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Chapter 25: Problem 2798
Arrange rubber, steel and glass in the order of decreasing elasticity. (A) glass, steel, rubber (B) rubber, glass, steel (C) glass, rubber, steel (D) steel, glass, rubber
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The compressibility of a substance equals......... (A) \((\Delta \mathrm{V} / \mathrm{PV})\) (B) \(\\{(\mathrm{P} \Delta \mathrm{V}) / \mathrm{V}\\}\) (C) \(\\{\mathrm{V} /(\mathrm{P} \Delta \mathrm{V})\\}\) (D) \((\mathrm{PV} / \Delta \mathrm{V})\)
A uniform rod of length \(L\) and density \(\rho\) is being pulled along A smooth floor with a horizontal acceleration \(\alpha\) what is the magnitude of the stress at the transverse cross-section through the midpoint of the rod? (A) \((1 / 3) \operatorname{L} \rho \alpha\) (B) \(\operatorname{L} \rho \alpha\) (C) \((2 / 3) \mathrm{L} \rho \rho\) (D) \(\\{(\operatorname{L} \rho \alpha) / 2\\}\)
In searle's experiment, diameter of wire was measured \(0.05\) \(\mathrm{cm}\) by screw gauge of least count \(0.001 \mathrm{~cm}\). The length of wire was measured \(110 \mathrm{~cm}\) by metes scale of least count \(0.1 \mathrm{~cm}\). When a weight of \(50 \mathrm{~N}\) is suspended from the wire, extension is measured to be \(0.125 \mathrm{~cm}\) by a micrometer of lecst count $0.001 \mathrm{~cm} .$ Find maximum error in the measurement of Young's modulus of the wire material. (A) \(1.09 \times 10^{12}\) (B) \(1.09 \times 10^{10}\) (C) \(3.09 \times 10^{10}\) (D) \(3.09 \times 10^{12}\)
A solid cylindrical steel column is \(4 \mathrm{~m}\) long and \(9 \mathrm{~cm}\) in diameter $\cdot\left(\mathrm{Y}_{\text {steel }}=1.9 \times 10^{11} \mathrm{Nm}^{-2}\right)$. The decrease in length of the column, while carrying a load of \(80000 \mathrm{~kg}\) is........ (A) \(3.2 \mathrm{~mm}\) (B) \(1.8 \mathrm{~mm}\) (C) \(4.4 \mathrm{~mm}\) (D) \(2.6 \mathrm{~mm}\)
A solid sphere of radius \(\mathrm{R}\) made of a material of bulk modulus \(\mathrm{K}\) is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass \(\mathrm{M}\) is placed on the pisten to compress the liquid, the fractional change in the radius of the sphere \((\delta \mathrm{R} / \mathrm{R})\) is.......... (A) \(\\{(\mathrm{Mg}) /(3 \mathrm{KA})\\}\) (B) \(\\{(\mathrm{Mg}) /(\mathrm{KA})\\}\) (C) \(\\{(\mathrm{Mg}) /(4 \mathrm{KA})\\}\) (D) \(\\{(\mathrm{Mg}) /(2 \mathrm{KA})\\}\)
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