Which of following methods is used to separate wolframite and stannic oxide present in cassiterite?

$$\begin{aligned} & \text { In the reaction, } \\ & \mathrm{MnO}_4^{-1}(a q)+\mathrm{Br}^{-1}(a q) \longrightarrow \mathrm{MnO}_2(s)+\mathrm{BrO}_3^{-1}(a q) \end{aligned}$$

,the correct change in oxidation number of the species involved is

How many isoprene units are present in abscisic acid?

Action of hydrogen iodide on anisole gives,

Which among the following compounds is used to decaffeinate coffee?

Which complex among the following gives a white precipitate on treatment with an aqueous solution of barium chloride?

When $\mathrm{CuSO}_4$ solution in water is treated with concentrated HCl it turns

Which of the following polymer is used in paints?

Three moles of an ideal gas are expanded isothermally from a volume of $300 \mathrm{~cm}^3$ to 2.5 L at 300 K against a pressure of 1.9 atm . The work done in joules is

Which among the following is used in the treatment of cancer?

Which among the following pairs of compounds is not isomorphous?

Which among the following compounds is used as selective weed killer?

Calculate the difference between heat of combustion of carbon monoxide gas at constant pressure and at constant volume at $27^{\circ} \mathrm{C} ?\left(R=2 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}\right)$

The conductivity of an electrolytic solution decreases on dilution due to

Identify $B$ in the following reaction,

$$\text { Acetaldoxime } \xrightarrow[\text { alcohol }]{\mathrm{Na}} A \xrightarrow[\text { HCl }]{\mathrm{NaNO}_2} B+\mathrm{H}_2 \mathrm{O}+\mathrm{N}_2 \uparrow$$

Which among the following solids shows Frenkel defect?

A cold drink bottle contains 200 mL liquid, in which $\mathrm{CO}_2$ is 0.1 molar. Considering $\mathrm{CO}_2$ as an ideal gas the volume of the dissolved $\mathrm{CO}_2$ at S.T.P is

In the reaction,

$2 n R-X \xrightarrow[\text { Dry ether }]{+2 n \mathrm{Na}}$ product

The product obtained is

The bacteriostatic antibiotic from the following is

Nitroalkanes are obtained in laboratory from primary or secondary alkyl halides by the action of

Which of following bonds has maximum bond length?

Which of the following sets of components form homogeneous mixture?

Which among the following compounds in crystalline form is used for making Nicol's prism?

Two electrolytic cells are connected in series containing $\mathrm{CuSO}_4$ solution and molten $\mathrm{AlCl}_3$. If in electrolysis 0.4 moles of 'Cu' are deposited on cathode of first cell. The number of moles of 'Al' deposited on cathode of the second cell is

Mandelonitrile is obtained by the reaction between hydrogen cyanide and

The ionic charges on chromate ion and dichromate ion respectively is

In the reaction, $\mathrm{C}_6 \mathrm{H}_5 \mathrm{COCH}_3 \xrightarrow[\mathrm{Zn}-\mathrm{Hg} / \text { conc. } \mathrm{HCl}]{[\mathrm{H}]} X,X$ is

What is the percentage of carbon in urea? (Atomic mass $C=12, H=1, N=14, O=16$)

$\alpha$ - butylene when subjected to hydroboration oxidation reaction, yields

Calculate van't Hoff-factor for 0.2 m aqueous solution of KCl which freezes at $-0.680^{\circ} \mathrm{C}$. $\left(K_f=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)$

Which among the following sets of compounds is used as raw material for the preparation of sodium carbonate by Solvay process?

What is the $\mathrm{H}-\mathrm{S}-\mathrm{H}$ bond angle in $\mathrm{H}_2 \mathrm{~S}$ ?

' $K$ is Henry's constant and has the unit

For the conversion of oxygen to ozone in the atmosphere, nitric oxide in gaseous phase acts as

Which among the following group 15 elements does not exhibit allotropy?

Which among the following oxides of nitrogen is called nitrogen sesquioxide?

For the elementary reaction $2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \longrightarrow 2 \mathrm{SO}_3(g)$, identify the correct among the following relations

For a process, entropy change of a system is expressed as

Which among the following is not a semi-synthetic polymer?

Bassemerisation is used in the extraction of

Which among the following reaction is an example of a zero order reaction?

The resistance of $\frac{1}{10} M$ solution is $25 \times 10^3$ ohm. What is the molar conductivity of solution? (cell constant $=1.25 \mathrm{~cm}^{-1}$)

If the van't Hoff-factor for $0.1 \mathrm{~M} \mathrm{~Ba}\left(\mathrm{NO}_3\right)_2$ solution is 2.74 , the degree of dissociation is

What happens when ionic hydrides of $s$-block elements in molten state are electrolysed?

Which of following is not a property of red phosphorus?

