Physics Quiz: Units & Dimensions

Which of the following quantity is unitless?

• Force gradient

• Velocity gradient

• Pressure gradient

• Displacement gradient

The fundamental unit which has the same power in the dimensional formula of surface tension and co-efficient of viscosity is

• None

• Length

• Mass

• Time

The ratio of one micron to one nanometre is

• 10^-6

• 10^-1

• 10^-3

• 10^3

Temperature can be expressed as a derived quantity in terms of which of the following?

• Length and mass

• Mass and time

• None of these

• Length, mass, and time

Which of the following is not the unit of time?

• Parallactic second

• Lunar month

• Leap year

• Micro second

What is the least count of the callipers?

• 0.01 cm

• 0.02 cm

• 0.05 cm

• 0.005 cm

The correct measurement of the diameter of a wire using a screw gauge with least count 0.001 cm is:

• 5.3 cm

• 5.32 cm

• 5.3200 cm

• 5.320 cm

Which two of the following five physical parameters have the same dimensions?

• Energy density, Young's modulus

• Dielectric constant, Refractive index

• Energy density, Dielectric constant

• Refractive index, Magnetic field

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

• 4%

• 2%

• 6%

• 8%

If the dimensions of a physical quantity are given by M^a L^b T^c, then the physical quantity will be:

• Force if a = 0, b = -1, c = -2

• Pressure if a = 1, b = -1, c = -2

• Velocity if a = 1, b = 0, c = -1

• Acceleration if a = 1, b = 1, c = -2