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The height at which the atmosphere cases to exi... - JAMB Physics 2019 Question

The height at which the atmosphere cases to exist is about 80km. If the atmospheric pressure on the ground level is 760mmHg, the pressure at a height of 20km above the ground level is
(ρm = 13.6g/cm\(^3\) ρ = 0.00013g/cm\(^3\) )

A

380mmHg

B

570mmHg

C

190mmHg

D

480mmHg

correct option: b

ρ\(_m\)h\(_m\) = ρ\(_a\)h\(_a\)
13.68(760 - p) × 10\(^{-3}\) = 13 × 10\(^{-5}\)(20 × 10\(^3\))

760 - p = 13 × 10\(^{-5}\) × 20 × 10\(^{3}\)
13.68 × 10\(^{-3}\)
= 19.00 × 10\(^{1}\)


760 - p = 190
p = 760 - 190

p = 570mmHg

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