Home
Class 12
PHYSICS
If stress-strain relation for volametric...

If stress-strain relation for volametric change is in the from `(DeltaV)/(V_(0))= KP` where P is applied uniform pressure, then K stands for

A

Young's modulus

B

Bulk modulus

C

Shear modulus

D

Compressibility

Text Solution

Verified by Experts

The correct Answer is:
D
Bulk modulus `B = V_(0) (dP)/(dV) = (dP)/(dV//V_(0))`
(B is used instead of K to avoid confusion.)
In this case `(dV)/(V_(0)) = (dP)/(B)`
But it is given that, `(dV)/(V_(0)) = KP` where K is a constant
Thus, `K = (1)/(B) = (1)/("Bulk Modulus") = "Compressibility"`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    MARVEL PUBLICATION|Exercise Test Your Grasp - 5|15 Videos

  • CURRENT ELECTRICITY

    MARVEL PUBLICATION|Exercise MCQ|151 Videos

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 16|30 Videos

Similar Questions

Explore conceptually related problems

The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (where v is velocity, p is pressure , rho is density)

For a constant hydraulic pressure on an object, the fractional change in the object's volume ((Delta V)/(V)) and its compressibility ((1)/(K)) are related as

An ideal gas ((C_(p))/(C_(v))=gamma) has initial volume V_(0) is kept in a vessel. It undergoes a change and follows the following relation P = kV^(2) (where P is pressure, and V is volume) find the change in internal energy of the gas if its final pressure is P_(0) :

Two soap bubble are combined isothermally to form a big bubble of radius R. If DeltaV is change in volume, DeltaS is change in surface area and P_(0) is atmospheric pressure then show that 3P_(0)(DeltaV)+4T(DeltaS)=0

The compressibility of a material is B.A cube of side 'a' is made with this material. If a uniform pressure P is applied on the cube from all the sides the fractional change in its length will be

Pressure P , Volume V and temperature T of a certain material are related by the P=(alphaT^(2))/(V) . Here alpha is constant. Work done by the material when temparature changes from T_(0) to 2T_(0) while pressure remains constant is :

The work done in changing the state from (P_0, V_0) to (P_1, V_1) in the following system is :

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(2) . Which relation is correct (gamma = (C_(P))/(C_(V))) ?