Q97 / 200 · NEET 2021 · Physics

A small block slides down on a smooth inclined plane, starting from rest at time t=0. Let Sn be the distance travelled by the block in the interval t=n-1 to t=n. Then, the ratio snsn+1 is:

  • A
    2n-12n
  • B
    2n+12n-1
  • Correct answer
    C
    2n-12n+1
  • D
    2n2n-1

Solution

As we know that the displacement covered by particle in nthsecond is given by,

∵Snth=u+2n-12a

but u=0

∴sn=2n-12a   …1

sn+1=2(n+1)-12a   …(2)

Now,
equation (1) divide by equation (2)

snsn+1=2n-12n+1

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

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