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JEE Advanced 2018 Paper 2
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© examsnet.com
Question : 9
Total: 54
A particle, of mass
10
−
3
k
g
and charge
1.0
C
, is initially at rest.At time
t
=
0
, the particle comes under the influence of an electric field
E
(
t
)
=
E
0
s
i
n
ω
t
⌒
i
,where
E
0
=
1.0
N
/
C
and
ω
=
10
3
rad/s Consider the effect of only the electrical force on the particle. Then the maximum speed, in m/s , attained by the particle at subsequent times is _______.
Your Answer:
Validate
Solution:
n
=
10
−
3
k
g
q
=
1
C
t
=
0
E
=
E
0
s
i
n
ω
t
Force on particle will be
F
=
q
E
=
q
E
0
s
i
n
ω
t
At
V
m
a
x
a
,
F
=
0
q
E
0
s
i
n
ω
t
=
0
F
=
q
E
0
s
i
n
ω
t
d
v
d
t
=
q
E
0
m
s
i
n
ω
t
v
∫
0
d
v
=
π
/
ω
∫
0
q
E
0
m
s
i
n
ω
t
d
t
V
−
0
=
q
E
0
m
ω
[
−
c
o
s
ω
t
]
0
π
ω
V
−
0
=
q
E
0
m
ω
[
(
−
c
o
s
π
)
−
(
−
c
o
s
0
)
]
V
=
1
×
1
10
−
3
10
3
×
2
=
2
m
/
s
=
2.00
© examsnet.com
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