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Magnetism
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Section:
Physics
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© examsnet.com
Question : 34 of 48
Marks:
+1
,
-0
A particle of mass M and positive charge Q, moving with a constant velocity
u
1
→
=
4
i
^
ms
−
1
,
\overset{\rightarrow}{u_1}= \hat{4i}\; \text{ms}^{-1},
u
1
→
=
4
i
^
ms
−
1
,
enters a region of uniform static magnetic field normal to the x-y plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity
u
2
→
=
2
(
3
i
^
+
j
^
)
ms
−
1
\overset{\rightarrow}{u_2}= 2(\sqrt{3}\hat{i} \; + \hat{j}) \; \text{ms}^{-1}
u
2
→
=
2
(
3
i
^
+
j
^
)
ms
−
1
.The correct statement(s) is (are):
[JEE Adv 2013 P1]
The direction of the magnetic field is -z direction.
The direction of the magnetic field is +z direction
The magnitude of the magnetic fieId
50
M
π
3
Q
\frac{50 \text{M} \pi}{3 \text{Q}}
3
Q
50
M
π
units
The magnitude of the magnetic field is
100
π
M
3
Q
\frac{100 \pi \text{M}}{3 \text{Q}}
3
Q
100
π
M
units
Validate
Solution:
So magnetic field is along -ve, z-direction.
Time taken in the magnetic field =
10
×
1
0
−
3
=
π
M
6
Q
B
10 \times 10^{-3} = \frac{\pi M}{6QB}
10
×
1
0
−
3
=
6
QB
π
M
B
=
π
M
60
×
1
0
−
3
Q
=
1000
π
M
60
Q
B= \frac{\pi M}{60 \times 10^{-3} Q} = \frac{1000 \pi M}{60 Q}
B
=
60
×
1
0
−
3
Q
π
M
=
60
Q
1000
π
M
=
50
π
M
3
Q
\frac{50 \pi M}{3 Q}
3
Q
50
π
M
© examsnet.com
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