✨ Design Lab • Live Side-by-Side Comparison

Choose Your Mindblowing Typography

Compare all 3 curated visual styles side by side. Each column uses live fonts, real KaTeX formulas, and adapts dynamically to both Dark and Light themes.

Option 1 ⭐ (Recommended)

The Editorial Scholar

Brilliant.org Style
Fonts: Lora Serif (Question) + Outfit (Heading) + Plus Jakarta Sans (Derivations)
Question 2Radius & Focal Length
The radius of curvature of a spherical mirror is 20 cm. What is its focal length?
Step-by-Step Solution
  • •
    Given Information:
    Radius of curvature R=20 cmR = 20\text{ cm}.
  • •
    Formula Application:
    Focal length of a spherical mirror is half its radius of curvature:
Formula Used
f=R2=20 cm2=10 cmf = \frac{R}{2} = \frac{20\text{ cm}}{2} = 10\text{ cm}
Final Answer: The focal length of the mirror is +10 cm.
💡 Exam Tip: Focal length is always half the radius of curvature ($f = R/2$).
Option 2

Silicon Valley STEM

Linear & Raycast Style
Fonts: Outfit Bold (Prompt) + Space Grotesk (Badges) + Plus Jakarta Sans (Derivations)
QUESTION 02#Optics #Mirrors
The radius of curvature of a spherical mirror is 20 cm. What is its focal length?
Step-by-Step Derivation
STEP 1
Given:
Radius of curvature R=20 cmR = 20\text{ cm}.
STEP 2
Apply Formula:
Focal length of a spherical mirror is half its radius of curvature:
⚡ Calculation
f=R2=20 cm2=10 cmf = \frac{R}{2} = \frac{20\text{ cm}}{2} = 10\text{ cm}
✔
RESULT: Focal length is +10 cm.
💡 Pro Tip: For small aperture mirrors, $f = R/2$ holds universally.
Option 3

Satvik Master Class

Topper Notebook Style
Fonts: Plus Jakarta Sans 700 (Sapphire Prompt) + Outfit (Titles) + Kalam (Accents)
QUESTION 2Radius & Focus
The radius of curvature of a spherical mirror is 20 cm. What is its focal length?
✍️Step-by-Step Solution
  • ①
    Given Information:
    Radius of curvature R=20 cmR = 20\text{ cm}.
  • ②
    Formula Application:
    Focal length of a spherical mirror is half its radius of curvature:
Formula Used
f=R2=20 cm2=10 cmf = \frac{R}{2} = \frac{20\text{ cm}}{2} = 10\text{ cm}
Final Answer: The focal length is +10 cm.
💡 Exam Tip: Always double check sign convention (+ for convex, - for concave).

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