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Mechanical Properties of Solids

140864 Under elastic limit, the stress is .......... .

1 Inversely proportional to strain

2 Directly proportional to strain

3 Square root of strain

4 Independent of strain

Explanation:

B From Hook's Law,

Hook's Law states that within the elastic limit, the stress is directly proportional to strain.
Stress $\propto$ Strain

Shift-II]

Mechanical Properties of Solids

140886 Which one of the following statement is correct? In the case of

1 shearing stress there is change in volume

2 tensile stress there is no change in volume

3 shearing stress there is no change in shape

4 hydraulic stress there is no change in volume

5 tensile stress there is no change in shape

Kerala CEE - 2010

Mechanical Properties of Solids

140890 A metallic rod breaks when strain produced is $0.2 %$ . The Young's modulus of the material of the rod is $7 \times 10^{9} N / m^{2}$ . What should be its area of cross-section to support a load of $10^{4} N$ ?

1

7.1 \times 10^{- 8} m^{2}

2

7.1 \times 10^{- 6} m^{2}

3

7.1 \times 10^{- 4} m^{2}

4

7.1 \times 10^{- 2} m^{2}

Explanation:

C Given,
Strain produced $= 0.2 % = \frac{0.2}{100} = \frac{2}{1000}$
Young modulus $(Y) = 7 \times 10^{9} N / m^{2}, Load (F) = 10^{4} N$ We know,
$Stress = Y \times strain$
$\frac{Force}{Area} = 7 \times 10^{9} \times \frac{2}{1000} .$

BITSAT-2009

Mechanical Properties of Solids

140893 Write copper, steel, glass and rubber in order of increasing coefficient of elasticity.

1 Steel, rubber, copper, glass

2 Rubber, glass copper, steel

3 Rubber, glass, steel, copper

4 Rubber, glass, copper, steel

Explanation:

B We know,
$Stress = \frac{F}{A}$
Force $\propto$ Area of cross-section
From the above expression, It is clear that load does not depends upon the length of the wire. It depends upon the cross-section of the wire.

CG PET- 2007]

Mechanical Properties of Solids

140864 Under elastic limit, the stress is .......... .

1 Inversely proportional to strain

2 Directly proportional to strain

3 Square root of strain

4 Independent of strain

Explanation:

B From Hook's Law,

Hook's Law states that within the elastic limit, the stress is directly proportional to strain.
Stress $\propto$ Strain

Shift-II]

Mechanical Properties of Solids

140886 Which one of the following statement is correct? In the case of

1 shearing stress there is change in volume

2 tensile stress there is no change in volume

3 shearing stress there is no change in shape

4 hydraulic stress there is no change in volume

5 tensile stress there is no change in shape

Kerala CEE - 2010

Mechanical Properties of Solids

140890 A metallic rod breaks when strain produced is $0.2 %$ . The Young's modulus of the material of the rod is $7 \times 10^{9} N / m^{2}$ . What should be its area of cross-section to support a load of $10^{4} N$ ?

1

7.1 \times 10^{- 8} m^{2}

2

7.1 \times 10^{- 6} m^{2}

3

7.1 \times 10^{- 4} m^{2}

4

7.1 \times 10^{- 2} m^{2}

Explanation:

C Given,
Strain produced $= 0.2 % = \frac{0.2}{100} = \frac{2}{1000}$
Young modulus $(Y) = 7 \times 10^{9} N / m^{2}, Load (F) = 10^{4} N$ We know,
$Stress = Y \times strain$
$\frac{Force}{Area} = 7 \times 10^{9} \times \frac{2}{1000} .$

BITSAT-2009

Mechanical Properties of Solids

140893 Write copper, steel, glass and rubber in order of increasing coefficient of elasticity.

1 Steel, rubber, copper, glass

2 Rubber, glass copper, steel

3 Rubber, glass, steel, copper

4 Rubber, glass, copper, steel

Explanation:

B We know,
$Stress = \frac{F}{A}$
Force $\propto$ Area of cross-section
From the above expression, It is clear that load does not depends upon the length of the wire. It depends upon the cross-section of the wire.

