1.2% of 47.7 is approximately 0.5724, which rounds to 0.6, giving 47.7 ± 0.6 cm^3.
304
The length l, breadth b and thickness t of a block are measured with the help of a metre scale. Given: l = 15.12 ± 0.01 cm, b = 10.15 ± 0.01 cm, t = 5.28 ± 0.01 cm. The percentage error in volume is
Calculation in the solutions gives RD = 5.00 with a percentage uncertainty of ±11%, so 5.00 ± 11%.
306
A quantity y is related to another quantity x by the equation y = k x^a where k and a are constants. If percentage error in the measurement of x is p, then that in y depends upon
Maximum error is half the least count: half of 1 mm is 0.5 mm.
308
The period of oscillation of a simple pendulum in an experiment is recorded as 2.56 s, 2.42 s, 2.53 s, 2.71 s, 2.80 s respectively. The mean absolute error is
Mean = 2.604 s; average absolute deviation = (|2.56−2.604|+...+|2.80−2.604|)/5 ≈ 0.1208 s, closest option 0.11 s.
309
One side of a cubical block is measured with the help of a vernier callipers of vernier constant 0.01 cm. This side comes out to be 1.23 cm. What is the percentage error in the measurement of area?