Advertisements
Advertisements
प्रश्न
If p0 = 1.03 × 105 Nm–2, ρ0 = 1.29 kg m–3 and g = 9.8 ms–2, at what height will the pressure drop to (1/10) the value at the surface of the earth?
Advertisements
उत्तर
As p = `p_0e^((ρ_0gh)/p_0)`,
⇒ In `p/p_0 = - (ρ_0gh)/p_0`
By question, `p = 1/10 p_0`
⇒ In `((1/10 p_0)/p_0) = - (ρ_0g)/p_0 h`
⇒ In `1/10 = - (ρ_0g)/p_0 hρ_0`
∴ h = `- p_0/(ρ_0g)` In `1/10` `- p_0/(p_0g)` In `(10)^-1`
= `p_0/(ρ_0g)` In 10`
= `p_0/(ρ_0g) xx 2.303` .....[∵ In (x) = 2.303 log10(x)]
= `(1.013 xx 10^5)/(1.22 xx 9.8) xx 2.303`
= 0.16 × 105 m
= 16 × 103 m
APPEARS IN
संबंधित प्रश्न
Fill in the blanks using the word(s) from the list appended with each statement
For the model of a plane in a wind tunnel, turbulence occurs at a ... speed for turbulence for an actual plane (greater / smaller)
Figures (a) and (b) refer to the steady flow of a (non-viscous) liquid. Which of the two figures is incorrect? Why?
The cylindrical tube of a spray pump has a cross-section of 8.0 cm2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min–1, what is the speed of ejection of the liquid through the holes?
A Gipsy car has a canvass top. When the car runs at high speed, the top bulges out. Explain.
Bernoulli's theorem is based on the conservation of
A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A ejecting water at the speed v.
Suppose the tube in the previous problem is kept vertical with B upward. Water enters through B at the rate of 1 cm3/s. Repeat parts (a), (b) and (c). Note that the speed decreases as the water falls down.
What is the basis of Bernoulli’s principle?
A large number of liquid drops each of radius 'a' are merged to form a single spherical drop of radius 'b'. The energy released in the process is converted into kinetic energy of the big drop formed. The speed of the big drop is [p = density of liquid, T = surface tension of liquid] ____________.
When one end of the capillary is dipped in water, the height of water column is 'h'. The upward force of 119 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (Surface tension of water= 7 x 10-2 N/m) ____________.
Which of the following is NOT an example of the application of Bernoulli's principle?
Dynamic lift caused by spinning is called ______.
In the widest part of the horizontal pipe, oil is flowing at a rate of 2 m/sec. The speed (in m/s) of the flow of oil in the narrow part of the tube if the pressure difference in the broad and narrow parts of the pipe is 0.25 ρoilg, is ______ m/s.
A tank is filled with water of density 1 g cm-3 and oil of density 0.9 g cm3. The height of water layer is 100 cm and of the oil layer is 400 cm. If g = 980 cms-2, then the velocity of efflux from an opening in the bottom of the tank is ______.
Explain the working of an atomizer.
