Home / Physics / Dimensions of Power of Lens - Explanation and Derivation

Dimensions of Power of Lens - Explanation and Derivation

Last Updated on Jul 31, 2023
Download As PDF
IMPORTANT LINKS
Branches of Physics Murphys Law Weightlessness Braille Humidity The International System of Units Measurement of Speed Spherometer Micrometer Sonometer Difference Between Mass and Volume Unit of Mass Difference Between Density and Volume Density of Air Relation Between Pascal and Bar Impulse Units Relation Between Calorie and Joule Difference Between Kva and Kw Unit of Pressure Relation Between Pressure and Density

Dimensional Formula for Lens Power

Let's explore the dimensional formula of the Power of Lens. The formula is represented as follows,

M 0 L -1 T 0

In this formula,

  • M stands for Mass,
  • L represents Length,
  • T denotes Time.

The Process of Derivation

The Power of Lens, represented as (D), is inversely proportional to the Focal Length, i.e., D = Focal Length -1 . . . (1)

The dimensional formula of the focal length is [M 0 L 1 T 0 ] . . . . (2)

When we substitute equation (2) in equation (1), we get,

Power of Lens = Focal Length -1

Or, D = [M 0 L 1 T 0 ] -1 = [M 0 L -1 T 0 ].

Thus, the power of a lens can be dimensionally represented as [M 0 L -1 T 0 ].

Further Reading: Other Dimensional Formulas

More Articles for Physics

Frequently Asked Questions

The dimensional formula of Power of Lens is M^0 L^-1 T^0.

The dimensional formula of Power of Lens is derived by substituting the dimensional formula of focal length in the equation of Power of Lens which is equal to the inverse of focal length.

Test Series
132k Students
NCERT XI-XII Physics Foundation Pack Mock Test
323 TOTAL TESTS | 5 Free Tests
  • 3 Live Test
  • 163 Class XI Chapter Tests
  • 157 Class XII Chapter Tests
Get Started
Report An Error
Exams Tests Super Practice