Question

Ratio of $SI$ unit of torque to its CGS unit is ______.

• A. ${10}^5:1$
• B. ${10}^7:1$
• C. ${10}^6:1$
• D. ${10}^{17}:1$

Answer 1

The correct option is B ${10}^7:1$

SI unit of torque is $Nm$ and CGS unit is $dynecm$

We know that $1N={10}^{5}dyne$ and $1m=100cm$

Thus $\frac{Nm}{dynecm}=\frac{{10}^{5}dyne\times 100cm}{dynecm}={10}^7$