Question

The ratio of CGS to MKS unit of acceleration is
1. 1 : 100
2. 10 : 1
3. 1000 : 1
4. 1 : 1000

Answer 1

Correct Answer - Option 1 : 1 : 100

The correct answer is option 1) i.e. 1: 100

CONCEPT:

• Acceleration is defined as the rate of change of velocity.
  • The SI unit of acceleration is m/s².

Acceleration, a = \(\frac{dv}{dt}\)

Where v is the velocity during the time period t.

• CGS system of units: It is a standard system that measures length in terms of the centimeter, mass in terms of the gram, and time in terms of the second.
• MKS system of units: It is a standard system that measures length in terms of meter, mass in terms of the kilogram, and time in terms of the second.

EXPLANATION:

The unit of acceleration according to:

• CGS system - cm/s²
• MKS system - m/s²

​Ratio = \(\frac{cm/s^2}{m/s^2} = \frac{cm}{m} = \frac{1}{100}\)   (∵ 1 m = 100 cm)