The values of a and b for which the force F=\left( axy+{z}^{3} \right)\hat{i}+{x}^{2}\hat{j}+bx{z}^{2}\hat{k} is conservative are

Vector Algebra and Vector Calculus — CSIR Net PYQ (Question 5)

A Vector Algebra and Vector Calculus previous-year question (PYQ) from Mathematical Physics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 5 of 8 · 3.5 marks

The values of

a

and

b

for which the force

F = (a x y + z^{3}) \hat{i} + x^{2} \hat{j} + b x z^{2} \hat{k}

is conservative are

1 $a = 2, b = 3$
2 $a = 1, b = 3$
3 $a = 2, b = 6$
4 $a = 3, b = 2$

Correct answer: Option 1

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This Vector Algebra and Vector Calculus PYQ is part of the Mathematical Physics section of CSIR Net. Browse more Vector Algebra and Vector Calculus questions or join the PhysicsByAaryan live batch for full conceptual coverage.