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v=at+b/(c+t) find out dimension of a,b &...

`v=at+b/(c+t)` find out dimension of a,b & c
v=velocity `=M^0L^1T^-1`, t=time `=M^0L^0T^1`

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From Homogeneity of equation `at=M^0LT^-1`thereforea=`M^0L^1T^-2`l
`b/(c+t)=M^0L^1T^-1` Now c is added with t
`c=M^0L^T^1`
`b/(M^0L^0T^1)=M^0L^1T^1`therefore `b=M^0L^1T^0` To establish the relation among various physical quantities if we know the factors on which a given physical quantity may depend
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