1
AIEEE 2008
+4
-1
Relative permittivity and permeability of a material $${\varepsilon _r}$$ and $${\mu _r},$$ respectively. Which of the following values of these quantities are allowed for a diamagnetic material?
A
$${\varepsilon _r} = 0.5,\,\,{\mu _r} = 1.5$$
B
$${\varepsilon _r} = 1.5,\,\,{\mu _r} = 0.5$$
C
$${\varepsilon _r} = 0.5,\,\,{\mu _r} = 0.5$$
D
$${\varepsilon _r} = 1.5,\,\,{\mu _r} = 1.5$$
2
AIEEE 2008
+4
-1
A horizontal overhead powerline is at height of $$4m$$ from the ground and carries a current of $$100A$$ from east to west. The magnetic field directly below it on the ground is
$$\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,\,Tm\,\,{A^{ - 1}}} \right)$$
A
$$2.5 \times {10^{ - 7}}\,T$$ southward
B
$$5 \times {10^{ - 6}}\,T$$ northward
C
$$5 \times {10^{ - 6}}\,T$$ southward
D
$$2.5 \times {10^{ - 7}}\,T$$ northward
3
AIEEE 2007
+4
-1
A charged particle with charge $$q$$ enters a region of constant, uniform and mutually orthogonal fields $$\overrightarrow E$$ and $$\overrightarrow B$$ with a velocity $$\overrightarrow v$$ perpendicular to both $$\overrightarrow E$$ and $$\overrightarrow B,$$ and comes out without any change in magnitude or direction of $$\overrightarrow v$$. Then
A
$$\overrightarrow v = \overrightarrow B \times \overrightarrow E /{E^2}$$
B
$$\overrightarrow v = \overrightarrow E \times \overrightarrow B /{B^2}$$
C
$$\overrightarrow v = \overrightarrow B \times \overrightarrow E /{B^2}$$
D
$$\overrightarrow v = \overrightarrow E \times \overrightarrow B /{E^2}$$
4
AIEEE 2007
+4
-1
A current $$I$$ flows along the length of an infinitely long, straight, thin walled pipe. Then
A
the magnetic field at all points inside the pipe is the same, but not zero
B
the magnetic field is zero only on the axis of the pipe
C
the magnetic field is different at different points inside the pipe
D
the magnetic field at any point inside the pipe is zero
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