Two planets are at distances ${\mathrm{R}}_1$ and ${\mathrm{R}}_2$ from the Sun. Their time periods are ${\mathrm{T}}_1$ and ${\mathrm{T}}_2$ then ${\left(\frac{{\mathrm{T}}_1}{{\mathrm{T}}_2}\right)}^2$ is equal to

• A

  $\frac{{\mathrm{R}}_1}{{\mathrm{R}}_2}$
• B

  ${\left(\frac{{\mathrm{R}}_1}{{\mathrm{R}}_2}\right)}^2$
• Correct answer
  C

  ${\left(\frac{{\mathrm{R}}_1}{{\mathrm{R}}_2}\right)}^3$
• D

  ${\left(\frac{{\mathrm{R}}_2}{{\mathrm{R}}_1}\right)}^3$

Hence, the correct answer is option: 'C'.