English
Karnataka Board PUCPUC Science Class 11

The Figure Shows the Strain-stress Curve for a Given Material. What Are (A) Young’S Modulus and (B) Approximate Yield Strength for this Material - Physics

Advertisements
Advertisements

Question

The figure shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?

Advertisements

Solution

a) Young’s modulus of the material (Y) is given by

Y =Stress/Strain

=150 x 106/0.002

150 x 106/2 x 10-3

=75 x 109 Nm-2

=75 x 1010 Nm-2

b) Yield strength of a material is defined as the maximum stress it can sustain. From graph, the approximate yield strength of the given material

= 300 x 106 Nm-2

= 3 x 108 Nm-2 .

shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

Two wires A and B are made of same material. The wire A has a length l and diameter rwhile the wire B has a length 2l and diameter r/2. If the two wires are stretched by the same force, the elongation in A divided by the elongation in B is 


A wire elongates by 1.0 mm when a load W is hung from it. If this wire goes over a a pulley and two weights W each are hung at the two ends, he elongation of he wire will be 


The length of a metal wire is l1 when the tension in it T1 and is l2 when the tension is T2. The natural length of the wire is


A steel rod of cross-sectional area 4 cm2 and 2 m shrinks by 0.1 cm as the temperature decreases in night. If the rod is clamped at both ends during the day hours, find the tension developed in it during night hours. Young modulus of steel = 1.9 × 1011 N m−2.


Consider the situation shown in figure. The force F is equal to the m2 g/2. If the area of cross section of the string is A and its Young modulus Y, find the strain developed in it. The string is light and there is no friction anywhere.


A uniform rectangular block of mass of 50 kg is hung horizontally with the help of three wires A, B and C each of length and area of 2m and 10mm2 respectively as shown in the figure. The central wire is passing through the centre of gravity and is made of material of Young's modulus 7.5 x 1010 Nm−2 and the other two wires A and C symmetrically placed on either side of the wire B are of Young's modulus 1011 Nm2  The tension in the wires A and B will be in the ratio of: 


The temperature of a wire is doubled. The Young’s modulus of elasticity ______.


Identical springs of steel and copper are equally stretched. On which, more work will have to be done?


A steel rod (Y = 2.0 × 1011 Nm–2; and α = 10–50 C–1) of length 1 m and area of cross-section 1 cm2 is heated from 0°C to 200°C, without being allowed to extend or bend. What is the tension produced in the rod?


If the yield strength of steel is 2.5 × 108 Nm–2, what is the maximum weight that can be hung at the lower end of the wire?


A steel rod of length 2l, cross sectional area A and mass M is set rotating in a horizontal plane about an axis passing through the centre. If Y is the Young’s modulus for steel, find the extension in the length of the rod. (Assume the rod is uniform.)


If Y, K and η are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.


A uniform metal rod of 2 mm2 cross section is heated from 0°C to 20°C. The coefficient of linear expansion of the rod is 12 × 10-6/°C, it's Young's modulus is 1011 N/m2. The energy stored per unit volume of the rod is ______.


The force required to stretch a wire of cross section 1 cm2 to double its length will be ______.

(Given Young's modulus of the wire = 2 × 1011 N/m2)


What does the dimensional formula [L⁻¹M¹T⁻²] represent?


In the formula Y = MgL/(πr²l), what does 'l' represent?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×