Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2009
Exam
BITSAT
Year
2009
Subject
Physics
Chapter
Mechanical Properties of Solids

BITSAT 2009 · Physics · Mechanical Properties of Solids

A metallic rod breaks when strain produced is 0.2 \%. The Young's...

A metallic rod breaks when strain produced is 0.2%.0.2 \%. The Young's modulus of the material of the rod is 7×109N/\mathrmm2.7 \times 10^{9} \mathrm{ N} / \mathrmm^{2}. What should be its area of cross-section to support a load of 104N10^{4} \mathrm{ N} ?

Options

  1. A7.1×10−8m27.1 \times 10^{-8} \mathrm{ m}^{2}
  2. B7.1×10−6m27.1 \times 10^{-6} \mathrm{ m}^{2}
  3. C7.1×10−4m27.1 \times 10^{-4} \mathrm{ m}^{2}
  4. D7.1×10−2m27.1 \times 10^{-2} \mathrm{ m}^{2}

Correct answer

C. 7.1×10−4m27.1 \times 10^{-4} \mathrm{ m}^{2}

Step-by-step solution

\quad Maximum possible strain =0.2/100=0.2 / 100∴A=FY× strain =104×100(7×109)×0.2=7.1×10−4m2\begin{array}{l} \therefore\mathrm{A}=\frac{\mathrm{F}}{\mathrm{Y} \times \text{ strain }}\\ =\frac{10^{4} \times 100}{\left(7 \times 10^{9}\right) \times 0.2}=7.1 \times10^{-4} \mathrm{ m}^{2} \end{array}$$
Practice Mechanical Properties of Solids on Quantrex Academy →

More from Mechanical Properties of Solids

Two wires of the same material (Young's modulus =Y ) and same length L but radii R and 2… BITSAT 2024With rise in temperature, the Young's modulus of elasticity: BITSAT 2024Young's modules of materials of a wire of Length ' L ' and cross-sectional area A is Y.… BITSAT 2024Young's moduli of the material of wires A and B are in the ratio of 1: 4 , while its area… BITSAT 2023A 100 m long wire having cross-sectional area 6.25 × 10^ -4 m^2 and Young's modulus is… BITSAT 2023There are two wire of same material and same length while the diameter of second wire is… BITSAT 2020A steel wire of cross-sectional area 4 cm ^ 2 has elastic limit of 2. 2 × 10 ^ 8 Nm^ - 2… BITSAT 2019A rubber cord has a cross-sectional area 10 ^ - 6 m^ 2 and total unstretched length 0. 1m… BITSAT 2019 Full Mechanical Properties of Solids list All BITSAT PYQs