Video Lecture

Theory For Making Notes

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Practice Questions (Basic Level)

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Practice Questions (JEE Main Level)

Q.1

A flat circular coil of n turns, area A and resistance R is placed in a uniform magnetic field B. The plane of coil is initially perpendicular to B. When the coil is rotated through an angle of 180o about one of its diameter, a charge Q1 flows through the coil. When the same coil, after being brought to its initial position, is rotated through an angle of 360o about the same axis a charge Q2 flows through it. Then Q2/Q1 is

(a)   1          (b)    2      (c)   1/2            (d)     0

Ans.  (d)

Q.2

A square loop of side b is rotated in a constant magnetic field B at angular frequency w as shown in the figure. What is the emf induced in it?

(a)    b2Bw sin wt                       

(b)    bBw sin2 wt

(c)    bB2w cos wt                      

(d)   b2Bw

Ans.  (a)

Q.3

If the flux of magnetic induction through a coil of resistance R and having n turns changes from f1 to f2, then the magnitude of the charge that passes through the coil is

(a) \frac{{\left( {{{\varphi }_{2}}-{{\varphi }_{1}}} \right)}}{R}

(b) \frac{{n\left( {{{\varphi }_{2}}-{{\varphi }_{1}}} \right)}}{R}   

(c) \frac{{\left( {{{\varphi }_{2}}-{{\varphi }_{1}}} \right)}}{{nR}}     

(d) \frac{{nR}}{{\left( {{{\varphi }_{2}}-{{\varphi }_{1}}} \right)}}

Ans.  (b)

Q.4

A coil of 20×20 cm having 30 turns is making 30 rps in a magnetic field of 1 tesla. The peak value of the induced e.m.f. is approximately

(a) 452 V       (b) 226 V         (c) 113 V           (d) 339 V

Ans.  (b)

Q.5

In a uniform magnetic field of induction B, a wire in the form of semicircle of radius r rotates about the diameter of the circle with angular frequency w. If the total resistance of the circuit is R, the mean power generated per period of rotation is

(a)     \frac{{B\pi {{r}^{2}}\omega }}{{2R}}                             

(b)     \frac{{{{{(B\pi {{r}^{2}}\omega )}}^{2}}}}{{2R}}       

(c)     \frac{{{{{(B\pi r\omega )}}^{2}}}}{{2R}}                       

(d)    \frac{{{{{(B\pi {{r}^{2}}\omega )}}^{2}}}}{{8R}}

Ans.  (d)

Practice Questions (JEE Advance Level)

Q.1

Figure shows a square loop of side L perpendicular to the uniform field of a solenoid. Evaluate \oint{{\vec{E}}}. d \vec{l} around the loop.

(a) 4L\frac{{dB}}{{dt}}         

(b) 2{{L}^{2}}\frac{{dB}}{{dt}}

(c) L\frac{{dB}}{{dt}}               

(d) {{L}^{2}}\frac{{dB}}{{dt}}

Ans : (d)

Q.2

Two infinitely long solenoids (shown in cross-section) pass through a circuit as shown in the figure.


100 T/s. The current in 6ohm, 5ohm and 3ohm resistors are respectively

(a) 0.06A, 0.85A, 0.91A

(b) 2.06A, 1.85A,1.91A

(c) 0.06A, 2.85A,3.91A

(d) 1.06A, 0.85A,2.91A

Ans : (a)