Question

A scalar potential $\Psi$ has the gradient defined as $\nabla\Psi=yz\hat{i}+xz\hat{j}+xy\hat{k}$. The value of the integral $\int_c\nabla\Psi.d\overrightarrow{r}$ on the curve $\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$, where curve C: x=t, y = t2, z = 3t2 (1 ≤ t ≤ 3) is:

• A. 0
• B. 1
• C. 242
• D. 726

Answer 1

Answer: (D)

726

Answer 2

The correct answer is(D): 726