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- A valid, but probably useless, dimensionless group is givenby (μT0g)/ (YLα) , where everything has its usual meaning,except α . What are the dimensions of α ?( a ) θL-1T-1 , ( b ) θL-1T-2 , ( c ) θML-1 , ( d ) θ-1LT-1 ,( e ) θLT-1If | jm > is an eigenstate of 1², then its eigenvalue is j(j+1)ħ², Z True False#3:
- The Taylor expansion of the function In(cosh x), where x is real, about the point x = 0 starts with the following terms: 1 4 (a) x² + X +.... (b) = x² - 1/2x¹² +.. 2 (c) (1) 1/1 + +... - + 1 6 + 6(5) When variables p, V,T are related by F(p, V,T) = 0, show the following: (a) ),- = 1/), ƏT V др (b) ),+), ), = 0 ƏT ),H,O, = -1 (Chain relation) (c) T