ElectrostaticsHard
Question
The electric potential varies in space according to the relation V = 3x + 4y. A particle of mass 0.1 kg starts from rest from point (2, 3.2) under the influence of this field. The charge on the particle is +1 μC. Assume V and (x, y) are in S.I. units. The time taken to cross the x-axis is:-
Options
A.20 s
B.40 s
C.200 s
D.400 s
Solution
Ex = - 
= - 3Vm-1; Ey = - 
= -4ym-1
ax =
= - 3 ×10-5 ms-2
ay =
= - 4 × 10-5 ms-2
Time taken to cross the x-axis
Using s = ut +
at2
3.2 = × 4 × 10-5 × t2
t = 400 s
ux = ayt = - 4 × 10-5 × 400
= 16 × 10-3 ms-1
u =
20 × 10-3 ms-1
= - 3Vm-1; Ey = - = -4ym-1ax =
= - 3 ×10-5 ms-2ay =
= - 4 × 10-5 ms-2Time taken to cross the x-axis
Using s = ut +
at23.2 =
× 4 × 10-5 × t2t = 400 s
ux = ayt = - 4 × 10-5 × 400
= 16 × 10-3 ms-1
u =
20 × 10-3 ms-1
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