JEE MAIN - Physics (2022 - 28th July Morning Shift - No. 21)
Two electric dipoles of dipole moments $$1.2 \times 10^{-30} \,\mathrm{Cm}$$ and $$2.4 \times 10^{-30} \,\mathrm{Cm}$$ are placed in two different uniform electric fields of strengths $$5 \times 10^{4} \,\mathrm{NC}^{-1}$$ and $$15 \times 10^{4} \,\mathrm{NC}^{-1}$$ respectively. The ratio of maximum torque experienced by the electric dipoles will be $$\frac{1}{x}$$. The value of $$x$$ is __________.
Answer
6
Explanation
$${{{\rho _1}} \over {{\rho _2}}} = {{{\mu _1}{B_1}\sin 90} \over {{\mu _2}{B_2}\sin 90}}$$
$$ = {{1.2 \times {{10}^{ - 30}} \times 5 \times {{10}^4}} \over {2.4 \times {{10}^{ - 30}} \times 15 \times {{10}^4}}}$$
$$ = {1 \over 6}$$
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