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qUESTIONS

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be [2015]

If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as [η^xρ^yr^z], where η, ρ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then values of x, y and z are given by [2015]

You measure two quantities as A = 1.0 m±0.2m B = 2.0m±0.2m we should report correct value for √AB as

Measure of two quantities along with the precision of respective measuring instrument is A = 2.5ms¯¹ ±0.5ms-1, B=0.10s±0.01s The value of AB will be

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e₁ and e₂ respectively, the percentage error in the estimation of g is

A physical quantity X is given by X = 2k^3l^2/ m√n . The percentage error in the measurements of k, l, m and n are 1%, 2%, 3% and 4% respectively. The value of X is uncertain by

If the error in the measurement of radius of a sphere is 2%, then the error in the of volume of the sphere will be

The constant of proportionality 1/4πεo in Coulomb’s law has the following units

Pressure gradient has the same dimensionas that of

Pascal-second has a dimension of

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