Question

The amount of heat produced in a wire depends on:
A) Material
B) Length
C) Thickness
D) All of these

Answer 1

Hint: Heat is generated in a conducting wire or cable due to resistance caused by a current flowing through the wire or cable. So, we first look at the factor generating heat then choose the option.

Complete answer:
To solve this we going to use,
Amount of heat produce in wire \[H = {I^2}R\]
Where $H$ is heat produced.
$I$ is current flowing through wire.
$R$ is resistance of wire.
So, as we know $R = \rho \dfrac{L}{A}$
Where L is length.
A is area and area depend on thickens of the wire.
$\rho $ is the resistivity of the material. It depends upon the nature of material.
Electrical resistance of a conductor with a unit cross-sectional area and length is called resistivity.
Resistivity is a property of each material that can be used to compare the ability of different materials to conduct electric currents.
Therefore, heat produced in wire depending upon Material, length, Thickness.
Hence, the correct option is (D).

Note:
Heat is generated when current travels through an electric circuit due to collisions between electrons and wire atoms. How much heat is generated when current flows through a wire, and how does the amount of heat generated depend on the conditions and parameters? An English physicist named James Prescott Joule devised a formula that precisely describes this occurrence. This is referred to as Joule's law.