List of practice Questions

The distance of the point \( (2, -1, 0) \) from the plane \( 2x + y + 2z + 8 = 0 \) is
Evaluate the integral \( \int e^x \left( \frac{1 - x}{1 + x^2} \right)^2 dx = \)
If the sum of the slopes of the pair of lines given by \( 4x^2 + 2hxy - 7y^2 = 0 \) is equal to the product of the slopes, then \( h \) is
The solution of the differential equation \( \log \left( \frac{dy}{dx} \right) = 9x - 6y + 6 \) is (given that \( y = 1 \) when \( x = 0 \))
A line makes angles \( \alpha \), \( \beta \), \( \gamma \) with the co-ordinate axes, then \( \cos 2\alpha + \cos 2\beta + \cos 2\gamma \) is equal to
The number of solutions of the equation \( \tan x + \sec x = 2 \cos x \) lying in the interval \( [0, 2\pi] \) is
Which of the following oxide of nitrogen is coloured?
Identify the neohhexyl chloride from the following.
An ideal gas expands from 1 × 10\(^-3\) m\(^3\) to 1 × 10\(^-2\) m\(^3\) at 300 K against a constant external pressure of 1 × 10\(^5\) N/m\(^2\). Work done is
What is the coordination number of cation in ionic compound if the type of hole occupied by cation is cubic?
The coordination number of the sphere in cubic close packed (ccp) structure is
According to Andrews isothermals, the minimum temperature at which carbon dioxide gas obeys Boyle’s law is
What is the oxidation number of Cr in K\(_2\)Cr\(_2\)O\(_7\)?
An organic compound was found to contain 40.0% C and 6.66% H. Find its molecular formula (molar mass = 180).
Identify 'B' in the following series of reactions:
Ethanol $\xrightarrow{\text{NaBr, H\(_2\)SO\(_4\), Δ}}$ A $\xrightarrow{\text{Mg, Dry ether}}$ B
Which of the following is dihydric phenol?
Which of the following is a synthetic estrogen derivative?
For the following cell, standard potential of copper electrode is 0.337 V and standard cell potential is 0.463 V.
Cu\(^{2+}\) (1M) / Cu (1M) || Ag\(^+\) (1M) / Ag What is the standard potential of silver electrode?
What is the value of effective magnetic moment found in +3 oxidation state of Chromium (Z=24)?
Which among the following is an alloy of antimony, tin and copper?
Identify the correct relation between depression in freezing point and freezing point of pure solvent.
How many water molecules are hydrogen bonded in the following molecular formula?
[Cu(H\(_2\)O)\(_6\)]\(^{2+}\) SO\(_4^{2-}\) \(\cdot\) H\(_2\)O
Which following method is used for refining of impure zirconium?
Which among the following elements has the highest number of atoms in 1 g each?
(at. no. Au = 197, Na = 23, Cu = 63.5, Fe = 56)
Which of the following is NOT used as a semipermeable membrane?