1. Tardigrade
  2. Question
  3. Physics
  4. A simple wave motion represents by y=5( sin 4π t+√3 cos 4π t) . Its amplitude is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A simple wave motion represents by $ y=5(\sin 4\pi t+\sqrt{3}\cos 4\pi t) $ . Its amplitude is

Rajasthan PETRajasthan PET 2009

Solution:

$ y=5(\sin 4\pi t+\sqrt{3}\cos 4\pi t) $
$ y=5(\sin 4\pi t+5\sqrt{3}\cos 4\pi t) $
$ A=\sqrt{A_{1}^{2}+A_{2}^{2}} $
$ A=\sqrt{{{(5)}^{2}}+{{(5\sqrt{3})}^{2}}} $
$ =\sqrt{25+75}=\sqrt{100}=10 $