Maharashtra MSS Physics Paper I 2025 Section A

Q1. Q1: State and explain Newton's laws of motion. Show that Newton's first law of motion is simply a special case of Newton's second law of motion. Discuss the limitations of Newton's laws of motion.

() (a) State and explain Newton's laws of motion. Show that Newton's first law of motion is a special case of Newton's second law of motion. Discuss the limitations of Newton's laws of motion.

() (b) State and explain Fermat's principle. Prove the laws of reflection and refraction using Fermat's principle.

() (c) Define Poynting vector and obtain an expression for Poynting vector.

() (d) What are central and non-central forces? Give three characteristics of each and two examples of each.

() (e) Explain chromatic aberration and obtain relation between the axial chromatic aberration of a lens and the dispersive power of the material of the lens.

() (f) State and prove Kepler's laws of planetary motion.

• (a) State and explain Newton's laws of motion. Show that Newton's first law of motion is a special case of Newton's second law of motion. Discuss the limitations of Newton's laws of motion.
• (b) State and explain Fermat's principle. Prove the laws of reflection and refraction using Fermat's principle.
• (c) Define Poynting vector and obtain an expression for Poynting vector.
• (d) What are central and non-central forces? Give three characteristics of each and two examples of each.

Q2. Q2: (a) State Maxwell's four field equations. Hence, derive the electromagnetic wave equation in free space.

() (b) In free space.

() (c) Explain with necessary theory, the formation of Newton's rings in reflected light.

() (d) Prove that in reflected light, the diameter of dark rings are directly proportional to the square roots of natural numbers and that of bright rings, are directly proportional to the square roots of odd natural numbers.

• (b) In free space.
• (c) Explain with necessary theory, the formation of Newton's rings in reflected light.
• (d) Prove that in reflected light, the diameter of dark rings are directly proportional to the square roots of natural numbers and that of bright rings, are directly proportional to the square roots of odd natural numbers.

Q3. Q3: Obtain an expression for the gravitational potential due to a thin, uniform spherical shell at a point
(i) inside,
(ii) at the surface and
(iii) outside the shell.

() (a) Obtain an expression for the gravitational potential due to a thin, uniform spherical shell at a point
(i) inside,
(ii) at the surface and
(iii) outside the shell.

() (b) Obtain the conditions for achromatism of two thin lenses mounted co-axially
(i) in contact and
(ii) at a small distance.

() (c) An electromagnetic wave is incident normally on a glass surface of refractive index 1.5 with respect to air. Calculate the coefficient of reflection and coefficient of transmission for the wave.

• (a) Obtain an expression for the gravitational potential due to a thin, uniform spherical shell at a point
• (b) Obtain the conditions for achromatism of two thin lenses mounted co-axially
• (c) An electromagnetic wave is incident normally on a glass surface of refractive index 1.5 with respect to air. Calculate the coefficient of reflection and coefficient of transmission for the wave.