The color of the $${X_2}$$ molecules of group $$17$$ elements changes gradually from yellow to violet down the group. T

For the synthesis of benzoic acid, the only CORRECT combination is

The correct statement(s) about the oxoacids, $$HCl{O_4}$$ and $$HClO$$ is (are)

An ideal gas is expanded from $$\left( {{p_1},{V_1},{T_1}} \right)$$ to $$\left( {{p_2},{V_2},{T_2}} \right)$$ under dif

Addition of excess aqueous ammonia to a pink colored aqueous solution of $$MC{l_2},6{H_2}O\left( X \right)$$ and $$N{H_

The conductance of a $$0.0015$$ $$M$$ aqueous solution of a weak monobasic acid was determined by using a conductivity c

A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of $$400$$ $$pm.$$ If the d

The sum of the number of lone pairs of electrons on each central atom in the following species is $${[TeB{r_6}]^{2 - }}

Among $${H_2},H{e_2}^ + ,L{i_2},$$ $$B{e_2},{B_2},{C_2},{N_2},O_2^ - $$ and $${F_2},$$ the number of diamagnetic species

Among the following, the number of aromatic compound(s) is

The correct statements(s) for the following addition reactions is (are)

For a solution formed by mixing liquids $$L$$ and $$M,$$ the vapor pressure of $$L$$ plotted against the mole fraction o

The IUPAC name(s) of the following compound is (are)

The only CORRECT combination in which the reaction proceeds through radical mechanism is :

The only CORRECT combination that gives two different carboxylic acids is :

For $$H{e^ + }$$ ion, the only INCORRECT combination is

For hydrogen atom, the only CORRECT combination is :

For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is :

Let X and Y be two events such that $$P(X) = {1 \over 3}$$, $$P(X|Y) = {1 \over 2}$$ and $$P(Y|X) = {2 \over 5}$$. Then

Let f : R $$ \to $$ (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero

Let a, b, x and y be real numbers such that a $$-$$ b = 1 and y $$ \ne $$ 0. If the complex number z = x + iy satisfies

If $$2x - y + 1 = 0$$ is a tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {16}} = 1$$ then which of

Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function $$f(x) =

Which of the following is(are) NOT the square of a 3 $$ \times $$ 3 matrix with real entries?

If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and mid-point (h, k), then whi

For a real number $$\alpha $$, if the system$$\left[ {\matrix{ 1 & \alpha & {{\alpha ^2}} \cr \alpha &

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length

Let f : R $$ \to $$ R be a differentiable function such that f(0) = 0, $$f\left( {{\pi \over 2}} \right) = 3$$ and f'(0

For how many values of p, the circle x2 + y2 + 2x + 4y $$-$$ p = 0 and the coordinate axes have exactly three common poi

Words of length 10 are formed using the letters A, B, C, D, E, F, G, H, I, J. Let x be the number of such words where no

For $$a = \sqrt 2 $$, if a tangent is drawn to a suitable conic (Column 1) at the point of contact ($$-$$1, 1), then whi

The tangent to a suitable conic (Column 1) at $$\left( {\sqrt 3 ,\,{1 \over 2}} \right)$$ is found to be $$\sqrt 3 x + 2

If a tangent to a suitable conic (Column 1) is found to be y = x + 8 and its point of contact is (8, 16), then which of

Which of the following options is the only INCORRECT combination?

Which of the following options is the only CORRECT combination?

Which of the following options is the only CORRECT combination?

In which case will the particle move in a straight line with constant velocity?

A block $$M$$ hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the

A flat plate is moving normal to its plane through a gas under the reaction of a constant force $$F.$$ The gas is kept a

A human body has a surface area of approximately $$1\,m{}^2.$$ The normal body temperature is $$10$$ $$K$$ above the sur

A circular insulated copper wire loop is twisted to form two loops of area $$A$$ and $$2A$$ as shown in the figure. At t

In the circuit shown, $$L = 1\,\mu H,C = 1\,\mu F\,$$ and $$R = 1\,k\Omega .$$ They are connected in series with an a.c.

For an isosceles prism of angle $$A$$ and refractive index $$\mu $$, it is found that the angle of minimum deviation $${

An electron in a hydrogen atom undergoes a transition from an orbit with quantum number $${n_i}$$ to another with quantu

A drop of liquid of radius $$R = {10^{ - 2}}\,m$$ having surface tension $$S = {{0.1} \over {4\pi }}N{m^{ - 1}}$$ divid

A monochromatic light is travelling in a medium of refractive index $$n=1.6.$$ It enters a stack of glass layers from th

A stationary source emits sound of frequency $${f_0} = 492\,Hz.$$ The sound is reflected by a large car approaching the

$${}^{131}{\rm I}$$ is an isotope of Iodine that $$B$$ decays to an isotope of Xenon with a half-life of $$8$$ days. A

In which case will the particle describe a helical path with axis along the positive $$z$$ direction?

In which case would the particle move in a straight line along the negative direction of $$y$$-axis (i.e., move along $$

Which one of the following options is the correct combination?

Which of the following options is the only correct representation of a process in which $$\Delta U = \Delta Q - P\Delta

Which one of the following options correctly represents a thermodynamic process that is used as a correction in the dete

A block of mass $$M$$ has a circular cut with a frictionless surface as shown. The block resets on the horizontal fricti