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A closed tube in the form of an equilate...

A closed tube in the form of an equilateral triangle of side `l` contains equal volumes of three liquids which do not mix and is placed vertically with its lowest side horizonta. Find 'x' in the figure if the densities of the liquids are in `A.P`.

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Knowledge Check

  • A glass tube int the form of an equilateral triangle of uniform cross-section is as shown in figure. It lies in the vertical plane, with base horizontal . The tube is filled with equal volumes of three immiscible liquid whose densities are in arithmetic progession. Determine the length x as shown in figure

    A
    3 l
    B
    2 l
    C
    l/3
    D
    l/2

  • When equal volumes of three liquids of densities p_1, p_2, p_3 are mixed then the resultant density of the mixture will be:

    A
    `(p_(1)+p_(2)+p_(3))/(3)`
    B
    `(p_(1)+p_(2)+p_(3))/(6)`
    C
    `(p_(1)^2+p_(2)^2+p_(3)^2)/(6)`
    D
    `p_(1)+p_(2)+p_(3)`

  • Three point charges q are placed at three vertices of an equilateral triangle of side a. Find magnitude of electric force on any charge due to the other two.

    A
    `(sqrt3/(4piepsilon_0))(q/a)^2`
    B
    `(sqrt2/(4piepsilon_0))(q/a)^2`
    C
    `(sqrt3/(4piepsilon_0))(q/(2a))^2`
    D
    `(sqrt2/(4piepsilon_0))((2q)/a)^2`

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    5.What will be the area of an equilateral triangle, if its side is of 'x' unit? 6.Find the ratio of surface Area and volume of the sphere of unit radius.

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