Q97 · UPPSC Prelims 2021 · Set D · General Studies

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With reference to the electric potential, which of the following statements is/are correct?1.It is a scalar quantity.2.It is a vector quantity.Select the correct answer using the codes given below. Codes:

A Only 1
B Only 2
C Both 1 and 2
D Neither 1 nor 2

Correct answer: (a) Only 1

Explanation

  1. A

    Only 1

    (a) Official key: Only statement 1 is correct. Electric potential (and potential difference) is a scalar: it has magnitude and a sign relative to a reference, but no independent direction like a vector. Statement 2, which calls it a vector, is false. Hence only 1.

  2. B

    Only 2

    Only 2 would treat potential as a vector and deny the scalar character. Electric field and force are vectors; potential is work per unit charge, a scalar. This option inverts the physics.

  3. C

    Both 1 and 2

    Both 1 and 2 cannot stand together: a quantity cannot be both a scalar and a vector in the same sense. Statement 2 contradicts statement 1. The pair is therefore not both correct.

  4. D

    Neither 1 nor 2

    Neither 1 nor 2 would deny the scalar nature of potential, which is a standard electrostatic fact. Statement 1 is true, so ‘neither’ fails.

Summary. Official key is (a). Electric potential is a scalar quantity; the electric field derived from it is a vector. Statement 1 is therefore true and statement 2 is false. Options that keep statement 2, or that reject both, misclassify potential. Only 1 is the keyed choice.