CG PET- 2007]

Mechanical Properties of Solids

140864 Under elastic limit, the stress is .......... .

1 Inversely proportional to strain

2 Directly proportional to strain

3 Square root of strain

4 Independent of strain

Explanation:

B From Hook's Law,

Hook's Law states that within the elastic limit, the stress is directly proportional to strain.
Stress $\propto$ Strain

Shift-II]

Mechanical Properties of Solids

140886 Which one of the following statement is correct? In the case of

1 shearing stress there is change in volume

2 tensile stress there is no change in volume

3 shearing stress there is no change in shape

4 hydraulic stress there is no change in volume

5 tensile stress there is no change in shape

Kerala CEE - 2010

Mechanical Properties of Solids

140890 A metallic rod breaks when strain produced is $0.2 %$ . The Young's modulus of the material of the rod is $7 \times 10^{9} N / m^{2}$ . What should be its area of cross-section to support a load of $10^{4} N$ ?

1

7.1 \times 10^{- 8} m^{2}

2

7.1 \times 10^{- 6} m^{2}

3

7.1 \times 10^{- 4} m^{2}

4

7.1 \times 10^{- 2} m^{2}

Explanation:

C Given,
Strain produced $= 0.2 % = \frac{0.2}{100} = \frac{2}{1000}$
Young modulus $(Y) = 7 \times 10^{9} N / m^{2}, Load (F) = 10^{4} N$ We know,
$Stress = Y \times strain$
$\frac{Force}{Area} = 7 \times 10^{9} \times \frac{2}{1000} .$

BITSAT-2009

Mechanical Properties of Solids

140893 Write copper, steel, glass and rubber in order of increasing coefficient of elasticity.

1 Steel, rubber, copper, glass

2 Rubber, glass copper, steel

3 Rubber, glass, steel, copper

4 Rubber, glass, copper, steel

Explanation:

B We know,
$Stress = \frac{F}{A}$
Force $\propto$ Area of cross-section
From the above expression, It is clear that load does not depends upon the length of the wire. It depends upon the cross-section of the wire.

CG PET- 2007]

Mechanical Properties of Solids

140864 Under elastic limit, the stress is .......... .

1 Inversely proportional to strain

2 Directly proportional to strain

3 Square root of strain

4 Independent of strain

Explanation:

B From Hook's Law,

Hook's Law states that within the elastic limit, the stress is directly proportional to strain.
Stress $\propto$ Strain

Shift-II]

Mechanical Properties of Solids

140886 Which one of the following statement is correct? In the case of

1 shearing stress there is change in volume

2 tensile stress there is no change in volume

3 shearing stress there is no change in shape

4 hydraulic stress there is no change in volume

5 tensile stress there is no change in shape

Kerala CEE - 2010

Mechanical Properties of Solids

140890 A metallic rod breaks when strain produced is $0.2 %$ . The Young's modulus of the material of the rod is $7 \times 10^{9} N / m^{2}$ . What should be its area of cross-section to support a load of $10^{4} N$ ?

1

7.1 \times 10^{- 8} m^{2}

2

7.1 \times 10^{- 6} m^{2}

3

7.1 \times 10^{- 4} m^{2}

4

7.1 \times 10^{- 2} m^{2}

Explanation:

C Given,
Strain produced $= 0.2 % = \frac{0.2}{100} = \frac{2}{1000}$
Young modulus $(Y) = 7 \times 10^{9} N / m^{2}, Load (F) = 10^{4} N$ We know,
$Stress = Y \times strain$
$\frac{Force}{Area} = 7 \times 10^{9} \times \frac{2}{1000} .$

BITSAT-2009

Mechanical Properties of Solids

140893 Write copper, steel, glass and rubber in order of increasing coefficient of elasticity.

1 Steel, rubber, copper, glass

2 Rubber, glass copper, steel

3 Rubber, glass, steel, copper

4 Rubber, glass, copper, steel

Explanation:

B We know,
$Stress = \frac{F}{A}$
Force $\propto$ Area of cross-section
From the above expression, It is clear that load does not depends upon the length of the wire. It depends upon the cross-section of the wire.

CG PET- 2007]

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