The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only ?

The diameter of a cylinder is measured using a vernier callipers with no zero error. It is found that zero of the vernier lies in between 5.10 cm and 5.15 cm of the main scale. The vernier has 50 divisions equivalent to 2.45 cm. The 24th division of the main scale exactly coincides with one of the main scale divisions. the diameter of the cylinder is

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The relative error in the area is

The diameter of a circle found by measuring 5.2 cms with a maximum error 0.05 cms. The maximum error in its area is

The diameter x of a circle is found by measurement to be 5 cm with maximum error of 0.05 cm. The approximate maximum error in the area is

The diameter x of a circle is found by measurement to be 5 cm with maximum error is 0.05 cm. The approximate maximum error in the area is

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter. The diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child find its volume to be 345 cm^3 . Check whether she is correct, taking the above as inside measurements and pi = 3.14

The main scale of vernier callipers has 10 equal divisions in 1 cm and 10 vernier scale divisions coincide with 9 main scale divisions, when both the jaws are in contact. Now, the above instrument is used to measure the external diameter of a cylinder. The 43rd division on the main scale is observed to the left of the zero of the vernier, when the object is held tightly in between the two jaws and the seventh division of the vernier coinsides with a division on the main scale, then