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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2020 · Physics · Mechanical Properties of Fluids

A barometer is constructed using a liquid (density = 760kg m ^ - 3...

A barometer is constructed using a liquid (density =760kgm−3= 760kg{m}^{- 3}) What would be the height of the liquid column, when a mercury barometer reads 76cm?76cm ?

(density of mercury =13600kgm−3= 13600kg{m}^{- 3})

Options

  1. A1.36m1 . 36m
  2. B13.6m13 . 6m
  3. C136m136m
  4. D0.76m0 . 76m

Correct answer

B. 13.6m13 . 6m

Step-by-step solution

Recall the formula of liquid pressure due to column in terms of density of the liquid, the height of the liquid column, and the& acceleration due to gravity,& P=hρgP = hρg

⇒76cm×ρHg×g=h×ρL×g⇒ 76cm \times {ρ}_{Hg} \times g = h \times {ρ}_{L} \times g

⇒h=76cm×ρHgρL=76cm×13600760=13.6m⇒ h = 76cm \times \dfrac{ρHg}{ρL}= 76cm \times \dfrac{13600}{760}= 13 . 6m.

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