The bond line formula of 1-iodo -2, 3-dimethyl pentane is

When propene reacts with HCl in presence of peroxide, the product is

Which hydride among the following is strongest reducing agent?

Which of the following is not as antiseptic compound?

$\beta$-pleated sheets of polypeptide chains are present in

If $P\left(x_1, y_1\right)$ is a point on the hyperbola $x^2-y^2=a^2$, then $S P$. S'P $=$ .............

If $f(x)=\cos ^{-1}\left[\frac{1-(\log x)^2}{1+(\log x)^2}\right]$, then $f^{\prime}(e)=\ldots$

The order of the differential equation of all circles whose radius is 4 , is ...........

If $A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right]$ and $A=A^{-1}$, then $x=\ldots \ldots$

Which of the following function is not continuous at $x=0$ ?

It is observed that $25 \%$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

For a GP, if $S_n=\frac{4^n-3^n}{3^n}$, then $t_2=$ ...........

The area of the region bounded by the curve $y=2 x-x^2$ and the line $y=x$ is ........... units. square

The general solution of $x \frac{d y}{d x}=y-x \tan \left(\frac{y}{x}\right)$ is .............

The statement pattern $(p \wedge q) \wedge[\sim r \vee(p \wedge q)] \vee(\sim p \wedge q)$ is equivalent to ...........

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ...........

$$\int \frac{\cos x+x \sin x}{x^2+x \cos x} d x=$$ ...........

A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of $5 \mathrm{~cm} / \mathrm{sec}$. Then area increased after 2 seconds is ............

If $f(x)=3 x-2$ and $g(x)=x^2$, then $(f \circ g)(x)=$

Which of the following is not equivalent to $p \rightarrow q$.

The value of $\int_{-3}^3\left(a x^5+b x^3+c x+k\right) d x$, where $a, b, c, k$ are constants, depends only on

The general solution of the differential equation of all circles having centre at $A(-1,2)$ is ........

If $A$ is non-singular matrix such that $(A-2 l)(A-4 I)=0$ then $A+8 A^{-1}=$ ..........

If $G(3,-5, r)$ is centroid of triangle $A B C$ where $A(7,-8,1), B(p, q, 5)$ and $C(q+1,5 p, 0)$ are vertices of a triangle then values of $p, q, r$ are respectively ......

$$\int \frac{1}{\left(x^2+1\right)^2} d x=\ldots$$

If $\theta=\frac{17 \pi}{3}$ then, $\tan \theta-\cot \theta=\ldots$

Derivative of $\log _{e^2}(\log x)$ with respect to $x$ is

In $\triangle A B C$; with usual notations, if $\cos A=\frac{\sin B}{\sin C}$ then the triangle is ............

For a GP, if $(m+n)^{\text {th }}$ term is $p$ and $(m-n)^{\mathrm{th}}$ term is $q$, then $m^{\text {th }}$ term is ......

A random variable X has following probability distribution

Then $P(2 \leq X<5)=\ldots \ldots$

The equation of normal to the curve $y=\log _\theta x$ at the point $P(1,0)$ is ............

The values of $x$ in $\left(0, \frac{\pi}{2}\right)$ satisfying the equation $\sin x \cos x=\frac{1}{4}$ are ..........

If $\mathbf{a}+\mathbf{b}, \mathbf{b}+\mathbf{c}$ anc $\mathbf{c}+\mathbf{a}$ are coterminous edges of a parallel opiped then its volume is ..........

If the c.d.f (cumulative distribution function) is given by $F(x)=\frac{x-25}{10}$, then $P(27 \leq x \leq 33)=\ldots \ldots$

The joint equation of pair of straight lines passing through origin and having slopes $(1+\sqrt{2})$ and $\left(\frac{1}{1+\sqrt{2}}\right)$ is .......

The angle between lines $\frac{x-2}{2}=\frac{y-3}{-2}=\frac{z-5}{1}$ and $\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-5}{2}$ is ............

If the line passes through the points $P(6,-1,2), Q(8,-7,2 \lambda)$ and $R(5,2,4)$ then value of $\lambda$ is ...........

The equivalent form of the statement $\sim(p \rightarrow \sim q)$ is $\ldots$

If $A=\left(x \in R: x^2-5|x|+6=0\right\}$, then $n(A)=\ldots \ldots$

If the function $f(x)=\frac{\log (1+a x)-\log (1-b x)}{x}$ $x \neq 0$ is continuous at $x=0$ then, $f(0)=\ldots \ldots$

The co-ordinates of the foot of perpendicular drawn from origin to the plane $2 x-y+5 z-3=0$ are $\ldots \ldots$

$$\int \frac{\sqrt{x^2-a^2}}{x} d x=\ldots \ldots$$

The maximum value of $z=9 x+11 y$ subject to $3 x+2 y \leq 12,2 x+3 y \leq 12, x \geq 0, y \geq 0$ is $\ldots \ldots$.

$$\int_0^4 \frac{1}{1+\sqrt{x}} d x=\ldots \ldots$$

The number of solutions of $\sin ^2 \theta=\frac{1}{2}$ in $[0, \pi]$ is ..........

