JEE Previous Years Solutions

$$\begin{gathered} \mathrm{Q}. \left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 1\\ 1& 0& 0\end{array}\right]=\mathrm{A}, \mathrm{then} {\mathrm{A}}^{2025}-{\mathrm{A}}^{2020} \\ \mathrm{a}) {\mathrm{A}}^5 \mathrm{b}) {\mathrm{A}}^6 \mathrm{c}) {\mathrm{A}}^6-\mathrm{A} \mathrm{d}) {\mathrm{A}}^5-\mathrm{A} \end{gathered}$$

Q. If the solubility product of AB₂ is 3.20 × 10^-11 M³, then the solubility of AB₂ in pure water is..... × 10^-4 mol L^-1 [Assuming that neither kind of ion reacts with water].

Q. The compound that cannot act both as oxidising and reducing agent is:

(A). H₂SO₃

(B). HNO₂

(C). H₃PO₄

(D). H₂O₂

Q. The redox reaction among the following is:

(A). formation of ozone from atmospheric oxygen in the presence of sunlight

(B). reaction of H₂SO₄ with NaOH

(C). combination of dinitrogen with dioxygen at 2000 K

(D). Reaction of [Co(H2O)₆]Cl₃ withAgNO₃

Q. Match the type of interaction in column A with the distance dependence of their interaction energy in column B:

         A                                                                           B

 (I) ion-ion                                                              (a) 1/r

(II) dipole-dipole                                                 (b) 1/r²

(III) London dispersion                                     (c) 1/r³

                                                                                       (d) 1/r⁶

 (A) (I)-(a), (II)-(b), (III)-(d)                    (B) (I)-(a), (II)-(b), (III)-(c)

 (C) (I)-(b), (II)-(d), (III)-(c)                    (D) (I)-(a), (II)-(c), (III)-(d)

Q. Amongst the following statements, that which was not proposed by Dalton was:

(A) matter consists of indivisible atoms

(B) when gases combine or reproduced in a chemical reaction they do so in a simple ratio by volume provided all gases are at the same T & P.

(C) Chemical reactions involve reorganisation of atoms. These are neither created nor destroyed in a chemical reaction.

(D) all the atoms of a given element have identical properties including identical mass. Atoms of different elements differ in mass.