The Young's modulus  Y is determined by stretching a wire by using the formula
Channel: Doubtnut
Date: 2021-11-08

The Young's modulus  Y is determined by stretching a wire by using the formula ,  `Y = (4FL)/(pi d^(2)l)`where F is the streching force , L is length of wire , l is extension in length and d is its diameter . If F is of the order of 500 N and known to 1 part in 1000 L , is of the order of 3 m and measured with an accuracy of 1 mm , l is of the order of 5 mm measured to `0.1` mm and d is of the order of 1 mm measured correct upto `0.01` mm , estimate the percentage error in the measurement of Y .