1 `J//s` is equivalent to `n erg//s` where n is

1 J/s equivalent to n erg/s where n is

1 erg is equivalent to

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

prod_(j=1)^(n-1)(1-e^(((2 ipi j)/(n)))) is equal to : (where i=sqrt(-1) )

Let" "S_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) (where n in N) is equal to: (S_(k))^(-1) denotes the inverse of matrix S_(k)

Let S be the infinite sum given by S sum_(n rarr0)^(oo)(a_(n))/(10^(2n)) where (a_(n))_(n>=0) is a sequence defined by a_(0)=a_(1)=1 and a_(j)=20a_(j-1)-108a_(j-2) for s is expressed in the form (a)/(b), where a,b are coprime positive integers,then a equals