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An air column 10cm in length is trapped into the sea end of a capillary...

Physics
JAMB 1979

An air column 10cm in length is trapped into the sea end of a capillary tube by a 15cm column of mercury with the tube held vertically as shown above. On inverting the tube the air column becomes 15cm long. The atmospheric pressure during the experiment is

  • A. 90cm
  • B. 76cm
  • C. 75cm
  • D. 60cm
  • E. 50cm
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Correct Answer: Option C
Explanation

Let X represent the atmospheric pressure

with tube upright,P1 = ( x + 15)cm, L1 = 10cm 

with tube inverted P2 = ( x - 15)cm, L2 = 15cm

using Boyle's law i.e P1V1 = P2V2

 (x + 15)10 = (x - 15)15 = 10x + 150 = 15x - 225

15x - 10x = 150 + 225

5x = 375

x = \(\frac{375}{5}\)

= 75cm


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