A sphere A is placed on a smooth table. Another sphere B is suspended from a string which is attached to its centre. Both are identical in all respects. equal quantity of heat is supplied to both. all kind of heat losses are neglected and the string is perfectly insulating and does not expand or contract on heating. the string's diameter is negligible. if T_a and T_b are the final temperatures of A and B, then

a)T_a b

b) T_a >T_b

c) T_a =T_b

d) none of these

Tell me the answer, with the working. most probably someone would get the answer, so i may not have to tell you the working. i will let u know if someone is right.

To determine the final temperatures of spheres A and B after equal quantities of heat are supplied, we need to consider how heat transfer occurs in each case. Sphere A is placed on a smooth table, while sphere B is suspended from a string. Both spheres are identical, and we are neglecting any heat losses. Let's analyze the situation step by step.

Understanding Heat Transfer

When heat is supplied to an object, its temperature increases based on the amount of heat added and the object's specific heat capacity. The specific heat capacity is a property that indicates how much heat is required to change the temperature of a unit mass of a substance by one degree Celsius.

Sphere A on the Table

For sphere A, which is resting on a smooth table, the heat supplied will increase its temperature. Since it is in contact with the table, there is no additional constraint affecting its ability to expand or move. The heat will be absorbed uniformly throughout the sphere, leading to a rise in temperature.

Sphere B Suspended from a String

In the case of sphere B, it is suspended and not in contact with any surface. The string is insulating and does not conduct heat. When heat is supplied to sphere B, it will also absorb the heat, but it is important to note that the string does not allow for any heat loss to the environment. However, the fact that it is suspended means that the heat will primarily cause the temperature of the sphere to rise without any additional constraints from a surface.

Comparing the Final Temperatures

Since both spheres are identical and receive the same amount of heat, we can conclude that the heat will cause both spheres to reach a certain temperature increase. However, the key difference lies in the fact that sphere B is suspended. The heat energy supplied to sphere B will not only increase its temperature but also allow it to potentially do work against the tension in the string if it were to expand or move. However, since the string is perfectly insulating and does not expand or contract, we can focus solely on the heat absorption.

Final Temperature Analysis

Given that both spheres are identical and receive the same amount of heat, and considering that sphere B is not losing heat to the environment, we can conclude that:

• The heat supplied to both spheres is equal.
• Both spheres will experience the same increase in temperature due to their identical properties.

Thus, the final temperatures of both spheres will be equal. Therefore, the correct answer is:

Final Answer

T a = T b