- 1(current)
Q. No.The maximum elongation of a steel wire of \(1~\text m\) length if the elastic limit of steel and its Young's modulus, respectively, are \(8 × 10^8 ~\text{N m}^{-2 }\) and \(2 × 10^{11} ~\text{N m}^{-2},\) is:
1. \(0.4~\text{mm}\)
2. \(40~\text{mm}\)
3. \(8~\text{mm}\)
4. \(4~\text{mm}\)
1. \(0.4~\text{mm}\)
2. \(40~\text{mm}\)
3. \(8~\text{mm}\)
4. \(4~\text{mm}\)
Subtopic: Young's modulus |
67%
Level 2: 60%+
NEET - 2024
Hints
A wire of length \(L,\) area of cross section \(A\) is hanging from a fixed support. The length of the wire changes to \({L}_1\) when mass \(M\) is suspended from its free end. The expression for Young's modulus is:
| 1. | \(\dfrac{{Mg(L}_1-{L)}}{{AL}}\) | 2. | \(\dfrac{{MgL}}{{AL}_1}\) |
| 3. | \(\dfrac{{MgL}}{{A(L}_1-{L})}\) | 4. | \(\dfrac{{MgL}_1}{{AL}}\) |
Subtopic: Young's modulus |
79%
Level 2: 60%+
NEET - 2020
Hints
Links
Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area \(A\) and the second wire has a cross-sectional area \(3A\). If the length of the first wire is increased by \(\Delta l\) on applying a force \(F\), how much force is needed to stretch the second wire by the same amount?
| 1. | \(9F\) | 2. | \(6F\) |
| 3. | \(4F\) | 4. | \(F\) |
Subtopic: Young's modulus |
77%
Level 2: 60%+
NEET - 2018
Hints
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Copper of fixed volume \(V\) is drawn into a 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?
1. \(\Delta l ~\text{vs}~\dfrac{1}{l}\)
2. \(\Delta l ~\text{vs}~l^2\)
3. \(\Delta l ~\text{vs}~\dfrac{1}{l^2}\)
4. \(\Delta l ~\text{vs}~l\)
1. \(\Delta l ~\text{vs}~\dfrac{1}{l}\)
2. \(\Delta l ~\text{vs}~l^2\)
3. \(\Delta l ~\text{vs}~\dfrac{1}{l^2}\)
4. \(\Delta l ~\text{vs}~l\)
Subtopic: Young's modulus |
71%
Level 2: 60%+
AIPMT - 2014
Hints
Links
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are \(p,\) \(q\) and \(s\) respectively, then the corresponding ratio of increase in their lengths would be:
| 1. | \(\dfrac{5 q}{7 {sp}^2} \) | 2. | \(\dfrac{7 q}{5 sp^2} \) |
| 3. | \(\dfrac{2 q}{5 s p} \) | 4. | \(\dfrac{7 q}{5 s p}\) |
Subtopic: Young's modulus |
78%
Level 2: 60%+
NEET - 2013
Hints
- 1(current)
Q. No.
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