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

In a measurement, random error

• can be decreased by increasing the number of readings and averaging them

• can be decreased by changing the person who takes the reading

• can be decreased by using new instrument

• can be decreased by using a different method in taking the reading

In order to measure the period of a single pendulum using a stop clock, a student repeated the experiment for 10 times and noted down the time period for each experiment as 5.1, 5.0, 4.9, 4.9, 5.1, 5.0, 4.9, 5.1, 5.0, 4.9 s. The correct way of expressing the result for the period is

• 4.99 s

• 5.0 s

• 5.00 s

• 4.9 s

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