Hooke's Law and Elastic Modulus

A student performs an experiment to determine the Young’s modulus of a wire, exactly $2 \mathrm{m}$ long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be $0.8 \mathrm{mm}$ with an uncertainty of $\pm 0.05 \mathrm{mm}$ at a load of exactly $1.0 \mathrm{kg}$. The student also measures the diameter of the wire to be $0.4 \mathrm{mm}$ with an uncertainty of $\pm 0.01 \mathrm{mm}$. Take $g=9.8 \mathrm{m} {\mathrm{s}}^{-2}$ (exact). The Young’s modulus obtained from the reading is

A steel wire of cross-sectional area $3\times {10}^{-6} {\mathrm{m}}^2$ can withstand a maximum strain of ${10}^{-3}$. Young's modulus of steel is $2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$. The maximum mass this wire can hold is,

A copper and a steel wire of same diameter are connected end to end. A deforming force $F$ is applied to this composite wire which causes a total elongation of $1$ $\mathrm{cm}$. The two wires will have:

Determine the limit of Poisson’s ratio of a metallic wire.

The theoretical limits of Poisson’s ratio lies between $-1 \mathrm{t}0 0.5$
 

Determine the theoritical limit of Poisson's ratio.

Explain the Poissons ratio and mention its limit

What is the range of Poisson ratio for metal?
 

Young's modulus of a material  has the same unit as

The dimensional formula of Young's modulus is $\left[M^x{L}^{-1}{T}^{-2}\right]$. The value of $x$ is _____.

A wire of length $8 \mathrm{m}$ has a cross-sectional area of $1 {\mathrm{mm}}^2$. A load of $10 \mathrm{kg}$weight is applied to it. If the strain be $1\%$ of $0.1$, then calculate the ratio of stress and strain.

A uniform metallic wire is elongated by $0.04 \mathrm{m}$ when subjected to a linear force $F.$ The elongation, if its length and diameter is doubled and subjected to the same force will be________ $\mathrm{cm}.$

What is relation between Y, K, $\mathrm{\eta }$ for some isotropic solid material?

A ball falling in a lake of $200 \mathrm{m}$ shows a decrease of $0.1\%$ in its volume. The compressibility of the material of the ball is -

A lead block of Volume $1 {\mathrm{m}}^3$ is subjected to a pressure of $10$ atmospheres. The compressibility of the lead block is

(Take $K=8\times {10}^9 \mathrm{N} {\mathrm{m}}^{-2}$, one atmosphere $=1.013\times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}$)

Which one is the correct relation between modulus of rigidity$\left(\eta \right)$ and young's modulus $\left(\gamma \right)$

Which one is the SI unit of compressibility?

Two litres of water, when subjected to a pressure of $150 \mathrm{N}/{\mathrm{m}}^2$, are compressed by $2 \mathrm{cc}$. Find the compressibility of water.
 

Which one is the correct relation between modulus of rigidity$\left(\eta \right)$ and young's modulus $\left(\gamma \right)$

Which one of the following is the correct relation between compressibility $\beta$ and Bulk Modulus $K$