NEET Solved Paper 2019 Question 11

Question: The displacement of a particle executing simple harmonic motion is given by $ y=A _0+A,sin\omega t+B,cos\omega t $ . Then the amplitude of its oscillation is given by: [NEET 5-5-2019]

Options:

A) $ \sqrt{A_0^{2}+{{(A+B)}^{2}}} $

B) A+B

C) $ A _0=\sqrt{A^{2}+B^{2}} $

D) $ \sqrt{A^{2}+B^{2}} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ y=A _0+Asin\omega t+Bcos\omega t $ Amplitude of $ Asin\omega t+Bcos\omega t=\sqrt{A^{2}+B^{2}} $