# Suppose the displacement of a particle is related to a time according to expression S=ct3(cube) .what are the dimensions of the constant c.

2
by Rubiee

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by Rubiee

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The dimensions of S is L,time is t given s=ct^3 c=St^-3

c=LT^-3

c=LT^-3

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According to dimensional analysis.

the dimension of LHS and RHS should be same.

S = L

so, ct³ =[ L]

⇒c T³= L

⇒**c =[L T^(-3)]**

where L is for length, T for time and M for mass

the dimension of LHS and RHS should be same.

S = L

so, ct³ =[ L]

⇒c T³= L

⇒