An acidic buffer is obtained on mixing :

The Kjeldahl method of Nitrogen estimation fails for which of the following reaction products?

Which one of the following compounds possesses the most acidic hydrogen?

The complex that can show optical activity is :

It is true that :

The atomic number of the element unnilennium is :

The photoelectric current from Na (Work function, w0 = 2.3 eV) is stopped by the output voltage of the cell Pt(s) | H2

The total number of monohalogenated organic products in the following (including stereoisomers) reaction is ______.

The volume strength of 8.9 M H2O2 solution calculated at 273 K and 1 atm is ______. (R = 0.0821 L atm K-1 mol-1) (round

The mole fraction of glucose (C6H12O6 ) in an aqueous binary solution is 0.1. The mass percentage of water in it, to the

Let CNaCl and CBaSO4 be the conductances (in S) measured for saturated aqueous solutions of NaCl and BaSO4, respectivel

The mechanism of SN1 reaction is given as : A student writes general characteristics based on the given mechanism as :

Henry’s constant (in kbar) for four gases $$\alpha $$, $$\beta $$, $$\gamma $$ and $$\delta $$ in water at 298 K is give

The electronic spectrum of [Ti(H2O)6]3+ shows a single broad peak with a maximum at 20,300 cm-1 . The crystal field stab

An organic compound [A], molecular formula C10H20O2 was hydrolyzed with dilute sulphuric acid to give a carboxylic acid

Glycerol is separated in soap industries by :

Of the species, NO, NO+, NO2+ and NO- , the one with minimum bond strength is :

Which of the following compounds produces an optically inactive compound on hydrogenation?

For the frequency distribution : Variate (x) :      x1   x2   x3 .... &nbs

2$$\pi $$ - $$\left( {{{\sin }^{ - 1}}{4 \over 5} + {{\sin }^{ - 1}}{5 \over {13}} + {{\sin }^{ - 1}}{{16} \over {65}}}

Let [t] denote the greatest integer $$ \le $$ t. If for some $$\lambda $$ $$ \in $$ R - {1, 0}, $$\mathop {\lim }\limits

The solution curve of the differential equation, (1 + e-x)(1 + y2)$${{dy} \over {dx}}$$ = y2, which passes through the p

If $$\alpha $$ and $$\beta $$ are the roots of the equation x2 + px + 2 = 0 and $${1 \over \alpha }$$ and $${1 \over \b

If the number of integral terms in the expansion of (31/2 + 51/8)n is exactly 33, then the least value of n is :

If $$\Delta $$ = $$\left| {\matrix{ {x - 2} & {2x - 3} & {3x - 4} \cr {2x - 3} & {3x - 4} & {4x

The value of (2.1P0 – 3.2P1 + 4.3P2 .... up to 51th term) + (1! – 2! + 3! – ..... up to 51th term) is equal to :

The function, f(x) = (3x – 7)x2/3, x $$ \in $$ R, is increasing for all x lying in :

If y2 + loge (cos2x) = y, $$x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)$$, then :

$$\int\limits_{ - \pi }^\pi {\left| {\pi - \left| x \right|} \right|dx} $$ is equal to :

Consider the two sets : A = {m $$ \in $$ R : both the roots of x2 – (m + 1)x + m + 4 = 0 are real} and B = [–3, 5). Wh

Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parab

The area (in sq. units) of the region { (x, y) : 0 $$ \le $$ y $$ \le $$ x2 + 1, 0 $$ \le $$ y $$ \le $$ x + 1, $${1 \o

A hyperbola having the transverse axis of length $$\sqrt 2 $$ has the same foci as that of the ellipse 3x2 + 4y2 = 12, t

If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the c

The lines $$\overrightarrow r = \left( {\widehat i - \widehat j} \right) + l\left( {2\widehat i + \widehat k} \right)$$

A dice is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4. Then the co

If $${\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}}

The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lin

If $$\mathop {\lim }\limits_{x \to 0} \left\{ {{1 \over {{x^8}}}\left( {1 - \cos {{{x^2}} \over 2} - \cos {{{x^2}} \over

The value of $${\left( {0.16} \right)^{{{\log }_{2.5}}\left( {{1 \over 3} + {1 \over {{3^2}}} + ....to\,\infty } \right)

Let A = $$\left[ {\matrix{ x & 1 \cr 1 & 0 \cr } } \right]$$, x $$ \in $$ R and A4 = [aij]. If a11 =

Two isolated conducting spheres S1 and S2 of radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu $$C and –3 $$\mu

An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bott

When a long glass capillary tube of radius 0.015 cm is dipped in a liquid, the liquid rises to a height of 15 cm within

A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis at 5 revolut

A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m

A bakelite beaker has volume capacity of 500 cc at 30oC. When it is partially filled with Vm volume (at 30oC) of mercur

Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose

Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying c

In a Young’s double slit experiment, light of 500 nm is used to produce an interference pattern. When the distance betwe

A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal surface and collides with a uniform

A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attac

When a diode is forward biased, it has a voltage drop of 0.5 V. The safe limit of current through the diode is 10 mA. If

An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in magnetic field as shown

When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm, the maximum kinetic energy of the

In the circuit shown in the figure, the total charge is 750 $$\mu $$C and the voltage across capacitor C2 is 20 V. Then

A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth’

A balloon filled with helium (32oC and 1.7 atm.) bursts. Immediately afterwards the expansion of helium can be considere

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :

A 750 Hz, 20 V (rms) source is connected to a resistance of 100 $$\Omega $$, an inductance of 0.1803 H and a capacitance

A charged particle carrying charge 1 $$\mu $$C is moving with velocity $$\left( {2\widehat i + 3\widehat j + 4\widehat k

The magnetic field of a plane electromagnetic wave is $$\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \le

Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicu

Model a torch battery of length $$l$$ to be made up of a thin cylindrical bar of radius ‘a’ and a concentric thin cylind

Using screw gauge of pitch 0.1 cm and 50 divisions on its circular scale, the thickness of an object is measured. It sho