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A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

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Important Questions on Mechanical Properties of Solids

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 8

If Young's modulus of iron is

2 \times 10^{11} N m^{- 2}

and the inter-atomic spacing between two molecules is

3 \times 10^{- 10} m

, then the interatomic force constant is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 10

When a weight of

10 kg

is suspended from a copper wire of length

3 m

and diameter

0.4 mm

, its length increases by

2.4 cm

. If the diameter of the wire is doubled keeping the length same, then the extension in its length will be:

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis II NEET>Chapter 4 - Mechanical Properties of Solids>TOPICWISE QUESTIONS>Q 11

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

MEDIUM

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis 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) Mechanis 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

HARD

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis 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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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis 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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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanis 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

A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to

Important Questions on Mechanical Properties of Solids

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