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A wire of length l is cut into two parts...

A wire of length l is cut into two parts. One part is bent into a circle of radius r and other part into a square of side x. The sum of areas of circle and square is least, if

A

`r=x`

B

`r=3x`

C

`r=(x)/(3)`

D

`r=(x)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The area of a square made in a circle of radius r is

    A
    `pi r^2`
    B
    `3r^2`
    C
    `2r^2`
    D
    `4r^2`

  • The radius of a circle is a side of a square. The ratio of the areas of the circle and the square is

    A
    `1 : pi`
    B
    `pi :1`
    C
    `pi :2`
    D
    `2 :pi`

  • A wire of length l, carrying current i, is bent in circle of radius r, then magnetic momennt at centre of loop is

    A
    `(l^(2)i)/(2pi)`
    B
    `(l^(2)i)/(4pi)`
    C
    `(li^(2))/(2pi)`
    D
    `(li)/(4pi)`

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