Calculate the molar mass of an element having density $5.6 \mathrm{~g} \mathrm{~cm}^{-3}$ that forms bec structure $\lef

Identify the products obtained in the ozonolysis of propene.

Identify the hybridisation and geometry of $\mathrm{SF}_4$ molecule respectively.

Which from following buffers is used to maintain the pH of human blood naturally?

Identify the carbon atoms of glucose and of fructose forming glycosidic bond in sucrose.

Resistance and conductivity of a cell containing 0.1 M KCl solution at 298 K are 115 ohm and $1.90 \times 10^{-6} \mathr

10 g each of $\mathrm{NH}_3, \mathrm{~N}_2, \mathrm{Cl}_2$ and $\mathrm{H}_2 \mathrm{~S}$ are expanded isothermally and

A solution of non volatile solute has boiling point elevation 0.5 K . Calculate molality of solution $\left[\mathrm{K}_{

Chlorine has two isotopes ${ }^{35} \mathrm{Cl}$ and ${ }^{37} \mathrm{Cl}$ with average atomic mass of 35.5 . What is t

Which among the following is NOT a true statement regarding enantiomers?

Which from following polymers is believed to leach human carcinogen in to food when used as household plastic?

Which from following molecules has trigonal planar geometry?

Which from following polymers is grouped under elastomers?

What type of following compounds is obtained in first step of Wolf-Kishner reduction of carbonyl compounds?

The reaction $2 \mathrm{~A}+\mathrm{B}+\mathrm{C} \longrightarrow \mathrm{D}+\mathrm{E}$ is found to be first order in A

Calculate mass in kg of $4.48 \mathrm{dm}^3$ carbon dioxide at STP.

Calculate the molar mass of solute in a solution prepared by dissolving 1 gram in $0.3 \mathrm{~dm}^3$ solvent having os

Identify the product obtained when chlorobenzene is heated with conc. $\mathrm{HNO}_3$ in presence of conc. $\mathrm{H}_

Which from following is a correct priority order for selection of principal functional group for nomenclature of polyfun

Which of the following is used to avoid leakage of electrolyte in dry cell?

Identify the polymer used to obtain LCD screen from following.

Identify the product X in the following reaction. Sodium propanoate $\xrightarrow[\Delta]{\text { soda-lime }} \mathrm{X

Which of the following changes involves transfer of 5 electrons?

Identify order of following reaction. $$\mathrm{H}_2 \mathrm{O}_{2(\mathrm{~g})} \longrightarrow 2 \mathrm{H}_2 \mathrm{

Assuming complete ionisation, arrange the following solutions in order of increasing osmotic pressure. a) $0.5 \mathrm{~

Which isomer of $\mathrm{C}_4 \mathrm{H}_9 \mathrm{OH}$ has lower boiling point?

Which element from following in +2 state exhibits highest magnetic moment?

Which from following anions has maximum coagulating power for precipitation of positive sol?

What is the oxidation state of central metal ion in $\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}$ complex?

Which one of the following compounds does not react with acetyl chloride?

For the reaction, $\mathrm{N}_{2(\mathrm{g})}+3 \mathrm{H}_{2(\mathrm{g})} \longrightarrow 2 \mathrm{NH}_{3(\mathrm{g})}

What is the coordination number of a particle in fcc structure?

Which of the following elements does not react with water to form metal hydroxide?

Identify the major product formed when 2-Methylhexan-3-ol is heated with concentrated sulphuric acid.

What is the highest oxidation state of third row transition elements?

Calculate the solubility of sparingly soluble salt BA in $\mathrm{mol} \mathrm{dm}^{-3}$ at 300 K if its solubility prod

Which of the following amines undergoes acylation reaction?

Which from following is a formula of sodium hexafluoroaluminate(III)?

Identify the factor from following on which heat of reaction does not depend.

What type of following forces is present ethylene glycol?

Calculate the volume of fcc unit cell if radius of a particle in it is 106.05 pm.

Identify product ' B ' in the following reaction. Cumene $\mathrm{A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}} \mathrm{B

What is the name of isobutyl alcohol according to carbinol system?

Which from following elements has highest value of ionization enthalpy $\left(\Delta_{\mathrm{I}} \mathrm{H}_1\right)$ ?

