List of top Questions asked in CBSE CLASS XII

How much electricity in terms of Faraday is required to produce
(i) 20.0 g of Ca from molten CaCl₂.
(ii) 40.0 g of Al from molten Al₂O₃.

Conductivity of 0.00241 M acetic acid is 7.896 × 10^-5 S cm^-1 . Calculate its molar conductivity and if \(\land^0_m\) for acetic acid is 390.5 S cm² mol^-1 , what is its dissociation constant?

The resistance of a conductivity cell containing 0.001M KCl solution at 298 K is 1500 Ω. What is the cell constant if conductivity of 0.001M KCl solution at 298 K is 0.146 x 10^-3 S cm^-1 .

The conductivity of 0.20 M solution of KCl at 298 K is 0.0248 Scm^-1 . Calculate its molar conductivity.

Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with concentration.

Calculate the standard cell potentials of galvanic cells in which the following reactions take place:
(i) \(2Cr_{(S)}+3Cd^{2+}_{(aq)} \rightarrow 2Cr^{3+}_{(aq)}+3Cd\)
(ii) \(Fe^{2+}_{(aq)}+Ag^+_{(aq)} \rightarrow Fe^{3+}_{(Aq)}+Ag(s)\)
Calculate the \(\triangle_rG^\ominus\) and equilibrium constant of the reactions.

Given the standard electrode potentials,
K⁺/K = -2.93V, Ag⁺/Ag = 0.80V,
Hg²⁺/Hg = 0.79V
Mg²⁺/Mg = -2.37 V, Cr³⁺/Cr = - 0.74V
Arrange these metals in their increasing order of reducing power.

Arrange the following metals in the order in which they displace each other from the solution of their salts.
Al, Cu, Fe, Mg and Zn

Differentiate w.r.t. \(x\) the function: \((3x^2-9x+5)^9\)

Differentiate the following w.r.t. x: \(e^{sin^{-1}x}\)

Differentiate the following w.r.t. x: \(\frac {e^x}{sin\ x}\)

What is the maximum value of the function sin x + cos x?

Find the mean deviation about the median for the data 36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

Find the mean deviation about the mean for the given data.

\(x_i\)	5	10	15	20	25
\(f_i\)	7	4	6	3	5

Show how will you synthesize:(i) 1-phenyl ethanol from a suitable alkene.
(ii) cyclohexyl methanol using an alkyl halide by an SN₂ reaction.
(iii) pentane-1-ol using a suitable alkyl halide?

Find the following integral: \(\int (2x^2+e^x)dx\)

A trust fund has Rs \(30,000\) that must be invested in two different types of bonds.
The first bond pays \(5\)% interest per year, and the second bond pays \(7\)% interest per year.
Using matrix multiplication, determine how to divide Rs \(30,000 \) among the two types of bonds.
If the trust fund must obtain an annual total interest of:
\(A.\) Rs \(1,800 \)
\(B.\) Rs \(2,000\)

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse \(16x^2 + y^2 = 16\).

Show that the function given by \(f(x)=e^{2x}\) is strictly increasing on R.

\(Find\) \(\frac {dy}{dx}\): \(2x+3y=sin \ y\)

Find the integrals of the function: \(sin^4 x\)

Find the integrals of the function: \(\frac{cos x}{1+cos x}\)

Find the integrals of the function: \(\frac{1-cosx}{1+cosx}\)

Find the integrals of the function: \(sin\, 4x\,\, sin\, 8x\)

Find the integrals of the function: \(sin\, x\,\, sin\, 2x\,\, sin\, 3x\)