Consider the following sequence for aspartic acid : The pI (isoelectric point) of aspartic acid is :

The plot shows the variation of −$$ln$$ Kp versus temperature for the two reactions. M(s) + $${1 \over 2}$$ O2(g) $$ \to

The test to distinguish primary, secondary and tertiary amines is :

Bouveault-Blanc reduction reaction involves :

The gas evolved on heating CH3MgBr in methanol is :

5 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperatur

An organic compound contains C, H and S. The minimum molecular weight of the compound containing 8% sulphur is : (atomi

The hydrocarbon with seven carbon atoms containing a neopentyl and a vinyl group is :

Which one of the following species is stable in aqueous solution?

Which one of the following complexes will consume more equivalents of aqueous solution of Ag(NO3)?

Identify the correct trend given below : (Atomic No.=Ti : 22, Cr : 24 and Mo : 42)

For the reaction, A(g) + B(g) $$ \to $$ C(g) + D(g), $$\Delta $$Ho and $$\Delta $$So are, respectively, − 29.8 kJ mol−

The group of molecules having identical shape is :

The non-metal that does not exhibit positive oxidation state is :

The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below :

A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous at high temperature. Identify the corr

What will occur if a block of copper metal is dropped into a beaker containing a solution of 1M ZnSO4?

The total number of orbitals associated with the principal quantum number 5 is :

The solubility of N2 in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 tor

Which intermolecular force is most responsible in allowing xenon gas to liquefy?

The amount of arsenic pentasulphide that can be obtained when 35.5 g arsenic acid istreated with excess H2S in the prese

Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :

If the four letter words (need not be meaningful ) are to be formed using the letters from the word “MEDITERRANEAN” such

For x $$ \in $$ R, x $$ \ne $$ -1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 = $$\sum\limits_{i

The number of distinct real roots of the equation, $$\left| {\matrix{ {\cos x} & {\sin x} & {\sin x} \cr

If P = $$\left[ {\matrix{ {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \cr { - {1 \over 2}} & {{{\sqrt 3 } \ov

If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $$\left| b \right|$$ is equ

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from ther

For x $$ \in $$ R, x $$ \ne $$ 0, Let f0(x) = $${1 \over {1 - x}}$$ and fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . . Th

The value of $$\sum\limits_{r = 1}^{15} {{r^2}} \left( {{{{}^{15}{C_r}} \over {{}^{15}{C_{r - 1}}}}} \right)$$ is equal

A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a d

If  m and M are the minimum and the maximum values of 4 + $${1 \over 2}$$ sin2 2x $$-$$ 2cos4 x, x $$ \in $$ R, the

Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the e

In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3$$\widehat i$$

If the mean deviation of the numbers 1, 1 + d, ..., 1 +100d from their mean is 255, then a value of d is :

The shortest distance between the lines $${x \over 2} = {y \over 2} = {z \over 1}$$ and $${{x + 2} \over { - 1}} = {{y

If A and B are any two events such that P(A) = $${2 \over 5}$$ and P (A $$ \cap $$ B) = $${3 \over {20}}$$, hen the cond

The point (2, 1) is translated parallel to the line L : x− y = 4 by $$2\sqrt 3 $$ units. If the newpoint Q lies in the t

The area (in sq. units) of the region described by A= {(x, y) $$\left| {} \right.$$y$$ \ge $$ x2 $$-$$ 5x + 4, x + y $$

If a variable line drawn through the intersection of the lines $${x \over 3} + {y \over 4} = 1$$ and $${x \over 4} + {y

If   f(x) is a differentiable function in the interval (0, $$\infty $$) such that f (1) = 1 and $$\mathop {

If   $$2\int\limits_0^1 {{{\tan }^{ - 1}}xdx = \int\limits_0^1 {{{\cot }^{ - 1}}} } \left( {1 - x + {x^2}} \ri

If   $$\int {{{dx} \over {{{\cos }^3}x\sqrt {2\sin 2x} }}} = {\left( {\tan x} \right)^A} + C{\left( {\tan x}

The minimum distance of a point on the curve y = x2−4 from the origin is :

If the function f(x) = $$\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \rig

If    $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {

Microwave oven acts on the principle of :

Consider a water jar of radius R that has water filled up to height H and is kept on astand of height h (see figure). Th

Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is $${1 \over 4}$$ the

To find the focal length of a convex mirror, a student records the following data : .tg {border-collapse:collapse;bord

A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. Th

A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the te

The truth table given in fig. represents : .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{font-fami

The potential (in volts) of a charge distribution is given by. V(z) = 30 $$-$$ 5x2 for $$\left| z \right|$$ $$ \le $$ 1

A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon. This photon strikes a doubly ionized lithium

In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm

A 50 $$\Omega $$ resistance is connected to a battery of 5 V. A galvanometer of resistance 100 $$\Omega $$ is to be used

When photons of wavelength $${\lambda _1}$$ are incident on an isolated sphere, the corresponding stopping potential is

A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the f

Three capacitors each of 4 $$\mu $$F are to be connected in such a way that the effective capacitance is 6 $$\mu $$F. Th

Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude a

The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is :

200 g water is heated from 40oC to 60oC. Ignoring the slight expansion of water, the change in its internal energy is cl

A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional f

A cubical block of side 30 cm is moving with velocity 2 ms−1 on a smooth horizontal surface. The surface has a bump at a

In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to

A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an

A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and aplane mirror are arranged as shown. Fo

A series LR circuit is connected to a voltage source with V(t) = V0 sin$$\Omega $$t. After very large time, current I(

In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum the

Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass fall

To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to de

An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of