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Now In this particular Post of IIT JAM Physics Test Series, you will get a test of the topic Electrodynamics of Chapter Electricity and Magnetism. There are total 15 Questions given below also Answers are attached at the end of the test so that you can verify your answers after completing the test. So, Practice these Questions and Do your Best. Also Solve **IIT JAM Physics Previous Year Question Paper**. And Don’t Forget to Share with Your Friends.

**[Free] IIT JAM Physics Test Series 2023 : Electricity and Magnetism – (***Electrodynamics***)**

**Q1. One voltmeter of the range (0-200 millivolts) is connected across two rails, which are separated from each other as well as from the ground. When a train runs over these rails at a speed of 180 km/hour, then what will be the reading of the voltmeter? It is given that the vertical component of the earth’s magnetic field is 0.2 ×****10 Weber/m ^{2} and the rails are separated by a distance of 1 meter**

*(a) 2 millivolts**(b) 20 millivolts**(c) 1 millivolts**(d) 10 millivolts*

*Q2. A small loop of wire of area A 0.01 m ^{2} ,N = 40 turns and resistance R = 20Ω is initially kept in a uniform magnetic field B in such a way that the field is normal to the plane of the loop. When it is pulled out of the magnetic field, a total charge of Q = 2 × 10^{-5} C flows through the coil. The magnitude of the field B is:*

*(a) 1 × 10*^{-3}T*(b) 4 × 10*^{-3}T*(c)*zero*(d) Unobtainable as the data is insufficient*

**Q3. A conducting circular loop od wire is placed in a uniform magnetic field B 0.02 T with its plane perpendicular to the field. If the radius of the loop starts shrinking at a constant rate of 1.0 mm s ^{-1}, the induced e.m.f. on the loop at an instant when its radius is 2 cm is**

*(a) 5 μ V**(b) 5 m V**(c) 2.5 m V**(d) 2.5 μ V*

**Q4. Consider a small bar magnet under going simple harmonic motion (SHM) along the x-axis. A coil whose plane is perpendicular to the x-axis is placed Such that the magnet passes in and out of it during its motion. Which one of the following statements is correct? Neglect damping effects.**

*(a) Induced e.m.f. is minimum when the center of the bar magnet crosses the coil**(b) The frequency of the induced current in the coil is half of the frequency of the SHM**(c) Induced e.m.f. in the coil will not change with the velocity of the magnet**(d) The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into the coil*

**Q5. A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius R. The magnitude of the field varies with time according to B = B _{o} exp(-t/τ) ,where B_{o} and τ are constants. The time dependence of the induced e.m.f. in the loop is**

*(a) exp(-t*^{2}/τ^{2})*(b) 1 + exp(-t*^{2}/τ^{2})*(c) 1 – exp(-t/τ)**(d) – exp(-t/τ)*

*Q6. A circular conducting ring of radius R rotates with constant angular velocity ω about its diameter placed along the x-axis. A uniform magnetic field B is applied along they-axis. If at time t=0 the ring is entirely in the xy-plane, the emf induced in the ring at time t>0 is*

*(a) Bω*^{2}πR^{2}t*(b) Bω*^{2}πR^{2}tan(ωt)*(c) Bω*^{2}πR^{2}sin(ωt)*(d) Bω*^{2}πR^{2}cos(ωt)

**Q7. Self inductance per unit length of a long solenoid of radius R with n tums per unit length is:**

*(a) μ*_{o}πR^{2}n^{2}*(b) 2μ*_{o}πR^{2}n*(c) 2μ*_{o}πR^{2}n^{2}*(d) μ*_{o}πR^{2}n

**Q8. A metallic ring of area 1 cm ^{2} and resistance 10Ω is placed in a perpendicular time varying magnetic field which has the following form:**

