269623 Four identical solid spheres each of mass \(M\) and radius \(R\) are fixed at four corners of a light square frame of side length \(4 R\) such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
269625 Thickness of a wooden circular plate is same as the thickness of a metal circular plate but density of metal plate is 8 times density of wooden plate. If moment of inertia of wooden plate is twice the moment of inertia of metal plate about their natural axes, then the ratio of radii of wooden plate to metal plate is
269626 A uniform circular disc of radius ' \(R\) ' lies in the \(X-Y\) plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the \(\mathrm{X}\)-axis at a distance \(x=2 R\) and perpendicular to the \(\mathrm{X}-\mathrm{Y}\) plane is equal to its moment ofinertia about an axis passing through a point on the Y-axis at a distance \(y=d\) and parallel to the \(X\)-axis in the \(X-Y\) plane. The value of ' \(d\) ' is
269623 Four identical solid spheres each of mass \(M\) and radius \(R\) are fixed at four corners of a light square frame of side length \(4 R\) such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
269625 Thickness of a wooden circular plate is same as the thickness of a metal circular plate but density of metal plate is 8 times density of wooden plate. If moment of inertia of wooden plate is twice the moment of inertia of metal plate about their natural axes, then the ratio of radii of wooden plate to metal plate is
269626 A uniform circular disc of radius ' \(R\) ' lies in the \(X-Y\) plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the \(\mathrm{X}\)-axis at a distance \(x=2 R\) and perpendicular to the \(\mathrm{X}-\mathrm{Y}\) plane is equal to its moment ofinertia about an axis passing through a point on the Y-axis at a distance \(y=d\) and parallel to the \(X\)-axis in the \(X-Y\) plane. The value of ' \(d\) ' is
269623 Four identical solid spheres each of mass \(M\) and radius \(R\) are fixed at four corners of a light square frame of side length \(4 R\) such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
269625 Thickness of a wooden circular plate is same as the thickness of a metal circular plate but density of metal plate is 8 times density of wooden plate. If moment of inertia of wooden plate is twice the moment of inertia of metal plate about their natural axes, then the ratio of radii of wooden plate to metal plate is
269626 A uniform circular disc of radius ' \(R\) ' lies in the \(X-Y\) plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the \(\mathrm{X}\)-axis at a distance \(x=2 R\) and perpendicular to the \(\mathrm{X}-\mathrm{Y}\) plane is equal to its moment ofinertia about an axis passing through a point on the Y-axis at a distance \(y=d\) and parallel to the \(X\)-axis in the \(X-Y\) plane. The value of ' \(d\) ' is
269623 Four identical solid spheres each of mass \(M\) and radius \(R\) are fixed at four corners of a light square frame of side length \(4 R\) such that centres of spheres coincide with corners of square. The moment of inertia of 4 spheres about an axis perpendicular to the plane of frame and passing through its centre is
269625 Thickness of a wooden circular plate is same as the thickness of a metal circular plate but density of metal plate is 8 times density of wooden plate. If moment of inertia of wooden plate is twice the moment of inertia of metal plate about their natural axes, then the ratio of radii of wooden plate to metal plate is
269626 A uniform circular disc of radius ' \(R\) ' lies in the \(X-Y\) plane with the centre coinciding with the origin. The moment of inertia about an axis passing through a point on the \(\mathrm{X}\)-axis at a distance \(x=2 R\) and perpendicular to the \(\mathrm{X}-\mathrm{Y}\) plane is equal to its moment ofinertia about an axis passing through a point on the Y-axis at a distance \(y=d\) and parallel to the \(X\)-axis in the \(X-Y\) plane. The value of ' \(d\) ' is