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The young's modulus of a wire of length ...

The young's modulus of a wire of length (L) and radius (r ) is Y. If the length is reduced to` L/2` and radius `r/2` , then its young's modulus will be

A

Y/2

B

Y

C

2Y

D

4Y

Text Solution

Verified by Experts

The correct Answer is:
b

Young's modulus depends upon the nature of material and is independent of the dimension of the material.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ELASTICITY -EXERCISE 1
  1. Which of the following statements is wrong?

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  2. A stress of 3.18 xx 10^(8) Nm^(-2) is applied to a steel rod of length...

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  3. The young's modulus of a wire of length (L) and radius (r ) is Y. If t...

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  4. An iron rod of length 2 m and cross-sectional area of 50 mm^(2) is str...

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  5. A particular force (F) applied on a wire increases its length by 2 xx ...

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  6. When a sphere is taken to bottom of sea 1 km deep, it contracts by 0.0...

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  7. A copper bar of length L and area of cross-section A is placed in a ch...

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  8. A ball falling in a lake of depth 200 m shows a decrease of 0.1% in i...

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  9. When a rubber cord is stretched, the change in volume with respect to ...

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  10. A uniform cube is subjected to volume compression. If each side is dec...

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  11. For most materials the Youngs modulus is n times the modulus of rigidi...

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  12. In the three states of matter, the elastic coefficient can be

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  13. For a wire of length L, maximum change in length under stress conditio...

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  14. To what depth below the surface of sea should a rubber ball be taken a...

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  15. One end of a unifrom wire of length L and weigth W is attached rigidly...

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  16. A 5 aluminium wire (Y = 7 xx 10^(10) Nm^(-2)) of diameter 3 mm support...

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  17. Four identical rods are stretched by same force. Maximum extension is ...

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  18. Compressibility of water is 5 xx 10^(-10) m^(2) N^(-1). The change in ...

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  19. A wire elongates by l mm when a load W is hanged from it. If the wire ...

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  20. An iron bar of length I and having a cross-section area A is heated fr...

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