A glass slab is subjected to a pressure of $10\, atm$. The fractional change in its volume is (Bulk modulus of glass $= 37 \times 10^9\, N\, m^{-2}$, $1\, atm = 1 \times 10^5\, N\, m^{-2}$)
Medium
Download our app for free and get started
Bulk modulus, $\mathrm{B}=\frac{\mathrm{P}}{\Delta \mathrm{V} / \mathrm{V}}$
Fractional change in volume, $\frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{\mathrm{P}}{\mathrm{B}}$
Here, $P=10$ atm $=10 \times 1 \times 10^{5} \mathrm{N} \mathrm{m}^{-2}$
$\mathrm{B}=37 \times 10^{9} \mathrm{N} \mathrm{m}^{-2}$
$\therefore \quad \frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{1 \times 10^{6} \mathrm{Nm}^{-2}}{37 \times 10^{9} \mathrm{Nm}^{-2}}=0.027 \times 10^{-3}$
$=2.7 \times 10^{-5}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1View SolutionDue to addition of impurities, the modulus of elasticity
- 2A stress of $1.5\,kg.wt/mm^2$ is applied to a wire of Young's modulus $5 \times 10^{11}\,N/m^2$ . The percentage increase in its length isView Solution
- 3The elongation of a wire on the surface of the earth is $10^{-4} \; m$. The same wire of same dimensions is elongated by $6 \times 10^{-5} \; m$ on another planet. The acceleration due to gravity on the planet will be $\dots \; ms ^{-2}$. (Take acceleration due to gravity on the surface of earth $=10 \; m / s ^{-2}$ )View Solution
- 4Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are $Y_{1}$ and $Y_{2}$. The combination behaves as a single wire then its Young's modulus is:View Solution
- 5View SolutionAccording to Hook’s law force is proportional to
- 6The area of cross-section of a wire of length $1.1$ metre is $1$ $mm^2$. It is loaded with $1 \,kg.$ If Young's modulus of copper is $1.1 \times {10^{11}}\,N/{m^2}$, then the increase in length will be ......... $mm$ (If $g = 10\,m/{s^2})$View Solution
- 7View SolutionThe correct increasing order for modulus of elasticity for copper, steel, glass and rubber is
- 8Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is $2 \,cm$, then how much is the elongation in steel and copper wire respectively? Given, $Y_{\text {steel }}=20 \times 10^{11} \,dyne / \ cm ^2$, $Y_{\text {copper }}=12 \times 10^{11} \,dy ne / \ cm ^2$View Solution
- 9A cube of aluminium of sides $0.1\, m$ is subjected to a shearing force of $100\, N$. The top face of the cube is displaced through $0.02 \,cm$ with respect to the bottom face. The shearing strain would beView Solution
- 10A uniformly tapering conical wire is made from a material of Young's modulus $Y$ and has a normal, unextended length $L.$ The radii, at the upper and lower ends of this conical wire, have values $R$ and $3R,$ respectively. The upper end of the wire is fixed to a rigid support and a mass $M$ is suspended from its lower end. The equilibrium extended length, of this wire, would equalView Solution