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Young's Modulus of Elasticity

The stress-st...

Question

The stress-strain diagram for two materials A and B are shown here. Select the correct option.

A

'

A

' has greater Young's modulus than '

B

'

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B

'

B

' has greater Young's modulus than '

A

'

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C

'

A

' & '

B

' has same Young's modulus

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D

Cannot comment

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Solution

The correct option is A ' $A$ ' has greater Young's modulus than ' $B$ '
Slope of stress - strain curve within the elastic limit gives the Young's modulus.
It can be clearly seen that
$(s l o p e)_{A}$ > $(s l o p e)_{B}$
So, Young's modulus of $A$ is greater than Young's modulus of $B$ .

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Similar questions

Q. The stress strain graphs for two materials

A

B

are shown in figure. The graphs are drawn to the same scale. Select the correct statement.

Q. The stress-strain graphs for materials A and B are shown in Fig. 9.12. The graphs are drawn to the same scale. (a) Which of the materials has the greater Young’s modulus? (b) Which of the two is the stronger material?

Q. The stress-strain graphs for materials A and B are shown in Fig.
The graphs are drawn to the same scale.
(a) Which of the materials has the greater Young's modulus ?
(b) Which of the two is the stronger material ?

The stress-strain graphs for materials A and B are shown in Fig. 9.12.

The graphs are drawn to the same scale.

(a) Which of the materials has the greater Young’s modulus?

(b) Which of the two is the stronger material?

Q. Assertion :The stress-strain graphs are shown in the figure for two materials

A

B

are shown in figure. Young's modulus of

A

is greater than that of

B

. Reason: The Young's modules for small strain is,

Y = \frac{s t r e s s}{s t r a i n}

= slope of linear portion of graph; and slope of

A

is more than that of

B

.

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Young's Modulus of Elasticity

Standard XII Physics

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