1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are $$I$$ and 2$$I$$, respectively. The resultant magnetic field induction at the centre will be
A
$${{\sqrt 5 {\mu _0}I} \over {2R}}$$
B
$${{\sqrt 5 {\mu _0}I} \over R}$$
C
$${{{\mu _0}I} \over {2R}}$$
D
$${{{\mu _0}I} \over R}$$
2
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
An alternating electric field, of frequency $$v$$, is applied across the does (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by
A
$$B = {{m\upsilon } \over e}$$  and  $$K = 2m{\pi ^2}{\upsilon ^2}{R^2}$$
B
$$B = {{2\pi m\upsilon } \over e}$$  $$K = {m^2}\pi \upsilon {R^2}$$
C
$$B = {{2\pi m\upsilon } \over e}$$  $$K = 2m{\pi ^2}{v^2}{R^2}$$
D
$$B = {{m\upsilon } \over e}$$  $$K = {m^2}\pi \upsilon {R^2}$$
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
A compass needle which is allowed to move in a horizontal plane is taken to a geomagnetic pole. It
A
will become rigif showing no movement
B
will stay in any position
C
will stay in north-south direction only
D
will stay in east-west direction only
4
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
A coil of resistance 400 $$\Omega $$ is placed in a magnetic field. If the magnetic flux $$\phi $$ (Wb) linked with the coil varies with time t (sec) as $$\phi = 50{t^2} + 4$$.

The current in the coil at t = 2 sec is
A
0.5 A
B
0.1 A
C
2 A
D
1 A
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