21 public questions tagged with this topic.
α = τI = 126 = 2rad/s2. Δω = αt = 2×3 = 6rad/s. ω = ω0+Δω = 3+6 = 9rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 9 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
L = Iω. For a sphere: I = 25MR2 = 25×5×(0.3)2 = 0.18kg m2. ω = LI = 90.18 = 50rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 50 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Symmetry ensures perpendicular components of angular momentum cancel out, leaving L = Iω aligned with the axis of rotation. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Due to cancellation of perpendicular components. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
α = τI = 217 = 3rad/s2. ω = ω0+αt = 0+3×4 = 12rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 12 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
In pure rotational motion, the axis of rotation is fixed, meaning it does not move or change direction, constraining the body to rotate about it. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It is always fixed. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
α = τI = 61.5 = 4rad/s2. Δω = αt = 4×3 = 12rad/s. ω = ω0+Δω = 4+12 = 16rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 16 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Torque: τ = Iα. τ = 8Nm, I = 1.6kg m2. α = τI = 81.6 = 5rad/s2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 rad/s². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Zero net torque (τ = 0) means no change in angular momentum (dLdt = 0), so the rotational state (angular velocity) remains constant. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Due to no change in angular momentum. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Torque causes angular acceleration, as per τ = Iα, analogous to how force causes linear acceleration in Newton’s second law. As per NCERT, applying relevant law/formula with correct units and sign convention leads to It causes angular acceleration. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
I = 25MR2 = 25×4×(0.3)2 = 0.144kg m2. ω = LI = 7.20.144 = 50rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 50 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Angular momentum: L = Iω. For a solid cylinder: I = 12MR2 = 12×10×(0.5)2 = 1.25kgm2. ω = LI = 251.25 = 20rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 20 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
τ = Iα. τ = 10Nm, I = 2kg m2. α = τI = 102 = 5rad/s2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 rad/s². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
