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The temperature of a wire length 1 m and...

The temperature of a wire length 1 m and area of cross-section `1 cm^(2)` is increased from `0^(@)C` to `100^(@)C`. If the rod is not allowed to increase in length, then the force, required will be `(alpha = 10^(-5) ""^(@)C^(-1)` and `Y = 10^(11) Nm^(-2)`)

A

`10^(3) N`

B

`10^(4) N`

C

`10^(5) N`

D

`10^(9) N`

Text Solution

Verified by Experts

The correct Answer is:
b
F = Force developed `= Y A alpha (Delta theta)`
`= 10^(11) xx 10^(-4) xx 10^(-5) xx 100 = 10^(4) N`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ELASTICITY -EXERCISE 2
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  2. A stress of 10^(6) Nm^(-2) is required for breaking a material. If the...

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  3. The temperature of a wire length 1 m and area of cross-section 1 cm^(2...

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  4. Two wires of copper having the length in the ratio 4 : 1 and their rad...

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  5. A steel wire of length 20 cm and uniform cross-sectional area of 1 mm^...

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  6. A force of 20 N is applied at one end of a wire of length 2 m having a...

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  7. Two wires of same diameter of the same material having the length l an...

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  8. A 5 metre long wire is fixed to the ceiling. A weight of 10 kg is hung...

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  9. The stress versus strain graphs for wires of two materials A and B are...

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  10. The load versus elongation graph for four wire of the same material is...

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  11. The strain stress curves of three wires of different materials are sho...

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  12. The density of a metal at normal pressure is rho. Its density when it ...

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  13. The poisson's ratio of a material is 0.1. If the longitudinal strain o...

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  14. The poisson's ratio of a material is 0.4. if a force is applied to a w...

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  15. The symbols, Y,K and eta represent the Young's modulus, bulk modulus a...

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  16. A solid sphere of radius R made of a material of bulk modulus K is sur...

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  17. The bulk modulus of a metal is 8 xx 10^(9) Nm^(-2) and its density is ...

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  18. When a force is applied on a wire of uniform cross-sectional are 3 xx ...

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  19. A wire of cross section A is stretched horizontally between two clamps...

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  20. An elastic spring of unstretched length L and spring constant K is str...

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