Calculate the pH of buffer solution containing 0.04 M NaF and $0.02 \mathrm{~M~HF}\left[\mathrm{pK}_a=3 \cdot 142\right]

Which from following is NOT a globular protein?

What is the quantity of electricity required to produce 4.8 g of Mg (molar mass $=24 \mathrm{~g} \mathrm{~mol}^{-1}$ ) f

Which parameter is indicated by the number of waves passing through a given point in one second?

For the reaction, $$2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow 2 \mathrm{H}_2 \mathrm{O}_

Which is the most commonly used refrigerant Freon-12?

The maximum value of $z=4 x+2 y$, subject to the constraints $3 x+4 y \geqslant 12, x+y \leqslant 5, x, y \geqslant 0$ i

The value of $\int \frac{x+1}{x\left(1+x \mathrm{e}^x\right)^2} \mathrm{dx}$ is equal to

If $\mathrm{p} \rightarrow(\sim \mathrm{p} \vee \sim \mathrm{q})$ is false, then the truth values of p and q are respect

Let $\alpha, \beta$ be the roots of the equation $x^2-\mathrm{p} x+\mathrm{r}=0$ and $\frac{\alpha}{2}, 2 \beta$ be the

Let $\quad \overline{\mathrm{a}}=\alpha \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}}, \quad \overline{\mathrm{b}

The function $\mathrm{f}(x)=2 x^3-6 x+5$ is an increasing function, if

Let $2 \sin ^2 x+3 \sin x-2>0$ and $x^2-x-2

Let $\overline{\mathrm{a}}, \overline{\mathrm{b}}$ and $\overline{\mathrm{c}}$ be vectors of magnitude 2,3 and 4 respect

A square plate is contracting at the uniform rate $3 \mathrm{~cm}^2 / \mathrm{sec}$, then the rate at which the perimete

The area (in sq. units), in the first quadrant bounded by the curve $y=x^2+2$ and the lines $y=x+1, x=0$ and $x=2$, is

The vector $\bar{a}=\alpha \hat{i}+2 \hat{j}+\beta \hat{k}$ lies in the plane of the vectors $\overline{\mathrm{b}}=\hat

$2 \pi-\left(\sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}\right)$ is equal to

For the matrix $A=\left[\begin{array}{ccc}2 & 0 & -1 \\ 3 & 1 & 2 \\ -1 & 1 & 2\end{array}\right]$, the matrix of cofact

If $y=\sin ^{-1}\left(\frac{3 x}{2}-\frac{x^3}{2}\right)$, then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ is equal to

A unit vector coplanar with $\hat{i}+\hat{j}+\hat{k}$ and $2 \hat{i}+\hat{j}+\hat{k}$ and perpendicular to $\hat{i}+\hat

Negation of the statement ' Horses have wings if and only if crows have tails. ' is

A plane which is perpendicular to two planes $2 x-2 y+z=0$ and $x-y+2 z=4$, passes through $(1,2,1)$. The distance of th

If $\log (x+y)=\sin (x+y)$, then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ is

$$\int \sqrt{\mathrm{e}^x-1} \mathrm{dx}=$$

The variance of 20 observations is 5 . If each observation is multiplied by 3 and then 8 is added to each number, then v

The value of m such that $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z+m}{2}$ lies in the plane $2 x-4 y+z=7$ is

Four persons can hit a target correctly with probabilities $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ res

A poster is to be printed on a rectangular sheet of paper of area $18 \mathrm{~m}^2$. The margins at the top and bottom

The approximate value of $(3.978)^{3 / 2}$ is

The number of integral values of $k$, for which the equation $7 \cos x+5 \sin x=2 \mathrm{k}+1$ has a solution, is

The domain of definition of the function $f(x)$ given by the equation $2^x+2^y=2$ is

Let $\bar{a}=3 \hat{i}-\alpha \hat{j}+\hat{k}$ and $\bar{b}=\hat{i}+\alpha \hat{j}+3 \hat{k}$. If the area of the parall

If $\mathrm{A}, \mathrm{B}, \mathrm{C}$ are the angles of a triangle with $\tan \frac{A}{2}=\frac{1}{3}, \tan \frac{B}{2

