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Derive Laplace's law for a spherical mem...

Derive Laplace's law for a spherical membrane.

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Laplace's law for a spherical membrane : In the case of a small spherical drop of radius R, the excess pressure inside the drop is given by `p-p_(0)=(2T)/(R )`, where p is the pressure inside the liquid drop, `p_(0)` is the pressure outside the liquid drop and T is the surface tension of the liquid.
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Knowledge Check

  • STATEMENT-1 The formula connecting u,v and f for a spherical mirrors whose sizes are very small compared to their radii of curvature. STATEMENT-2 Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

    A
    Statement-`1` is True, Statement-`2` is True, Statement-`2` is a correct explanation for Statement -`1`
    B
    Statement-`1` is True, Statement-`2` is True, Statement-`2` is `NOT` a correct explanation for Statement -`1`
    C
    Statement-`1` is True, Statement-`2` is False
    D
    Statement-`1` is False, Statement-`2` is True.

  • STATEMENT- 1 Spherical aberration is a defeat of a spherical mirror,in which not all rays focus at single point. STATEMENT 2 The laws of reflecion are not valid for all rays

    A
    STATEMENT -`1`is true statement `2` is true,Statement -`2`is a correct explanation for statement -`1`
    B
    STATEMENT -`1`is true statement `2` is true,Statement -`2`is a not a correct explanation for statement -`1`
    C
    Statement -`1`is true,Statement -`2`is False
    D
    Statement -`1`is False ,Statement -`2`is True

  • The Laplace’s formula for sound waves is -

    A
    `V = sqrt((P)/(rho))`
    B
    `V = sqrt((gammaP)/(rho))`
    C
    `V = sqrt((rho)/(gammaP))`
    D
    `V = sqrt((P)/(gammarho))`

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    Assertion : Kepler's law for planetary motion are consequence of Newton's laws Reason : Kepler's laws can be derived by using Newton's laws.

    Assertion The formula connecting u, v and f for a spherical mirror is valid only for mirrors sizes which are very small compared to their radii of curvature. Reason Laws of reflection are stricity valid for plane surface, but not for large spherical.

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