Question

find the dimensions of mgh
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Answer 1

Given

• mgh

To Find

• Dimensional formula

✭ According to the Question :

⇒ mgh = Mass × Acceleration (gravitational) × Height

Dimension of Acceleration :

• Unit of acceleration is m/s²

⇒ Acceleration = Length × Time⁻²

⇒ Acceleration = [M⁰L¹T⁻²]

So then the dimensional formula of mgh is,

⇒ mgh = [M¹] × [L¹T⁻²] × [L¹]

⇒ Dimensional formula = [M¹L²T⁻²]

∴ The Dimensional formula of mgh is [M¹L²T⁻²]

Answer 2

Explanation:

topic :

• dimension

given :

• dimensions of mgh

to find :

• find the dimensions of mgh

solution :

• gravitational = force × length /mass

• dimensional of force = M1 L1 T-2

• gravitational = M1 L1 T-2 × L / m

• dimensional formula of gravitational = M1 L1 T-2