Q41 / 214 · NTA Abhyas (NEET) 2020 · Physics · Oscillations

A particle moves according to the law, =rcosπt2. The distance covered by it during the time interval between t= 0 to t=3s is

  • A
    r
  • B
    2r
  • Correct answer
    C
    3r
  • D
    4r

Solution

When t=0, x=rcos⁡π×02=r;

When t=3s, x=rcos⁡π×32=0

Here ω=π2 or 2πT=π2 or T=4s

∴ In 3 sec, the particle goes from one extreme to other extreme and then back to mean position. So the distance travelled =2r+r=3r

Hence, the correct answer is option: 'C'.

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