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Relation between torque and angular momentum is similar to the relation between

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detailed solution

Correct option is D

For translational motion of a body, F = dp/dt where p = Linear momentum and F = net external force . For rotational motion of body , = dL/dt where = Net external torque and L = Angular momentum.Now F = dp/dt and = dL/dt are both equation of dynamics. F and p are analogous to and L respectively .So correct option is (4).

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A disc can rotate about an axis passing through its centre and perpendicular to the plane of the disc. Initially the disc is stationary and its moment of inertia about the axis is 4 Kg-m². A torque is applied on the disc which varies with time according to the graph shown in figure. Then angular velocity of the disc at the end of 6th second is