The major product obtained in the following reaction is :

Which of the following compounds will behave as a reducing sugar in an aqueous KOH solution?

The correct sequence of reagents for the following conversion will be :

Sodium salt of an organic acid ‘X’ produces effervescence with conc. H2SO4. ‘X’ reacts with the acidified aqueous CaCl2

The major product obtained in the following reaction is :

3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stere

Which of the following, upon treatment with tert-BuONa followed by addition of bromine water, fails to decolorize the co

The increasing order of the reactivity of the following halides for the SN1 reaction is :

Which of the following compounds will form significant amount of meta product during mono-nitration reaction?

Which of the following molecules is least resonance stabilized?

In the following reactions, ZnO is respectively acting as a/an : (a) ZnO + Na2O $$\to$$ Na2ZnO2 (b) ZnO + CO2 $$\to$$ Zn

On treatment of 100 mL of 0.1 M solution of CoCl3. 6H2O with excess AgNO3; 1.2 $$\times$$ 1022 ions are precipitated. Th

The most abundant elements by mass in the body of a healthy human adult are: Oxygen (61.4%); Carbon (22.9%), Hydrogen (1

pKa of a weak acid (HA) and pKb of a weak base (BOH) are 3.2 and 3.4, respectively. The pH of their salt (AB) solution i

Which of the following reactions is an example of a redox reaction?

Given $$E_{C{l_2}/C{l^ - }}^o$$ = 1.36 V, $$E_{C{r^{3 + }}/Cr}^o$$ = - 0.74 V $$E_{C{r_2}{O_7}^{2 - }/C{r^{3 + }}}^o$$ =

Two reactions R1 and R2 have identical pre-exponential factors. Activation energy of R1 exceeds that of R2 by 10 kJ mol–

The freezing point of benzene decreases by 0.450C when 0.2 g of acetic acid is added to 20g of benzene. If acetic acid a

$$\Delta $$U is equal to :

The group having isoelectronic species is:

Given, $${C_{(graphite)}} + {O_2} \to C{O_2}(g)$$; $${\Delta _r}{H^o}$$ = - 393.5 kJ mol-1 $${{\rm H}_2}(g)$$ + $${1 \ov

The radius of the second Bohr orbit for hydrogen atom is: (Planck’s Const. h = 6.6262 × 10-34 Js; mass of electron = 9.1

Which of the following species is not paramagnetic?

1 gram of a carbonate (M2CO3) on treatment with excess HCl produces 0.01186 mole of CO2. The molar mass of M2CO3 in g mo

Let $$a$$, b, c $$ \in R$$. If $$f$$(x) = ax2 + bx + c is such that $$a$$ + b + c = 3 and $$f$$(x + y) = $$f$$(x) + $$f$

A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are

If for a positive integer n, the quadratic equation $$x\left( {x + 1} \right) + \left( {x + 1} \right)\left( {x + 2} \ri

If S is the set of distinct values of 'b' for which the following system of linear equations x + y + z = 1 x + ay + z =

If $$A = \left[ {\matrix{ 2 & { - 3} \cr { - 4} & 1 \cr } } \right]$$, then adj(3A2 + 12A) is equal

Let $$\omega $$ be a complex number such that 2$$\omega $$ + 1 = z where z = $$\sqrt {-3} $$. If $$\left| {\matrix{ 1

The function $$f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$$ defined as $$f\left( x \right) = {x \over {1 + {x^2

If $$5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9$$, then the value of $$\cos 4x$$ is :

For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or

If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as well

Let $$\overrightarrow a = 2\widehat i + \widehat j -2 \widehat k$$ and $$\overrightarrow b = \widehat i + \widehat j$$

Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (–k, 2) has area 28 sq. units. Then the o

If $$\left( {2 + \sin x} \right){{dy} \over {dx}} + \left( {y + 1} \right)\cos x = 0$$ and y(0) = 1, then $$y\left( {{\p

The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \

Let $${I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).$$ If $${I_4} + {I_6}$$ = $$a{\tan ^5}x + b{x^5} + C$

The integral $$\int\limits_{{\pi \over 4}}^{{{3\pi } \over 4}} {{{dx} \over {1 + \cos x}}} $$ is equal to

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area

If for $$x \in \left( {0,{1 \over 4}} \right)$$, the derivatives of $${\tan ^{ - 1}}\left( {{{6x\sqrt x } \over {1 - 9{x

$$\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\cot x - \cos x} \over {{{\left( {\pi - 2x} \right)}^3}}}$$ equals

A particle is executing simple harmonic motion with a time period T. At time t = 0, it is at its position of equilibrium

A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15cm from a converging lens of magnitud

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of ligh

In a coil of resistance 100 $$\Omega $$, a current is induced by changing the magnetic flux through it as shown in the f

When a current of 5 mA is passed through a galvanometer having a coil of resistance 15$$\Omega $$, it shows full scale d

A magnetic needle of magnetic moment 6.7 $$\times$$ 10-2 A m2 and moment of inertia 7.5 $$\times$$ 10-6 kg m2 is perform

In the given circuit, the current in each resistance is:

Which of the following statements is false?

In the given circuit diagram when the current reaches steady state in the circuit, the charge on the capacitor of capaci

An electric dipole has a fixed dipole moment $$\overrightarrow p $$, which makes angle $$\theta$$ with respect to x-axis

A capacitance of 2 $$\mu $$F is required in an electrical circuit across a potential difference of 1.0 kV. A large numbe

An electron beam is accelerated by a potential difference V to hit a metallic target to produce X–rays. It produces cont

CP and Cv are specific heats at constant pressure and constant volume respectively. It is observed that CP – Cv = a for

The temperature of an open room of volume 30 m3 increases from 17oC to 27oC due to the sunshine. The atmospheric pressur

An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the bulk modulu

The variation of acceleration due to gravity $$g$$ with distance d from centre of the earth is best represented by (R =

A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 17

A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains sa

A slender uniform rod of mass M and length $$l$$ is pivoted at one end so that it can rotate in a vertical plane (see fi

The moment of inertia of a uniform cylinder of length $$l$$ and radius R about its perpendicular bisector is $$I$$. What

A body of mass m = 10–2 kg is moving in a medium and experiences a frictional force F = –kv2. Its initial speed is v0 =

A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the fo

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs time?

The following observations were taken for determining surface tension T of water by capillary method: diameter of capill

Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r = $${{\lambda _1}}$$/$${{\lambd

A particle A of mass m and initial velocity v collides with a particle B of mass m/2 which is at rest. The collision is