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Vernacular Audio & Solution Medium:
Physics • Class 10 Optics
IEPL Audio Master

Optics: Step-Wise Cartesian Sign Convention

0:14 / 1:30
EM

Dr. Vikram Malhotra (Ex-CBSE Chief Evaluator)

Senior Faculty • 22 Years Board Paper Setting Experience

Teacher Note (ENGLISH): Mastering the mirror formula requires flawless step notation. Notice how applying -v/u immediately locks in +1.5 marks before calculating final focal length.
Audio available across all 7 regional languages in the student portal.
Sample Question (3.5 Marks) PYQ Frequency: ★★★★★

A concave mirror produces a real inverted image 3 times magnified at 30 cm in front of it. Calculate the focal length (f) and position of the object (u) using step-wise cartesian sign convention.

Step 01 • Givens & Sign Convention +1.0 Mark
Given: m = -3 (real & inverted), v = -30 cm, u = ?, f = ?
Step 1: Proper Cartesian sign convention statement + Diagram mapping.
Step 02 • Formula Substitution +1.5 Marks
m = -v / u => -3 = -(-30) / u => -3 = 30 / u => u = -10 cm
Step 2: Mirror magnification formula substitution with signs.
Step 03 • Final Boxed Value & SI Unit +1.0 Mark
1/f = 1/v + 1/u = 1/(-30) + 1/(-10) = (-1 - 3)/30 = -4/30 => f = -7.5 cm
Step 3: Mirror formula calculation & final boxed focal length with SI units.
Where 84% Of Students Lose Marks:
84% students forget to put negative sign for real image magnification (m = -3), losing 1.5 critical step-marks.