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The height at which the atmosphere ceases to ex... - JAMB Physics 2001 Question

The height at which the atmosphere ceases 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
A
380mmHg
B
570mmHg
C
190mmHg
D
480mmHg
correct option: b

(p - 760)/(0 - 760) = (h - 0)/(80 - 0)

∴ (p - 760)/-760 = (20 - 0)/80

80(p-760) = -760(20-0)

∴80p - 60800 = -15200

80p = 60800 - 15200

80p = 45600

∴ p = 45600/80

p = 570mmHg

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