Properties of Matter 2 Question 3

3. There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90 angle at centre. Radius joining their interface makes an angle α with vertical. Ratio d1/d2 is

(2014 Main)

(a) 1+sinα1sinα

(b) 1+cosα1cosα

(c) 1+tanα1tanα

(d) 1+sinα1cosα

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Answer:

Correct Answer: 3. (c)

Solution:

  1. Equating pressure at A, we get

Rsinαd2+Rcosαd2+R(1cosα)d1 =R(1sinα)d1

(sinα+cosα)d2=d1(cosαsinα)

d1d2=1+tanα1tanα



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