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The dimensions of (1)/(2)epsilon(0)E^(2)...

The dimensions of `(1)/(2)epsilon_(0)E^(2)`, where `epsilon_(0)` is permittivity of free space and E is electric field, are

A

The potential at all the points on the axis will be zero

B

The electric field at all the point on the axis will be zero

C

The direction of electric field at all points on the axis will be along the axis.

D

If the ring is placed inside a ubiform extermal electric field then net torque acting on the ring would be zero.

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The correct Answer is:
A

Potential at any point is a scalequantity.
`:'` Position charge `=` negative charge i.e. the net charge is equal to zero. Hence potential is zero. Electric field is a vector quantity so it depends not only distance but also the way of distribution of charge.
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ALLEN-BASIC MATHS-Exercise-02
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  2. If E , M , J , and G , respectively , denote energy , mass , angular m...

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  3. The dimensions of (1)/(2)epsilon(0)E^(2), where epsilon(0) is permitti...

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  4. In terms of basic units of mass (M) , length (L) , time (T) and charge...

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  14. Which of the following is unitless quantity?

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  18. Which of the following is incorrect statement

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  19. A dimensionless quantity

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  20. A unitless quantity

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