PhysicsAdvancedHigh School (11–12)Electricity & Magnetism › Magnetic Effects of CurrentJEE AdvancedOlympiad
Created by StemPy LabA solenoid is long and in radius. It has turns, wound closely and evenly in one layer on a non-magnetic tube, and carries a current of . The turns are so close that the winding acts like a smooth sheet of current. The solenoid is not long compared with its radius, so the rule for an ideal long solenoid may not hold. Its axis runs through the centres of its two end faces. Nothing else is nearby. Take . Which of the following statements are correct?
One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.
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← In a mass spectrometer, singly charged neon ions start almost at rest and are sped up through 1.0 kV. They then pass through a slit S into a uniform magnetic field of 0.20 T, at right angles to their motion, as in the figure. Each ion goes round half a circle and strikes a photographic plate that lies along the line through S. Neon has two main isotopes, of masses 20 u and 22 u. Take 1 u = 1.66 × 10⁻²⁷ kg and e = 1.60 × 10⁻¹⁹ C. The chamber is a vacuum. Which of the following statements are correct?A long straight wire is fixed horizontally and carries a current of 40 A. A second long straight wire, parallel to it and directly above it, carries 25 A in the opposite direction, as in the figure. The upper wire has a mass of 8.0 g per metre. Smooth vertical guides at its far ends let it move up and down only, and it floats at rest at some height above the fixed wire. It is then pushed down a little and let go. Ignore the air and the thickness of the wires. Take µ₀ = 4π × 10⁻⁷ T m/A and g = 9.8 m/s². What is the period of its small up-and-down oscillations? Give the answer in ms, to the nearest whole number. →
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