Question

A 100 m tape is held 1m out of line then the true lenght is

Answer 1

Step-by-step explanation:

$after \: appling \: the \: correction \: for \: incorrect \: alignment \: is \: dx \frac{d}{2l} \\ \\ where \: d = 1m \: and \: l = 100m \\ \\ so \: true \: length = 100 - 0.005 = 99.995.$

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Answer 2

True length(l) = 99.9meters

GIVEN:

Designated length of tape - 100 meter

Length of tape out of line = 1 meter.

TO FIND:

True length

SOLUTION:

We can simply solve the above problem as follows-

we know that,

Correction due to the wrong alignment,

$C = \frac{ {d}^{2} }{2 \times l}$

d = difference due to the wrong alignment.

L = Designated length

l = true length of the tape.

we know that,

correction due to the wrong alignment is always negative.

True length = Designated length - correction

Putting the values in the above formula we have,

$C = \frac{ {1}^{2} }{1 \times 100}$

C = 0.01

True length(l) = 100-0.01 = 99.9meters

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