Exams › JEE Advanced › Physics

Statement-1: For a charged particle moving from point P to point Q, the net work done on it by an induced electric field is independent of the path taken from P to Q. Statement-2: The net work done by a conservative force on an object moving around a closed loop is zero. Choose the correct option.

1. Statement-1 is false, Statement-2 is true.
2. Statement-1 is true, Statement-2 is true, and Statement-2 is the correct explanation of Statement-1.
3. Statement-1 is true, Statement-2 is true, but Statement-2 is NOT the correct explanation of Statement-1.
4. Statement-1 is true, Statement-2 is false.

Correct answer: Statement-1 is false, Statement-2 is true.

Solution

The induced electric field produced by a changing magnetic flux is non-conservative; its line integral around a closed loop equals -d(phi)/dt, which is generally nonzero. Therefore the work done by it between P and Q DOES depend on the path, making Statement-1 false. Statement-2 is a true general statement about conservative forces, but it does not apply to the induced field. So Statement-1 is false and Statement-2 is true.

Related JEE Advanced Physics questions

• What is the final velocity attained by the loop?
• A long coaxial cable is made up of two cylindrical conductors with radii a and b. The inner conductor carries a constant current i, while the outer conductor acts as the return path for the current. What is the self-inductance of a segment of the cable of length l?
• Determine the inductance per unit length for a loop created by connecting the ends of two infinitely long parallel wires, each with radius r, and separated by a distance d between their centers. Ignore the magnetic flux inside the wires and the effects at the ends.
• If the electromotive force is 10 V and the rate of change of current is calculated as 2.5 A/s, what is the self-inductance of the coil, given by L = e / (dl/dt)?
• The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is
• A semicircular loop of radius r is positioned on the axis of a large current-carrying circular ring of radius R (with R >> r). The loop is placed at an axial distance of R*sqrt(3) from the center of the ring, and the plane of the semicircular loop makes an angle of 53 deg with the plane of the ring. Find the mutual inductance M between the two coils.

⚔️ Practice JEE Advanced Physics free + battle 1v1 →