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Q.

The electric potential in a region along the x-axis varies with x according to the relation V(x)=4+5x2. Then

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a

Magnitude of potential difference between the points x = 1 and x = -2 is 15 V

b

the force experienced by the above charge will be toward the + x-axis

c

a uniform electric field exists in this region along the + x-axis

d

force experienced by a 1 C charge at x = -1 m will be 10 N

answer is A.

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Detailed Solution

V(x)=4+5x2V(x=1)=9VAnd V(X=−2)=24VHence, ΔV=15VE=−(ΔV/Δx)=−10x∴      E( at x=−1m)=10NC−1So, F=qE=+10N (along positive x-axis).
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