150112 Let \(M\) and \(L\) be the mass and length of thin uniform rod respectively. In \(1^{\text {st }}\) case, axis of rotation is passing through centre and perpendicular to its length. In \(2^{\text {nd }}\) case, axis of rotation is passing through one end and perpendicular to its length. The ratio of radius of gyration in first case to second case is

150113 A thin uniform rod of length ' \(L\) ' and mass ' \(M\) ' is bent at the middle point ' \(O\) ' at an angle of \(45^{0}\) as shown in the figure. The moment of inertia of the system about an axis passing through ' \(O\) ' and perpendicular to the plane of the bent rod, is

150114 A solid sphere of mass ' \(M\) ' and radius ' \(R\) ' has moment of inertia ' \(I\) ' about its diameter. It recast into a disc of thickness ' \(t\) ' whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains ' \(I\) '. Radius of the disc will be

150115 A ring and a disc have same mass and same radius. The ratio of moment of inertia of a ring about a tangent in its plane to that of the disc about its diameter is

150112 Let \(M\) and \(L\) be the mass and length of thin uniform rod respectively. In \(1^{\text {st }}\) case, axis of rotation is passing through centre and perpendicular to its length. In \(2^{\text {nd }}\) case, axis of rotation is passing through one end and perpendicular to its length. The ratio of radius of gyration in first case to second case is

150113 A thin uniform rod of length ' \(L\) ' and mass ' \(M\) ' is bent at the middle point ' \(O\) ' at an angle of \(45^{0}\) as shown in the figure. The moment of inertia of the system about an axis passing through ' \(O\) ' and perpendicular to the plane of the bent rod, is

150114 A solid sphere of mass ' \(M\) ' and radius ' \(R\) ' has moment of inertia ' \(I\) ' about its diameter. It recast into a disc of thickness ' \(t\) ' whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains ' \(I\) '. Radius of the disc will be

150115 A ring and a disc have same mass and same radius. The ratio of moment of inertia of a ring about a tangent in its plane to that of the disc about its diameter is

150112 Let \(M\) and \(L\) be the mass and length of thin uniform rod respectively. In \(1^{\text {st }}\) case, axis of rotation is passing through centre and perpendicular to its length. In \(2^{\text {nd }}\) case, axis of rotation is passing through one end and perpendicular to its length. The ratio of radius of gyration in first case to second case is

150113 A thin uniform rod of length ' \(L\) ' and mass ' \(M\) ' is bent at the middle point ' \(O\) ' at an angle of \(45^{0}\) as shown in the figure. The moment of inertia of the system about an axis passing through ' \(O\) ' and perpendicular to the plane of the bent rod, is

150114 A solid sphere of mass ' \(M\) ' and radius ' \(R\) ' has moment of inertia ' \(I\) ' about its diameter. It recast into a disc of thickness ' \(t\) ' whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains ' \(I\) '. Radius of the disc will be

150115 A ring and a disc have same mass and same radius. The ratio of moment of inertia of a ring about a tangent in its plane to that of the disc about its diameter is

150112 Let \(M\) and \(L\) be the mass and length of thin uniform rod respectively. In \(1^{\text {st }}\) case, axis of rotation is passing through centre and perpendicular to its length. In \(2^{\text {nd }}\) case, axis of rotation is passing through one end and perpendicular to its length. The ratio of radius of gyration in first case to second case is

150113 A thin uniform rod of length ' \(L\) ' and mass ' \(M\) ' is bent at the middle point ' \(O\) ' at an angle of \(45^{0}\) as shown in the figure. The moment of inertia of the system about an axis passing through ' \(O\) ' and perpendicular to the plane of the bent rod, is

150114 A solid sphere of mass ' \(M\) ' and radius ' \(R\) ' has moment of inertia ' \(I\) ' about its diameter. It recast into a disc of thickness ' \(t\) ' whose moment of inertia about an axis passing through its edge and perpendicular to its plane, remains ' \(I\) '. Radius of the disc will be

150115 A ring and a disc have same mass and same radius. The ratio of moment of inertia of a ring about a tangent in its plane to that of the disc about its diameter is