Home
Class 12
PHYSICS
A cylindrical tank has a hole of 1 cm in...

A cylindrical tank has a hole of 1 cm in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of `70 cm//sec` . then the maximum height up to which water can rise in the tank is

A

`2.5cm`

B

`5cm`

C

`10cm`

D

`0.25cm`

Text Solution

Verified by Experts

The correct Answer is:
A
The height of water in the tank becomes maximum when the volume of water flowing into the tank per second becomes equal to the volume flowing out per second.
Volume of water flowing out per second `=Aupsilon =Asqrt(2gh)`
and volume of water flowing in per second `=70cm^(3)//sec`.
`therefore A sqrt(2gh) = 70 implies 1xxsqrt(2gh) = 70 implies 1xxsqrt(2xx980xxh)=70 therefore h =(4900)/(1960) = 2.5cm`.
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # I|21 Videos

  • FLUID MECHANICS

    BANSAL|Exercise EXERCISE # II|18 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Additional topic|70 Videos

Similar Questions

Explore conceptually related problems

A cylindrical tank has a hole of 1cm^(2) in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70cm^(3)//sec , then the maximum height up to which water can rise in the tank is

A cylindrical tank has a holes of 3 cm^(2) in its bottom. If the water is allowed to flow into the tank form a tube above it at the rate of 80 cm^(3)//sec . Then the maximum height up to which water can rise in the tank is

A cylindrical tank has a hole of 2cm^(2) at its bottom if the water is allowed to flow into tank from a tube above it at the rate of 100cm^(3)//s then find the maximum height upto which water can rise in the tank (take =g=10ms^(-2) )

A cylindrical tank whose cross-section area is 2000 cm^2 has a hole in its bottom 1 cm ^2 in area. (i) If the water is allowed to flow into the tank from a tube above it at the rate of 140 cm ^3//s , how high will the water in the tank rise ? (ii) If the flow of water into the tank is stopped after the above height has been reached, how long will it take for tank to empty itself through the hole?

A large cylindrical tank has a hole of area A at its bottom. Water is oured in the tank by a tube of equal cross sectional area A ejecting water at the speed v.

A cylindrical tank has a small hole at bottom. At t = 0 , a tap starts to supply water into the tank at a constant rate beta m^3//s . (a) Find the maximum level of water H_(max) in the tank ? (b) At what time level of water becomes h(h lt H_(max)) Given a , area of hole, A : area of tank.

A tank has a hole at its bottom. The time needed to empty the tank from level h_(1) to h_(2) will be proportional to

A tank filled with fresh water has a hole in its bottom and water is flowing out of it. If the size of the hole is increased, then

Suppose that water is emptied from a spherical tank of radius 10 cm. If the depth of the water in the tank is 4 cm and is decreasing at the rate of 2 cm/sec, then the radius of the top surface of water is decreasing at the rate of