Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Electromagnetic Induction

NTA Abhyas 2020 · Physics · Electromagnetic Induction

There is a pair of fixed, parallel rails of negligible resistance...

There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of L=10cmL = 10cm. The rails are connected, at one of their ends to an ideal battery of EMF 0.5V0.5V, as shown in the figure. The system is placed in a vertically downward and perpendicular magnetic field of magnetic induction B=1TB = 1T. A metal rod of resistance R=10ΩR = 10Ω is placed perpendicularly on the rails. The rod and rails are frictionless. The magnitude of force, which is to be exerted on the rod in order to move it with a constant speed of 1ms–11ms^{– 1} in the direction shown, is

There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of L = 10cm .

Options

  1. A2×10–3N2 \times {10}^{– 3}N
  2. B4×10–3N4 \times {10}^{– 3}N
  3. C8×10–3N8 \times {10}^{– 3}N
  4. D5×10–3N5 \times {10}^{– 3}N

Correct answer

B. 4×10–3N4 \times {10}^{– 3}N

Step-by-step solution

εin=B⋅L⋅V=1×10×10–2×1{ε}_{in} = B ⋅ L ⋅ V = 1 \times 10 \times {10}^{– 2} \times 1

εin=0.1V{ε}_{in} = 0.1V

There is a pair of fixed, parallel rails of negligible resistance in a horizontal plane, at a distance of L = 10cm .

I=0.5−0.110=0.04I = \dfrac{0.5 - 0.1}{10} = 0.04

\left|\overset{→}{F}\right| = 1 \times 0.04 \times 1{0}^{– 2} \times 10<br/><br/><br /><br />= 0.4 \times {10}^{– 2}<br/><br/><br /><br />| \overset{→}{F} | = 4 \times 1{0}^{– 3}N
Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The… JEE Advanced 2026A 30 cm long solenoid has 10 turns per cm and area of 5 cm ^2 . The current through the… JEE Main 2026A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B… JEE Main 2026An inductor of inductance 10 mH having resistance of 100\,Ω is connected to battery of… JEE Main 2026A metal rod of length L rotates about one end at origin with a uniform angular velocity ω… JEE Main 2026A circular loop of radius 20 cm and resistance 2\ Ω is placed in a time varying magnetic… JEE Main 2026In the given circuit below inductance values of L_1 , L_2 and L_3 are same. The magnetic… JEE Main 2026A circular current loop of radius R is placed inside square loop of side length L (L >>… JEE Main 2026 Full Electromagnetic Induction list All NTA Abhyas JEE Main PYQs