1
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
$$\overrightarrow v = \overrightarrow E \times \overrightarrow B /{E^2}$$
2
AIEEE 2007
+4
-1
A charged particle moves through a magnetic field perpendicular to its direction. Then
A
Kinetic energy changes but the momentum is constant
B
the momentum changes but the kinetic energy is constant
C
both momentum and kinetic energy of the particle are not constant
D
both momentum and kinetic energy of the particle are constant
3
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
4
AIEEE 2007
+4
-1
A long straight wire of radius $$a$$ carries a steady current $$i.$$ The current is uniformly distributed across its cross section. The ratio of the magnetic field at $$a/2$$ and $$2a$$ is
A
$$1/2$$
B
$$1/4$$
C
$$4$$
D
$$1$$
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NEET