A force \(F\) is needed to break a copper wire having radius \(R.\) The force needed to break a copper wire of radius \(2R\) will be:

1. \(F/2\) 2. \(2F\)
3. \(4F\) 4. \(F/4\)

Subtopic:  Stress - Strain |
 73%
From NCERT
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Steel and copper wires of the same length and area are stretched by the same weight one after the other. Young's modulus of steel and copper are \(2\times10^{11} ~\text{N/m}^2\) and  \(1.2\times10^{11}~\text{N/m}^2\). The ratio of increase in length is: 

1. \(2 \over 5\) 2. \(3 \over 5\)
3. \(5 \over 4\) 4. \(5 \over 2\)
Subtopic:  Young's modulus |
 91%
From NCERT
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Two wires of copper having length in the ratio of 4: 1 and radii ratio of 1: 4 are stretched by the same force. The ratio of longitudinal strain in the two will be:
1. 1: 16                                             
2. 16: 1
3. 1: 64                                             
4. 64: 1

Subtopic:  Hooke's Law |
 62%
From NCERT
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On applying stress of \(20 \times 10^8~ ​​\text{N/m}^2\), the length of a perfectly elastic wire is doubled. It's Young’s modulus will be:

1. \(40 \times 10^8~ ​​\text{N/m}^2\) 2. \(20 \times 10^8~ ​​\text{N/m}^2\)
3. \(10 \times 10^8~ ​​\text{N/m}^2\) 4. \(5 \times 10^8~ ​​\text{N/m}^2\)
Subtopic:  Young's modulus |
 74%
From NCERT
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The ratio of lengths of two rods A and B of the same material is 1: 2 and the ratio of their radii is 2: 1. The ratio of modulus of rigidity of A and B will be:

1. 4: 1 2. 16: 1
3. 8: 1 4. 1: 1
Subtopic:  Stress - Strain |
 54%
From NCERT
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When a spiral spring is stretched by suspending a load on it, the strain produced is called:

1. Shearing
2. Longitudinal
3. Volume       
4. shearing and longitudinal


 

Subtopic:  Shear and bulk modulus |
From NCERT
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A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be:
1. 0.02                                   
2. 0.1
3. 0.005                                
4. 0.002

Subtopic:  Stress - Strain |
 70%
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The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that:
           

1. Elasticity of wire P is maximum
2. Elasticity of wire Q is maximum
3. Tensile strength of R is maximum
4. None of the above is true

Subtopic:  Stress - Strain Curve |
From NCERT
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The work done in stretching an elastic wire per unit volume is:

1. stress\(\times\)strain
2. \(\frac{1}{2}\)\(\times\)stress\(\times\)strain
3.  \(2\times\)stress\(\times\)strain
4. stress/strain
Subtopic:  Potential energy of wire |
 95%
From NCERT
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A \(5\) m long wire is fixed to the ceiling. A weight of \(10\) kg is hung at the lower end and is \(1\) m above the floor. The wire was elongated by \(1\) mm. The energy stored in the wire due to stretching is:
1. zero                                 
2. \(0.05\) J
3. \(100\) J                          
4. \(500\) J

Subtopic:  Potential energy of wire |
 78%
From NCERT
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