1. ### Final Answer: Both Statement 1 and Statement 2 are true, and Statement 2 is the correct explanation for Statement 1. ---

To solve the question, we need to analyze both statements provided and determine their validity based on the principles of wave optics, particularly polarization and scattering of light. ### Step-by-Step Solution: **Step 1: Understanding Statement 1** - Statement 1 claims that when viewing the clear blue portion of the sky through a Calcite crystal, the intensity of transmitted light varies as the crystal is rotated. - **Analysis**: Calcite is a birefringent material, which means it has two different refractive indices depending on the polarization direction of light. When polarized light passes through a Calcite crystal, the intensity of the transmitted light will indeed vary as the crystal is rotated due to the change in the angle of incidence of the polarized light with respect to the optical axis of the crystal. ...
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