The IUPAC name of the following compound is :

The decreasing order of reactivity of the following organic molecules towards AgNO3 solution is :

For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature (b) C

The elements with atomic numbers 101 and 104 belong to, respectively :

The pair in which both the species have the same magnetic moment (spin only) is :

The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts with 1 kg of dihydrogen is _______

A 20.0 mL solution containing 0.2 g impure H2O2 reacts completely with 0.316 g of KMnO4 in acid solution. The purity of

At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At t

If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximate

The number of chiral centres present in [B] is _____.

$$E_{C{u^{2 + }}|Cu}^0$$ = +0.34 V $$E_{Z{n^{2 + }}|Zn}^0$$ = -0.76 V Identify the incorrect statement from the option

The intermolecular potential energy for the molecules A, B, C and D given below suggests that :

Which of the following will react with CHCl3 + alc. KOH?

The number of isomers possible for [Pt(en)(NO2)2] is :

[P] on treatment with Br2/FeBr3 in CCl4 produced a single isomer C8H7O2Br while heating [P] with sodalime gave toluene.

When neopentyl alcohol is heated with an acid, it slowly converted into an 85 : 15 mixture of alkenes A and B, respectiv

The ionic radii of O2–, F–, Na+ and Mg2+ are in the order :

The region in the electromagnetic spectrum where the Balmar series lines appear is :

For the equilibrium A ⇌ B , the variation of the rate of the forward (a) and reverse (b) reaction with time is given by

An organic compound (A) (molecular formula C6H12O2) was hydrolysed with dil. H2SO4 to give a carboxylic acid (B) and an

What are the functional groups present in the structure of maltose?

A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% of the people read

The probability of a man hitting a target is $${1 \over {10}}$$. The least number of shots required, so that the probabi

Let $${\left( {2{x^2} + 3x + 4} \right)^{10}} = \sum\limits_{r = 0}^{20} {{a_r}{x^r}} $$ Then $${{{a_7}} \over {{a_{13}}

If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has infinitely many solutions, then a - b is

Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y. $$

If $$\left( {a + \sqrt 2 b\cos x} \right)\left( {a - \sqrt 2 b\cos y} \right) = {a^2} - {b^2}$$ where a > b > 0,

Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground.

The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14,

If $$A = \left[ {\matrix{ {\cos \theta } & {i\sin \theta } \cr {i\sin \theta } & {\cos \theta } \cr

Let $$u = {{2z + i} \over {z - ki}}$$, z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersect

Let $$\alpha $$ and $$\beta $$ be the roots of x2 - 3x + p=0 and $$\gamma $$ and $$\delta $$ be the roots of x2 - 6x + q

Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $$ \ge $$ 1 and f''(x) $$ \ge $$ 4, fo

Let $$f\left( x \right) = \int {{{\sqrt x } \over {{{\left( {1 + x} \right)}^2}}}dx\left( {x \ge 0} \right)} $$. Then f

Let $$f(x) = \left| {x - 2} \right|$$ and g(x) = f(f(x)), $$x \in \left[ {0,4} \right]$$. Then $$\int\limits_0^3 {\left(

The integral $$\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx} $$ is equal to (where C is a constant of in

Let $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ (a > b) be a given ellipse, length of whose latus rectu

Let y = y(x) be the solution of the differential equation, xy'- y = x2(xcosx + sinx), x > 0. if y ($$\pi $$) = $$\pi

Let [t] denote the greatest integer $$ \le $$ t. Then the equation in x, [x]2 + 2[x+2] - 7 = 0 has :

A two point charges 4q and -q are fixed on the x-axis at x = $$ - {d \over 2}$$ and x = $${d \over 2}$$ respectively. If

Dimensional formula for thermal conductivity is (here K denotes the temperature):

Starting from the origin at time t = 0, with initial velocity 5$$\widehat j$$ ms-1 , a particle moves in the x-y plane w

Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:

Given figure shows few data points in a phot electric effect experiment for a certain metal. The minimum energy for ejec

A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water

A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height $${h

Particle A of mass mA = $${m \over 2}$$ moving along the x-axis with velocity v0 collides elastically with another parti

A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5

Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with s

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distan

A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of

A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B,

Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules : .tg {border-collapse:co

A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a pola

The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 $$ \times $$ 105 J kg–1. 100 grams of ice a

Take the breakdown voltage of the zener diode used in the given circuit as 6V. For the input voltage shown in figure bel

A small bar magnet placed with its axis at 30o with an external field of 0.06 T experiences a torque of 0.018 Nm. The mi

Two charged thin infinite plane sheets of uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$, where

In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal len

A circular disc of mass M and radius R is rotating about its axis with angular speed $${\omega _1}$$ . If another statio

A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to

On the x-axis and at a distance x from the origin, the gravitational field due a mass distribution is given by $${{Ax} \