Shortcut Methods
JEE Main
1. The absolute error in the measurement is half of the smallest division on the meter rule, which is 0.05 cm.
2. The relative error in the measurement is the absolute error divided by the measured value, which is:
(0.0025 g) / (50.025 g) = 5 × 10-5
3. The percentage error in the measurement is the relative error multiplied by 100%, which is:
(5 × 10-5) × 100% = 0.005%
CBSE Board Exams
1. The percentage uncertainty in the measurement is the uncertainty divided by the measured value, multiplied by 100%, which is:
(0.1 cm) / (20.3 cm) × 100% = 0.5%
2. The percentage uncertainty in the measurement is the uncertainty divided by the measured value, multiplied by 100%, which is:
(5 g) / (1000 g) × 100% = 0.5%
3. The percentage uncertainty in the measurement is the uncertainty divided by the measured value, multiplied by 100%, which is:
(1 minute) / (2 hours × 60 minutes) × 100% = 0.083%