An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $$100\,\Omega $$ resistor carrying current $$1A$$ for 5 minutes supplies heat to the gas. The change in internal energy of the gas is
A.
$$10\,kJ$$
B.
$$30\,kJ$$
C.
$$20\,kJ$$
D.
$$0\,kJ$$
Answer :
$$30\,kJ$$
Solution :
The heat supplied under these conditions is the change in internal energy
$$Q = \Delta U$$
The heat supplied $$Q = {i^2}RT$$
=1 × 1 × 100 × 5 × 60 = 30,000 $$J$$ = $$30\,kJ$$
Releted MCQ Question on Electrostatics and Magnetism >> Electric Current
Releted Question 1
The temperature coefficient of resistance of a wire is 0.00125 per $$^ \circ C$$ At $$300\,K,$$ its resistance is $$1\,ohm.$$ This resistance of the wire will be $$2\,ohm$$ at.
The electrostatic field due to a point charge depends on the distance $$r$$ as $$\frac{1}{{{r^2}}}.$$ Indicate which of the following quantities shows same dependence on $$r.$$
A.
Intensity of light from a point source.
B.
Electrostatic potential due to a point charge.
C.
Electrostatic potential at a distance r from the centre of a charged metallic sphere. Given $$r$$ < radius of the sphere.