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Physics · Units & Dimensions

Units & Dimensions

Tap a card to begin — drag with your finger, build formulas, and watch the ideas move.

01

Fundamental vs Derived

Drag each quantity into the right bucket. Instant feedback, live score.

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02

Scalar vs Vector

Sort quantities by whether direction matters. Catch the tricky ones.

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03

SI Prefix Reference

All 15 prefixes with their powers and real-world anchors — ready to put on the board.

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04

Unit Converter

Type any value — instantly see it in every unit. Length, mass, and time.

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05

The cm² Surprise

How many cm² in 1 m²? Let them guess, then reveal the 10,000-square truth.

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06

Dimension Builder

Dial in the M, L, T powers to build a quantity's dimensional formula.

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07

Dimensional Formulas

Every quantity from mechanics to G, h, and η — revealed one at a time.

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08

Same Dimensions

Work and Torque both [ML²T⁻²]? Reveal each group and see which quantities share a formula.

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09

Error Bar Explorer

Stretch the measurement and its error — watch the percentage error react live.

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Fundamental vs Derived
Drag a card into a bucket — or tap a card, then tap a bucket.
0
Placed

Fundamental

The 7 independent base quantities

Derived

Built from the fundamentals
🎉 All sorted correctly! Well done.
Scalar vs Vector
Drag a card — or tap a card, then tap a bucket. Does direction matter?
0
Placed

Scalar

Magnitude only — no direction

Vector

Magnitude + direction
🎉 Every one correct! Direction mastered.
Dimension Builder
Set the powers of M, L and T to match the quantity.
0
Solved
Build the dimensional formula of
Speed
Your formula
[ M⁰ L⁰ T⁰ ]
MMass 0
LLength 0
TTime 0
The cm² Surprise
A 1-metre square. How many 1-cm squares fit inside?
1 m = 100 cm
1 m = 100 cm

How many cm²
in 1 m²?

Let the class commit to an answer first — then tap it to reveal.

0
cm² squares filling 1 m²
Error Bar Explorer
Same absolute error feels very different at different sizes.
Measurement
50 ± 1.0
Relative error
0.020
Percentage error
2.0%
Unit Converter
Tap any result card to make it the input unit — instantly see all conversions.
Dimensional Formulas
Tap any card to see the full step-by-step derivation.
Basic — from Lecture 2 homework
Core Mechanics
Tricky — JEE favourites
Dimensional Formula
Same Dimensions
Same formula ≠ same quantity. Reveal each group and discuss what makes them different.
0 / 5
SI Prefix Reference
Prefixes are multipliers attached to a unit to express very large or very small quantities without writing long strings of zeros — all 15, with a real-world anchor for each.
0 / 15
Large — positive powers
Small — negative powers
Special Unit — not a prefix, but used everywhere
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