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A force of $10^{3} N$ stretches the length of a hanging wire by $1 mm$ . The force required to stretch a wire of same material and length but having four times the diameter will be

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Important Questions on Mechanical Properties of Solids

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 12

Two wires $A$ and $B$ of the same material, have their radii in the ratio $2 : 1$ and lengths in the ratio $4 : 1$ . The ratio of the normal forces required to produce the same change in the lengths of these two wires is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 13

Density of rubber is $d$ . A thick rubber cord of length $L$ and cross-sectional area $A$ undergoes elongation under its own weight on suspending it. This elongation is proportional to

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 14

5 m

long aluminium wire

(Y_{1} = 7 \times 10^{10} N m^{- 2})

of diameter

3 mm

supports a

40 kg

mass. In order to have the same elongation in a copper wire

(Y_{2} = 12 \times 10^{10} N m^{- 2})

of the same length under the same weight, the diameter (in

mm

) should now be

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 15

The length of an elastic spring is

a metre

when the longitudinal tension is

4 N

and

b metre

when the longitudinal tension is

5 N

. The length of the spring (in

metre

) when the longitudinal tension is

9 N

HARD

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 16

A pan with a set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of

0.6 s

. When some additional weights are added, then time period is

0.7 s

. The extension caused by the additional weights is approximately given by

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 17

The area of cross-section of a steel wire

(Y = 2.0 \times 10^{11} N m^{- 2})

0.1 {cm}^{2}

. The force required to double its length will be

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NEET

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 18

A wire of diameter

1 mm

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

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NEET

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 19

A substance breaks down by a stress of

10^{6} N m^{- 2}

. If the density of the material of the wire is

3 \times 10^{3} kg m^{- 3}

, then the length of the wire of the substance which will break under its own weight when suspended vertically is

A force of 103 N stretches the length of a hanging wire by 1 mm. The force required to stretch a wire of same material and length but having four times the diameter will be

Important Questions on Mechanical Properties of Solids

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A force of $10^{3} N$ stretches the length of a hanging wire by $1 mm$ . The force required to stretch a wire of same material and length but having four times the diameter will be