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A bridge can bear 4 x 10^{4} kg weight. If the breaking stress is 47 x 10^{3} N/m^{3} and factor of safety is 5 then the area of cross section of the rod will be :^{ }

(A)

4.34 m^{2}

(B)

43.4 m^{2}

(C)

0.434 m^{2}

(D)

0.04 m^{2}

Question-2

The Poisson's ratio for a material is 0.1. If the longitudinal strain of a rod of this material is 1 x 10^{-3}, then the percentage change in the volume of rod will be :

(A)

8%

(B)

0.8%

(C)

0.08%

(D)

0.008%

Question-3

The volume of a solid rubber ball when it is carried from the surface to the bottom of a 200 m deep lake decreases by 0.1%. The value for bulk modulus of elasticity for rubber will be :

(A)

2 x 10^{9} pascal

(B)

2 x 10^{6} pascal

(C)

2 x 10^{4} pascal

(D)

2 x 10^{7} pascal

Question-4

The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct ?

(A)

Increase in length is inversely proportional to A

(B)

Increase in length is proportional to Young's modulus

(C)

Increase in length is inversely proportional to its length L

(D)

Increase in length is proportional to area of cross-section A

Question-5

Two rods of different materials having coefficients of linear expansion α_{1 }and α_{2} , Young's modulii Y_{1} and Y_{2 }respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If α_{1} : α_{2} =2 : 3, the thermal stresses developed in the two rods are equal provided Y_{1} : Y_{2} is equal to :

(A)

2 : 3

(B)

1 : 1

(C)

3 : 2

(D)

4 : 9

Question-6

A uniform elastic plank moves due to a constant force F placed over a smooth surface. The area of end face is S and Young's modulus of the material is E. What is the average strain produced in the direction of the force?

(A)

^{F}/_{4SE}

(B)

Zero

(C)

^{F}/_{SE}

(D)

^{F}/_{2SE}

Question-7

The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be :

(A)

EY

(B)

E/Y

(C)

(D)

Question-8

The magnitude of the force developed by raising the temperature from 0^{o}C to 100^{o}C of the iron bar 1.00 m long and 1 cm^{2} cross-section when it is held so that it is not permitted to expand or bend is :

(Given : α = 10^{-5} /^{o}C and Y = 10^{11} N/m^{2})

(A)

10^{3 }N

(B)

10^{4 }N

(C)

10^{5 }N

(D)

10^{9 }N

Question-9

For the same cross-sectional area and for a given load, the ratio of depressions for the beam of a square cross-section and circular cross-section is :

(A)

3 : π

(B)

π : 3

(C)

1 : 1

(D)

1 : π

Question-10

A metal block is experencing an atmospheric pressure of 10^{5} N/m^{2}. When the same block is placed in a vaccum chamber, the fractional change in its volume : (the bulk modulus of metal is 1.25 x 10^{11} N/m^{2})

(A)

8 x 10^{-7}

(B)

1 x 10^{-7}

(C)

4 x 10^{-7}

(D)

2 x 10^{-7}

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