Units and Measurement

Which one of the following represents the correct dimensions of the coefficient of viscosity?

• ML⁻¹ T⁻²

• MLT⁻¹

• ML⁻¹ T⁻¹

• ML⁻¹ T⁻¹

When the voltage and current in a conductor are measured as (100 ± 4) V and (5 ± 0.2) A, then the percentage of error in the calculation of resistance is

• 8 %

• 4 %

• 20 %

• 10 %

The set of physical quantities among the following which are dimensionally different is

• terminal velocity, drift velocity, critical velocity

• potential energy, work done, kinetic energy

• dipole moment, electric flux, electric field

• distintegration constant, frequency, angular velocity

The physical quantity that does not have the dimensional formula [ML^-1T^-2] is

• force

• pressure

• stress

• modulus of elasticity

A dorce F is applied onto a square plate of side L. If the percentage error in determining L is 2 % and that in F is 4 %, the permissible percentage error in determining the pressure is

• 2 %

• 4 %

• 6 %

• 8 %

In a simple pendulum experiment, the maximum percentage error in the measurement of length is 2% and that in the observation of the time-period is 3%. Then, the maximum percentage error in determination of the acceleration due to gravity g is

• 5 %

• 6 %

• 7 %

• 8 %

The pitch and the number of circular scale divisions in a screw gauge with least count 0.02 mm are respectively

• 1 mm and 100

• 0.5 mm and 50

• 1 mm and 50

• 0.5 mm and 100

The quantity which has the same dimensions as that of gravitational potential is

• latent heat

• impulse

• angular acceleration

• Planck's constant

The percentage error in measuring M, L and T are 1 %, 1.5% and 3% respectively. Then the percentage error in measuring the physical quantity with dimensions [ML^-1 T^-1] is

• 1 %

• 3.5 %

• 5.5 %

• 4.5 %

The displacement of a particle moving along x-axis with respect to time t is x = at + bt² − ct³. The dimensions of c are

• [T^-3]

• [LT^-2]

• [LT^-3]

• [LT³]