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JEE Main 202127 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2021 · 27 August · Evening Shift · Physics · Motion in One Dimension

Water drops are falling from a nozzle of a shower onto the floor...

Water drops are falling from a nozzle of a shower onto the floor from a height of 9.8m9 . 8m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the position of second drop from the floor when the first drop strikes the floor.Water drops are falling from a nozzle of a shower onto the floor from a height of 9 . 8m . The drops fall at a regular

Options

  1. A2.94m2 . 94m
  2. B4.18m4 . 18m
  3. C2.45m2 . 45m
  4. D7.35m7 . 35m

Correct answer

D. 7.35m7 . 35m

Step-by-step solution

Water drops are falling from a nozzle of a shower onto the floor from a height of 9 . 8m . The drops fall at a regular

For first drop.

h=12g(2n)2h = \dfrac{1}{2}g ( 2n{)}^{2}

For 2nd{2}^{\text{nd}} drop

h′=12g(n)2{h}^{'} = \dfrac{1}{2}g ( n{)}^{2}

hh′=41\dfrac{h}{{h}^{'}} = \dfrac{4}{1}

h′=h4=9.84{h}^{'} = \dfrac{h}{4} = \dfrac{9 . 8}{4}

so height of 2nd{2}^{nd} drop

H=h−h′=9.8−9.84=34×9.8=7.35mH = h - {h}^{'} = 9 . 8 - \dfrac{9 . 8}{4} = \dfrac{3}{4} \times 9 . 8 = 7 . 35m

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