Correct option is A
The correct answer is (a) 6.25 × 10¹⁸ electrons
Explanation:
• The charge of a single electron is a fundamental physical constant, approximately equal to 1.6 × 10⁻¹⁹ coulomb (C).
• To determine the number of electrons (n) required to make 1 coulomb (Q) of charge, we use the quantization formula: Q = n × e.
• By rearranging the formula to solve for n, we get: n = Q / e.
• Substituting the values: n = 1 / (1.6 × 10⁻¹⁹).
• This calculation results in 0.625 × 10¹⁹, which is scientifically expressed as 6.25 × 10¹⁸ electrons.
Information Booster:
• The coulomb is the SI unit of electric charge, defined as the quantity of electricity transported in one second by a current of one ampere.
• Because the charge of a single electron is extremely small, it takes a very large number of electrons (over 6 quintillion) to form just one coulomb of charge.
Additional Knowledge:
• 3.25 × 10¹⁸ electrons (Option b):
This value is incorrect and does not match the reciprocal of the elementary charge.
• 2.25 × 10¹⁸ electrons (Option c):
This is mathematically incorrect and does not satisfy the Q = n × e relationship.
• 4.25 × 10¹⁸ electrons (Option d):
This is a distractor value commonly included in multiple-choice questions to test calculation accuracy.