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What is the surface energy of a soap bub...

What is the surface energy of a soap bubble of radus r and surface tension T?

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To find the surface energy of a soap bubble of radius \( r \) and surface tension \( T \), we can follow these steps: ### Step 1: Understand the Structure of a Soap Bubble A soap bubble has two surfaces: the outer surface and the inner surface. This means that the total surface area of the soap bubble is twice that of a sphere. ### Step 2: Calculate the Surface Area of the Soap Bubble The surface area \( A \) of a sphere with radius \( r \) is given by the formula: \[ ...
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Knowledge Check

  • Excess pressure inside a soap bubble of radius r and surface tension T is

    A
    `(2T)/r`
    B
    `(4T)/r`
    C
    `T/(2r)`
    D
    `T/(4r)`
  • Surface charge density of soap bubble of radius r and surface tension T is sigma .If P is excess pressure the value of sigma is

    A
    `epsilon_(0)[(4T)/(r)-P]^(3/2)`
    B
    `[2epsilon_(0)((4T)/(r)-P)]^(1/2)`
    C
    `(4T)/(r )`
    D
    `[4epsilon_(0)((2T)/(r)-P)]^(1/2)`
  • Find the work done in increasing the volume of a soap bubble by 700% if its radius is R and surface tension is T?

    A
    `94R^(2)J`
    B
    `94piR^(2)J`
    C
    `94piRJ`
    D
    `4piR^(2)J`
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