#spherical shell

Gravitational Effects and Applications

What is the gravitational force on a 13kg mass 11m from the center of a spherical shell of mass 700kg and radius 9m? (G\

Outside shell: F = GMmr2. F = 6.67×10−11×700×13112. F = 6.0689×10−8121≈5.02×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5.0 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Energy of Satellites and Binding Energy

What is the gravitational force on a 10kg mass 8m from the center of a spherical shell of mass 450kg and radius 6m? (G\=

Outside shell: F = GMmr2. F = 6.67×10−11×450×1082. F = 3.0015×10−864≈4.69×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.7 × 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.

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Orbital Velocity and Time Period

What is the gravitational force on a 7kg mass 6m from the center of a spherical shell of mass 300kg and radius 4m? (G\=6

Outside shell: F = GMmr2. F = 6.67×10−11×300×762. F = 1.401×10−836≈3.89×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.9 × 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.

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Kepler's Laws and Planetary Motion

What is the gravitational force on a 12kg mass 10m from the center of a spherical shell of mass 600kg and radius 8m? (G\

Outside shell: F = GMmr2. F = 6.67×10−11×600×12102. F = 4.8036×10−8100 = 4.80×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.8 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Potential Energy of Mass Systems

What is the gravitational force on a 5kg mass 4m from the center of a spherical shell of mass 200kg and radius 3m? (G\=6

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.

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Potential Energy of Mass Systems

What is the gravitational force on a 8kg mass 5m from the center of a spherical shell of mass 400kg and radius 3m? (G\=6

Outside shell: F = GMmr2. F = 6.67×10−11×400×852. F = 2.135×10−825≈8.54×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8.5 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Gravitational Potential and Field

What is the gravitational force on a 9kg mass 7m from the center of a spherical shell of mass 350kg and radius 5m? (G\=6

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.

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Gravitational Potential and Field

What is the gravitational force on a 11kg mass 9m from the center of a spherical shell of mass 500kg and radius 7m? (G\=

Outside shell: F = GMmr2. F = 6.67×10−11×500×1192. F = 3.6685×10−881≈4.53×10−10N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.5 × 10⁻¹⁰ N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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Gravitational Potential and Field

What is the gravitational force on a 10kg mass outside a spherical shell of mass 500kg and radius 2m, at 3m from the cen

Outside a shell, F = GMmr2. F = 6.67×10−11×500×1032. F = 3.335×10−79≈3.71×10−8N. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.7 × 10⁻⁸ N. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: Halliday & Resnick, Fundamentals of Physics, 11th ed., Chapter 13: Gravitation.

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