A cubical solid aluminium (bulk modulus $=-V \frac{ dP }{ dV }=70 GPa$ ) block has an edge length of $1 m$ on the surface of the earth. It is kept on the floor of a $5 km$ deep ocean. Taking the average density of water and the acceleration due to gravity to be $10^3 kg m ^{-3}$ and $10 ms ^{-2}$, respectively, the change in the edge length of the block in $mm$ is . . . . .
  • A$2.20$
  • B$2.38$
  • C$2.40$
  • D$2.45$
IIT 2020, Easy
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 rectangular block of size $10\,cm \times 8\,cm \times 5\,cm$ is kept in three different positions $P, Q$ and $R$ in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force $F$ is applied tangentially to the opposite face to deform the block. The displacement of the upper face will be
    View Solution
  • 2
    The bulk modulus of a spherical object is '$B$'. If it is subjected to uniform pressure '$P$', the fractional decrease in radius is
    View Solution
  • 3
    Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be
    View Solution
  • 4
    When a pressure of $100$ atmosphere is applied on a spherical ball, then its volume reduces to $0.01\%$. The bulk modulus of the material of the rubber in $dyne/c{m^2}$ is
    View Solution
  • 5
    A rubber pipe of density $1.5 \times {10^3}\,N/{m^2}$ and Young's modulus $5 \times {10^6}\,N/{m^2}$ is suspended from the roof. The length of the pipe is $8 \,m$. What will be the change in length due to its own weight
    View Solution
  • 6
    With rise in temperature, the Young's modulus of elasticity
    View Solution
  • 7
    If $x$ longitudinal strain is produced in a wire of Young's modulus $y,$ then energy stored in the material of the wire per unit volume is
    View Solution
  • 8
    The load versus elongation graph for four wires of same length and the same material is shown in figure. The thinnest wire is represented by line
    View Solution
  • 9
    $K$ is the force constant of a spring. The work done in increasing its extension from ${l_1}$ to ${l_2}$ will be
    View Solution
  • 10
    A brass rod of cross-sectional area $1\,c{m^2}$ and length $0.2\, m$ is compressed lengthwise by a weight of $5\, kg$. If Young's modulus of elasticity of brass is $1 \times {10^{11}}\,N/{m^2}$ and $g = 10\,m/{\sec ^2}$, then increase in the energy of the rod will be
    View Solution