If $\mathbf{p}, \mathbf{q}$ and $\mathbf{r}$ are non-zero, non-coplanar vectors

Which of the following equations has no solution?

The minimum value of $z=10 x+25 y$ subject to $0 \leq x \leq 3,0 \leq y \leq 3, x+y \geq 5$ is $\ldots$

If $f(x)=3 x^3-9 x^2-27 x+15$, then the maximum value of $f(x)$ is ...........

The equation of the plane passing through the point $(-1,2,1)$ and perpendicular to the line joining the points $(-3,1,2)$ and $(2,3,4)$ is

If the lengths of the transverse axis and the latusrectum of a hyperbola are 6 and $\frac{8}{3}$ respectively, then the equation of the hyperbola is ............

The value of $\tan ^{-1} \frac{1}{3}+\tan ^{-1} \frac{1}{5}+\tan ^{-1} \frac{1}{7}+\tan ^{-1} \frac{1}{8}$ is ...........

The joint equation of the lines passing through the origin and trisecting the first quadrant is

If $P(2,2), Q(-2,4)$ and $R(3,4)$ are the vertices of $\triangle P Q R$ then the equation of the median through vertex $R$ is ......

If $x=\sqrt{a^{\sin ^{-1} t}}, y=\sqrt{a^{\cos ^{-1} t}}$, then $\frac{d y}{d x}=\ldots .$.

A stone of mass 1 kg is tied to a string 2 m long and it's rotated at constant speed of $40 \mathrm{~ms}^{-1}$ in a vertical circle. The ratio of the tension at the top and the bottom is [Take $g=10 \mathrm{~ms}^{-2}$]

2. Two coils have a mutual inductance of 0.01 H . The current in the first coil changes according to equation, $I=5 \sin 200 \pi t$. The maximum value of emf induced in the second coil is

The radius of the earth and the radius of orbit around the sun are 6371 km and $149 \times 10^6 \mathrm{~km}$ respectively. The order of magnitude of the diameter of the orbit is greater than that of earth by

Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' $n_1$ ', and ' $n_2$ ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

If ' $C_P$ ' and ' $C_V$ ' are molar specific heats of an ideal gas at constant pressure and volume respectively. If ' $\lambda$ ' is the ratio of two specific heats and ' $R$ ' is universal gas constant then ' $C_p$ ' is equal to

In a series $L C R$ circuit $R=300 \Omega, L=0.9 \mathrm{H}$, $C=2 \mu \mathrm{~F}, \omega=1000 \mathrm{rad} / \mathrm{s}$. The impedance of the circuit is

The quantity which does not vary periodically for a particle performing SHM is

Which of the following combinations of 7 identical capacitors each of $2 \mu \mathrm{~F}$ gives a resultant capacitance of $10 / 11 \mu \mathrm{~F}$ ?

Bohr model is applied to a particle of mass ' $m$ ' and charge ' $q$ ' is moving in a plane under the influence of a transverse magnetic field ' $B$ '. The energy of the charged particle in the $n$th level will be ( $h=$ Planck's constant)

In moving coil galvanometer, strong horse shoe magnet of concave shaped pole pieces is used to

1. Two identical wires of substances ' $P$ ' and ' $Q$ ' are subjected to equal stretching force along the length. If the elongation of ' $Q$ ' is more than that of ' $P$ ', then

If $W_1, W_2$ and $W_3$ represent the work done in moving a particle from $A$ to $B$ along three different paths 1,2 and 3 (as shown in fig) in the gravitational field of the point mass ' $m$ '. Find the correct relation between ' $W_1$ ', ' $W_2$ ' and ' $W_3$ '

Assuming that the junction diode is ideal, the current in the arrangement shown in figure is

The equation of simple harmonic progressive wave is given by $Y=a \sin 2 \pi(b t-c x)$. The maximum particle velocity will be twice the wave velocity if

In a fundamental mode,the time required for the sound wave to reach upto the closed end of a pipe filled with air is ' $t$ ' second. The frequency of vibration of air column is

Two small drops of mercury each of radius ' $R$ ' coalesce to form a large single drop. The ratio of the total surface energies before and after the change is

If radius of the solid sphere is doubled by keeping its mass constant, the ratio of their moment of inertia about any of its diameter is

For a metallic wire, the ratio of voltage to corresponding current is

In air, a charged soap bubble of radius ' $R$ ' breaks into 27 small soap bubbles of equal radius ' $r$ '. Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small soap bubble is

Two parallel conductors carrying unequal currents in the same direction ............

