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A magnet is suspended in such a way that...

A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is `30^(@)` and 15 oscillations minute at a place where dip angle is `60^(@)`. The ratio of total earth's magnetic field at the two places is

A

`3sqrt(3):8`

B

`16:9sqrt(3)`

C

`4:9`

D

`2sqrt(3) :9`

Text Solution

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The correct Answer is:
B
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A magnet oscillating in a horizontal plane, has a time period of 3 seconds at a place where the angle of dip is 30^(@) and 4 seconds at another place, where the dip is 60^(@) . Compare the resultant magnetic field at the two places.

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Knowledge Check

  • A magnet oscillating in a horizontal plane has a time period of 2 seconds at a place where the angle of dip is 30^(@) and 3 seconds at another place where the angle of dip is 60^(@) . The retio of resultant magnetic field at the two places is

    A
    `(4sqrt(3))/7`
    B
    `4/(9sqrt(3))`
    C
    `4/(4sqrt(3))`
    D
    `9/sqrt(3)`

  • At a place where angle of dip is 45^(@) , a magnet oscillates with 30 oscillations per minute. At another place where angle of dip is 60^(@) , the same magnet makes 20 oscillations per minute The ratio of total magnetic fields at the two places is

    A
    `3sqrt(2) : 2`
    B
    `9:4`
    C
    `4:9`
    D
    `9sqrt(2) : 4`

  • A magnet freely suspended in a vibration magnetometer makes 10 oscillations per minute at a place A and 20 oscillations per minute at a place B. If the horizontal component of earth's magnetic field at A is 36xx10^(-6)T , then its value at B is

    A
    `36xx10^(-6)T`
    B
    `72xx10^(-6)T`
    C
    `144xx10^(-6)T`
    D
    `288xx10^(-6)T`

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    A magnet suspended so as to swing horizontally makes 50 vibrations per minutes at a place where dip is 30^(@) ,and 40 vibrations where sip is 45^(@) . Compare the earth's total fields at the two places.

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    If the angle of dip at two places are 30^(@) and 45^(@) respectively, then the ratio of horizontal components of earth's magnetic field at the two places will be

    A magnet freely suspended in a vibration magnetometer makes 40 oscillation per minute at a place A snf 20 oscillations per min at a place B . If the horizontal component of earth's magnetic field at A is 36xx10^(-6)T , then its value at 'B' is

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