((dG)/(d_(p)))_(T)=

((dG)/(dp))_(T)=

((dG)/(dp))_(T)=

A radioactive substance (parent) decays to its daughter element . The age of radioactive substance (t) is related to the daughter (d)/parent (p) ratio by the equation : a) t=(1)/(lambda) "In" (1+(p)/(d)) b) t=(1)/(lambda) "In" (1+(d)/(p)) c) t=(1)/(lambda) "In" ((d)/(p)) d) t=(1)/(lambda) "In" ((p)/(d))

For the homogenous gaseous reaction Ato3B , if pressure after time t was P_(t) and after completion of reaction, pressure was P_(oo) then select correct relation a) k=(1)/(t)"ln"((P_(oo))/(3(P_(oo)-P_(t)))) b) k=(1)/(t)"ln"((2P_(oo))/((P_(oo)-P_(T)))) c) k=(1)/(t)"ln"((3P_(oo))/(2P_(oo)-P_(t))) d) k=(1)/(t)"ln"((P_(oo))/(3(P_(oo)-P_(T))))

If the p^(t h)a n d q^(t h) terms of a G.P. are q a n d p respectively, show that (p+q)^(t h) term is ((q^p)/(p^q))^(1/(p-q)) .

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is