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Question

Physics Question on Mathematical Methods

Which of the following fields has non-zero curl ?

A

xi^+yj^+zk^x\hat{i}+y\hat{j}+z\hat{k}

B

(y+z)i^+(x+z)j^+(x+y)k^(y+z)\hat{i}+(x+z)\hat{j}+(x+y)\hat{k}

C

y2i^+(2xy+z2)j^+2yzk^y^2\hat{i}+(2xy+z^2)\hat{j}+2yz\hat{k}

D

xyi^+2yzj^+3xzk^xy\hat{i}+2yz\hat{j}+3xz\hat{k}

Answer

xyi^+2yzj^+3xzk^xy\hat{i}+2yz\hat{j}+3xz\hat{k}

Explanation

Solution

The correct option is (D) : xyi^+2yzj^+3xzk^xy\hat{i}+2yz\hat{j}+3xz\hat{k}.