A line with positive direction cosines passes through the point $\mathrm{P}(2,1,2)$ and makes equal angles with the coor

The equation of the tangent to the curve $x=\operatorname{acos}^3 \theta, y=\operatorname{asin}^3 \theta$ at $\theta=\fr

$$\lim _\limits{x \rightarrow \frac{\pi}{2}} \frac{(1-\sin x)\left(8 x^3-\pi^3\right) \cos x}{(\pi-2 x)^4}$$

The integral $\int_{\frac{\pi}{6}}^{\frac{\pi}{4}} \frac{d x}{\sin 2 x\left(\tan ^5 x+\cot ^5 x\right)}$ is equal to

The equation of the circle, concentric with the circle $x^2+y^2-6 x-4 y-12=0$ and touching the $\mathrm{X}$-axis is

Let $\mathrm{f}(x)=\mathrm{e}^x, \mathrm{~g}(x)=\sin ^{-1} x$ and $\mathrm{h}(x)=\mathrm{f}(\mathrm{g}(x))$, then $\left

The joint equation of pair of lines through the origin and making an angle of $\frac{\pi}{6}$ with the line $3 x+y-6=0$

A line $4 x+y=1$ passes through the point $\mathrm{A}(2,-7)$ meets the line BC whose equation is $3 x-4 y+1=0$ at the po

The value of $\int \frac{\mathrm{d} x}{(x+1)^{3 / 4}(x-2)^{5 / 4}}$ is equal to

The smallest positive value of $x$ in degrees satisfying the equation $\tan \left(x+100^{\circ}\right)=\tan \left(x+50^{

If $\int \frac{\cos x-\sin x}{\sqrt{8-\sin 2 x}} d x=a \sin ^{-1}\left(\frac{\sin x+\cos x}{b}\right)+c$ Where c is a co

Let L be the line of intersection of the planes $2 x+3 y+z=1$ and $x+3 y+2 z=2$. If L makes an angle $\alpha$ with the p

Consider a group of 5 boys and 7 girls. The number of different teams, consisting of 2 boys and 3 girls that can be form

If the mean and the variance of a Binomial variate X are 2 and 1 respectively, then the probability that X takes a value

The general solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{y+\sqrt{x^2-y^2}}{x}$ is

A bag contains 4 red and 3 black balls. One ball is drawn and then replaced in the bag and the process is repeated. Let

In a certain culture of bacteria, the rate of increase is proportional to the number present. If there are $10^4$ at the

The number of solutions, of $2^{1+|\cos x|+|\cos x|^2+\ldots \ldots \cdots \cdots}=4$ in $(-\pi, \pi)$, is

Let $\mathrm{f}(x)=x\left[\frac{x}{2}\right]$, for $-10

Let $\hat{a}$ and $\hat{b}$ be two unit vectors. If the vectors $\overline{\mathrm{c}}=\hat{\mathrm{a}}+2 \hat{\mathrm{~

Integrating factor of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}+y=\frac{1+y}{x}$ is

A service station manager sells gas at an average of ₹ 100 per hour on a rainy day, ₹ 150 per hour on a dubious day, ₹ 2

A stationary wave is formed having 3 nodes along the length of the string 90 cm . The wavelength of the wave is

The spectral series observed for hydrogen atom found in visible region is

Three liquids of densities $\rho_1, \rho_2$ and $\rho_3$ (with $\rho_1>\rho_2>\rho_3$ ) having same value of surface ten

The following figures show the variation of displacement with time of a particular object.

A particle of mass ' m ' is rotating in a circular path of radius ' $r$ '. Its angular momentum is ' $L$ ' The centripet

Two identical galvanometers are converted into voltmeter and millivoltmeter. As compared to the series resistance of vol

The diagram shows the propagation of a progressive wave. A, B, C, D, E are five points on this wave Which of the follow

Using Einstein's photoelectric equation, the graph between kinetic energy of emitted photoelectrons and the frequency of

A string of mass 0.2 Kg is under a tension of 2.5 N . The length of the string is 2 m. A transverse wave starts from one

In the Young's double slit experiment, the intensity at a point on the screen, where the path difference is $\lambda(\la

