Question

convert 5 joule into ergs and 5N into dynes​

Answer 1

Explanation:

First of all we have to write the dimensional formula of joule.

Dimensional formula of joule is

n1 = 1

M1 = 1 kg

M2 = 1 gm

L1 = 1 m

L2 = 1 cm

T1 = 1 sec

T2 = 1 sec

Let n1 be the number of joule and n2 be the number of erg.

n1 [M₁¹L₁²T₁⁻²] = n2 [M₂¹L₂²T₂⁻²]

On dividing both sides by [M₂¹L₂²T₂⁻²].

n1 [M₁¹L₁²T₁⁻²] / [M₂¹L₂²T₂⁻²] = n2

n2 = n1 [M₁¹L₁²T₁⁻²] / [M₂¹L₂²T₂⁻²]

On Separating same term