List of top Questions asked in MPBSE Class XII Board

\( \int e^x [f(x) + f'(x)] dx \)= \(\underline{\hspace{2cm}}\)
What is trivial relation?
Find the principal value of \( \sin^{-1} \left( \frac{1}{\sqrt{2}} \right)\)
Find magnitude of the vector \( \hat{i} + \hat{j} + \hat{k} \)
If \( A \) and \( B \) are two independent events with \( P(A) = 0.3 \) and \( P(B) = 0.4 \), then find \( P(B|A) \)
Rate of change of area of circle per second with respect to its radius \( r \) when \( r = 5 \, \text{cm} \) will be \(\underline{\hspace{2cm}}\)
\( \int \left( \sin^{-1} x + \cos^{-1} x \right) dx\) = \(\underline{\hspace{2cm}}\)
The number of arbitrary constants in the particular solution of a differential equation of third order are \(\underline{\hspace{2cm}}\)
The vector sum of the three sides of a triangle taken in order is \(\underline{\hspace{2cm}}\)
The direction cosines of \( x \), \( y \), and \( z \)-axis are \(\underline{\hspace{2cm}}\) respectively.
\( \tan^{-1} \sqrt{3} - \sec^{-1}(-2) \) is equal to:
In the function \( f : \mathbb{R} \rightarrow \mathbb{R} \), given by \( f(x) = 5x \):
The oxidation number of Fe in \( K_2[Fe(CN)_6] \) is:

Match the pairs correctly: 

Write the IUPAC names of the following coordination compound: \([Co(NH_3)_6]Cl_3\)

Write the structure of following compound:

Complete and write the following reactions: 

Write the mechanism of SN1 and SN2 reactions.
Write the following reactions with chemical equation:
Sandmeyer's reaction
Fittig reaction
Draw the labelled diagram of Electro-chemical cell and write its structure and chemical reaction.
Write and derive Nernst equation.
How will you prepare the following from acetic acid \((CH_3COOH\)?
Write the Chemical equations:
Acetic Anhydride.
Ethyl Acetate.
Acetyl Chloride.
Ethyl Alcohol.
Acetamide.
The vapour pressure of pure benzene at a certain temperature is 0.850 bar and 0.5 gm of a non-volatile non-electrolyte solid weighing is added to 39.0 gm of benzene (Molar mass 78 g mol\(^{-1}\)) then the vapour pressure of the solution is 0.845 bar. What is the molar mass of the solid substance?
18 gm glucose \(C_6H_{12}O_6\) is dissolved in 1 kg of water in a saucepan. At what temperature will water boil at 1.013 bar? Kb for water is 0.52 K kg mol\(^{-1}\).
Write the unit of rate constant for first order of reaction and second order of reaction.