1
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity. $$\overrightarrow V = v\widehat i$$. The magnetic field is directed along the negative z axis direction. The induced emf, during the passes of these loops, out of the field region, will not remain constant for
A
The circular and the elliptical loops
B
only the ellliptical loop
C
any of the four loops
D
the rectangular, circular and elliptical loops
2
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. The induced emf in the loop when the radius is 2 cm is
A
4.8$$\pi $$$$\mu $$V
B
0.8$$\pi $$$$\mu $$V
C
1.6$$\pi $$$$\mu $$V
D
3.2$$\pi $$$$\mu $$V
3
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
Power dissipated in an LCR series circuit connected to an A.C. source of emf $$\varepsilon $$ is
A
$${{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - {1 \over {\omega }}} \right)}^2}} } \over R}$$
B
$${{{\varepsilon ^2}\sqrt {{R^2} + {{\left( {L\omega - {1 \over {C\omega }}} \right)}^2}} } \over R}$$
C
$${{{\varepsilon ^2}R} \over {\sqrt {{R^2} + {{\left( {L - {1 \over {C\omega }}} \right)}^2}} }}$$
D
$${{{\varepsilon ^2}R} \over {\left[ {{R^2} + {{\left( {L\omega - {1 \over {C\omega }}} \right)}^2}} \right]}}$$
4
AIPMT 2009
MCQ (Single Correct Answer)
+4
-1
The electric potential at a point (x, y, z) is given by V = $$-$$x2y $$-$$ xz3 + 4

The electric field at that point is
A
$$\overrightarrow E = \widehat i2xy + \widehat j\left( {{x^2} + {y^2}} \right) + \widehat k\left( {3xz - {y^2}} \right)$$
B
$$\overrightarrow E = \widehat i{z^3} + \widehat jxyz + \widehat k{z^2}$$
C
$$\overrightarrow E = \widehat i\left( {2xy - {z^3}} \right) + \widehat jx{y^2} + \widehat k3{z^2}x$$
D
$$\overrightarrow E = \widehat i\left( {2xy + {z^3}} \right) + \widehat j{x^2} + \widehat k3x{z^2}$$
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