If the air on Earth's surface is replaced with water, then to what extent the water level must rise so as to maintain the same pressure $[10^{5} \frac{N}{m^{2}}]$ on Earth's surface? [Assume nothing above water surface. given g = 10 $m / s^{2}$ , density of water = 1000 $k g / m^{3}$ .

10 m

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5 m

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20 m

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15 m

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Solution

The correct option is A
10 m

We know the Atm pressure = $10^{5} \frac{N}{m^{2}}$ [approx]
If the height of water atmosphere = h
Then, pressure due to water = $ρ$ hg
[Neglecting variation in 'g' and constant density of water]
$ρ$ hg= $10^{5}$
$1000 \times 10 \times h = 10^{5}$
H=10m(approx)

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Similar questions

If the air on Earth's surface is replaced with water, then to what extent the water level must rise so as to maintain the same pressure $[10^{5} \frac{N}{m^{2}}]$ on Earth's surface? [Assume nothing above water surface. given g = 10 $m / s^{2}$ , density of water = 1000 $k g / m^{3}$ .

If the air on Earth's surface is replaced with water, then to what extent the water level must rise so as to maintain the same pressure $[10^{5} N / m^{2}]$ on Earth's surface? [Assume nothing above the water surface. given g = 10 $m / s^{2}$ , density of water = 1000 $k g / m^{3}$ .

If the atmosphere of the Earth is replaced with water, to what extent the water level must rise so as to maintain the same pressure $[10^{5} N m^{- 2}]$ on Earth's surface? [Assume nothing above the water surface. take $g = 10 m s^{- 2}$ , density of water $= 1000 k g m^{- 3}$ .

Assume air in the atmosphere is replaced by water of uniform density such that the pressure is unchanged on the Earth's surface. i.e. 10⁵ Pa. If a square plate of thickness 2 mm is kept on the surface of Earth and the effort required to lift it slowly is compared for both the cases (air and water), then choose the correct option?

Q. A large tank is filled with water

(density = 10^{3} {kg/m}^{3}) .

A small hole is made at a depth of

10 m

below water surface. The range of water coming out of the hole is

R

on the ground. What extra pressure must be applied on the water surface so that the range become

2 R

(p_{0} = 1 atm = 10^{5} Pa

and

g = 10 {m/s}^{2})

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If the air on Earth's surface is replaced with water, then to what extent the water level must rise so as to maintain the same pressure [105Nm2] on Earth's surface? [Assume nothing above water surface. given g = 10 m/s2, density of water = 1000 kg/m3.

The correct option is A 10 m We know the Atm pressure = 105Nm2[approx] If the height of water atmosphere = h Then, pressure due to water =ρhg [Neglecting variation in 'g' and constant density of water] ρhg=105 1000×10×h=105 H=10m(approx)

If the air on Earth's surface is replaced with water, then to what extent the water level must rise so as to maintain the same pressure $[10^{5} \frac{N}{m^{2}}]$ on Earth's surface? [Assume nothing above water surface. given g = 10 $m / s^{2}$ , density of water = 1000 $k g / m^{3}$ .

The correct option is A
10 m

We know the Atm pressure = $10^{5} \frac{N}{m^{2}}$ [approx]
If the height of water atmosphere = h
Then, pressure due to water = $ρ$ hg
[Neglecting variation in 'g' and constant density of water]
$ρ$ hg= $10^{5}$
$1000 \times 10 \times h = 10^{5}$
H=10m(approx)