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NEET
Exam
NEET
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Physics
Chapter
Units and Dimensions

NEET · Physics · Units and Dimensions

In a newly proposed system of units, the acceleration due to...

In a newly proposed system of units, the acceleration due to gravity at the Earth's surface (gg) is taken as 1 unit/s21\text{ unit/s}^2. If a small heavy particle is dropped from rest from a tall building and takes exactly 4 s4\text{ s} to hit the ground, the height of the building in this new unit of length is :

Options

  1. A1616
  2. B88
  3. C8080
  4. D44

Correct answer

B. 88

Step-by-step solution

In the new system of units, the acceleration due to gravity is g=1 unit/s2g = 1\text{ unit/s}^2.

The initial velocity of the dropped particle, u=0u = 0.

Time taken to fall, t=4 st = 4\text{ s}.

Using the second equation of motion for the displacement (height of the building):

h=ut+12gt2h = ut + \dfrac{1}{2}gt^2

h=0+12(1)(4)2h = 0 + \dfrac{1}{2}(1)(4)^2

h=12×16=8 new unitsh = \dfrac{1}{2} \times 16 = 8\text{ new units}.

Answer: 88
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