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The dimension of (a)/(b) in the equation...

The dimension of `(a)/(b)` in the equation `p=(a-t^(-2))/(bx)` where P is pressure, x is distance and t is time are ---------------?

Text Solution

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`p=(a-t^(2))/(bx)`
`rArr pbx=a-t^(2)`
`rArr [pbx]=[a]=[T^(2)]`
or `[b]=([T^(2)])/([p][x])=([T^(2)])/([ML^(-1)T^(-2)])=[M^(-1)T^(4)]`
`:. " " [(a)/(b)]=([T^(2]])/([M^(-1)T^(4)])=[MT^(-2)]`
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