Physics, asked by sanjeshpatel2894, 10 months ago

what is the dimensions of a/b in the relation F=ax+bt.​

Answers

Answered by Anonymous
6

f = a√x + bt2, where [f] = [M L T −2], [x] = [L] and [t] = [T].

LHS is force. So both the terms on the RHS have the dimensions of force.

[f] = [a√x] = [bt2]

[f] = [a√x]

[M L T −2] = [a L½]

⇒ [a] = [M L½ T −2]

[f] = [bt2]

[M L T −2] = [b T2]

⇒ [b] = [M L T−4]

[a]/[b] = [M L½ T −2]/[M L T−4] = [M0 L−½ T2]

Therefore [a/b] = [M0 L−½ T2]

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