1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
Two identical conducting wires $$AOB$$ and $$COD$$ are placed at right angles to each other. The wire $$AOB$$ carries an electric current $${I_1}$$ and $$COD$$ carries a current $${I_2}$$. The magnetic field on a point lying at a distance $$d$$ from $$O$$, in a direction perpendicular to the plane of the wires $$AOB$$ and $$COD$$ , will be given by
A
$${{{\mu _0}} \over {2\pi d}}\left( {I_1^2 + I_2^2} \right)$$
B
$${{{\mu _0}} \over {2\pi }}{\left( {{{{I_1} + {I_2}} \over d}} \right)^{{1 \over 2}}}$$
C
$${{{\mu _0}} \over {2\pi d}}{\left( {I_1^2 + I_2^2} \right)^{{1 \over 2}}}$$
D
$${{{\mu _0}} \over {2\pi d}}\left( {{I_1} + {I_2}} \right)$$
2
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$I = {I_0}\sin \left( {\omega t - {\pi \over 2}} \right).$$ The power consumption in the circuit is given by
A
$$P = \sqrt 2 {E_0}{I_0}$$
B
$$P = {{{E_0}{I_0}} \over {\sqrt 2 }}$$
C
$$P=zero$$
D
$$P = {{{E_0}{I_0}} \over 2}$$
3
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega $$ and a battery of $$5V$$. $$2$$ second after the connection is made, the current flowing in ampere in the circuit is
A
$$\left( {1 - {e^{ - 1}}} \right)$$
B
$$\left( {1 - e} \right)$$
C
$$e$$
D
$${{e^{ - 1}}}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
In a Young's double slit experiment the intensity at a point where the path difference is $${\lambda \over 6}$$ ( $$\lambda $$ being the wavelength of light used ) is $$I$$. If $${I_0}$$ denotes the maximum intensity, $${I \over {{I_0}}}$$ is equal to
A
$${3 \over 4}$$
B
$${1 \over {\sqrt 2 }}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${1 \over 2}$$
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