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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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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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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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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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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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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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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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
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A force F is applied on the wire of radius r and length L and change in the length of wire is l.  If the same force F is applied on the wire of the same material and radius 2r and length 2L, Then the change in length of the other wire is

(a)   l                                          (b)   2l

(c)   $l}{2}$                                      (d)   4l

Concept Questions :-

Hooke's law
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An iron rod of length 2m and cross section area of 50 X  , is stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young's modulus of the iron rod is-

(a) $19.6×{10}^{10}N/{m}^{2}$                         (b) $19.6×{10}^{15}N/{m}^{2}$

(c) $19.6×{10}^{18}N/{m}^{2}$                         (d) $19.6×{10}^{20}N/{m}^{2}$

Concept Questions :-

Hooke's law
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Difficulty Level: