List of top Physics Questions on mechanical properties of solids asked in NEET (UG)

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of cross-sectional area A of the wire is:
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). 
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring. 
Reason (R): A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements choose the most appropriate answer from the options given below:
When a block of mass $M$ is suspended by a long wire of length $L$. the length of the wire becomes $(L+ l)$. The elastic potential energy stored in the extended wire is:
Two wires are made of the same material and have the same volume. The first wire has cross-sectional area $A$ and the second wire has cross-sectional area $3A$. If the length of the first wire is increased by $\Delta l$ on applying a force $F$, how much force is needed to stretch the second wire by the same amount ?
The bulk modulus of a spherical object is ‘B’. If it is subjected to uniform pressure ‘p’, the fractional decrease in radius is
The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of
Copper of fixed volume $V$ is drawn into wire of length $l$. When this wire is subjected to a constant force $F$, the extension produced in the wire is $ \Delta l $. Which of the following graphs is a straight line?
Copper of fixed volume 'V' is drawn into wire of length 'l'. When this wire is subjected to a constant force 'F', the extension produced in the wire is 'Δl'. Which of the following graphs is a straight line?
If the ratio of diameters, lengths and Young's modulus of steel and copper wires shown in the figure are $p, q$ and $s$ respectively, then the corresponding ratio of increase in their lengths would be :
When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be: