Calculate the standard cell potential in (V) of the cell in which following reaction takes place : Fe2+(aq) + Ag+(aq) $$

The major product in the following reaction is :

For the following reactions, equilibrium constants are given : S(s) + O2(g) ⇋ SO2(g); K1 = 1052 2S(s) + 3O2(g) ⇋ 2SO3

The ion that has sp3d2 hybridization for the central atom, is :

The major product of the following reaction is:

The structure of Nylon-6 is :

The major product of the following reaction is:

The percentage composition of carbon by mole in methane is :

The IUPAC symbol for the element with atomic number 119 would be :

The compound that inhibits the growth of tumors is :

The covalent alkaline earth metal halide (X = Cl, Br, I) is :

The maximum prescribed concentration of copper in drinking water is :

Which one of the following alkenes when treated with HCl yields majorly an anti Markovnikov product?

The calculated spin-only magnetic moments (BM) of the anionic and cationic species of [Fe(H2O)6]2 and [Fe(CN)6], respect

Among the following molecules / ions, $$C_2^{2 - },N_2^{2 - },O_2^{2 - },{O_2}$$ which one is diamagnetic and has the sh

For a reaction scheme $$A\buildrel {{k_1}} \over \longrightarrow B\buildrel {{k_2}} \over \longrightarrow C$$, if the

The statement that is INCORRECT about the interstitial compounds is :

The major product obtained in the following reaction is :

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If CV

0.27 g of a long chain fatty acid was dissolved in 100 cm3 of hexane. 10 mL of this solution was added dropwise to the s

Which of the following compounds will show the maximum 'enol' content?

The correct statement about ICl5 and $$ICl_4^-$$ is

The major product obtained in the following reaction is

Consider the bcc unit cells of the solids 1 and 2 with the position of atoms as shown below. The radius of atom B is twi

Fructose and glucose can be distinguished by :

If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having waveleng

The strength of 11.2 volume solution of H2O2 is : [Given that molar mass of H = 1 g mol–1 and O = 16 g mol–1]

Polysubstitution is a major drawback in:

The Mond process is used for the

For the solution of the gases w, x, y and z in water at 298K, the Henrys law constants (KH) are 0.5, 2, 35 and 40 kbar,

The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at lea

A student scores the following marks in five tests : 45, 54, 41, 57, 43. His score is not known for the sixth test. If

The sum $$\sum\limits_{k = 1}^{20} {k{1 \over {{2^k}}}} $$ is equal to

If the eccentricity of the standard hyperbola passing through the point (4,6) is 2, then the equation of the tangent to

Let ƒ(x) = ax (a > 0) be written as ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd fun

If the system of linear equations x – 2y + kz = 1 2x + y + z = 2 3x – y – kz = 3 has a solution (x,y,z), z $$ \ne $$ 0,

If the lengths of the sides of a triangle are in A.P. and the greatest angle is double the smallest, then a ratio of len

The vector equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y+ 4z = 5 which

Which one of the following statements is not a tautology?

Let S($$\alpha $$) = {(x, y) : y2 $$ \le $$ x, 0 $$ \le $$ x $$ \le $$ $$\alpha $$} and A($$\alpha $$) is area of the r

Given that the slope of the tangent to a curve y = y(x) at any point (x, y) is $$2y \over x^2$$. If the curve passes th

Let $$\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedge $

If the fourth term in the binomial expansion of $${\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}

Let ƒ : R $$ \to $$ R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then $$\mathop {\lim }\limits_{x \to 0}

The tangent to the parabola y2 = 4x at the point where it intersects the circle x2 + y2 = 5 in the first quadrant, pa

Let the number 2,b,c be in an A.P. and A = $$\left[ {\matrix{ 1 & 1 & 1 \cr 2 & b & c \cr 4

If a point R(4, y, z) lies on the line segment joining the points P(2, –3, 4) and Q(8, 0, 10), then the distance of R fr

The number of integral values of m for which the equation (1 + m2 )x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is :

If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common

Let $$f(x) = \int\limits_0^x {g(t)dt} $$ where g is a non-zero even function. If ƒ(x + 5) = g(x), then $$ \int\limits_0

If $$z = {{\sqrt 3 } \over 2} + {i \over 2}\left( {i = \sqrt { - 1} } \right)$$, then (1 + iz + z5 + iz8)9 is equal to

The tangent and the normal lines at the point ( $$\sqrt 3 $$, 1) to the circle x2 + y2 = 4 and the x-axis form a triang

In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of

If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of ƒ(ƒ(ƒ(x))) + (ƒ(x))2 at x = 1 is :

If $$\int {{{dx} \over {{x^3}{{(1 + {x^6})}^{2/3}}}} = xf(x){{(1 + {x^6})}^{{1 \over 3}}} + C} $$ where C is a constant

Suppose that the points (h,k), (1,2) and (–3,4) lie on the line L1 . If a line L2 passing through the points (h,k) and

Let ƒ : [–1,3] $$ \to $$ R be defined as $$f(x) = \left\{ {\matrix{ {\left| x \right| + \left[ x \right]} & , &am

The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0,1,2,3,4,5 (repetition

Two vertical poles of heights, 20 m and 80 m stand a part on a horizontal plane. The height (in meters) of the point of

The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is

A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $$\pi $$/4 bet

Two very long, straight, and insulated wires are kept at 90° angle from each other in xy-plane as shown in the figure. T

In the circuit shown, a four-wire potentiometer is made of a 400 cm long wire, which extends between A and B. The resist

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all

An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is

In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antenna

A common emitter amplifier circuit, built using an npn transistor, is shown in the figure. Its dc current gain is 250, R

A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the

The magnetic field of an electromagnetic wave is given by :- $$\mathop B\limits^ \to = 1.6 \times {10^{ - 6}}\cos \lef

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wav

The ratio of mass densities of nuclei of 40Ca and 16O is close to :-

Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long an

A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Bot

A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy delivered by the

The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of th

A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for eve

A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The spe

The electric field in a region is given by $$\mathop E\limits^ \to = \left( {Ax + B} \right)\mathop i\limits^ \wedge

A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC cha

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portio

The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the eart

A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height

A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 8

If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the

In the figure shown, what is the current (in Ampere) drawn from the battery ? You are given: R1 = 15$$\Omega $$, R2 = 10

A body of mass m1 moving with an unknown velocity of $${v_1}\mathop i\limits^ \wedge $$, undergoes a collinear collisio

A nucleus A, with a finite de-broglie wavelength $$\lambda $$A, undergoes spontaneous fission into two nuclei B and C of

Let $$\left| {\mathop {{A_1}}\limits^ \to } \right| = 3$$, $$\left| {\mathop {{A_2}}\limits^ \to } \right| = 5$$ and

Two magnetic dipoles X and Y are placed at a separation d, with their axes perpendicular to each other. The dipole momen