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JEE Advanced Model Paper 1 with solutions for online practice
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© examsnet.com
Question : 13
Total: 60
A particle of charge +q and mass m moving under the influence of a uniform electric field
E
^
i
and uniform magnetic field
B
^
k
follows a trajectory from P to Q as shown in figure. The velocities at P and Q are
v
^
i
and
−
2
v
^
j
. Whichof the following statement(s) is/are correct?
E =
3
4
(
m
v
2
q
a
)
Rate of work done by electric field at P =
3
4
(
m
v
3
a
)
Rate of work done by electric field at P is zero
Rate of work done by both the fields at Q is zero
Validate
Solution:
W = ΔKE
(No work is done by magnetic force)
(qE) (2a) =
1
2
m [4
v
2
-
v
2
]
Rate of work done =
→
F
.
→
v
Rate of work done at Q =
F
e
.
v
E =
3
4
(
m
v
2
q
a
)
= qv
(
3
4
m
v
2
q
a
)
=
3
4
m
v
2
a
= (qE) (2v) cos 90° = 0
© examsnet.com
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