A layer of atmosphere that reflects medium frequency radio waves which is ineffective during night, is

A transverse wave is propagating on the string. The linear density of a vibrating string is $10^{-3} \mathrm{~kg} / \mathrm{m}$. The equation of the wave is $Y=0.05 \sin (x+15 t)$ where $x$ and $Y$ are measured in metre and time in second. The tension force in the string is

The kinetic energy of a revolving satellite (mass $m$ ) at a height equal to thrice the radius of the earth $(R)$ is

A particle executes the simple harmonic motion with an amplitude ' $A$ '. The distance travelled by it in one periodic time is

A galvanometer has resistance of $100 \Omega$ and a current of 10 mA produces full scale deflection in it. The resistance to be connected in series, to get a voltmeter of range 50 volt is

The angle made by orbital angular momentum of electron with the direction of the orbital magnetic moment is

The circuit in 1$$\Omega$$ resistor in the following circuit is

The wavelength of the first line in Balmer series in the hydrogen spectrum is ' $\lambda$ '. What is the wavelength of the second line in the same series?

Work done in stretching a wire through 1 mm is 2 J . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section, by 1 mm ?

The resultant $\mathbf{R}$ of $\mathbf{P}$ and $\mathbf{Q}$ is perpendicular to $\mathbf{P}$. Also $|\mathbf{P}|=|\mathbf{R}|$. The angle between $\mathbf{P}$ and $\mathbf{Q}$ is $\left[\tan 45^{\circ}=1\right]$

A telescope has large diameter of the objective. Then its resolving power is

A uniform rod of length ' 6 L ' and mass ' 8 m ' is pivoted at its centre ' $C$ '. Two masses ' $m$ ' and ' $2 m^{\prime}$ with speed $2 v, v$ as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity ' $\omega$ ' then ' $\omega$ ' will be

If $\sqrt{A^2+B^2}$ represents the magnitude of resultant of two vectors $(\mathbf{A}+\mathbf{B})$ and $(\mathbf{A}-\mathbf{B})$, then the angle between two vectors is

A thin metal wire of length 'L' and uniform linear mass density '$\rho$' is bent into a circular coil with 'O' as centre. the moment of inertia of a coil about the axis XX' is

The dimensions of torque are same as that of

. For a transistor, the current ratio ' $\beta_{d c}$ ' is defined as the ratio of

A clock pendulum having coefficient of linear expansion. $\alpha=9 \times 10^{-7} /{ }^{\circ} \mathrm{C}^{-1}$ has a period of 0.5 s at $20^{\circ} \mathrm{C}$. If the clock is used in a climate, where the temperature is $30^{\circ} \mathrm{C}$, how much time does the clock lose in each oscillation? ( $g=$ constant)

Two capillary tubes of different diameters are dipped in water. The rise of water is

A thin hollow prism of refracting angle $3^{\circ}$, filled with water gives a deviation of $1^{\circ}$. The refractive index of water is

A body is projected vertically from the surface of the earth of radius ' $R$ ' with velocity equal to half of the escape velocity. The maximum height reached by the body is

In biprism experiment, the distance between source and eyepiece is 1.2 m, the distance between two virtual sources is 0.84 mm. Then the wavelength of light used if eyepiece is to be moved transversely through a distance of 2.799 cm to shift 30 fringes is

When photons of energy $h v$ fall on a metal plate of work function ' $W_0$ ', photoelectrons of maximum kinetic energy ' $K$ ' are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be

If a star emitting yellow light is accelerated towards earth, then to an observer on earth it will appear

The magnitude of the magnetic induction at a point on the axis at a large distance ( $r$ ) from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ( $I$ ) is given by

A metal sphere of radius ' $R$ ' and density ' $\rho_1$ ' is dropped in a liquid of density ' $\sigma$ ' moves with terminal velocity ' $v$ '. Another metal sphere of same radius and density ' $\rho_2$ ' is dropped in the same liquid, its terminal velocity will be

If $\alpha$ is the coefficient of performance of a refrigerator and ' $Q$ ' is heat released to the hot reservoir, then the heat extracted from the cold reservoir ' $Q_2$ ' is

The real force ' $F$ ' acting on a particle of mass $m$ ' performing circular motion acts along the radius of circle ' $r$ ' and is directed towards the centre of circle. The square root of magnitude of such force is ( $T=$ periodic time)

Dimensions of Gyromagnetic ratio are

The maximum velocity of the photoelectron emitted by the metal surface is ' $v$ '. Charge and mass of the photoelectron is denoted by ' $e$ ' and ' $m$ ' respectively. The stopping potential in volt is

The equi-convex lens has a focal length ' $f$ '. If the lens is cut along the line perpendicular to the principal axis and passing through the pole, what will be the focal length of any half part?