Read the passage carefully and answer the Questions
The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Predict the intercept for the plot of \(log \frac{[N_2O_5]_0}{[N_2O_5]}\) versus time

Match List-l with List-II

List-l (Name of amino acid)	List-II (One letter code)
(A) Lysine	(I) W
(B) Tryptophan	(II) Q
(C) Tyrosine	(III) K
(D) Glutamine	(IV) Y

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45 g of ethylene glycol (C₂H₆O₂) is mixed with 600 g of water. Calculate the depression in freezing point.
(K_f for water = 1.86 K kg mol^-1)

The mass of \(\text{NaOH}\) required to make a 500 mL solution of 0.5 molarity is

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
The decreasing order of melting point of the following elements will be:
A. Nitrogen (N)
B. Phosphorus (P)
C. Arsenic (As)
D. Antimony (Sb)
E. Bismuth (Bi)
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A solution contains \(5 0 ~ g\) of a non-electrolytic solute per \(1 0 0 g\) of water at \(2 5 ^{ \circ } C\). The vapor pressure of water is \(2 3 . 5 m m H g\) at this temperature. The molar mass of the solute is \(2 5 0 ~ g ~ m o l ^{-1}\). The vapor pressure of the solution at \(2 5 ^{ \circ } C\) will be

Match List-I with List-II with their boiling points

LIST – I (Compound name)	LIST – II (Boiling point)
(A) \(CH _3 CH _2 OH\)	(I) 373K
(B) \(CH _3 OCH _3\)	(II) 348K
(C) \(H _2 O\)	(III) 351K
(D) \(CH _3 CH _2 OCH _2 CH _3\)	(IV) 248K

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Photoelectric work function of a metal is 1 eV. Light of wavelength \( \lambda = 3000\text{\AA} \) falls on it. The photoelectrons come out with maximum kinetic energy of:

If the corner points of the bounded feasible region of an LPP with objective function maximize \(Z=2 x+3 y\) are \((0,0),(1,2)\) and \((1,1)\), then its optimal value is

Match List-I with List-II>

List-I	List-II
(A) Bandwidth	(I) information converted into electrical form and suitable for transmission
(B) Repeater	(II) Loss of strength of a signal while propagating through a medium
(C) Signal	(III) Range of frequencies over which communication system work
(D) Attenuation	(IV) Combination of receiver and transmitter

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The density of a population in a given habitat during a given period, fluctuates due to changes in -
(A) Natality
(B) Immigration
(C) Emigration
(D) Mortality
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The step 'D' in the figure depicts:

The critical angle of incidence \( i_c \) for a ray incident from a denser to a rarer medium, is that angle for which