The breaking stress of a wire going over a smooth pulley in the following question is 2 × ${10}^{9}$ N/${\mathrm{m}}^{2}$. What would be the minimum radius of the wire used if it is not to break?      1. $$0.46\times10^{-6}m$$ 2. $$0.46\times10^{-4}m$$ 3. $$0.46\times10^{8}m$$ 4. $$0.46\times10^{-11}m$$

Subtopic:  Stress - Strain |
72%
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The Poisson's ratio of a material is $$0.4.$$ If a force is applied to a wire of this material, there is a decrease in the cross-section area by $$2$$%. In such a case the percentage increase in its length will be:

 1 $$3$$% 2 $$2.5$$% 3 $$1$$% 4 $$0.5$$%
Subtopic:  Poisson's Ratio |
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Given below are two statements:

 Assertion (A): Hooke's law is applicable up to the elastic limit. Reason (R): Up to the elastic limit, stress is directly proportional to strain.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.
Subtopic:  Hooke's Law |
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A metallic rope of diameter $$1~ \text{mm}$$ breaks at $$10 ~\text{N}$$ force. If the wire of the same material has a diameter of $$2~\text{mm}$$, then the breaking force is:

 1 $$2.5~\text{N}$$ 2 $$5~\text{N}$$ 3 $$20~\text{N}$$ 4 $$40~\text{N}$$

Subtopic:  Young's modulus |
72%
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Two wires $$X$$ and $$Y$$ of the same length are made of the same material. The figure represents the load $$F$$ versus extension $$\Delta x$$ graph for the two wires. Hence:

 1 Modulus of elasticity of $$Y$$ is greater than that of $$X$$. 2 Stiffness of $$Y$$ is more than that of $$X$$. 3 The cross-sectional area of $$Y$$ is less than that of $$X$$. 4 All of these

Subtopic:  Stress - Strain Curve |
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The Young's modulus of a wire is numerically equal to the stress at a point when:

 1 the strain produced in the wire is equal to unity. 2 the length of the wire gets doubled. 3 the length increases by 100%. 4 All of these

Subtopic:  Young's modulus |
73%
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The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement:

 1 Material A is less brittle and less elastic as compared to B 2 Material A is more ductile and less elastic as compared to B 3 Material A is less brittle and more elastic than B 4 Material B is more brittle and more elastic than A

Subtopic:  Stress - Strain Curve |
67%
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The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)

 1 2 3 4
Subtopic:  Stress - Strain Curve |
66%
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A uniform wire is held at one end and stretched by applying force at the other end. If the product of the length of wire and area of cross-section of the wire remains unchanged, then Poisson's ratio of material of the wire will be:

 1 0 2 0.50 3 -0.5 4 Infinity

Subtopic:  Poisson's Ratio |
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A uniform wire of length $$3$$ m and mass $$10$$ kg is suspended vertically from one end and loaded at another end by a block of mass $$10$$ kg. The radius of the cross-section of the wire is $$0.1$$ m. The stress in the middle of the wire is: (Take $$g=10$$ ms-2)

 1 $$1.4 \times10^4$$ N/m2 2 $$4.8 \times10^3$$ N/m2 3 $$96 \times10^4$$ N/m2 4 $$3.5\times10^3$$ N/m2
Subtopic:  Stress - Strain |
66%
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