Question
The relationship between Young's modulus $Y,$ Bulk modulus $K$ and modulus of rigidity $\eta $ is

Answer

(a)$Y = 3K(1 - 2\sigma ){\rm{ and}}\;Y = 2\eta (1 + \sigma )$

Eliminating $\sigma $ we get $Y = \frac{{9\eta K}}{{\eta + 3K}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A vessel at rest explodes into three pieces. Two pieces having equal masses fly off perpendicular to one another with the same velocity $30$ meter per second. The third piece has three times mass of each of other piece. The magnitude and direction of the velocity of the third piece will be
A small satellite is revolving near earth's surface. Its orbital velocity will be nearly......... $km/sec$
A system exhibiting S.H.M. must possess
A uniform chain of mass $m$ and length $L$ is originally placed mid-way on the top of a fixed smooth double-sided wedge (Figure- $A$). The length of each side of the wedge is $L$ . It is then given a slight push. The kinetic energy of the chain when the whole chain has just slid to the left side of the wedge (Figure- $B$), is :
The figure shows a meter-bridge circuit, with $AB = 100\, cm$,$ X = 12\,\Omega$ and $R = 18\,\Omega$ , and the jockey $J$ in the position of balance. If $R$ is now made $8\,\Omega$ , through what distance will $J$ have to be moved to obtain balance? .............. $cm$
An electron with kinetic energy $E$ collides with a hydrogen atom in the ground state. The collision will be elastic
A spring mass system executes damped harmonic oscillations given by the equation 

$y = A{e^{ - \frac{{bt}}{{2m}}}}\sin (\omega 't + \phi )$

where the symbols have their usual meanings. If a $2\ kg$ mass $(m)$ is attached to a spring of force constant $(K)$ $1250\ N/m$ , the period of the oscillation is $\left( {\pi /12} \right)s$ . The damping constant $‘b’$ has the value. ..... $kg/s$

A particle moves in the $x-y$ plane under the action of a force $\,\vec F$ such that the value of its linear momentum $(\,\vec P)$ at anytime $t$ is $P_x = 2cost$ , $P_y = 2sint$ . The angle between $\,\vec F$ and $\,\vec P$ at a given time $t$ , will be 
If yellow light emitted by sodium lamp in Young's double slit experiment is replaced by monochromatic blue light of the same intensity
Two parallel wires in free space are $10\, cm$ apart and each carries a current of $10\, A$ in the same direction. The force one wire exerts on the other per metre of length is