**B(t) = 2e ^{-0.5t}cos(2πt)**

**Where B is in Tesla and t is in seconds. The net charge that flows past any point in the ring from t=0 to t = ∞ is **

*(a) 1 μC**(b) 3 μC**(c) 5 μC**(d) 20 μC*

**Q9. A circular conducting loop of radius 2cm and Resistance1Ω lies in xy-plane. A constant magnetic field (B) of 1T applied along z-direction. If radius of loop is reduced from 2 cm to 1 cm, the total charge (Q) passes through given point in the loop is (in coulombs)**

*(a) 0**(b) 9.4 × 10*^{-4}*(c) 9.4 × 10*^{-2}*(d) 12.6 × 10*^{-4}

**Q10. A long solenoid is embedded in a conducting medium and is insulated from the medium. If the current through the solenoid is increased at a constant rate, the induced current in the medium as a function of the radial distance r from the axis of the solenoid is proportional to**

*(a) r*^{2}inside the solenoid and^{1}/_{r}outside*(b)**r*inside the solenoid and^{2}^{1}/_{r2}*outside**(c)**r*inside the solenoid and^{2}^{1}/_{r2}*outside**(d)**r*inside the solenoid and^{2}^{1}/_{r}*outside*

**Q11. A spatially uniform time-dependent magnetic field is changing with time at the constant rate of 1 T/s. A unit positive charge is moved around a circle of radius R = 2m perpendicular to this field. The magnitude of the work done on the charge for one complete revolution is**

*(a) 0**(b) 2 J**(c) 6.28 J**(d) 12.56 J*

**Q12. Consider a solenoid of radius R with n turns per unit length, in which a time dependent currentI = I _{o} sin ωt (where ωR/c << 1) flows. The magnitude of the electric field at a perpendicular distance r<R from the axis of symmetry of the solenoid, is:**

*(a) 0**(b)*^{1}/_{2r}ωμ_{o}nI_{o}R^{2}cos ωt*(c)*^{1}/_{2}ωμ_{o}nI_{o}r sin ωt*(d)*^{1}/_{2}ωμ_{o}nI_{o}r cos ωt

**Q13. Which of the following proposed space-time dependent electric fields in vacuum is/are allowed by the equations of electromagnetic theory?**

**(I) E _{x} = E_{1} sin(kz-ωt) , E_{y} = E_{2} sin(kz-ωt) , E_{z} = 0**

(II) E_{x} = E_{1} sin(kz-ωt) , E_{y} = 2E_{2} sin(kz-ωt) , E_{z} = 0

(III) E_{x} = E_{1} sin(kz-ωt) , E_{y} = 0 , E_{z} = E_{2} sin(kz-ωt)

**(In the above E _{1} and E_{2} are real constants)**

*(a) I and II, but not III**(b) II and III, but not I**(c) I and II, but not III**(d) I only*

*Q14. At ‘equilibrium there can not be any free charge inside a metal. However, if you forcibly put charge in the interior then it takes some finite time to “disappear’ i.e, move to the surface. If the conductivity, σ , of a metal is 10 ^{6} (Ωm)^{-1} and the dielectric constant ε_{o} = 8.85 × 10^{-12} Farad/m, this time will be approximately:*

*(a) 10*^{-5}sec*(b) 10*^{-11}sec*(c) 10*^{-9}sec*(d) 10*^{-17}sec

**Q15. The skin depth of a metal is independent on the conductivity (σ) of the metal and the angular frequency ω of the incident field. For a metal of high conductivity, which of the following relations is correct ? (Assume that σ >> εω _{1} where ε is the electrical permittivity of the medium). **

*(a) d ∝ √(σ/ω)**(b)**d ∝ √(1/σω)**(c)**d ∝ √(σω)**(d) d ∝ √(ω/**σ*)

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*Answer Key* (if you find any answer wrong, feel free to Correct us)

*Answer Key*

01. | (c) | 06. | (d) | 11. | (d) |

02. | (a) | 07. | (a) | 12. | (d) |

03. | (d) | 08. | (d) | 13. | (a) |

04. | (a) | 09. | (b) | 14. | (d) |

05. | (d) | 10. | (d) | 15. | (b) |

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