The conductivity of an ionic solution depends on:
A. The nature of the electrolyte added
B. The Volume of the container
C. The size of the ions and their solvation
D. Pressure
E. Concentration of the electrolytes
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Answer the question on the basis of passage given below :
There are some deposits of nitrates and phosphates in the earth’s crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under laboratory conditions, but microbes do it easily. Ammonia forms a large number of complexes with transition metals. Hybridisation easily explains the ease of sigma donation capability of NH₃ and PH₃. Phosphine is an inflammable gas, and it is prepared from white phosphorus.
Which of the following is the correct statement?

Collision frequency is :

Which of the following statements, for the reaction of type \(A \rightarrow B\), are correct?
(A) The initial rates for a second order reaction depend on the square of the concentration of the reactant
(B) The half-life is the time for half of the reactant to be consumed
(C) The expression for rate of second order reaction is \(r = k[2A]^2\)
(D) The half-life of a second-order reaction depends on the initial concentration
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The reagents involved in the following conversion are

Answer the question on the basis of passage given below :
One of the notable features of the transition element is the great variety of oxidation states it may show in its compounds. The elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example exhibits all the oxidation states from +2 to +7. The lesser number of oxidation states at the extreme ends is either due to losing or sharing of few electrons (Sc, Ti) or too many d electrons of higher valence. Early in the first series scandium (II) is virtually unknown and titanium (IV) which is more stable than Ti (III) or Ti (II). On the other end, the only oxidation state of zinc is \(+ 2\).
Fe shows extra stability as \(Fe ^{3+}\) due to:

The rate constants of a reaction at 200 K and 300 K are \(0.02 s^{-1}\) and \(0.04 s^{-1}\). The activation energy ( \(E _{ a }\) ) for this reaction will be :

Mr. X purchased a house for ₹ 7,00,000 and made a down payment of ₹ 1,50,000 .
He repays the balance in 25 years by equal monthly installments as \(9 \%\) per annum compounded monthly. The equated monthly installment (EMM) is :
[Given that \((1.0075)^{-300}=0.106\) ]

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The concentration dependence of the rate of a reaction is called the differential rate equation. It is not always convenient to determine the instantaneous rate, as it is measured by calculating the slope of the tangent at point 't' in the concentration vs time plot. This makes it difficult to determine the rate and hence the order of the reaction. This difficulty is overcome by integrating the differential rate equation. This integrated rate equation gives a direct relation between concentrations at different times and the rate constant. The integrated rate equations are different for the reactions having different reaction orders.
The rate constant of a reaction is 2.1 mol L-'s-¹. What is the order of the reaction?

Identify X in the following nuclear reaction:
\( {}_{6}^{12}C + {}_{1}^{1}H \rightarrow X \)

In an electromagnetic wave, if \(\vec{B}\) and \(\vec{E}\) represent the magnetic field and electric field respectively, then the direction of propagation of the electromagnetic wave is along the direction of:

In eukaryotes, the regulation could be exerted at -
(A) Transcriptional level (formation of primary transcript)
(B) Processing level (regulation of splicing)
(C) Transport of mRNA from nucleus to the cytoplasm
(D) Translational level

Which of the following statements are correct?
(A) The resistance of a conductor and its resistivity both depend on temperature.
(B) For a conductor of 1 m length and of \( 1 \text{ m}^2 \) cross-sectional area, the resistance is equal to its resistivity
(C) Resistance and resistivity both depend on cross-sectional area
(D) The resistivity of two wires made of same material but of different dimensions is the same.
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