You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Atmospheric Pressure

A vessel has ...

Question

A vessel has a small hole at its bottom. If water can be poured into it upto a height of $7 c m$ without leakage ( $g = 10 m s^{- 2}$ ), the radius of the hole is (surface tension of water is $0.07 N m^{- 1}$ ).

2 m m

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

0.2 m m

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

0.1 m m

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

0.4 m m

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

Open in App

Solution

The correct option is B $0.2 m m$
Surface tension can hold wt of $7 c m$ of water above it.
$T = \frac{r h ρ g}{2} \Rightarrow r = \frac{2 T}{h ρ g}$

$r = \frac{0.07 \times 2}{0.07 \times 1000 \times 10}$
$r = 2 \times 10^{- 4} m$
$= 0.2 m m$

Suggest Corrections

Similar questions

Q. A container, whose bottom has around holes with diameter

0.1 m m

is filled with water. The maximum height in cm upto which water can be filled without leakage will be ?
(Surface tension

= 75 \times 10^{- 3} N / m

and

g = 10 m / s^{2}

Q. A vessel whose bottom has round holes with diameter 0.1 mm is filled with water. The maximum height upto which water can be filled without leakage is ................. cm.
(Given: Surface Tension

=

7.5 x 10

^{- 3}

^{- 1}

and g

=

10ms

^{- 2}

)

A vessel whose bottom has a round hole with diameter 0.1 mm is filled with water. The maximum height up to which water can be filled without leakage is ............. cm (given surface tension $= 7.5 \times 10^{- 2} N m^{- 1}$ and $g = 10 m s^{- 2}$

Q. A container, whose bottom has round holes with diameter

0.1 m m

is filled with water. The maximum height in cm upto which water can be filled without leakage will be what ?

S u r f a c e t e n s i o n = 75 \times 10^{- 3} N / m

and

g = 10 m / s^{2}

Q. A vessel whose bottom has round hole with diameter of

1 m m

is filled with water. Only surface tension acts at hole. (Surface tension of water is

75 \times 10^{- 3}

N/m and

g = 10 m / s^{2}

). The maximum height (in

c m

) to which water can be filled in the vessel without leakage is:

Join BYJU'S Learning Program

A vessel has a small hole at its bottom. If water can be poured into it upto a height of 7cm without leakage (g=10ms−2), the radius of the hole is (surface tension of water is 0.07Nm−1).

The correct option is B 0.2 mmSurface tension can hold wt of 7cm of water above it.T=rhρg2⇒r=2Thρgr=0.07×20.07×1000×10r=2×10−4m=0.2mm

A vessel has a small hole at its bottom. If water can be poured into it upto a height of $7 c m$ without leakage ( $g = 10 m s^{- 2}$ ), the radius of the hole is (surface tension of water is $0.07 N m^{- 1}$ ).

The correct option is B $0.2 m m$
Surface tension can hold wt of $7 c m$ of water above it.
$T = \frac{r h ρ g}{2} \Rightarrow r = \frac{2 T}{h ρ g}$

$r = \frac{0.07 \times 2}{0.07 \times 1000 \times 10}$
$r = 2 \times 10^{- 4} m$
$= 0.2 m m$