A wire of diameter 1mm  breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of

(a)   500 N                                (b)   1000 N

(c)   10000 N                            (d)   4000 N

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Difficulty Level:

There is no change in the volume of a wire due to change in its length on stretching. The Poisson's ratio of the material of the wire is

(a)   + 0.50                                (b)   – 0.50

(c)   0.25                                   (d)   – 0.25

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Difficulty Level:

The force required to stretch a steel wire of cross-section  to 1.1 times its length would be

(a) $2×{10}^{6}N$                               (b) $2×{10}^{3}N$

(c) $2×{10}^{-6}N$                             (d) $2×{10}^{-7}N$

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Difficulty Level:

When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be

(a) 9.6 cm                               (b) 4.8 cm

(c) 1.2 cm                               (d) 0.6 cm

Concept Questions :-

Hooke's law
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Difficulty Level:

A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to

(a) $\frac{1}{{L}^{2}}$                                              (b) $\frac{1}{L}$

(c) ${L}^{2}$                                                (d) L

Concept Questions :-

Hooke's law
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Difficulty Level:

On applying a stress of $20×{10}^{8}$ N/${m}^{2}$ the length of a perfectly elastic wire is doubled. Its Young’s modulus will be

(a) $40×{10}^{8}N/{m}^{2}$                         (b) $20×{10}^{8}N/{m}^{2}$

(c) $10×{10}^{8}N/{m}^{2}$                         (d) $5×{10}^{8}N/{m}^{2}$

Concept Questions :-

Hooke's law
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Difficulty Level:

The length of an elastic string is a metre when the longitudinal tension is 4 N and b metre when the longitudinal tension is 5 N. The length of the string in metre when the longitudinal tension is 9 N is

(a) a - b                                             (b) 5b - 4a

(c) 2b -$\frac{1}{4}a$                                        (d) 4a - 3b

Concept Questions :-

Hooke's law
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Difficulty Level:

How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm ?

(Young’s modulus for brass = $0.9×{10}^{11}N/{m}^{2}$)

(a) Nearly 17 N                        (b) Nearly 34 N

(c) Nearly 51                        (d) Nearly 68 N

Concept Questions :-

Hooke's law
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Difficulty Level:

A 5 m long aluminium wire $\left(Y=7×{10}^{10}N/{m}^{2}\right)$ of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire $\left(Y=12×{10}^{10}N/{m}^{2}\right)$ of the same length under the same weight, the diameter should now be, in mm

(a)   1.75                                   (b)   1.5

(c)   2.5                                     (d)   5.0

Concept Questions :-

Hooke's law
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Difficulty Level:

A steel wire of 1 m long and  cross section area  is hang from rigid end. When mass of 1kg is hung from it then change in length will be (given $Y=2×{10}^{11}N/{m}^{2}$)

(a)   0.5 mm                              (b)   0.25 mm

(c)   0.05 mm                            (d)   5 mm

Concept Questions :-

Hooke's law