List of practice Questions

The photochemical smog does not generally contain :

Most stable product of the following reaction is :

Which one of the following reactions does not represent correct combination of substrateand product under the given conditions?

Melamine polymer is formed by the condensation of :

During the denaturation of proteins, which of these structures will remain intact?

Drugs used to bind to receptors, inhibiting its natural function and blocking a message are called:

The enthalpy of combustion of propane, graphite and dihydrogen at 298 K are –2220.0 kJ mol^–1, –393.5 kJ mol^–1 and –285.8 kJ mol^–1, respectively. The magnitude of enthalpy of formation of propane (C₃H₈) is _____ kJ mol^–1. (Nearest integer)

Among Co³⁺, Ti²⁺, V²⁺ and Cr²⁺ions, one if used as a reagent cannot liberate H₂ from dilute mineral acid solution, its spin-only magnetic moment in gaseous state is________ B.M. (Nearest integer)

Let a circle C touch the lines L₁ : 4x – 3y +K₁ = 0 and L₂ : 4x – 3y + K₂ = 0, K₁, K₂∈R. If a line passing through the centre of the circle C intersects L₁ at (–1, 2) and L₂ at (3, –6), then the equation of the circle C is :

Let
ƒ : R → R
be defined as f(x) = x -1 and
g : R - { 1, -1 } → R
be defined as
g(x) = \(\frac{x²}{x² - 1}\)
Then the function fog is :

If the system of equations αx + y + z = 5, x + 2y + 3z = 4, x + 3y +5z = β has infinitely many solutions, then the ordered pair (α, β) is equal to:

\(\lim_{{x \to 0}} \limits\) \(\frac{cos(sin x) - cos x }{x^4}\) is equal to :

The value of \(\int\limits_0^π \frac {e^{cos⁡\ x} sin⁡x}{(1+cos^2⁡x)(e^{cos⁡\ x}+e^{−cos⁡\ x})}dx\) is equal to :

If m is the slope of a common tangent to the curves
\(\frac{x²}{16} + \frac{y²} {9} = 1\)
and x² + y² = 12, then 12m² is equal to:

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is ____m.

0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127°C. The amount of heat required to double the speed of its molecules is ___ k cal.(Take R = 2 cal mol^–1K^–1)

While estimating the nitrogen present in an organic compound by Kjeldahl’s method, the ammonia evolved from 0.25g of the compound neutralized 2.5mL of 2M H₂SO₄. The percentage of nitrogen present in organic compound is ________

Let d be the distance between the foot of perpendiculars of the point P(1, 2, –1) and Q(2, –1, 3) on the plane –x + y + z = 1. Then d²is equal to ____.

If the sum of the co-efficients of all the positive even powers of x in the binomial expansion of \((2x^3+\frac{3}{x})^{10} \) is 5¹⁰ – β·3⁹, the β is equal to ____.

If the mean deviation about the mean of the numbers 1, 2, 3, …. n, where n is odd, is \(\frac{5(n + 1)}{n}\), then n is equal to ______.

Let l₁ be the line in xy-plane with x and y intercepts ⅛ and \(\frac{1}{4√2} \) respectively and l₂ be the line in zx-plane with x and z intercepts -⅛ and \(−\frac{1}{6√3}\) respectively. If d is the shortest distance between the line l₁ and l₂, then d^–2 is equal to ______.

If y = y(x) is the solution of the differential equation

\(2x^2\frac{dy}{dx}-2xy+3y^2=0\) such that \(y(e)=\frac{e}{3},\)

then y(1) is equal to

The area of the region given by A={(x,y); \(x^2\)≤y≤min{x+2,4−3x}} is

Match List-I with List-II

List-I (Processes/ Reactions)	List-II (Catalyst)
(A) \(2SO_2(g) + O_2(g)\)	(I) \(\underrightarrow {Fe(s)}\ \ 2SO_3(g)\)
(B) \(4NH_3(g) + 5O_2(g)\)	(II) \(\underrightarrow {Pt(s) – Rh(s)}\ \ 4NO(g) + 6H_2O(g)\)
(C) \(N_2(g) + 3H_2(g)\)	(III) \(\underrightarrow {V_2O_5}\ \ 2NH_3(g)\)
(D) Vegetable oil \((l)+ H_2\)	(IV) \(\underrightarrow {Ni(s)}\) Vegetable ghee(s)

Choose the correct answer from the options given below:

Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 molal solution of glucose in water is 4 K. The ratio of molal elevation constant to molal depression constant (K_b/K_f) is ___.