Poisson's Effect

Q.

Which of the following physical quantity is dimensionless?

1. Pressure

2. Strain

3. Stress

4. Area

Q. 4 3 8. A mild steel wire of length 2l meter cross-sectional area A m2 is fixed horizontally between two pillars A small mass m kg is suspended from the mid point of the wire. If extension in wire are within elastic limit. Then depression at the mid point of wire will be 1/3 ( Mg YA (2) Mg IA 1/3 MglYA Mg 2YA

Q. What is the relation between Modulus of rigidity$\left(G\right),$ Youngs modulus $\left(Y\right)$ and Bulk modulus$\left(B\right)$ ?

1. $\frac{1}{Y}=\frac{1}{B}+\frac{1}{G}$
2. $\frac{3}{Y}=\frac{1}{3B}+\frac{1}{G}$
3. $\frac{1}{Y}=\frac{3}{B}+\frac{1}{G}$
4. $\frac{1}{3Y}=\frac{1}{B}+\frac{3}{G}$

Q. a mild steel wire of length 2l , cross sectionala rea A is fixed horizontally between 2 pillars .a small mass m kg is suspended from mid point of wire .if extension in wire is within elastic limit, depression at mid point is 1.(mg/YA)^{1/3} 2.(mg/lA)^{1/3} 3.(mgl3/yA)^{1/3} 4.mg/2AY

Q. One end of a nylon of length $4.5m$ and diameter $6mm$ is fixed to a tree-limb. A monkey weighing $100N$ jumps very slowly to catch the rope and stays there. Find the change in the diameter of the rope. Young’s modulus of nylon $=4.8\times {10}^{11}N{m}^{-2}$ and Poisson’s ratio of nylon $=0.2$.

1. $4.4\times {10}^{-9}m$
2. $6.6\times {10}^{-9}m$
3. $8.8\times {10}^{-9}m$
4. $2.2\times {10}^{-9}m$

Q. The Poisson's ratio cannot have the value

1. 0.7
2. 0.2
3. 0.1
4. 0.5

Q. what is the different between G and g ?

Q. A : On reflection of a pressure wave from a rigid boundary, the reflected and incident waves are in same phase. R : From a rigid boundary, a compression pulse reflects as a compression pulse and rarefaction pulse reflects as a rarefaction pulse. Options: Both Assertion & Reason are true and the reason is the correct explanation of the assertion Both Assertion & Reason are true but the reason is not the correct explanation of the assertion Assertion is true statement but Reason is false Wrong Both Assertion and Reason are false statements

Q. Question) A steel wire of length 5.0 m and cross - section $3.0\times {10}^{-5}{m}^2$stretches by the same amount as a copper wire of length 3.0 m and cross - section $4.0\times {10}^{-5}{m}^2$ under a given load. What is the ratio of Young s modulus of steel to that of copper?

Q. A metal wire is stretched by a load. Then the fractional change in its volume $\frac{\Delta V}{V}$ is proportional to

1. $\frac{\Delta L}{L}$
2. ${\left(\frac{\Delta L}{2}\right)}^2$
3. $\sqrt{\frac{\Delta L}{L}}$
4. ${\left(\frac{\Delta L}{L}\right)}^3$

Q. If a uniform rod made of material having poisson's ratio $0.5$, suffers longitudinal strain of $2\times {10}^{-3}$, what is the percentage increase in volume?

1. $2\%$
2. $4\%$
3. $0\%$
4. $5\%$

Q. The Poisson's ratio cannot have the value

1. 0.7
2. 0.2
3. 0.1
4. 0.5

Q.

A mild steel wire of length 1.0 m and cross-sectional area 0.50 × 10^–2 cm² is stretched, well within its elastic limit, horizontally between two pillars. A mass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the midpoint.

Q. 2 Wires of the same material have their lengths in the ratio 1:3 and diameters in the ratio 2:1 . If they are stretched by the same force, What is their ratio of elongations?

Q. 5.Two wires A and B of the same dimensions are under loads of 4 and 5.5kg respectively. The ratio of young modulus of the materials of the wires for the same elongation is

Q.

One end of a nylonrope of length 4.5m and diameter 6mm is fixed to a free limb.A monkey weighing 100 Newtonjumps to catch the free end and says there.Find the elongation of the rope and corresponding change in diameter. Given Youngs modulus of nylon=4.8*10raised to 11