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  4. Unit and Measurement Chapter-Wise Test 3

Unit and Measurement Chapter-Wise Test 3

Correct answer Carries: 4.

Wrong Answer Carries: -1.

Which of the following is not a derived unit?

Derived units are formed by combining base units. Base units are fundamental and independent.

Newton (N)
Joule (J)
Watt (W)
Kilogram (kg)
4

The number of base quantities in the International System of Units (SI) is:

The SI system has seven base quantities: length, mass, time, electric current, temperature, amount of substance, and luminous intensity.

5
6
7
8
3

The dimensional formula for pressure is:

Pressure is defined as force per unit area: \( P = \frac{F}{A} \).

Force has the formula \([MLT^{-2}]\) and area \([L^2]\), so pressure becomes \([ML^{-1}T^{-2}]\).

\([ML^{-1}T^{-2}]\)
\([MLT^{-2}]\)
\([ML^2T^{-2}]\)
\([ML^{-2}T^{-1}]\)
1

The SI unit of thermodynamic temperature is:

The base unit of thermodynamic temperature in the SI system is the Kelvin (K).

Celsius
Kelvin
Fahrenheit
Rankine
2

The order of magnitude of the diameter of a hydrogen atom (approx \(1.06 \times 10^{-10}\) m) is:

The order of magnitude is the nearest power of 10: \(1.06 \times 10^{-10}\) m rounds to \(10^{-10}\).

\(10^{-8}\)
\(10^{-9}\)
\(10^{-10}\)
\(10^{-11}\)
3

Which one of these quantities has a different dimension from the others?

Work, energy, and torque share the same dimensional formula \([ML^2T^{-2}]\), while pressure is \([ML^{-1}T^{-2}]\).

Work
Energy
Torque
Pressure
4

How many significant figures are there in the measurement \(0.023080\)?

Leading zeros are not significant. The significant digits here are 2, 3, 0, 8, 0 — a total of 5.

3
4
5
6
5

Dimensional analysis can be used to:

Dimensional analysis is useful for checking the correctness of equations, converting units, and deriving formulas.

Check the correctness of physical equations
Derive relationships between physical quantities
Convert units
All of the above
4

The SI unit of luminous intensity is:

The base unit of luminous intensity in the SI system is the candela (cd).

Lux
Lumen
Candela
Watt
3

The dimensional formula of acceleration is:

Acceleration is the rate of change of velocity with time: \([LT^{-1}]/[T] = [LT^{-2}]\).

\([LT^{-1}]\)
\([LT^{-2}]\)
\([L^2T^{-1}]\)
\([MT^{-2}]\)
2

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