Chapter 15: Problem 53
In which type of materials the magnetic susceptibility does not depend on temperature? (A) Diamagnetic (B) Paramagnetic (C) Ferromagnetic (D) Ferrite
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Chapter 15: Problem 53
In which type of materials the magnetic susceptibility does not depend on temperature? (A) Diamagnetic (B) Paramagnetic (C) Ferromagnetic (D) Ferrite
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Two identical conducting wires \(A O B\) and \(C O D\) are placed at right angles to each other. The wire \(A O B\) carries an electric current \(I_{1}\) and \(C O D\) carries a current \(I_{2} .\) The magnetic field on a point lying at a distance \(d\) from \(O\), in a direction perpendicular to the plane of the wires \(A O B\) and \(C O D\), will be given by [2007] (A) \(\frac{\mu_{0}}{2 \pi d}\left(I_{1}^{2}+I_{2}^{2}\right)\) (B) \(\frac{\mu_{0}}{2 \mu}\left(\frac{I_{1}+I_{2}}{d}\right)^{\frac{1}{2}}\) (C) \(\frac{\mu_{0}}{2 \pi d}\left(I_{1}^{2}+I_{2}^{2}\right)^{\frac{1}{2}}\) (D) \(\frac{\mu_{0}}{2 \pi d}\left(I_{1}+I_{2}\right)\)
Two concentric coils each of radius equal to \(2 \pi \mathrm{cm}\) are placed at right angles to each other, \(3 \mathrm{~A}\) and \(4 \mathrm{~A}\) are the currents flowing in coils, respectively. The magnetic induction in \(\mathrm{Wb} / \mathrm{m}^{2}\) at the centre of the coils will be \(\left(\mu_{0}=4 \pi \times 10^{-7} \mathrm{~Wb} / \mathrm{Am}\right)\) (A) \(12 \times 10^{-5}\) (B) \(10^{-5}\) (C) \(5 \times 10^{-5}\) (D) \(7 \times 10^{-5}\)
A proton with a speed \(u\) along the positive \(x\)-axis at \(y=0\) enters a region of uniform magnetic field \(B=-B_{0} \hat{k}\) which exists to the right of \(y\)-axis. The proton exits from the region after some time with the speed \(v\) at ordinate \(y\), then (A) \(v>u, y<0\) (B) \(v=u, y>0\) (C) \(v>u, y>0\) (D) \(v=u, y<0\)
A long solenoid has 200 turns per \(\mathrm{cm}\) and carries a current \(i\). The magnetic field at its centre is \(6.28 \times 10^{-2}\) \(\mathrm{Wb} / \mathrm{m}^{2}\) Another long solenoid has 100 turns per \(\mathrm{cm}\) and it carries a current \(\frac{i}{3} .\) The value of the magnetic field at its centre is (A) \(1.05 \times 10^{-2} \mathrm{~Wb} / \mathrm{m}^{2}\) (B) \(1.05 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}\) (C) \(1.05 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}\) (D) \(1.05 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}\)
Two particles \(X\) and \(Y\) having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii \(R_{1}\) and \(R_{2}\), respectively. The ratio of masses of \(X\) and \(Y\) is (A) \(\left(\frac{R_{1}}{R_{2}}\right)^{1 / 2}\) (B) \(\frac{R_{2}}{R_{1}}\) (C) \(\left(\frac{R_{1}}{R_{2}}\right)^{2}\) (D) \(\left(\frac{R_{1}}{R_{2}}\right)\)
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