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Q.

A particle that carries a charge ‘-q’ is placed at rest in uniform electric field 10N/C. It experiences a force and moves. In a certain time ‘t’, it is observed to acquire a velocity 10i^10J^m/s. The given electric filed intersects a surface of area 1m2 in the x-z plane. Find the electric flux through the surface.

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a

103Nm2/C

b

53Nm2/C

c

52Nm2/C

d

102Nm2/C

answer is A.

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Detailed Solution

Force on charge F=qE 

particle moves opposite to E with V

Unit vector in the direction of V is i2j2

Unit vector in the direction of E is -i2+j2

E¯=10i2+j2and A¯=1×j¯ 

Electric flux Φ=E¯A¯=52Nm2/C 

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