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Question: If \(x = a t + b t ^ { 2 }\) , where x is in metres and t in hours (hr), then unit of b will be –...

If x=at+bt2x = a t + b t ^ { 2 } , where x is in metres and t in hours (hr), then unit of b will be –

A

m2/hr\mathrm { m } ^ { 2 } / \mathrm { hr }

B

M

C

m/hr

D

m/hr2\mathrm { m } / \mathrm { hr } ^ { 2 }

Answer

m/hr2\mathrm { m } / \mathrm { hr } ^ { 2 }

Explanation

Solution

[bt2]=[x]⇒[b]=L T−2\left[ \mathrm { bt } ^ { 2 } \right] = [ \mathrm { x } ] \Rightarrow [ b ] = L \mathrm {~T} ^ { - 2 }