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The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are : 2013 (1) 1 : √2 (2) 3 : 2 (3) 2 : 1 (4) √2 : 1

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From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is 'K' times 'MR2'. Then the value of 'K' is : 2021 ncert page 163 𝟏/𝟖 𝟑/𝟒 𝟕/𝟖 𝟏/𝟒

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The ratio of the radius of gyration of thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is : 2022 ncert 165 √(𝟐 ): 1 4 : 1 1 : √𝟐 2 : 1

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The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g〖𝒄𝒎〗^𝟐 . The length of the 400g rod is nearly : 2024 page 165 8.5cm 17.5 cm 20.7cm 72cm

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The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g〖𝒄𝒎〗^𝟐 . The length of the 400g rod is nearly : 2024 page 165

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The radius of gyration of a rotating metallic disc is independent of the following physical quantity Position of axis of rotation Mass of disc Radius of disc Temperature of disc

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Moment of inertia of a body depends upon Distribution of mass of the body Position of axis of rotation Temperature of the body All are above

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Raw and boiled egg are made to spin on a smooth table by applying the same torque . The egg that spin faster is Raw egg Boiled egg Both will have same spin rate Difficult to predict

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A boiled egg and a raw egg of same mass and size are made to rotate about their own axis if 𝐼_1 and 𝐼_2 are moment of inertia of boiled egg and raw egg the 𝐼_1 = 𝐼_2 𝐼_1 < 𝐼_2 𝐼_1 > 𝐼_2 𝐼_1 =〖√2𝐼〗_2

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A uniform metal rod is rotated in horizontal plane about a vertical axis passing through its end at uniform rate . The tension in the rod is Same all point Different at different point and maximum at centre of rod Different at different point and minimum at axis of rotation Different at different point and maximum at axis of rotation

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2. 𝐼_1, 𝐼_2, are moment of inertia of two solid spheres of same mass about axes passing through their centres if first is made of wood and the second is made of steel then 𝐼_1 = 𝐼_2 𝐼_1 < 𝐼_2 𝐼_1 > 𝐼_2 𝐼_1 ≤ 𝐼_2

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