The density of a metal at normal pressure is $\rho$. Its density when it is subjected to an excess pressure $p$ is $\rho^{\prime}$ If $B$ is Bulk modulus of the metal, the ratio of $\frac{{\rho '}}{\rho }$ is
  • A$\frac{1}{{1 - \frac{p}{B}}}$
  • B$1+$$\frac{p}{B}$
  • C$\;\frac{1}{{1 + \frac{p}{B}}}$
  • D$1+ \frac{B}{p}$
NEET 2017, Medium
art

Download our app
and 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

  • 1
    A wire of cross section $4 \;mm^2$ is stretched by $0.1\, mm$ by a certain weight. How far (length) will be wire of same material and length but of area $8 \;mm^2$ stretch under the action of same force......... $mm$
    View Solution
  • 2
    Two metallic wires $P$ and $Q$ have same volume and are made up of same material. If their area of cross sections are in the ratio $4: 1$ and force $F_1$ is applied to $\mathrm{P}$, an extension of $\Delta l$ is produced. The force which is required to produce same extension in $Q$ is $\mathrm{F}_2$.The value of $\frac{\mathrm{F}_1}{\mathrm{~F}_2}$ is__________.
    View Solution
  • 3
    Why the spring is made up of steel in comparison of copper
    View Solution
  • 4
    Which of the following is true for elastic potential energy density
    View Solution
  • 5
    An aluminum rod (Young's modulus $ = 7 \times {10^9}\,N/{m^2})$ has a breaking strain of $0.2\%$. The minimum cross-sectional area of the rod in order to support a load of ${10^4}$Newton's is
    View Solution
  • 6
    Shear modulus is zero for
    View Solution
  • 7
    According to Hook’s law of elasticity, if stress is increased, the ratio of stress to strain
    View Solution
  • 8
    A glass slab is subjected to a pressure of $10\, atm$. The fractional change in its volume is (Bulk modulus of glass $= 37 \times 10^9\, N\, m^{-2}$, $1\, atm = 1 \times 10^5\, N\, m^{-2}$)
    View Solution
  • 9
    When strain is produced in a body within elastic limit, its internal energy
    View Solution
  • 10
    Match List-$I$ with List-$II$ :

    List-$I$ List-$II$
    $(A)$  A force thatrestores anelastic body of unit area to its original state $(I)$ Bulkmodulus
    $(B)$  Two equal andopposite forcesparallel toopposite faces $(II)$Young'smodulus
    $(C)$Forcesperpendiculareverywhere tothe surface perunit areasameeverywhere $(III)$ Stress
    $(D)$Two equal andopposite forceperpendicular toopposite faces $(IV)$ Shearmodulus

    Choose the correct answer from the options given below:

    View Solution