Mechanical Properties of SolidsNEET Physics · Class 11 · NCERT Chapter 8

A wire of length $L$ and cross-sectional area $A$ is stretched by $\Delta L$ under a force $F$. Young's modulus of the material is:

Two wires of the same material have lengths in ratio $1:2$ and radii in ratio $2:1$. They are stretched by the same force. The ratio of their elongations is:

The energy stored per unit volume in a wire stretched within the elastic limit is:

A liquid has a bulk modulus of $5\times 10^9\text{Pa}$. The pressure required to decrease its volume by $0.5\%$ is:

A steel wire of length $L$ has Young's modulus $Y$ and cross-section $A$. The force required to double its length (within elastic limit, hypothetically) would be:

A wire of length $L$ and area $A$ is stretched by $\Delta L$ under a force $F$. The work done is:

Stress has the same dimensions as:

The theoretical limits of Poisson's ratio are:

A steel wire is stretched by $0.1\%$ under a force $F$. Steel has Young's modulus $2\times 10^{11}\text{Pa}$. The stress is:

The bulk modulus of a fluid is the ratio of:

A solid cube of side $L$ experiences a shearing force $F$ on its top face (parallel to a side). The shearing strain is approximately:

Two wires of the same material and same length but different radii $r$ and $2r$ are joined end-to-end (series) and stretched by the same force. The ratio of strains in the two wires is:

A wire of length $L$, area $A$ and Young's modulus $Y$ is stretched by $\Delta L$. The energy stored is:

Beyond the elastic limit, a material:

Young's modulus of a material does NOT depend on:

The shear modulus of a fluid is:

A wire of cross-section $A$ has Young's modulus $Y$. To stretch it by half its natural length, the required force is:

The reciprocal of bulk modulus is called:

Two wires of the same material have lengths $L_1,L_2$ and same area. They are connected in series and stretched by the same force, producing a total elongation $\Delta L$. The elongation of the first wire is:

A wire is stretched longitudinally and its volume is found to be conserved (no change in volume). Then Poisson's ratio is:

Two wires of the same length and material but different radii are stretched by the same force. The wire with the smaller radius experiences:

A spring has spring constant $k$. The work done in stretching it by $x$ is:

A wire is replaced by another wire of same length and material but with twice the diameter. Under the same load, the elongation becomes:

A wire of original length $L$ and area $A$ is stretched by $\Delta L$. If now the same wire is stretched to elongation $2\Delta L$ (within elastic limit), the energy stored becomes:

The slope of the linear (proportional) region of a stress-strain curve gives:

Steel has Young's modulus $2\times 10^{11}\text{Pa}$. A steel rod of length $1\text{m}$ and cross-section $1{\text{cm}}^2$ is loaded with $1000\text{N}$. The elongation is:

Compared to liquids, gases have:

The shear modulus and Young's modulus of most materials are related approximately by:

A wire of length $L$ and area $A$ is stretched by $\Delta L$ under force $F$. The energy density (per unit volume) stored is: