It is difficult to separate the ores of Zr and Hf because:

The vapour pressure of a solution is 2985 \(\text{Nm}^{-2}\) when 5 g of a non-electrolyte is added to 100 g of water at a particular temperature.
The vapour pressure of pure water at this temperature is 3000 \(\text{Nm}^{-2}\).
The molecular mass of the solute is

Enzymes are biological catalysts. They accelerate biological reactions. Which of the following is not true about enzymes?

Read the passage carefully and answer the questions
The transition metals and their compounds are known for their catalytic activity. This activity is ascribed to their ability to adopt multiple oxidation states and to form complexes. Vanadium(V) oxide (in Contact Process), finely divided iron, and nickel (in Catalytic Hydrogenation) are some of the examples. Catalysts at a solid surface involve the formation of bonds between reactant molecules and atoms of the surface of the catalyst (first row transition metals utilise 3d and 4s electrons for bonding). This has the effect of increasing the concentration of the reactants at the catalyst surface and also weakening of the bonds in the reacting molecules (the activation energy is lowering). Also because the transition metal ions can change their oxidation states, they become more effective as catalysts.
In the Wacker process the oxidation of ethene to ethanal is catalysed by _______

Match List-I with List-II

List-I (Name Reaction)	List-II (Reaction)
(A) Stephen Reaction	(i)
(B) Gatterman-Koch Reaction	(ii)
(C) Etard Reaction	(iii)
(D) Rosenmund reduction	(iv)

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Arrange the following carboxylic acids in increasing order of their acid strength.
A. \(CH _3 COOH\)
B. \(CH _3 CH _2 COOH\)
C. \(C _6 H _5 CH _2 COOH\)
D. \(C _6 H _5 COOH\)
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The electronic configuration of the last three orbitals in cerium (At. No. 58) in ground state is:

The objective function of an LPP is \(z=a x+\beta y,(a, \beta>0)\) that has to be maximized/minimized subject to the constraints \(x+y \leq 2, x \geq 0, y \geq 0\).
Then \(\max (z)-\min (z)\) is equal to :

Let \(A\) be a square matrix of order \(3 \times 3\), then \(|K A|\) is equal to :

The values of van't Hoff factors for \(\text{CaCl}_2\), \(\text{Na}_2\text{SO}_4\) and \(\text{KCl}\) respectively are:

Which of the following combination of hormones are secreted during pregnancy in humans?
(A) hCG
(B) LH
(C) hPL
(D) Relaxin
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Which of the following statements are true for a conductor in an external electric field?
(A) Inside a conductor, the electric field is non-zero.
(B) At the surface of a charged conductor, the electric field must be normal to the surface at every point.
(C) The interior of a conductor can have no excess charge in a static situation.
(D) Electrostatic potential is constant throughout the volume of the conductor and has the same value on its surface.
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Match List I with List II

List - I (Disease)	List - II (Causal organism)
(A) Pneumonia	(I) Protozoan
(B) Common cold	(II) Roundworm
(C) Malaria	(III) Bacteria
(D) Ascariasis	(IV) Virus

Choose the correct answer from the options given below: