Home
Class 11
PHYSICS
The reading of pressure meter attached w...

The reading of pressure meter attached with a closed pipe is `5 xx 10^(5) Nm^(-2)`. On opening the valve of the pipe, the reading of the pressure meter is `4.5 xx 10^(5) Nm^(-2)`. Calculate the speed of the water flowing in the pipe.

Text Solution

Verified by Experts

Using Bernoulli.s equation
` P_1 + 1/2 rho V_(I ) ^(2) = P_2 + 1/2 1/2 rho V_(2) ^(2)`
` 1/2 rho ( v_(2) ^(2) - V_(1) ^(2) ) = P_1 -P_2`
Here initial velocity `V_1 = 0` and density of water ` rho = 1000 kg m^(-3)`
`1/2 xx 10 ^(3) xx V_(2) ^(2) = ( 5-4.5 ) xx 10^(5)`
`V_(2)^(2) = ( 0.5 xx 10 ^(5) xx 2 )/( 10 ^(3) = 1 xx 10 ^2`
` V_(2)^(2) = ( 0.5 xx 10^(5) xx 2 )/( 10^3) = 1 xx 10^2 `
`V_(2)^(2) = 100`
` V_2 = 10 ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER-5 (SOLVED)

    FULL MARKS|Exercise PART-IV|10 Videos

  • SAMPLE PAPER-5 (SOLVED)

    FULL MARKS|Exercise PART-II|9 Videos

  • SAMPLE PAPER-14 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos

  • SOLVED PAPER -16 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|5 Videos

Similar Questions

Explore conceptually related problems

In a sonometer experiment, the density of the material of the wire used is 7.5xx10^(3)kgm^(-3) . If the stress of the wire is 3.0xx10^(8)Nm^(-2) , find out the speed of the transverse wave in the wire.

A cylinder of length 1.5 m and diameter 4 cm is fixed at one end. A tangential force of 4 xx 10^(5) N is applied at the other end. If the rigidity modulus of the cylinder is 6 xx 10^(10) Nm^(-2) then, calculate the twist produce in the cylinder.

A wire 10 m long has a cross-sectional area 1.25 xx 10^(-4) m^(2) . It is subjected to a load of 5 kg. If Young's modulus of the material is 4 xx 10^(10) N m^(-2) , calculate the elongation produced in the wire. Take g = 10 ms^(-2)