Deficiency of vitamin K causes :

In the following molecule,Hybridisation of Carbon a, b, and c respectively are :

Consider the given reaction, percentage yield of :

Given below are two statements :Statement I : C2H5OH and AgCN both can generate nucleophile.Statement II : KCN and AgCN

The oxide that shows magnetic property is :

In the reaction of hypobromite with amide, the carbonyl carbon is lost as :

The secondary valency and the number of hydrogen bonded water molecule(s) in CuSO4 . 5H2O, respectively, are :

The first ionization energy of magnesium is smaller as compared to that of elements X and Y, but higher than that of Z.

Given below are two statements :Statement I : Bohr's theory accounts for the stability and line spectrum of Li+ ion.Stat

The oxidation states of nitrogen in NO, NO2, N2O and NO$$_3^ - $$ are in the order of :

An organic compound "A" on treatment with benzene sulphonyl chloride gives compound B. B is soluble in dil. NaOH solutio

Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are :

Consider the above reaction, the product 'X' and 'Y' respectively are :

In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula [Ag(NH3)2]+

10.0 mL of Na2CO3 solution is titrated against 0.2 M HCl solution. The following titre values were obtained in 5 reading

The number of species below that have two lone pairs of electrons in their central atom is _________. (Round off to the

Consider the above reaction where 6.1 g of Benzoic acid is used to get 7.8 g of m-bromo benzoic acid. The percentage yie

The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and

The gas phase reaction $$2A(g) \rightleftharpoons {A_2}(g)$$ at 400 K has $$\Delta$$Go = + 25.2 kJ mol-1.The equilibrium

A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is _________ min. (Round off

The solubility of CdSO4 in water is 8.0 $$\times$$ 10$$-$$4 mol L$$-$$1. Its solubility in 0.01 M H2SO4 solution is ____

A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52$$^\circ$$C. The percentage associa

Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} = (y + 1)\left( {(y + 1){e^{{x^2}/2}} - x}

Let the system of linear equations 4x + $$\lambda$$y + 2z = 02x $$-$$ y + z = 0$$\mu$$x + 2y + 3z = 0, $$\lambda$$, $$\m

The area bounded by the curve 4y2 = x2(4 $$-$$ x)(x $$-$$ 2) is equal to :

If 15sin4$$\alpha$$ + 10cos4$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of 27sec6$$\alpha$$ + 8cosec6$$\

Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two non-zero vectors perpendicular to each other and $$|\overri

Let a complex number be w = 1 $$-$$ $${\sqrt 3 }$$i. Let another complex number z be such that |zw| = 1 and arg(z) $$-$$

Let f : R $$ \to $$ R be a function defined as$$f(x) = \left\{ \matrix{ {{\sin (a + 1)x + \sin 2x} \over {2x}},if\,x &

Let g(x) = $$\int_0^x {f(t)dt} $$, where f is continuous function in [ 0, 3 ] such that $${1 \over 3}$$ $$ \le $$ f(t) $

Let in a series of 2n observations, half of them are equal to a and remaining half are equal to $$-$$a. Also by adding a

In a triangle ABC, if $$|\overrightarrow {BC} | = 8,|\overrightarrow {CA} | = 7,|\overrightarrow {AB} | = 10$$, then the

Define a relation R over a class of n $$\times$$ n real matrices A and B as "ARB iff there exists a non-singular matrix

Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be al

Let f : R $$-$$ {3} $$ \to $$ R $$-$$ {1} be defined by f(x) = $${{x - 2} \over {x - 3}}$$.Let g : R $$ \to $$ R be give

Let S1 be the sum of first 2n terms of an arithmetic progression. Let S2 be the sum of first 4n terms of the same arithm

If $$\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)} $$, then the value of $$\alpha$$ is equal to

If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(

The term independent of x in the expansion of $${\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x

Let y = y(x) be the solution of the differential equation xdy $$-$$ ydx = $$\sqrt {({x^2} - {y^2})} dx$$, x $$ \ge $$ 1,

Let I be an identity matrix of order 2 $$\times$$ 2 and P = $$\left[ {\matrix{ 2 & { - 1} \cr 5 & { - 3}

Let f : R $$ \to $$ R satisfy the equation f(x + y) = f(x) . f(y) for all x, y $$\in$$R and f(x) $$\ne$$ 0 for any x$$\i

Let P(x) be a real polynomial of degree 3 which vanishes at x = $$-$$3. Let P(x) have local minima at x = 1, local maxim

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $$\left( {\over

If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of

An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move wit

In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$.

A particle of mass m moves in a circular orbit under the central potential field, $$U(r) = - {C \over r}$$, where C is

The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $${\overrightarrow L }$$. The

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as s

Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpend

The velocity $$-$$ displacement graph of a particle is shown in the figure.The acceleration $$-$$ displacement graph of

Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the av

The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L

A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as show

The function of time representing a simple harmonic motion with a period of $${\pi \over \omega }$$ is :

For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $$\gamma$$ is the r

A proton and an $$\alpha$$-particle, having kinetic energies Kp and K$$\alpha$$ respectively, enter into a magnetic fiel

An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the oth

Which of the following statements are correct?(A) Electric monopoles do not exist whereas magnetic monopoles exist.(B) M

Two wires of same length and thickness having specific resistances 6$$\Omega$$ cm and 3$$\Omega$$ cm respectively are co

Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm fr

A galaxy is moving away from the earth at a speed of 286 kms$$-$$1. The shift in the wavelength of a redline at 630 nm i

A ball of mass 4 kg, moving with a velocity of 10 ms$$-$$1, collides with a spring of length 8 m and force constant 100

Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bo

The radius of a sphere is measured to be (7.50 $$\pm$$ 0.85) cm. Suppose the percentage error in its volume is x. The va

The projectile motion of a particle of mass 5 g is shown in the figure.The initial velocity of the particle is $$5\sqrt

An infinite number of point charges, each carrying 1 $$\mu$$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m,