Units and Measu...

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed?

The random error in the arithmetic mean of 100 observation is x; then random error in the arithmetic mean of 400 observation would be

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree (= 0.5^o), then the least count of the instrument is

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further it is found that the screw gauge has zero error of –0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

Te mean time period of second\'s pendulum is 2.00 s and mean absolute error in the time period is 0.05 s. To express maximum estimate of error, the time period should be written as

A body travels uniformly a distance of (13.8 ± 0.2) m in a time (4.0 ± 0.3) s. The velocity of the body within error limits is

The percentage error in the above problem is

The unit of percentage error is

A thin copper wire of length l metre increases in length by 2% when heated through 10^oC. What is the percentage increases in area when a square copper sheet off length l metre is heated through 10^oC?