Two blocks of masses $3 \,{kg}$ and $5\, {kg}$ are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $\frac{24}{\pi} \times 10^{2}\, {Nm}^{-2}$. What is the minimum radius of the wire? (Take $\left.g=10\, {ms}^{-2}\right)$ (in $cm$)
  • A$125$
  • B$1250$
  • C$12.5$
  • D$1.25$
JEE MAIN 2021, Diffcult
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
    The bulk modulus of an ideal gas at constant temperature
    View Solution
  • 2
    Consider the situation shown in figure. The force $F$ is equal to the $m_2g/2.$ If the area of cross-section of the string is $A$ and its Young's modulus $Y$, find the strain developed in it. The string is light and there is no friction anywhere
    View Solution
  • 3
    Minimum and maximum values of Poisson’s ratio for a metal lies between
    View Solution
  • 4
    The elasticity of invar
    View Solution
  • 5
    A rod of length $l$ and area of cross-section $A$ is heated from $0°C$ to $100°C$. The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to
    View Solution
  • 6
    Steel and copper wires of same length are stretched by the same weight one after the other. Young's modulus of steel and copper are $2 \times {10^{11}}\,N/{m^2}$ and $1.2 \times {10^{11}}\,N/{m^2}$. The ratio of increase in length
    View Solution
  • 7
    A student plots a graph from his reading on the determination of Young’s modulus of a metal wire but forgets to label. The quantities on $X$ and $Y$ axes may be respectively.
    View Solution
  • 8
    Which one of the following is the Young’s modulus $($in $N/m^2)$ for the wire having the stress-strain curve shown in the figure
    View Solution
  • 9
    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
  • 10
    In steel, the Young's modulus and the strain at the breaking point are $2 \times {10^{11}}\,N{m^{ - 2}}$ and $0.15$ respectively. The stress at the breaking point for steel is therefore
    View Solution