Suppose A = BC, where A has the dimension L/M and C has the dimension L/T. Then B has the dimension:
Answer: T/M
Explanation
We are given:
A=B⋅C
Dimensions:
[A]=L/M
[C]=L/T
We want to find [B].
Step 1: Solve for
B:
B=A/C
Step 2: Plug in dimensions:
[B]=[A]/[C]
=L/M/L/T
=L/M⋅T/L=T/M
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