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An electric lamp hangs 3 m above one end...

An electric lamp hangs 3 m above one end of a table, which is 4 m long. Compare the intensity of illumination at the two ends of the table.

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The correct Answer is:
`4.6:1`
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If anelectric lamp be suspended at a height h from a circular table of radius r, prove that the intensity of illumination at thecentre of the table is (1+(r^(2))/(h^(2)))^(3//2) times that at the edge of the table.

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Knowledge Check

  • A lamp is hanging 1 m above the centre of a circular table of diameter 1 m . The ratio of illuminaces at the centre and the edge is

    A
    `(1)/(2)`
    B
    `((5)/(4))^((3)/(2))`
    C
    `(4)/(3)`
    D
    `(4)/(5)`
  • A 60 watt bulb is hung over the center of a table 4 m xx 4 m at a height of 3 m . The ratio of the intensities of illumination at a point on the centre of the edge and on the corner of the table is

    A
    `(17//13)^(3//2)`
    B
    `2//1`
    C
    `17//13`
    D
    `5//4`
  • A small lamp is hung at a height of 8 feet above the centre of a round table of diameter 16 feet . The ratio of intensities of illumination at the centre and at points on the circumference of the table will be

    A
    `1 : 1`
    B
    `2:1`
    C
    `2sqrt(2):1`
    D
    `3:2`
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