IIT-JEE 2006 | Magnetism Question 52 | Physics

IIT-JEE 2006

MCQ (Single Correct Answer)

-0

$$ \text { Match the following Columns. } $$

Column I		Column II
(A)	Dielectric ring uniformly charged.	(P)	Time independent electrostatic field out of system.
(B)	Dielectric ring uniformly charged rotating with angular velocity $\omega$.	(Q)	Magnetic field.
(C)	Constant current in ring io	(R)	Induced electric field.
(D)	$$ i=i_o \cos \omega \mathrm{t} $$	(S)	Magnetic moment.

$$ [\mathbf{A} \rightarrow(\mathbf{P}) ; \mathbf{B} \rightarrow(\mathbf{Q}, \mathbf{S}) ; \mathbf{C} \rightarrow (\mathrm{Q}) ; \mathrm{D} \rightarrow(\mathrm{Q})]$$

$$ [\mathbf{A} \rightarrow(\mathbf{P}) ; \mathbf{B} \rightarrow( \mathbf{S}) ; \mathbf{C} \rightarrow (\mathrm{Q}) ; \mathrm{D} \rightarrow(\mathrm{Q}, \mathrm{R})]$$

$$ [\mathbf{A} \rightarrow(\mathbf{P}) ; \mathbf{B} \rightarrow( \mathbf{S}) ; \mathbf{C} \rightarrow (\mathrm{Q}, \mathrm{~S}) ; \mathrm{D} \rightarrow(\mathrm{Q}, \mathrm{R})]$$

$$ [\mathbf{A} \rightarrow(\mathbf{P}) ; \mathbf{B} \rightarrow(\mathbf{Q}, \mathbf{S}) ; \mathbf{C} \rightarrow (\mathrm{Q}, \mathrm{~S}) ; \mathrm{D} \rightarrow(\mathrm{Q}, \mathrm{R}, \mathrm{~S})] $$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-1

In a moving coil galvanometer, torque on the coil can be expressed as $$\tau=k i$$, where $$i$$ is current through the wire and $$k$$ is constant. The rectangular coil of the galvanometer having numbers of turns $$\mathrm{N}$$, area $$\mathrm{A}$$ and moment of inertia I is placed in magnetic field B. Find

(A) $$k$$ in terms of given parameters $$\mathrm{N}, \mathrm{I}, \mathrm{A}$$ and B;

(B) The torsional constant of the spring, if a current $$i_{0}$$ produces a deflection of $$\frac{\pi}{2}$$ in the coil;

(C) The maximum angle through which coil is deflected, if charge $$\mathrm{Q}$$ is passed through the coil almost instantaneously. (Ignore the damping in mechanical oscillations.)

$$\left[\right.$$ (A) $$\mathrm{NAB}$$, (B) $$\mathrm{C}=\frac{\mathrm{~N} i_{0} \mathrm{AB}}{\pi}$$ (C) $$\left.Q_{\max }=Q \sqrt{\frac{\mathrm{NAB} \pi}{I i_{0}}}\right]$$.

$$\left[\right.$$ (A) $$\mathrm{NAB}$$, (B) $$\mathrm{C}=\frac{3 \mathrm{~N} i_{0} \mathrm{AB}}{\pi}$$ (C) $$\left.Q_{\max }=Q \sqrt{\frac{\mathrm{NAB} \pi}{3 I i_{0}}}\right]$$.

$$\left[\right.$$ (A) $$\mathrm{NAB}$$, (B) $$\mathrm{C}=\frac{2 \mathrm{~N} i_{0} \mathrm{AB}}{\pi}$$ (C) $$\left.Q_{\max }=Q \sqrt{\frac{\mathrm{NAB} \pi}{2 I i_{0}}}\right]$$.

$$\left[\right.$$ (A) $$\mathrm{3NAB}$$, (B) $$\mathrm{C}=\frac{2 \mathrm{~N} i_{0} \mathrm{AB}}{\pi}$$ (C) $$\left.Q_{\max }=Q \sqrt{\frac{\mathrm{NAB} \pi}{2 I i_{0}}}\right]$$.

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