Question

A force on body depends on time t as F=mt+nt^2.The dimensions of m/n is.

Answer 1

$heya$


Here's ur ans. ⤵ ✌



↪ Dimensions of mt and nt^2 must be equal as they are being added

Dimension of ( mt ) = Dimension of ( nt^2)

m = n × time

m / n = t


Therefore dimension of m / n is second (time)


Hope it helps

Answer 2

Hey mate here is your answer

According to the rule of dimension analysis,
we know that when 2 equation are added or subtracted in the given equation then that 2 equation will have same dimensional formula

Therefore,
dimension formula of (mt) = dimension formula of (nt^2)
by solving this we get ,
m = nt
m÷n = t = [T]

I hope it will help you
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