A 5m aluminium wire (Y = 7 × 1010 N/m2) of from Class Physics Mechanical Properties of Solids

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CBSE

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NEET Physics : Mechanical Properties of Solids

Multiple Choice Questions

51.

The Young's modulus of a wire is numerically equal to the stress which will

  • not change the length of the wire

  • double the length of the wire

  • increase the length

  • change the radius of the wire to half



52.

A one-metre long steel wire of cross-sectional area 1mm2 is extended by 1 mm. If Y=2 x 1011 N/m2, then the work done is :

  • 0.1 J

  • 0.2 J

  • 0.3 J

  • 0.4 J



53.

A 5m aluminium wire (Y = 7 × 1010 N/m2) of diameter 3mm supports a 40 kg mass. In order to have the same elongation in copper wire (Y =12 x 1010 N/m2) of the same length under the same weight, the diameter should be in mm :

  • 1.75

  • 2.0

  • 2.3

  • 5.0



54.

Minimum and maximum values of Poisson's ratio for a metal lies between:

  • - ∞ to + ∞ 

  • 0 to 1

  • - ∞ to 1

  • 0 to 0.5



55.

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 :

  • 500 N

  • 100 N

  • 1000 N

  • 4000 N



56.

A steel scale measures the length of a copper wire as 80.0 cm when both are at 20°C, the calibration temperature for the scale. What would the scale read for the length of the wire when both are at 40°C?

Given : α for steel = 11 × 10-6 per °C and for Cu= 17 × 10-6 per °C :

  • 80.0096 cm

  • 80.0272

  • 1 cm

  • 25.2 cm



57.

A 4 m long copper wire of cross-sectional area 1.2 cm2 is stretched by a force of 4.8 x 103 N. Young's modulus for copper is Y = 1.2 x 1011 N/m2, the increase in length of the wire is

  • 1.32 mm

  • 0.8 mm

  • 0.48 mm

  • 5.36 mm



58.

A wire of length L and cross-sectional area A is made of a material of Young's modulus Y. It is stretched by an amount x. The work done is

  • YxA2L

  • Yx2AL

  • Yx2A2L

  • 2Yx2AL



59.

The force of cohesion is

  • maximum in solids

  • maximum in liquids

  • maximum in gases

  • same in solid, liquid and gas



60.

The manifestation of band structure in solids is due to

  • Heisenberg's uncertainly principle

  • Pauli's exclusion principle

  • Bob's correspondence principle

  • Boltzmann's law



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