The correct order of reactivity of the given chlorides with acetate in acetic acid is :

In the structure of the dichromate ion, there is a :

Which one of the following compounds contains $$\beta$$-C1-C4 glycosidic linkage?

The major products A and B in the following set of reactions are :

Which one of the following lanthanides exhibits +2 oxidation state with diamagnetic nature? (Given Z for Nd = 60, Yb = 7

The major product formed in the following reaction is :

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

The denticity of an organic ligand, biuret is :

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

Choose the correct name for compound given below :

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

Which one of the following 0.10 M aqueous solutions will exhibit the largest freezing point depression?

The structure of product C, formed by the following sequence of reactions is :

Consider the following cell reaction :$$C{d_{(s)}} + H{g_2}S{O_{4(s)}} + {9 \over 5}{H_2}{O_{(l)}}$$ $$\rightleftharpoon

The molarity of the solution prepared by dissolving 6.3 g of oxalic acid (H2C2O4.2H2O) in 250 mL of water in mol L$$-$$1

The total number of reagents from those given blow, that can convert nitrobenzene into aniline is ___________. (Integer

For a first order reaction, the ratio of the time for 75% completion of a reaction to the time for 50% completion is ___

The number of hydrogen bonded water molecule(s) associated with stoichiometry CuSO4.5H2O is ____________.

According to the following figure, the magnitude of the enthalpy change of the reactionA + B $$\to$$ M + N in kJ mol$$-$

Ge(Z = 32) in its ground state electronic configuration has x completely filled orbitals with ml = 0. The value of x is

A3B2 is a sparingly soluble salt of molar mass M (g mol$$-$$1) and solubility x g L$$-$$1. The solubility product satisf

The number of real roots of the equation $${e^{4x}} + 2{e^{3x}} - {e^x} - 6 = 0$$ is :

Let f be a non-negative function in [0, 1] and twice differentiable in (0, 1). If $$\int_0^x {\sqrt {1 - {{(f'(t))}^2}}

Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two vectors such that $$\left| {2\overrightarrow a + 3\overrig

The function $$f(x) = \left| {{x^2} - 2x - 3} \right|\,.\,{e^{\left| {9{x^2} - 12x + 4} \right|}}$$ is not differentiabl

Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the

Which of the following is not correct for relation R on the set of real numbers ?

The integral $$\int {{1 \over {\root 4 \of {{{(x - 1)}^3}{{(x + 2)}^5}} }}} \,dx$$ is equal to : (where C is a constant

If p and q are the lengths of the perpendiculars from the origin on the lines,x cosec $$\alpha$$ $$-$$ y sec $$\alpha$$

cosec18$$^\circ$$ is a root of the equation :

If the following system of linear equations2x + y + z = 5x $$-$$ y + z = 3x + y + az = bhas no solution, then :

The length of the latus rectum of a parabola, whose vertex and focus are on the positive x-axis at a distance R and S (&

If the function $$f(x) = \left\{ {\matrix{ {{1 \over x}{{\log }_e}\left( {{{1 + {x \over a}} \over {1 - {x \over b}}}

If $${{dy} \over {dx}} = {{{2^{x + y}} - {2^x}} \over {{2^y}}}$$, y(0) = 1, then y(1) is equal to :

$$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}\left( {\pi {{\cos }^4}x} \right)} \over {{x^4}}}$$ is equal to :

If $${a_r} = \cos {{2r\pi } \over 9} + i\sin {{2r\pi } \over 9}$$, r = 1, 2, 3, ....., i = $$\sqrt { - 1} $$, then the d

Let [t] denote the greatest integer $$\le$$ t. Then the value of $$8.\int\limits_{ - {1 \over 2}}^1 {([2x] + |x|)dx} $$

A point z moves in the complex plane such that $$\arg \left( {{{z - 2} \over {z + 2}}} \right) = {\pi \over 4}$$, then

If 'R' is the least value of 'a' such that the function f(x) = x2 + ax + 1 is increasing on [1, 2] and 'S' is the greate

The mean of 10 numbers 7 $$\times$$ 8, 10 $$\times$$ 10, 13 $$\times$$ 12, 16 $$\times$$ 14, ....... is ____________.

If the variable line 3x + 4y = $$\alpha$$ lies between the two circles (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1 and (x $$-$$ 9)2

The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all

If $$x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt} $$, x > $$-$$2, and $$\phi$$(0) = 4, then $$\phi$$(2) is _

If $$\left( {{{{3^6}} \over {{4^4}}}} \right)k$$ is the term, independent of x, in the binomial expansion of $${\left( {

An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The p

A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the groun

In the following logic circuit the sequence of the inputs A, B are (0, 0), (0, 1), (1, 0) and (1, 1). The output Y for t

Two particles A and B having charges 20$$\mu$$C and $$-$$5$$\mu$$C respectively are held fixed with a separation of 5 cm

An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the im

A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a' and 'b' respectively. Find

A body of mass M moving at speed V0 collides elastically with a mass 'm' at rest. After the collision, the two masses mo

The masses and radii of the earth and moon are (M1, R1) and (M2, R2) respectively. Their centres are at a distance 'r' a

A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a)

Choose the correct waveform that can represent the voltage across R of the following circuit, assuming the diode is idea

A uniform heavy rod of weight 10 kg ms$$-$$2, cross-sectional area 100 cm2 and length 20 cm is hanging from a fixed supp

Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter a

Match List - I with List - II. List - I List - II (a) Torque (i) MLT$$^{ -

For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the equation $${{dp} \over {dv}} =

Which of the following equations is dimensionally incorrect?Where t = time, h = height, s = surface tension, $$\theta$$

Angular momentum of a single particle moving with constant speed along circular path :

In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL = R = XC. Impedance of this ci

A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively.

Consider a galvanometer shunted with 5$$\Omega$$ resistance and 2% of current passes through it. What is the resistance

When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of ru

A particle of mass 1 kg is hanging from a spring of force constant 100 Nm$$-$$1. The mass is pulled slightly downward an

A square shaped wire with resistance of each side 3$$\Omega$$ is bent to form a complete circle. The resistance between

A wire having a linear mass density 9.0 $$\times$$ 10$$-$$4 kg/m is stretched between two rigid supports with a tension

The voltage drop across 15$$\Omega$$ resistance in the given figure will be ______________ V.

A block moving horizontally on a smooth surface with a speed of 40 ms$$-$$1 splits into two equal parts. If one of the p

The electric field in an electromagnetic wave is given by E = (50 NC$$-$$1) sin$$\omega$$ (t $$-$$ x/c)The energy contai

A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor

A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an acceleration of 10 ms$$-$$2 parallel to th