CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Volume of a sphere

A vertical U-...

Question

A vertical U-tube of uniform cross-section contains mercury in both sides of its arms as shown below. Gylcerine column of $10 c m$ is introduced into one of its arms. Oil of density $0.8 g / c c$ is poured into the other arm until the upper surface of the oil and glycerine are at same horizontal level. [ $ρ_{H g} = 13.6 g / c c, ρ_{g l y c e r i n e} = 1.3 g / c c$ ] The length of oil column is

A

10.4 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

8.2 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

7.2 c m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

9.6 c m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $9.6 c m$
$0.8 \times L + 13.6 (10 - L) = 1.3 \times 10$

$0.8 L + 136 - 13.6 L = 13$

$12.8 L = 123$

$L = 9.6 c m$

Suggest Corrections

thumbs-up

1

Similar questions

Q. A vertical U-tube of uniform cross section contains mercury in both sides of its arms as shown in figure.
Glycerin column of

10 c m

is introduced into one of its arms. Oil of density

0.8 g / c c

is poured into the other arm until the upper surface of the oil and glycerin at the same horizontal level.
(

ρ_{H g} = 13.6 g / c c, ρ_{p r e s s u r e} = 1.3 g / c c

)
The length of coil column is

Q. A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density =1.3

\frac{g}{c m^{3}}

column of length 10 cm is introduced into one of its arms. Oil of density 0.8

\frac{g}{c m^{3}}

is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, Density of mercury =

13.6 \frac{g}{c m^{3}}

Q. A vertical U tube of uniform inner cross-section containing mercury in both its arms. A glycerine ( density

1300 k g m^{- 3}

) column of length

10

cm is introduced into one of the arms. Oil of density (

800 k g m^{- 3}

) is poured in the other arm until the upper surface of the oil and the glycerine are in the same horizontal surface. Find the length of oil column ( Density of mercury =

13.6 \times 10^{3} k g m^{- 3}

)

Q. A U-tube contains water and oil separated by mercury. The mercury columns in the two arms are at the same level with

10 c m

of water in one arm and

12.5 c m

of oil in the other, as shown in the figure. What is the relative density of oil?

X

3.36 g/cc

U -

tube (containing mercury) in the right arm upto height

10 cm

above the mercury level. Another liquid

Y

is poured in the left arm upto height

8 cm

as shown in figure. Upper levels of

X

Y

are the same. What is the density of liquid

Y

ρ_{H g} = 13.6 g/cc

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Volume of Solids

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Volume of a sphere

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon