1.00 g of a non-electrolyte solute when dissolved in 50 g of organic solvent,
lowered the freezing point of the organic solvent by 0.50 K. If the freezing point depression constant of the organic solvent is \(5 K kg mol ^{-1}\), the molar mass of the solute will be

The molar conductivity of KNO\(_3\), NaCl and KCl are 111, 128 and 152 S cm\(^2\) mol\(^-\)\(\mathrm{^1}\), respectively. The molar conductivity of NaNO\(_3\) will be:

Identify the correct statements for Ethylene dichloride and Ethylidene chloride
(A) They represent structural isomers.
(B) Both are formed by reaction of ethene with chlorine in presence of\(CCl _4\)
(C) Both the compounds belong to a class of dihalocompounds
(D) Both the compounds are optically inactive.
Choose the correct answer from the options given below:

Which of the following reactions is the most suitable for the preparation of n-propylbenzene?

Match the complexes given in List-I with their properties given in List-II

List-I (Complex)	List-II (Property)
(A) \(\left[{FeF}_6\right]^{3-}\)	(I) \(d^6\), high spin
(B) \(\left[{CoF}_6\right]^{3-}\)	(II) \(d^5\), high spin
(C) \(\left[{Mn}({CN})_6\right]^{3-}\)	(III) \(d^6\), low spin
(D) \(\left[{Co}({CN})_6\right]^{3-}\)	(IV) \(d^4\), low spin

Choose the correct answer from the options given below:

Arrange the following compounds towards increasing \(S_{N}2\) reaction?
(A) n-Butyl bromide
(B) Isobutyl bromide
(C) Tertiary butyl bromide
(D) Sec-Butyl bromide
Choose the correct answer from the options given below:

Match List - I with List - II.

List - I	List - II
(A) Raoult's Law	(I) \(\pi=C R T\)
(B) Henry's Law	(II) \(P=x_1 p_1^0+x_2 p_2^0\)
(C) Elevation in Boiling point	(III) \(P=K_H x\)
(D) Osmotic Pressure	(IV) \(\Delta T_b=k_b m\)

Choose the correct answer from the options given below :

The value of \(|\text{adj}(2A)|\), if \(A = [a_{ij}]_{3 \times 3}\) and \(|A| = 2\) is:

If \(x=a \sin ^3 t\) and \(y=a \cos ^3 t\), then \(\frac{d y}{d x}\) is equal to :

The capacity of a parallel plate capacitor does not depend on :

When phenol is treated with chloroform in the presence of \(NaOH\), the major product formed is ?

Read the passage carefully and answer the questions based on the passage:
Species diversity on earth is not uniformly distributed. It is generally highest in the tropics and decreases towards the poles.Earth's fossil history reveals the incidences of mass extinctions in the past. Earth's rich biodiversity is vital for the very survival of mankind. It is believed that communities with high diversity tend to be less variable and more productive. The reasons of conserving biodiversity are narrowly utilitarian, broadly utilitarian and ethical. Biodiversity conservation may be in-situ as well as ex-situ.
Which of the following is not included in in-situ conservation?

The energy of a Hydrogen atom in its first excited state is