JEE (Advanced) 2009 Paper-2

For a first order reaction $$A \rightarrow P$$, the temperature (T) dependent rate constant (k) was found to follow the equation $$\log k = -(2000)\frac{1}{T} + 6.0$$. The pre-exponential factor A and the activation energy $$E_a$$, respectively, are

The spin onlyimoment value (in Bohr magneton units) of $$Cr(CO)_6$$ is

In the following carbocation, $$H/CH_3$$ that is most likely to migrate to the positively charged carbon is

The correct stability order of the following resonance structures is

For the reduction of $$NO_{3}^{-}$$ ion in an aqueous solution, $$E^0$$ is +0.96 V. Values of $$E^0$$ for some metal ions are given below
$$V^{2+}(aq) + 2e^{-} \rightarrow V$$ $$E^0 = -1.19$$ V
$$Fe^{3+}(aq) + 3e^{-} \rightarrow Fe$$ $$E^0 = -0.04$$ V
$$Au^{3+}(aq) + 3e^{-} \rightarrow Au$$ $$E^0 = +1.40$$ V
$$Hg^{2+}(aq) + 2e^{-} \rightarrow Hg$$ $$E^0 = +0.86$$ V
The pair(s) of metals that is(are) oxidized by $$NO_{3}^{-}$$ in aqueous solution is(are)

Among the following, the state function(s) is(are)

In the reaction
$$2X + B_2H_6 \rightarrow [BH_2(X)_2]^{+}[BH_4]^{-}$$
the amine(s) X is (are)

The nitrogen oxide(s) that contain(s) N-N bond(s) is(are)

The correct statement(s) about the following sugars X andY is(are)

Figure

Match each of the reactions given in Column I with the corresponding product(s) given in Column II.