Compute the fractional change in volume of a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The Bulk modulus $(B)$ of glass is given by $B = 37 	imes 10^{9} \; N/m^2$.The formula for Bulk modulus is $B = \frac{p}{\Delta V / V}$,where $p$

Vedclass · Accepted Answer

$2.73 	imes 10^{-5}$

Vedclass · Answer

(C) The Bulk modulus $(B)$ of glass is given by $B = 37 	imes 10^{9} \; N/m^2$.The formula for Bulk modulus is $B = \frac{p}{\Delta V / V}$,where $p$ is the hydraulic pressure and $\Delta V / V$ is the fractional change in volume.Rearranging the formula,we get the fractional change in volume: $\frac{\Delta V}{V} = \frac{p}{B}$.Given $p = 10 \; atm = 10 	imes 1.013 	imes 10^{5} \; Pa = 1.013 	imes 10^{6} \; Pa$.Substituting the values: $\frac{\Delta V}{V} = \frac{1.013 	imes 10^{6}}{37 	imes 10^{9}}$.$\frac{\Delta V}{V} \approx 0.02737 	imes 10^{-3} = 2.737 	imes 10^{-5}$.Rounding to the nearest option,the fractional change in volume is $2.73 	imes 10^{-5}$.

Compute the fractional change in volume of a glass slab,when subjected to a hydraulic pressure of $10 \; atm$.

Similar Questions

The compressibility of water is $6 \times 10^{-10} \,m^{2}/N$. If one litre of water is subjected to a pressure of $4 \times 10^{7} \,N/m^{2}$, then the decrease in its volume in millilitre will be

When a rubber ball is taken to the bottom of a sea of depth $1400 \,m$,its volume decreases by $2 \%$. The Bulk modulus of the rubber ball is .................. $\times 10^8 \,N/m^2$ [density of water is $1 \,g/cc$ and $g=10 \,m/s^2$].

When compared with solids and liquids,the gases have

It is found that an increase in pressure of $100 \, kPa$ causes a certain volume of water to decrease by $5 \times 10^{-3}$ percent of its original volume. Then the speed of sound in the water is about .... $m/s$ (density of water $10^3 \, kg/m^3$)

The isothermal bulk modulus of a gas at atmospheric pressure is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module