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The path Difference between the two waves ${y_1} = {a_1}\,\sin \,\left( {\omega t - \frac{{2\pi x}}{\lambda }} \right)$ and ${y_2} = {a_2}\,\cos \,\left( {\omega t - \frac{{2\pi x}}{\lambda } + \phi } \right)$ is

• A
  $\frac{\lambda }{{2\pi }}\,\phi $
• B
  $\frac{\lambda }{{2\pi }}\,\left( {\phi  - \frac{\pi }{2}} \right)$
• ✓
  $\frac{\lambda }{{2\pi }}\,\left( {\phi  + \frac{\pi }{2}} \right)$
• D
  $\frac{{2\pi }}{\lambda }\,\phi $