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Mechanical Properties of Solids
Young's modulus
3 questions from 3 papers, each with its answer.
- questions
- 3
- papers
- 3
- of Mechanical Properties of Solids
- 20%
Appears in
Concepts tested
- Equal extension of two wires
- Extension of a wire
- Extension of a wire of fixed volume
All Questions
2015 AIPMT-II 1 question
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The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:$Y = \frac{Fl}{A\Delta l} \Rightarrow \Delta l = \frac{Fl}{AY}$
$(\Delta l)_{steel} = (\Delta l)_{brass}$: $\frac{W_sl}{AY_s} = \frac{W_Bl}{AY_B}$
$\frac{W_s}{W_B} = \frac{Y_s}{Y_B} = 2$, i.e. 2 : 1
2014 AIPMT 1 question
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Copper of fixed volume 'V' is drawn into wire of length 'l'. When this wire is subjected to a constant force 'F', the extension produced in the wire is '$\Delta l$'. Which of the following graphs is a straight line?$Y = \frac{F/A}{\Delta l/l} \Rightarrow \Delta l = \frac{Fl}{AY}$
$V = Al \Rightarrow A = \frac{V}{l}$
$\Delta l = \frac{Fl^2}{VY}$, so $\Delta l \propto l^2$ and the graph of $\Delta l$ versus $l^2$ is a straight line.
2013 NEET 1 question
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The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?$Y = \frac{F/A}{\Delta l/l} \Rightarrow \Delta l = \frac{Fl}{YA} = \frac{Fl}{Y\pi r^2} \propto \frac{l}{r^2}$
$\frac{l}{r^2}$ is maximum for l = 50 cm and diameter = 0.5 mm.