Two spheres of same size are made of the same metal, but one is hollow and the other one is solid. They are heated to the same temperature, then (2024)

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Two spheres of same size are made of the same metal, but one is hollow and the other one is solid. They are heated to the same temperature, then? ›

Both the spheres will expand equally.

Two spheres of the same size are made of the same material but one is hollow and the other is solid. They are heated to the same temperature, then. Both spheres will expand equally. Hollow sphere will expand more than solid one.

both spheres will expand equally.

Both have the same radius and mass, and the mass for the hollow sphere is at a larger distance than the solid sphere from the rotational axis. Hence, the moment of inertia is more for the hollow sphere.

Solution: Both the spheres will have same surface area hence both will radiate heat at same rate. But hollow sphere will cool faster because it has less mass hence rate of temperature drop will be higher for same heat loss.

Thus, we can conclude that in the case of two identical copper rods, one hollow and the other solid, the solid copper rod will expand more than the hollow one that is unequal. Q.

Both the spheres - hollow and solid will hold same amount of charge. Because both will have same capacitance which depends on radii of the sphere, not on hollow or solid. Two metallic spheres of same radii, one hollow and one solid, are charged to the same potential.

Therefore, both hollow and solid sphere will have same capacitance means they will hold the same charge.

Now, for the mass being same, the hollow sphere will have bigger volume. So, if 5 cc is the increase of volume for the solid sphere, increase of volume will be more than 5 cc for hollow sphere.

Solid sphere will expand more than the hollow one.

Are two spheres of the same radius R are made of the same material? ›

Answer. Explanation: Mass of both spheres will be the same as they have the same radius, which means they also have the same volume, and they also have the same density.

The mass of the hollow sphere is less than that of solid sphere. Therefore the rate of cooling of hollowsphere is faster than that of solid sphere.

The solid ball will have a less moment of inertia as compared to the hollow one. Hence, if you roll down both the balls from same height and at same gradient, solid ball will reach down faster as it has less moment of inertia, thus, accelerates fast. They will have different moments of inertia.

One of the key topological differences is that a hollow sphere is a 2 dimensional manifold while a solid sphere is a 3 dimensional manifold (with boundary). This means that a hollow sphere is “locally flat” while a solid sphere is locally 3 dimensional, (except for on the surface).

A spherical shell is a region between two concentric spheres of differing radius whereas a sphere is a round solid figure, or its surface, with every point on its surface equidistant from its centre.

Two spheres look alike, one is solid, and the other is hollow. Rotate each on the table. The sphere which rotates at a lower rate will be the hollow sphere. It is because, in a hollow sphere, the air inside seeks to get apart from the axis of revolution.

As the both spheres have same radius and charged to same potential so they will have equal charge.

A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing. by determining their moments of inertia about their coaxial axes. by rolling them simultaneously on an inclined plane.