EWT | Academic Question

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Question (41)
QN0035561

Consider four steel wires of dimensions given below (  diameter and  length) :   
      (A) 
      (B) 
      (C) 
      (D)

If same force is applied to all the wires then the elastic potential energy stored will be maximum in wire:

  • (A)

    A

  • (B)

    B

  • (C)

    C

  • (D)

    D

Correct Answer: C
Explanation:

We have,

where

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Question (42)
QN0035562

If in a wire of Young's modulus , longitudinal strain  is produced, then the value of potential energy stored 

in its unit volume will be

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

P.E.  stress  strain  volume or  P.E.  volume  strain  (strain)

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Question (43)
QN0035563

The Young's modulus of the material of a wire is . If the elongation strain is , then the 

energy stored in the wire per unit volume in  is         

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Work done per unit volume

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Question (44)
QN0035564

A 5 metre long wire is fixed to the ceiling. A weight of  is hung at the lower end and is 1 metre above 

the floor. The wire was elongated by . The energy stored in the wire due to stretching is

 

  • (A)

    zero

  • (B)

    0.05 joule

  • (C)

    100 joule

  • (D)

    500 joule

Correct Answer: B
Explanation:

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Question (45)
QN0035565

A wire suspended vertically from one of its ends is stretched by attaching a weight of  to the lower end. 

The weight stretches the wire by . Then the elastic energy stored in the wire is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Elastic energy

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Question (46)
QN0035566

An aluminium rod with Young's modulus  undergoes elastic strain of . The

energy per unit volume stored in the rod in SI unit is:

  • (A)

    5600

  • (B)

    8400

  • (C)

    2800

  • (D)

    11200

Correct Answer: A
Explanation:

Young's modulus,

Strain

The energy per unit volume stored in the rod,

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Question (47)
QN0035567

If  and  are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

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Question (48)
QN0035568

When a force is applied on a wire of uniform cross-section area  and length , the increase in 

 length is 1 . Energy stored in it will be 

  • (A)

  • (B)

    0.177 J 

  • (C)

  • (D)

Correct Answer: C
Explanation:

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Question (49)
QN0035569

A metal rod of Young's modulus  undergoes an elastic strain of . The energy per 

unit  volume stored in  is

  • (A)

    3600

  • (B)

    7200

  • (C)

    10800

  • (D)

    14400

Correct Answer: A
Explanation:

volume

[Strain  ]

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Question (50)
QN0035570

When the load on a wire is increasing slowly from  to , the elongation increases from  to . 

The work done during this extension of the wire is ( 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

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