Home
Class 12
PHYSICS
The bulk modulus of a spherical object i...

The bulk modulus of a spherical object is `B` if it is subjected to uniform pressure `p`, the fractional decrease in radius is:

A

`(B)/(3P)`

B

`(3P)/(B)`

C

`(P)/(3B)`

D

`(P)/(B)`

Text Solution

Verified by Experts

The correct Answer is:
C

`B= (P)/(-(Delta v)/(v))` ..(i)
where B= bulk modulus
Volume of spherical body `V = (4)/(3) pi R^(3)`
Fractional change in volume `(Delta V)/(V) =(3Delta R)/(R )`
Substituting the value of `(Delta V)/(V)`
`B= (P)/(-(3Delta R)/(R ))`
`(Delta R)/(R )= (-) (P)/(3B)` where (-ve) sign is decrease in radius
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF MATTER

    PHYSICS WALLAH|Exercise NEET Past 5 Yeats Questions|16 Videos
  • MECHANICAL PROPERTIES OF MATTER

    PHYSICS WALLAH|Exercise NEET Past 5 Yeats Questions|16 Videos
  • MAGNETISM AND MATTER

    PHYSICS WALLAH|Exercise NEET PAST 5 YEARS QUESTIONS |10 Videos
  • MOTION IN A PLANE

    PHYSICS WALLAH|Exercise NEET Past 5 years Questions|10 Videos

Similar Questions

Explore conceptually related problems

The compressibility of water is 5 xx 10^(-10) m^(2)//N . If it is subjected to a pressure of 15 MPa, the fractional decrease in volume will be-

The isothermal bulk modulus of a gas at atmospheric pressure is

Knowledge Check

  • The bulk modulus of a spherical objects is 'B'. If it is subjected to uniform pressure 'P', the fractional decrease in radius is

    A
    `(B)/(3P)`
    B
    `(3P)/(B)`
    C
    `(P)/(3B)`
    D
    `(P)/(B)`
  • A material has normal density rho and bulk modulus K . The increase in the density of the material when it is subjected to an external pressure P from all sides is

    A
    `P//rhoK`
    B
    `K//rhoP`
    C
    `rhoP//K`
    D
    `rhoK//P`
  • The adiabatic Bulk modulus of a perfect gas at pressure is given by

    A
    `P`
    B
    `2P`
    C
    `P/2`
    D
    `lambdaP`
  • Similar Questions

    Explore conceptually related problems

    Terminal velocity (V) of a spherical object varies with a radius of object (r) -

    The isothermal Bulk modulus of an ideal gas at pressure P is

    A uniform cube is subjected to volume compression. If each side is decreased by 2% , then bulk strain is

    A uniform cube is subjected to volume compression. If each side is decreased by 1% , then bulk strain is

    A uniform cube is subjected to volume compression. If each side is decreased by 1 % then bulk strain is