Q80 / 90 · JEE Main 2021 (17 Mar Shift 2) · Physics

A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 m s-1 goes up an inclined plane which makes an angle of 30° with the horizontal plane, without slipping. How low will the sphere take to return to the starting point A?

Figure

  • A
    0.60 s
  • B
    0.52 s
  • Correct answer
    C
    0.56 s
  • D
    0.80 s

Solution

a=gsinθ1+ImR2=57×102=257

t=2v0a=2×1×725=0.56.

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

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