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Question: A mercury pallet is trapped in a horizontal tube of small cross–section area. Length of tube enclose...

A mercury pallet is trapped in a horizontal tube of small cross–section area. Length of tube enclosed by mercury pallet is 20 cm when it is accelerated with a = g/2 in the direction shown. The length of tube enclosed by pallet if it is accelerated in opposite direction with same acceleration is : (Atmospheric pressure is 7.2.5 cm of Hg)

A

22 cm

B

22.5 cm

C

21 cm

D

21.4 cm

Answer

21.4 cm

Explanation

Solution

P1 = P0 +ag\frac{a}{g}.l

= 72.5 + 2.5 = 75 cm of Hg

P2 = 72.5 – 2.5 = 70 cm of Hg

P2 x2 = P1x1 Ž x2 = 75×2070\frac{75 \times 20}{70}= 21.42 cm