In Young's double slit experiment,the $8^{th}$ maximum with wavelength ${\lambda _1}$ is at a distance ${d_1}$ from the central maximum and the $6^{th}$ maximum with a wavelength ${\lambda _2}$ is at a distance ${d_2}.$ Then $({d_1}/{d_2})$ is equal to

• A
  $\frac{4}{3}\left( {\frac{{{\lambda _2}}}{{{\lambda _1}}}} \right)$
• B
  $\frac{4}{3}\left( {\frac{{{\lambda _1}}}{{{\lambda _2}}}} \right)$
• C
  $\frac{3}{4}\left( {\frac{{{\lambda _2}}}{{{\lambda _1}}}} \right)$
• D
  $\frac{3}{4}\left( {\frac{{{\lambda _1}}}{{{\lambda _2}}}} \right)$