MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Error and Uncertainty

A 30 m chain ...

Question

A 30 m chain used to measure the length of a line was tested before the line was measured and found to be 29.95 m long. The line was measured and length was recorded as 590.48 m. The chain was tested again and found to be 30.08 m long. Find the true length of the line(in m)
590.78

Open in App

Solution

The correct option is A 590.78
The length of the chain would have changed gradually during measurement and hence the average length of the chain must be used to find the true length.

The average length of the chain

$(\frac{29.95 + 30.08}{2}) = 30.015 m$

$T r u e l e n g t h = M e a s u r e d l e n g t h \times \frac{A c t u a l l e n g t h}{D e s i g n a t e d l e n g t h}$

$= 590.48 \times \frac{30.015}{30} = 590.78 m$

Suggest Corrections

thumbs-up

5

Similar questions

Q. The length of a survey line was measured with a 20 m chain and was found to be equal to 1200 m. As a check, the length was again measured with a 25 m chain and was found to be 1212 m. On comparing the 20 m chain with test gauge length, It was found to be 1 decimeter too long. The 25 m chain was _______ cm too short.

Q. A survey line was measured to be 285.5 m with a tape having a nominal length of 30 m. On checking, the true length of the tape was found to be 0.05 m too short. If the line lay on a slope of 1 in 10, the reduced length (horizontal length) of the line for plotting of survey work would be

Q. A distance of 2000m was measured by 20m chain, Later on it was detected that the chain was 0.1 m too long. Another 1000m (i.e. total 3000 m) was measured and it was detected that the chain was 0.20 m too long. If the length of the chain in the initial stage was correct, then the exact length that was measured is __________.
(Report the answer in m, correct upto two decimal places)

Q. A 20 m chain was found to be 10 cm too long after chaining a distance of 1000 m. It was found to be 18 cm too long at the end of the day's work after chaining a total distance of 2000 m. What is the true distance if the chain was correct before the commencement of the day's work?

Q. A plan of an old survey plotted to a scale of 10 m to 1 cm carried on a note stating that the chain having nominal length 30 m was 20 cm too short. It was also found that plan has shrunk so that a line originally 10 cm long was 9.69 cm. The area of the plot on the available plan was found to be

60 c m^{2}

. The correct area of the plot is _______ ha.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Error and Uncertainty

PHYSICS

Watch in App

explore_more_icon

Explore more

Error and Uncertainty

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon