Mechanical Prop...

A metal wire of length l, area of cross-section A and Young's modulus Y behaves as a spring of spring constant k given by.

The increase in pressure required in $$kPa$$, to decrease the $$200$$ litres volume of a liquid by $$0.004$$% is (bulk modulus of the liquid $$= 2100\ MPa$$)

Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows

The energy stored per unit volume in copper wire, which produces longitudinal strain of $$0.1$$% is: $$\left( Y=1.1\times { 10 }^{ 11 }{ N }/{ { m }^{ 2 } } \right) $$

Young's modulus of the material of a wire is Y. If it is under a stress S, the energy stored per unit volume is given by:

There is no change in volume of a wire due to change in its length of stretching. The Poisson's ratio of the material of the wire is:

The value of Poisson's ratio (theoretically) lies between

Bulk modulus of water is $$2\times 10^9N/m^2$$. The change in pressure required to increase the density of water by $$0.1\%$$ is.

A wire of initial length $$L$$ and radius $$r$$ is stretched by a length $$l$$. Another wire of same material but with initial length $$2L$$ and radius $$2r$$ is stretched by a length $$2l$$. The ratio of stored elastic energy per unit volume in the first and second wire is:

In Young's double slit experiment, the ratio of intensities of bright and dark bands is $$16$$ which means