GATE CY 2017 Question Paper (05-Feb-2017) (Shift 1)

For the following three alkenes, 1, 2 and 3, the rates of hydrogenation using Wilkinson's catalyst at $25{}^{\circ }C$ vary in the order

${}^{210}Bi$ undergoes ${\beta }^{-}$ decay to $1/8$ of its initial amount in 15 days. The time required for its decay to $1/4$ of its initial amount is ________ days (up to two decimal places).

The metal ion and the macrocyclic skeleton present in the green pigment of plants, respectively, are

The spinel structure of $MgA{l}_2{O}_4$ has cubic close packed arrangement of oxide ions. The fractions of the octahedral and tetrahedral sites occupied by cations, respectively, are

The diffusion limiting current ($I_d$) at a dropping mercury electrode for an aqueous $Mg(II)$ solution of concentration 'c' (mol $L^{-1}$) is $300\mu A$. If 'c' is increased by $0.1{\text{ mol L}}^{-1}$, $I_d$ increases to $900\mu A$. The value of 'c' (in mol $L^{-1}$) is ________ (up to two decimal places)