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If force (F) and density (d)are related as F = alpha (symbol)/ ((root) beta + d^2). The find the dimensions of alpha . Beta (alpha x beta). If force (F) and density (d)are related as F = alpha (symbol)/ ((root) beta + d^2). The find the dimensions of alpha . Beta (alpha x beta).
F = alpha (symbol)/ ((root) beta + d^2 so dimensions of root(beta) should be same as d2 dimensions of root(beta) are m2 and that of beta are m4 i.e., L4 dimensions of alpha is same as F.d2 i.e., N-m2 dimensions of alpha.beta are N-m6 i.e., ML7T-2
F = alpha (symbol)/ ((root) beta + d^2
so dimensions of root(beta) should be same as d2
dimensions of root(beta) are m2 and that of beta are m4 i.e., L4
dimensions of alpha is same as F.d2 i.e., N-m2
dimensions of alpha.beta are N-m6 i.e., ML7T-2
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