The number of moles of potassium dichromate needed to oxidize 3 moles of ferrous ions in acidic medium will be ___________

The order of kinetics of \(\mathrm{S}_{\mathrm{N}} 1\) reactions is:

Answer the question on the basis of passage given below :
A colloid is a heterogeneous system in which a substance is dispersed (dispersed phase) as fine particles in another substance called dispersion medium.
Their particle size is intermediate between that of pure solutions (less than 1 nm) and suspensions (greater than 1000 nm).
They are known for interesting properties such as enormous surface area,
Tyndall effect, Brownian motion etc.
They are widely used in industries and day to day life.
Some prominent uses of colloids are those in smoke precipitators, purification of water, medicines, cleansers etc.
Which of the following is true for enzyme catalytic reaction?

Match List-I with List-II

List-I (Compound)	List-II (Use)
(A) Dichloromethane	(I) in the manufacturing of propellants for aerosol cans
(B) DDT	(II) in the production of the Freon refrigerant R-22
(C) Trichloromethane	(III) as a paint remover
(D) Tetrachloromethane	(IV) as an insecticide

Choose the correct answer from the options given below:

Which of the following compounds will be repelled when placed in an external magnetic field?

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.
What is the unit of rate constant for the reaction given in the passage

Choose the incorrect statements from the following :
(A) The dipole moment of cyclohexyl chloride is smaller than chlorobenzene.
(B) Alkyl halides are immiscible with water.
(C) The dipole moment of methyl chloride is higher than that of methyl fluoride.
(D) Chloroform doesn't undergo aerial oxidation in the presence of light
Choose the correct answer from the options given below :

The integral \(\int e^x\left(\frac{x-1}{2 x^2}\right) d x\) is equal to:

A plane electromagnetic wave is travelling along +y-axis. The value of electric field at a point is \( \vec{E} = 12.3 \hat{i} \frac{N}{C} \). The magnitude and direction of magnetic field \( \vec{B} \) at this point is:

The gas evolved when methylamine reacts with nitrous acid is

Under which of the following conditions the power delivered by the source of circuit will be maximum

If \(A=\left[\begin{array}{ll}1 & -1 \\ 2 & -1\end{array}\right], B=\left[\begin{array}{cc}a & 1 \\ b & -1\end{array}\right]\) and \((A+B)^2=A^2+B^2\) then

The point on the curve \(y^2=x\), where the tangent makes an angle of \(\frac{\pi}{4}\) with x-axis is: