Dimensional formula of young's modulus

Young's modulus
[M L−1 T−2]
Written in full: [M¹ L⁻¹ T⁻² A⁰ K⁰]

How to derive it

Young's modulus = Stress ÷ Strain (strain has no dimensions)

Put in the dimensions of each part: [ML⁻¹T⁻²] ÷ [M⁰L⁰T⁰] = [M L⁻¹ T⁻²].

mass (M)
1
length (L)
-1
time (T)
-2
current (A)
0
temperature (K)
0

SI unit

The SI unit of young's modulus is pascal (Pa).

Same dimensions as young's modulus

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Elasticity

QuantityFormula
Compressibility[M−1 L T2]
Strain[M0 L0 T0]