A U tube is partially filled with water oil which does not mix with water is next poured in to one side until water rises by 25 cm on the other side. If the relative density of oil be 0.8 the oil level will stand higher than the water level by :-

Question

A U tube is partially filled with water oil which does not mix with water is next poured in to one side until water rises by 25 cm on the other side. If the relative density of oil be 0.8 the oil level will stand higher than the water level by :- (A) 6.25 cm (B) 12.50 cm (C) 31.25 cm (D) 20 cm

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-3fricku8yvlqecar.jpg" /> h1ρ 1=h2ρ 2 h1× 0.8(2 × 25)× 1 h1=(50/0 . 8)=62.5 cm Level difference =h1-h2=62.5-50=12.5 cm

Q. A $U$ tube is partially filled with water oil which does not mix with water is next poured in to one side until water rises by $25 c m$ on the other side. If the relative density of oil be $0.8$ the oil level will stand higher than the water level by :-

$6.25 c m$

$12.50 c m$

$31.25 c m$

$20 c m$

$h_{1} ρ_{1} = h_{2} ρ_{2}$
$h_{1} \times 0.8 (2 \times 25) \times 1$
$h_{1} = \frac{50}{0.8} = 62.5 c m$
Level difference $= h_{1} - h_{2} = 62.5 - 50 = 12.5 c m$

Q. A U tube is partially filled with water oil which does not mix with water is next poured in to one side until water rises by 25cm on the other side. If the relative density of oil be 0.8 the oil level will stand higher than the water level by :-

6.25cm

12.50cm

31.25cm

20cm