Advertisements
Advertisements
प्रश्न
Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.
उत्तर १
Hydraulic pressure exerted on the glass slab, p = 10 atm = 10 × 1.013 × 105 Pa
Bulk modulus of glass, B = 37 × 109 Nm–2
Bulk modulus, `B = p/(triangle V/V)`
Where `triangle V/V = p/B`
`=(10xx1.013xx10^5)/(37xx10^9)`
`=2.73 xx 10^(-5)`
Hence, the fractional change in the volume of the glass slab is 2.73 × 10–5.
उत्तर २
P = 10 atm = 10 x 1.013 xx 105 Pa; `k = 37 xx 10^9 Nm^(-2)`
Volumetric strain = `(triangleV)/V = P/K = (10xx1.013xx10^5)/(37xx10^9) = 2.74 xx 10^(-5)`
:.Fractional change in volume = `(triangleV)/V = 2.74 xx 10^(-5)`
APPEARS IN
संबंधित प्रश्न
Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure increase = 100.0 atm (1 atm = 1.013 × 105 Pa), Final volume = 100.5 litre. Compare the bulk modulus of water with that of air (at constant temperature). Explain in simple terms why the ratio is so large.
What is the density of water at a depth where the pressure is 80.0 atm, given that its density at the surface is 1.03 × 103 kg m–3?
How much should the pressure on a litre of water be changed to compress it by 0.10%?
Estimate the change in the density of water in ocean at a depth of 400 m below the surface. The density of water at the surface = 1030 kg m−3 and the bulk modulus of water = 2 × 109 N m−2.
The ratio of adiabatic bulk modulus and isothermal bulk modulus of gas is `("where" γ = "C"_"P"/"C"_"V")`
A ball falling in a lake of depth 300 m shows a decrease of 0.3% in its volume at the bottom. What is the bulk modulus of the material of the ball? (g = 10 m/s2)
To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1%. (The bulk modulus of rubber is 9.8 × 108 Nm–2; and the density of sea water is 103 kg m–3.)
A gas undergoes a process in which the pressure and volume are related by VPn = constant. The bulk modulus of the gas is ______.
The bulk modulus of a liquid is 3 × 1010 Nm-2. The pressure required to reduce the volume of liquid by 2% is ______.
The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of the increase in density of the material, when a pressure P is applied uniformly on all sides, will be ______.
