What are the dimensions of a&b …
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Posted by Princess Aslam 8 years, 1 month ago
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Kritika Trehan 8 years, 1 month ago
{tex}\begin{array}{l}F\;=\;a+\;bx\\Since\;a\;is\;connected\;by\;addition\;symbol\;so\;a\;has\;dimension\;same\;as\;F\\\lbrack F\rbrack=\;\lbrack a\rbrack\;=\;\lbrack MLT^{-2}\rbrack\\let\;\lbrack b\rbrack\;=\;\lbrack M^xL^yT^z\rbrack\\Again\;bx\;has\;dimension\;of\;F\\\lbrack F\rbrack\;=\;\lbrack b\rbrack\lbrack x\rbrack\\=\;>\;\lbrack MLT^{-2}\rbrack\;=\;\lbrack M^xL^yT^z\rbrack\lbrack L\rbrack\\=>\;\lbrack MLT^{-2}\rbrack\;=\;\lbrack M^xL^{y+1}T^z\rbrack\\comparing\;the\;powers\;of\;M,L\;and\;T\\x=1\\y+1=1\\=>\;y=0\\z=-2\\so\;\lbrack b\rbrack\;=\;\lbrack M^xL^yT^z\rbrack=\;\lbrack M^1L^0T^{-2}\rbrack\;\\\lbrack b\rbrack=\;\lbrack M^1T^2\rbrack\end{array}{/tex}
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