The number of s-electrons present in an ion with 55 protons in its unipositive state is

Find out the major products from the following reactions.

What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species : $$\mathr

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Benze

Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide.

Given below are two statements : In the light of the above statements, choose the correct answer from the options give

Choose the correct colour of the product for the following reaction.

Which one amongst the following are good oxidizing agents? A. Sm$$^{2+}$$ B. Ce$$^{2+}$$ C. Ce$$^{4+}$$ D. Tb$$^{4+}$$ C

A student has studied the decomposition of a gas AB$$_3$$ at 25$$^\circ$$C. He obtained the following data. .tg {borde

The hybridization and magnetic behaviour of cobalt ion in $$\mathrm{[Co(NH_3)_6]^{3+}}$$ complex, respectively is :

$$\mathrm{K_2Cr_2O_7}$$ paper acidified with dilute $$\mathrm{H_2SO_4}$$ turns green when exposed to :

Which will undergo deprotonation most readily in the basic medium?

Which of the following cannot be explained by crystal field theory?

Given below are two statements: Statement I : Pure Aniline and other arylamines are usually colourless. Statement II : A

Total number of tripeptides possible by mixing of valine and proline is ___________

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by th

Maximum number of isomeric monochloro derivatives which can be obtained from 2,2,5,5-tetramethylhexane by chlorination i

Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s

Sum of $$\pi$$-bonds present in peroxodisulphuric acid and pyrosulphuric acid is ___________

The number of units, which are used to express concentration of solutions from the following is _________ Mass percent,

The total pressure observed by mixing two liquids A and B is 350 mm Hg when their mole fractions are 0.7 and 0.3 respect

If the pKa of lactic acid is 5, then the pH of 0.005 M calcium lactate solution at 25$$^\circ$$C is ___________ $$\times

Let $$f(x)$$ be a function such that $$f(x+y)=f(x).f(y)$$ for all $$x,y\in \mathbb{N}$$. If $$f(1)=3$$ and $$\sum\limits

The number of real solutions of the equation $$3\left( {{x^2} + {1 \over {{x^2}}}} \right) - 2\left( {x + {1 \over x}} \

The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7, 8 without repetition is :

Let $$\overrightarrow \alpha = 4\widehat i + 3\widehat j + 5\widehat k$$ and $$\overrightarrow \beta = \widehat i +

If the system of equations $$x+2y+3z=3$$ $$4x+3y-4z=4$$ $$8x+4y-\lambda z=9+\mu$$ has infinitely many solutions, then th

The set of all values of $$a$$ for which $$\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0$$, where [$$\alpha$

The locus of the mid points of the chords of the circle $${C_1}:{(x - 4)^2} + {(y - 5)^2} = 4$$ which subtend an angle $

Let $$y=y(x)$$ be the solution of the differential equation $$(x^2-3y^2)dx+3xy~dy=0,y(1)=1$$. Then $$6y^2(e)$$ is equal

If $$f(x) = {{{2^{2x}}} \over {{2^{2x}} + 2}},x \in \mathbb{R}$$, then $$f\left( {{1 \over {2023}}} \right) + f\left( {{

The number of square matrices of order 5 with entries from the set {0, 1}, such that the sum of all the elements in each

Let the six numbers $$\mathrm{a_1,a_2,a_3,a_4,a_5,a_6}$$, be in A.P. and $$\mathrm{a_1+a_3=10}$$. If the mean of these s

The value of $${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\co

If $$f(x) = {x^3} - {x^2}f'(1) + xf''(2) - f'''(3),x \in \mathbb{R}$$, then

$$\int\limits_{{{3\sqrt 2 } \over 4}}^{{{3\sqrt 3 } \over 4}} {{{48} \over {\sqrt {9 - 4{x^2}} }}dx} $$ is equal to :

The minimum number of elements that must be added to the relation R = {(a, b), (b, c), (b, d)} on the set {a, b, c, d} s

If the shortest between the lines $${{x + \sqrt 6 } \over 2} = {{y - \sqrt 6 } \over 3} = {{z - \sqrt 6 } \over 4}$$ and

Let $$\overrightarrow a = \widehat i + 2\widehat j + \lambda \widehat k,\overrightarrow b = 3\widehat i - 5\widehat j

Let the sum of the coefficients of the first three terms in the expansion of $${\left( {x - {3 \over {{x^2}}}} \right)^n

The equations of the sides AB, BC and CA of a triangle ABC are : $$2x+y=0,x+py=21a,(a\pm0)$$ and $$x-y=3$$ respectively.

Let $$f$$ be $$a$$ differentiable function defined on $$\left[ {0,{\pi \over 2}} \right]$$ such that $$f(x) > 0$$ and $

If the area of the region bounded by the curves $$y^2-2y=-x,x+y=0$$ is A, then 8 A is equal to __________

Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and $$\lambda$$ red, 4 black balls respectively. One of th

The logic gate equivalent to the given circuit diagram is :

The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distan

A long solenoid is formed by winding 70 turns cm$$^{-1}$$. If 2.0 A current flows, then the magnetic field produced insi

A cell of emf 90 V is connected across series combination of two resistors each of 100$$\Omega$$ resistance. A voltmeter

An $$\alpha$$-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : A pe

Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of l

In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature;

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by $$\math

A metallic rod of length 'L' is rotated with an angular speed of '$$\omega$$' normal to a uniform magnetic field 'B' abo

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Steel

If the distance of the earth from Sun is 1.5 $$\times$$ 10$$^6$$ km. Then the distance of an imaginary planet from Sun,

The electric potential at the centre of two concentric half rings of radii R$$_1$$ and R$$_2$$, having same linear charg

Given below are two statements: Statement I : Acceleration due to earth's gravity decreases as you go 'up' or 'down' fro

A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this tran

The frequency ($$\nu$$) of an oscillating liquid drop may depend upon radius ($$r$$) of the drop, density ($$\rho$$) of

If two vectors $$\overrightarrow P = \widehat i + 2m\widehat j + m\widehat k$$ and $$\overrightarrow Q = 4\widehat i -

A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O.

A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of t

A body of mass 1kg begins to move under the action of a time dependent force $$\overrightarrow F = \left( {t\widehat i

The energy released per fission of nucleus of $$^{240}$$X is 200 MeV. The energy released if all the atoms in 120g of pu

A uniform solid cylinder with radius R and length L has moment of inertia I$$_1$$, about the axis of the cylinder. A con

If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is ______

A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate become

A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of

A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and d

A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period

Three identical resistors with resistance R = 12$$\Omega$$ and two identical inductors with self inductance L = 5 mH are