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The focal length of a mirror is given by...

The focal length of a mirror is given by `1/v-1/u=2/f`. If equal errors `alpha` are made in measuring u and v. Then relative error in f Is

A

`2/alpha`

B

`alpha(1/u+1/v)`

C

`alpha(1/u-1/v)`

D

`3/alpha`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The focal length of a mirror is given by 2/f=1/v-1/u . In finding the values of u and v, the errors are equal to 'p'. Then, the relative error in f is

    A
    `p/2(1/u+1/v)`
    B
    `p/2(1/u+1/v)`
    C
    `p/2(1/u-1/v)`
    D
    `p(1/u-1/v)`

  • The focal length of a mirror is given by 2/f=1/v=-1/u . In finding the values of u and v, the errors are equal and equal to 'p'. Then the relative error in f is

    A
    `p/2(1/u+1/v)`
    B
    `p(1/u+1/v)`
    C
    `p/2(1/u-1/v)`
    D
    `p(1/u-1/v)`

  • If S=(1//2)ab""sinC and alpha is the error in C then, relative error in S is

    A
    `alphacotC`
    B
    `alphasinC`
    C
    `alphatanC`
    D
    `alphacosC`

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