List of practice Questions

You are given a curve, $ y = ln (x + e) $ . What will be the area enclosed between this curve and the coordinate axes?

A differential equation $ \frac{dy}{dx}= \left(y+4x -4\right)^{2} $ is given. At $ x = 0, y = 4 $ the solution of this differential equation is given by

The values of $ x $ for which $ 4^x + 4^{1-x} - 5 < 0 $ , is given by

In which of the following intervals, the function $ y(x) = x^3 - 3x^2 - 9x + 5 $ is always decreasing?

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature $T$ (Kelvin) and mass $m$, is :

A solid rectangular sheet has two different coefficients of linear expansion $\alpha_{1}$ and $\alpha_{2}$ along its length and breadth respectively. The coefficient of surface expansion is (for $\alpha_{1} t < < 1, \alpha_{2} t < < 1$)

Consider the following reaction,

X is

The volume of water to be added to 100 cm³ of 0.5 N H₂SO₄ to get decinormal concentration i

In which of the following the oxidation number of oxygen has been arranged in increasing order ?

Which of the following region is coldest ?

A solid AB has NaCl structure. If the radius of cation A⁺ is 170 pm, then the maximum possible radius of the anion B^- is

A first order reaction is 50% completed in 1.26 × 10¹⁴ How much time would it takes for 100% completion ?

Flux is used to

Sulphur reacts with chlorine in 1 : 2 ratio and forms X. Hydrolysis of X gives a sulphur compound Y. The hybridization of central atom in the anion Y is

Aqueous 10% NaHCO₃ solution is used as a reagent for identifying 'A'. Which of the following compounds yield 'A' on hydrolysis ?

Which of the following fibres is made of polyamides ?

Match the type of series given in Column I with the wavelength range given in Column II and choose the correct option.

Column I		Column II
A.	Lyman	1.	Ultraviolet
B.	Paschen	2.	Near infrared
C.	Balmer	3.	Far infrared
D.	Pfund	4.	Visible

The electrons identified by quantum numbers n and l, are as follows
(I) n = 4, l = 1
(II) n = 4, l = 0
(III) n = 3, l = 2
(IV) n = 3, l = 1
If we arrange them in order of increasing energy, i.e. from lowest to highest, the correct order is

In the cyanide extraction process of silver from argentite ore, the oxidizing and reducing agents are respectively:

The product of acid hydrolysis of (P) and (Q) can be distinguished by

Clemmensen reaction of ketone is carried out in the presence of:

The standard reduction potential for Zn²⁺/Zn, Ni²⁺/Ni and Fe²⁺/Fe are -76, -0.23 and -0.44 V, respectively.
The reaction X + Y²⁺ → X²⁺ + Y will be spontaneous when

Cannizzaro reaction is not shown by

The main product formed in the following reaction is

\[ \text{How many Faradays are needed to reduce 1 mol of } \text{BrO}_3^- \text{ to Br}^- \text{?} \]