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JEE Advanced2006PhysicsOscillationsActual

Function x=A ^2 t+B ^2 t+C t t represents SHM.

Options

  1. AFor any value of A, B and C (except C=0 )
  2. BIf A=-B, C=2 B , amplitude =|B 2 |
  3. CIf A=B ; C=0
  4. DIf A=B ; C=2 B , amplitude =|B|

Correct answer

B. If A=-B, C=2 B , amplitude =|B 2 |

Step-by-step solution

For A=-B and C=2 B X=B 2 t+B 2 t= 2 B (2 t+ 4 ) This is equation of SHM of amplitude 2 B If A=B and C=2 B , then X=B+B 2 t This is also equation of SHM about the point X=B . Function oscillates between X=0 and X=2 B with amplitude B .

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