Which one of the following phenols does not give colour when condensed with phthalic anhydride in presence of conc. H2SO

The bond order and magnetic behaviour of $$O_2^ - $$ ion are respectively :

Given below are two statements : one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : S

Match List - I with List - II :Choose the most appropriate match :

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

The major product in the above reaction is :

Indicate the complex/complex ion which did not show any geometrical isomerism :

Arrange the following Cobalt complexes in the order of increasing Crystal Field Stabilization Energy (CFSE) value.Comple

Which one of the following compounds is not aromatic?

The number of stereoisomers possible for 1, 2-dimethyl cyclopropane is :

Consider the given reaction, identify 'X' and 'Y' :

Consider the given reaction, the product A is :

In the sulphur estimation, 0.471 g of an organic compound gave 1.44 g of barium sulphate. The percentage of sulphur in t

The equilibrium constant Kc at 298 K for the reaction A + B $$\rightleftharpoons$$ C + D is 100. Starting with an equimo

For water $$\Delta$$vap H = 41 kJ mol$$-$$1 at 373 K and 1 bar pressure. Assuming that water vapour is an ideal gas that

A metal surface is exposed to 500 nm radiation. The threshold frequency of the metal for photoelectric current is 4.3 $$

For the galvanic cell,Zn(s) + Cu2+ (0.02 M) $$\to$$ Zn2+ (0.04 M) + Cu(s),Ecell = ______________ $$\times$$ 10$$-$$2 V.

100 mL of Na3PO4 solution contains 3.45 g of sodium. The molarity of the solution is _____________ $$\times$$ 10$$-$$2 m

The overall stability constant of the complex ion [Cu(NH3)4]2+ is 2.1 $$\times$$ 1013. The overall dissociations constan

83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the solution is ____________ K. (Nearest inte

The reaction rate for the reaction[PtCl4]2$$-$$ + H2O $$\rightleftharpoons$$ [Pt(H2O)Cl3]$$-$$ + Cl$$-$$was measured as

A chloro compound "A".(i) forms aldehydes on ozonolysis followed by the hydrolysis.(ii) when vaporized completely 1.53 g

Let [t] denote the greatest integer less than or equal to t. Let f(x) = x $$-$$ [x], g(x) = 1 $$-$$ x + [x], and h(x) =

Let $$A = \left( {\matrix{ 1 & 0 & 0 \cr 0 & 1 & 1 \cr 1 & 0 & 0 \cr } } \right

The local maximum value of the function $$f(x) = {\left( {{2 \over x}} \right)^{{x^2}}}$$, x > 0, is

If the value of the integral $$\int\limits_0^5 {{{x + [x]} \over {{e^{x - [x]}}}}dx = \alpha {e^{ - 1}} + \beta } $$, wh

Let y(x) be the solution of the differential equation 2x2 dy + (ey $$-$$ 2x)dx = 0, x > 0. If y(e) = 1, then y(1) is

The domain of the function $${{\mathop{\rm cosec}\nolimits} ^{ - 1}}\left( {{{1 + x} \over x}} \right)$$ is :

A fair die is tossed until six is obtained on it. Let x be the number of required tosses, then the conditional probabili

If $$\sum\limits_{r = 1}^{50} {{{\tan }^{ - 1}}{1 \over {2{r^2}}} = p} $$, then the value of tan p is :

Two fair dice are thrown. The numbers on them are taken as $$\lambda$$ and $$\mu$$, and a system of linear equationsx +

The locus of the mid points of the chords of the hyperbola x2 $$-$$ y2 = 4, which touch the parabola y2 = 8x, is :

The value of $$2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi } \over 8}} \right)\sin \left( {{{3\pi } \over 8

If $${\left( {\sqrt 3 + i} \right)^{100}} = {2^{99}}(p + iq)$$, then p and q are roots of the equation :

A hall has a square floor of dimension 10 m $$\times$$ 10 m (see the figure) and vertical walls. If the angle GPH betwee

The value of $$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}

A circle C touches the line x = 2y at the point (2, 1) and intersects the circle C1 : x2 + y2 + 2y $$-$$ 5 = 0 at two po

$$\mathop {\lim }\limits_{x \to 2} \left( {\sum\limits_{n = 1}^9 {{x \over {n(n + 1){x^2} + 2(2n + 1)x + 4}}} } \right)$

The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit "1" and they all are m

Let a and b respectively be the points of local maximum and local minimum of the function f(x) = 2x3 $$-$$ 3x2 $$-$$ 12x

If the projection of the vector $$\widehat i + 2\widehat j + \widehat k$$ on the sum of the two vectors $$2\widehat i +

Let a1, a2, ......., a10 be an AP with common difference $$-$$ 3 and b1, b2, ........., b10 be a GP with common ratio 2.

Let $$\lambda$$ $$\ne$$ 0 be in R. If $$\alpha$$ and $$\beta$$ are the roots of the equation x2 $$-$$ x + 2$$\lambda$$ =

Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four number

The least positive integer n such that $${{{{(2i)}^n}} \over {{{(1 - i)}^{n - 2}}}},i = \sqrt { - 1} $$ is a positive in

The temperature of equal masses of three different liquids x, y and z are 10$$^\circ$$C, 20$$^\circ$$C and 30$$^\circ$$C

The de-Broglie wavelength of a particle having kinetic energy E is $$\lambda$$. How much extra energy must be given to t

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle

A cylindrical container of volume 4.0 $$\times$$ 10$$-$$3 m3 contains one mole of hydrogen and two moles of carbon dioxi

The angle between vector $$\left( {\overrightarrow A } \right)$$ and $$\left( {\overrightarrow A - \overrightarrow B }

A light beam is described by $$E = 800\sin \omega \left( {t - {x \over c}} \right)$$. An electron is allowed to move nor

The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q respectively are separated by a distance

If you are provided a set of resistances 2$$\Omega$$, 4$$\Omega$$, 6$$\Omega$$ and 8$$\Omega$$. Connect these resistance

The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the m

A parallel plate capacitor with plate area A has separation d between the plates. Two dielectric slabs of dielectric con

A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb

An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be co

Four NOR gates are connected as shown in figure. The truth table for the given figure is :

Match List - I with List - II Choose the most appropriate answer from the options given below :

In the given circuit the AC source has $$\omega$$ = 100 rad s-1. Considering the inductor and capacitor to be ideal, wha

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is :

Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the

Two waves are simultaneously passing through a string and their equations are : y1 = A1 sin k(x $$-$$ vt), y2 = A2 sin k

A source of light is placed in front of a screen. Intensity of light on the screen is I. Two Polaroids P1 and P2 are so

If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revoluti

The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum to

A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s$$

Two simple harmonic motions are represented by the equations $${x_1} = 5\sin \left( {2\pi t + {\pi \over 4}} \right)$$

A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical plane between the pole pieces of permane

For the given circuit, the power across Zener diode is .............. mW.

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other

The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that