6 public questions tagged with this topic.
For a uniform spherical shell, the gravitational forces from all parts of the shell combine such that the net force on an external point acts as if the shell’s entire mass is concentrated at its center, due to symmetry.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
Outside a spherical shell, the gravitational force acts as if all the mass is concentrated at the center. Since the mass is non-zero and the distance is finite, the force (F = GMmr2) cannot be zero.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
The gravitational force on a point mass inside a hollow spherical shell of uniform density is zero. This is because forces from all parts of the shell cancel out due to symmetry, leaving no net force.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
Inside a hollow spherical shell, the gravitational force is zero due to symmetry (as per the shell theorem). F = 0N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 0 N. This satisfies dimensional consistency and physical conditions given, so option A is scientifically correct.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
Outside shell: F = GMmr2. F = 6.67×10−11×200×542. F = 6.67×10−916≈4.17×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.2 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
Outside shell: F = GMmr2. F = 6.67×10−11×350×972. F = 2.101×10−849≈4.29×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.3 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.
