A solution of \(CuSO_4\) is electrolysed for \(10\ min\) with a current of \(1.5\ A\).
What is the mass of copper deposited at the cathode?
(Molar mass of \(Cu = 63\ g\ mol^{-1}\), \(1F = 96487\ C\))

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Given below are the Hydrides formed by group 15 elements. Choose the correct decreasing order of basicity of the following hydrides :
(A) \(AsH_3\)
(B) \(PH_3\)
(C) \(NH_3\)
(D) \(BiH_3\)
(E) \(SbH_3\)
Choose the correct answer from the options given below :

\(\text{C-Cl}\) bond in chlorobenzene in comparison to \(\text{C-Cl}\) bond in methyl chloride is :

Identify the carbohydrate which is not a polysaccharide

Read the passage carefully and answer the questions
Sodium dichromate \(Na _2 Cr _2 O _7\) and Potassium dichromate \(K _2 Cr _2 O _7\) are strong oxidizing agents; in acidic solution, its oxidising action can be represented as follows :
\(Cr _2 O _7^{2-}+14 H ^{+}+6 e^{-} \rightarrow 2 Cr ^{3+}+7 H _2 O \left( E ^{\circ}=1.33 V\right)\)
The chromates and dichromates are interconvertible in aqueous solution depending upon pH of the solution.
The chromate ion is tetrahedral whereas the dichromate ion consists of two tetrahedra sharing one corner with \(Cr - O - Cr\) bond angle of \(126^{\circ}\)
Potassium permanganate is prepared by fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidising agent like \(KNO _3\).
This produces the dark green \(K _2 MnO _4\) which disproportionates in a neutral or acidic solution to give permanganate. It is a strong oxidizing agent. Hydrogen ion concentration of the solution plays
an important part in the reduction of permanganate to manganate, manganese dioxide and manganese(II) salt.
Potassium permanganate forms dark purple (almost black) crystals which are isostructural with those of \(KClO _4\).
The salt is not very soluble in water \((6.4 g / 100 g\) of water at 293 K ), but when heated it decomposes at 513 K.
Potassium dichromate is used in the leather industry because of its nature as

On the basis of the information available from the reaction:
\(\frac{4}{3}Al+O_2\rightarrow \frac{2}{3}Al_2O_3, \Delta G = -827 kJ/mol\)
The minimum e.m.f required to carry the electrolysis of \(Al_2O_3\) is (\(F = 96500 C\ mol^{-1}\)):

Calculate the Gibbs free energy for the given reaction, with the standard electrode potential equal to 1.1 V
\(Zn ( s )+ Cu ^{2+}( aq ) \rightarrow Zn ^{2+}( aq )+ Cu ( s )\)

If \(A\) and \(B\) are independent events, then which of the following statements are TRUE?
(A) \(P(A \cap B)=P(A) \cdot P(B)\)
(B) \(P(A \cap B)=P(A)-P(B)\)
(C) \(P(A \cup B)=P(A)+P(B)-P(A) \cdot P(B)\)
(D) \(P(A \cap B)=P(A) \cdot P(B \mid A)\)
Choose the correct answer from the options given below :

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal.
Which of the following drugs are commonly used to quickly reduce the symptoms of allergy?

Ammonia is manufactured by:
\(N _2(g)+3 H _2(g) \rightleftharpoons 2 NH _3(g) \quad \Delta H=-46.1 kJ / mol\)
The various steps involved are:
(A) Condensation of mixture of gases
(B) Passing the gaseous mixture over catalyst
(C) Compression of the mixture of gases
(D) Recirculation of the gaseous mixture
Choose the correct answer from the options given below :

Match List - I with List - II.

List - I	List - II
(A) Gel	(I) Hair cream
(B) Foam	(II) Dust
(C) Emulsion	(III) Cheese
(D) Aerosol	(IV) Whipped cream

Choose the correct answer from the options given below :

An electron is projected into a magnetic field of flux density \( 10 \text{ Wb/m}^2 \) with a velocity of \( 3 \times 10^7 \text{ m/s} \) at an angle of \( 30^{\circ} \) to the field. The magnetic force on the electron is:

An unbiased die is rolled. If the random variable \(X\) is defined as,
\(X=\left\{\begin{array}{ll}1 & \text { if the outcome is a number less than or equal to } 3 \\0 & \text { if the outcome is a number greater than } 3\end{array}\right.\)
Then the probability distribution of \(X\) is :