Correct answer: (a) Only 1
Explanation
- 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.
- 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.
- 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.
- 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.