The P-V diagrams for particular gas of different thermodynamic processes are given by

A musical instrument ' $P$ ' produces sound waves of frequency ' $n$ ' and amplitude ' $A$ '. Another musical instrument

Concave and convex lenses are placed touching each other. The ratio of magnitudes of their power is $2: 3$. The focal le

The figure shows the variation of photocurrent with anode potential for four different radiations. Let $f_a, f_b, f_c$ a

A disc at rest is subjected to a uniform angular acceleration about its axis. Let $\theta$ and $\theta_1$ be the angle m

Let ' $n$ ' is the number of liquid drops, each with surface energy ' $E$ '. These drops join to form single drop. In th

The van de Graaff Generator is not based on

Two coils of self-inductance 25 mH and 9 mH are placed close together such that the effective flux in one coil is comple

The electric flux over a sphere of radius ' $r$ ' is ' $\phi$ '. If the radius of the sphere is doubled without changing

Consider the following circuit. By keeping $\mathrm{S}_1$ closed, the capacitor is fully charged and then $S_1$ is opene

In the working of photodiode, the reverse current depends on

A satellite is revolving around a planet in a circular orbit close to its surface. Let ' $\rho$ ' be the mean density an

A current carrying circular loop of radius ' $R$ ' and current carrying long straight wire are placed in the same plane.

A square loop ABCD is moving with constant velocity ' $\vec{v}$ ' in a uniform magnetic field ' $\vec{B}$ ' which is per

The fringe width in an interference pattern is ' X '. The distance between the sixth dark fringe from one side of centra

A particle is executing a linear simple harmonic motion. Let ' $\mathrm{V}_1$ ' and ' $\mathrm{V}_2$ ' are its speed at

In hydrogen atom, if $\mathrm{V}_{\mathrm{n}}$ and $\mathrm{V}_{\mathrm{p}}$ are orbital velocities in $\mathrm{n}^{\tex

The work done in splitting a water drop of radius R into 64 droplets is ( $\mathrm{T}=$ Surface tension of water)

The potential difference that must be applied across the series and parallel combination of 4 identical capacitors is su

A metal rod of weight ' $W$ ' is supported by two parallel knife-edges A and B . The rod is in equilibrium in horizontal

Potential difference between the points A and B is nearly

An ideal gas $(\gamma=1.5)$ is expanded adiabatically. To reduce root mean square velocity of molecules two times, the g

An e.m.f. $E=E_0 \cos \omega t$ is applied to circuit containing L and R in series. If $\mathrm{X}_{\mathrm{L}}=2 \mathr

In the following circuit, the reading in the ammeter is

A black body radiates power ' P ' and maximum energy is radiated by it at a wavelength $\lambda_0$. The temperature of t

In Young's double slit experiment using monochromatic light of wavelength ' $\lambda$ ', the maximum intensity of light

When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

 The correct relation between total magnetic field $(B)$, magnetic intensity $(\mathrm{H})$, permeability of free space

The resultant gate and its Boolean expression in the given circuit is

The temperature of a liquid falls from 365 K to 359 K in 3 minutes. The time during which temperature of this liquid fal

Air capacitor has capacitance of $1 \mu \mathrm{~F}$. Now the space between two plates of capacitor is filled with two d

In an isobaric process of an ideal gas, the ratio of work done by the system (W) during the expansion and the heat excha

A long solenoid carrying a current produces magnetic field B along its axis. If the number of turns per cm are tripled a

An astronomical telescope has a large aperture to

A sonometer wire is in unison with a tuning fork of frequency ' $n$ ' when it is stretched by a weight of specific gravi

The radius of the planet is double that of the earth, but their average densities are same. $\mathrm{V}_{\mathrm{p}}$ an

Three thin rods, each mass ' 2 M ' and length ' L ' are placed along $\mathrm{x}, \mathrm{y}$ and z axis which are mutua

The magnetic potential energy stored in certain inductor is $64 \times 10^{-3} \mathrm{~J}$, when the current in the ind

Two identical drops of water are falling through air with steady velocity ' V '. If the two drops come together to form

The equations of two waves are given as $$\begin{aligned} & y_1=a \sin \left(\omega t+\phi_1\right) \\ & y_2=a \sin \lef