Work done equals emf times charge

Steps:

• Use formula for electrical work: W = ε × Q, where ε is emf and Q is charge.
• Substitute ε = 10 V.
• Substitute Q = 2 C.
• Calculate W = 10 × 2 = 20 J.

Why D is correct:

• D matches W = εQ = 20 J, the energy transferred to the resistor.

Why the others are wrong:

• A: Incorrectly divides by 50, yielding 0.2 J.
• B: Mistakenly uses Q as current, giving 2 J.
• C: Erroneously halves the product, resulting in 5 J.

Final answer: D