Wave Optics

Step 1: Using the double-slit diffraction formula.
The formula for the distance between adjacent maxima in a double-slit experiment is: where: - is the distance between adjacent maxima, - is the distance from the slits to the screen, - is the distance between the slits, and - is the wavelength of the light.
Step 2: Applying the given values.
Given that , , and , we can rearrange the formula to solve for :
Step 3: Conclusion.
The wavelength of the light is 600 nm, so the correct answer is (C).

Step 1: Formula for refractive index.
The refractive index is given by the formula: where: - (speed of light in vacuum), - (speed of light in the medium).
Step 2: Calculate the refractive index.
Substituting the values:
Step 3: Conclusion.
Thus, the refractive index for this medium is 1.5, so the correct answer is (B).

Step 1: Understanding the diffraction equation.
The diffraction angle and the wavelength are related through the diffraction equation, where is the spacing between the slits, is the order of diffraction, and is the wavelength. The angle depends on the wavelength of the light and the distance between the slits.
Step 2: Conclusion.
The wavelength and the diffraction angle are directly related as per the diffraction formula, making option (A) the correct answer.

Step 1: Understanding the Concept:
In Young's Double Slit Experiment (YDSE), the distance between consecutive bright fringes (fringe width ) is given by the formula .
Step 2: Calculation:
Given: , , . $ $
Step 3: Final Answer:
The calculated wavelength is 15000 \AA.

Step 1: Understanding the Concept:
A wavefront is defined as the locus of all points in a medium which oscillate in the same phase at any given instant.
Step 2: Detailed Explanation:
According to Huygens' Principle, every point on a wavefront acts as a source of secondary wavelets. Since every point on the same wavefront is reached by the primary disturbance at the same time, they all vibrate in unison. Therefore, the phase difference between any two points on the same wavefront is zero.
Step 3: Final Answer:
The phase difference is 0 rad.