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If the density of the material increase,...

If the density of the material increase, the value of young's modulus

A

increases

B

decreases

C

first increases, then decreases

D

first decreases, then increases

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The correct Answer is:
A
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The stress-strain graphs for materials A and B 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 ?

In the figure shown the straing versus stress graph for two values of young's modulus ? (i) which material is more ductile ? Explain. (ii) Which material is more brittle ? Explain. (iii) Which material is stronger ? Explain.

Figure shows a wire of length 2L and crosssectional area A, stretched horizontally between two clamps. When an object of mass M is suspended from the mid point of the wire, the downward displacement of the young's modulus of the material of the wire is x. Shown that M = (YA x ^(3))/(gL ^(3)) (where theta is small)

A steel wire of length 5 m and diameter 10^(-3) m is hanged vertically from a ceiling of 5.22 m height. A sphere of radius 0.1 m and mass 8tt kg is tied to the free end of the wire. When this sphere is oscillated like a simple pendulum, it touches the floor of the room in its velocity of the sphere in its lower most position. Calculate the velocity of the sphere in its lower Young's modulus for in its lower most position. Young's modulus for steel =1.994 xx 10 ^(11) Nm ^(-2).

What is the effect of change in temperature on the Young's modulus ?

A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to T_(M). If the Young's modulus of the material of the wire is Y then 1/Y is equal to: (g = gravitational acceleration)

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to T_(M). If the Young's modulus of the material of the wire is (Y) then 1/Y is equal to:

A hollow metallic sphere has inner and outer radii, respectively as 5 cm and 10 cm if the mass of the sphere is 2.5 kg, find (a) density of the material, (b) relative density of the material of the sphere.

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

ALLEN -ELASTICITY, SURFACE TENSION AND FLUID MECHANICS-Exercise 1 (Elasticity)
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  4. A force F is needed to break a copper wire having radius R. The force ...

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  5. If the density of the material increase, the value of young's modulus

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  6. The following four wires are made of the same material which of these ...

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  7. The load versus elongation graph for four wires of the same material a...

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  8. A fixed volume of iron is drawn into a wire of length l. The extension...

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  9. Two wires of the same material have lengths in the ratio 1:2 and their...

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  10. The area of cross-section of a wire of length 1.1 meter is 1mm^(2). It...

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  11. The Young's modulus of a rubber string 8 cm long and density 1.5kg//m^...

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  12. An increases in pressure required to decreases the 200 litres volume o...

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  13. A ball falling in a lake of depth 200 m shows 0.1% decrease in its vol...

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  14. Two wires of same diameter of the same material having the length l an...

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  15. A brass rod of cross-sectional area 1cm^(2) and length 0.2 m is compre...

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  16. A weight is suspended from a long metal wire. If the wire suddenly bre...

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