In the following reaction A is :

Which of the following reactions will not produce a racemic product?

The first and second ionisation enthalpies of a metal are 496 and 4560 kJ mol–1, respectively. How many moles of HCl and

A, B and C are three biomolecules. The results of the tests performed on them are given below: $$ \begin{array}{|l|l|l|l

Consider the following reactions The mass percentage of carbon in A is ______.

10.30 mg of O2 is dissolved into a liter of sea water of density 1.03 g/mL. The concentration of O2 in ppm is__________.

The sum of the total number of bonds between chromium and oxygen atoms in chromate and dichromate ions is ____________.

A sample of milk splits after 60 min. at 300 K and after 40 min. at 400 K when the population of lactobacillus acidophil

A cylinder containing an ideal gas (0.1 mol of 1.0 dm3) is in thermal equilibrium with a large volume of 0.5 molal aqueo

The true statement amongst the following is :

The number of sp2 hybrid orbitals in a molecule of benzene is :

The isomer(s) of [Co(NH3)4Cl2] that has/have a Cl–Co–Cl angle of 90°, is/are :

The reaction of H3N3B3Cl3 (A) with LiBH4 in tetrahydrofuran gives inorganic benzene (B). Further, the reaction of (A) wi

Consider the following reactions, The compound [P] is :

5 g of zinc is treated separately with an excess of (a) dilute hydrochloric acid and (b) aqueous sodium hydroxide. The r

The solubility product of Cr(OH)3 at 298 K is 6.0 × 10–31. The concentration of hydroxide ions in a saturated solution o

The decreasing order of basicity of the following amines is :

In the figure shown below reactant A (represented by square) is in equilibrium with product B (represented by circle). T

Which of the following has the shortest C-Cl bond?

The correct order of the spin-only magnetic moments of the following complexes is : (I) [Cr(H2O)6]Br2 (II) Na4[Fe(CN)6]

If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes conta

The number of terms common to the two A.P.'s 3, 7, 11, ....., 407 and 2, 9, 16, ....., 709 is ______.

In the expansion of $${\left( {{x \over {\cos \theta }} + {1 \over {x\sin \theta }}} \right)^{16}}$$, if $${\ell _1}$$ i

Let a – 2b + c = 1. If $$f(x)=\left| {\matrix{ {x + a} & {x + 2} & {x + 1} \cr {x + b} & {x + 3} &am

If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be :

If $$\int {{{d\theta } \over {{{\cos }^2}\theta \left( {\tan 2\theta + \sec 2\theta } \right)}}} = \lambda \tan \theta

If $${{dy} \over {dx}} = {{xy} \over {{x^2} + {y^2}}}$$; y(1) = 1; then a value of x satisfying y(x) = e is :

Let a function ƒ : [0, 5] $$ \to $$ R be continuous, ƒ(1) = 3 and F be defined as : $$F(x) = \int\limits_1^x {{t^2}g(t)d

Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three vectors such that $$\left| {\over

If A = {x $$ \in $$ R : |x| < 2} and B = {x $$ \in $$ R : |x – 2| $$ \ge $$ 3}; then :

If $$x = \sum\limits_{n = 0}^\infty {{{\left( { - 1} \right)}^n}{{\tan }^{2n}}\theta } $$ and $$y = \sum\limits_{n = 0

Given : $$f(x) = \left\{ {\matrix{ {x\,\,\,\,\,,} & {0 \le x < {1 \over 2}} \cr {{1 \over 2}\,\,\,\,,} &a

If $$x = 2\sin \theta - \sin 2\theta $$ and $$y = 2\cos \theta - \cos 2\theta $$, $$\theta \in \left[ {0,2\pi } \righ

A random variable X has the following probability distribution : .tg {border-collapse:collapse;border-spacing:0;width:

Let a, b $$ \in $$ R, a $$ \ne $$ 0 be such that the equation, ax2 – 2bx + 5 = 0 has a repeated root $$\alpha $$, which

The following system of linear equations 7x + 6y – 2z = 0 3x + 4y + 2z = 0 x – 2y – 6z = 0, has

Let [t] denote the greatest integer $$ \le $$ t and $$\mathop {\lim }\limits_{x \to 0} x\left[ {{4 \over x}} \right] = A

If the curves, x2 – 6x + y2 + 8 = 0 and x2 – 8y + y2 + 16 – k = 0, (k > 0) touch each other at a point, then the larg

Let ƒ and g be differentiable functions on R such that fog is the identity function. If for some a, b $$ \in $$ R, g'(a)

Let an be the nth term of a G.P. of positive terms. $$\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200} $$ and $$\sum\limit

In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is $$

An electric field $$\overrightarrow E = 4x\widehat i - \left( {{y^2} + 1} \right)\widehat j$$ N/C passes through the bo

In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of wavelength 50

The circuit shown below is working as a 8 V dc regulated voltage source. When 12 V is used as input, the power dissipate

Starting at temperature 300 K, one mole of an ideal diatomic gas ($$\gamma $$ = 1.4) is first compressed adiabatically f

An electron of mass m and magnitude of charge |e| initially at rest gets accelerated by a constant electric field E. The

Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored

For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i)

Planet A has mass M and radius R. Planet B has half the mass and half the radius of Planet A. If the escape velocities f

A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A ma

Two identical capacitors A and B, charged to the same potential 5V are connected in two different circuits as shown belo

The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radia

A particle starts from the origin at t = 0 with an initial velocity of 3.0 $$\widehat i$$ m/s and moves in the x-y plane

An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a

A particle of mass m is projected with a speed u from the ground at an angle $$\theta = {\pi \over 3}$$ w.r.t. horizon

Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the s

There is a small source of light at some depth below the surface of water (refractive index = $${4 \over 3}$$) in a tank

In LC circuit the inductance L = 40 mH and capacitance C = 100 $$\mu $$F. If a voltage V(t) = 10sin(314t) is applied to

The current i in the network is :

A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform magnetic field B

A small spherical droplet of density d is floating exactly half immersed in a liquid of density $$\rho $$ and surface te

A plane electromagnetic wave is propagating along the direction $${{\widehat i + \widehat j} \over {\sqrt 2 }}$$ , with

A rod of length L has non-uniform linear mass density given by $$\rho $$(x) = $$a + b{\left( {{x \over L}} \right)^2}$$

A spring mass system (mass m, spring constant k and natural length $$l$$) rest in equilibrium on a horizontal disc. The

A wire of length L and mass per unit length 6.0 × 10–3 kgm–1 is put under tension of 540 N. Two consecutive frequencies