The absolute value of the electron gain enthalpy of halogens satisfies :

What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25, in it's aqueous solution

Hoffmann bromomide degradation of benzamide gives product A, which upon heating with CHCl3 and NaOH gives product B.The

The above reaction requires which of the following reaction conditions?

The product ''A'' in the above reaction is :

Product ''A'' in the above chemical reaction is :

Which of the following compound CANNOT act as a Lewis base?

Given below are two statements :Statement I : Potassium permanganate on heating at 573K forms potassium manganate.Statem

Mesityl oxide is a common name of :

Which of the following is an aromatic compound?

A central atom in a molecule has two lone pairs of electrons and forms three single bonds. The shape of this molecule is

Given below are two statements :Statement I : Retardation factor (Rf) can be measured in meter/centimeter.Statement II :

Which of the following is correct structure of tyrosine?

Which of the following reaction is an example of ammonolysis?

A certain orbital has n = 4 and mL = $$-$$3. The number of radial nodes in this orbital is ____________. (Round off to t

15 mL of aqueous solution of Fe2+ in acidic medium completely reacted with 20 mL of 0.03 M aqueous Cr2O$$_7^{2 - }$$. Th

In the above reaction, 3.9 g of benzene on nitration gives 4.92 g of nitrobenzene. The percentage yield of nitrobenzene

For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _______

0.01 moles of a weak acid HA (Ka = 2.0 $$\times$$ 10$$-$$6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of d

The mole fraction of a solute in a 100 molal aqueous solution is ___________ $$\times$$ 10$$-$$2. (Round off to the Near

The standard enthalpies of formation of Al2O3 and CaO are $$-$$1675 kJ mol-1 and $$-$$635 kJ mol$$-$$1 respectively.For

The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water. The molar solubility of oxy

In a triangle PQR, the co-ordinates of the points P and Q are ($$-$$2, 4) and (4, $$-$$2) respectively. If the equation

The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})}

Which of the following statements is correct for the function g($$\alpha$$) for $$\alpha$$ $$\in$$ R such that $$g(\alph

Which of the following is true for y(x) that satisfies the differential equation $${{dy} \over {dx}}$$ = xy $$-$$ 1 + x

The sum of possible values of x for tan$$-$$1(x + 1) + cot$$-$$1$$\left( {{1 \over {x - 1}}} \right)$$ = tan$$-$$1$$\lef

The value of $$4 + {1 \over {5 + {1 \over {4 + {1 \over {5 + {1 \over {4 + ......\infty }}}}}}}}$$ is :

The inverse of $$y = {5^{\log x}}$$ is :

Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of th

If the fourth term in the expansion of $${(x + {x^{{{\log }_2}x}})^7}$$ is 4480, then the value of x where x$$\in$$N is

The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k2 has no solution if k is equal to :

In a school, there are three types of games to be played. Some of the students play two types of games, but none play al

If cot$$-$$1($$\alpha$$) = cot$$-$$1 2 + cot$$-$$1 8 + cot$$-$$1 18 + cot$$-$$1 32 + ...... upto 100 terms, then $$\alph

Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches can be arra

The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :

If (2021)3762 is divided by 17, then the remainder is __________.

Let there be three independent events E1, E2 and E3. The probability that only E1 occurs is $$\alpha$$, only E2 occurs i

The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y $$ \le $$ 100 and 4x + 3y $$ \le $$ 75 for

If [ . ] represents the greatest integer function, then the value of $$\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {

If $$f(x) = \sin \left( {{{\cos }^{ - 1}}\left( {{{1 - {2^{2x}}} \over {1 + {2^{2x}}}}} \right)} \right)$$ and its first

If the function $$f(x) = {{\cos (\sin x) - \cos x} \over {{x^4}}}$$ is continuous at each point in its domain and $$f(0)

A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstac

A polyatomic ideal gas has 24 vibrational modes. What is the value of $$\gamma$$?

Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and

If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :

Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective therma

A triangular plate is shown. A force $$\overrightarrow F $$ = 4$$\widehat i$$ $$-$$ 3$$\widehat j$$ is applied at point

When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :

A car accelerates from rest at a constant rate $$\alpha$$ for some time after which it decelerates at a constant rate $$

A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves with steady

A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry a

The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the materi

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

An AC current is given by I = I1 sin$$\omega$$t + I2 cos$$\omega$$t. A hot wire ammeter will give a reading :

A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. I

The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted t

A current of 10A exists in a wire of cross-sectional area of 5 mm2 with a drift velocity of 2 $$\times$$ 10$$-$$3 ms$$-$

The output of the given combination gates represents :

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : (c bei

The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity

The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the t

A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V betwe

The following bodies,(1) a ring(2) a disc(3) a solid cylinder(4) a solid sphere,of same mass 'm' and radius 'R' are allo

Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in fig

Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 sho

The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equiva

Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficie

If 2.5 $$\times$$ 10$$-$$6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during