Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4…

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap ? (Take g=9.8 m s-2)
  1. 3 drops/2 seconds
  2. 2 drops/second
  3. 1 drop/second
  4. 1 drop/7 seconds

Solution

In 4th sec, 1st drop will travel 

⇒12×9.8×42=78.4 m

∴ 2nd drop would have travelled

⇒78.4-34.3=44.1 m

Time for 2nd drop

129.8t2=44.1

t=3 sec

∴ Each drop have time gap of 1 sec.

∴ 1 drop per second.

Asked in: JEE Main 2021 (25 Jul Shift 1)

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