Q JEE Advance 2015

If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of...

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Q JEE Advance 2015

The $\%$ yield of ammonia as a function of time in the reaction : $$ \mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_3(\mathrm{~g}),...

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Q JEE Advance 2015

$\mathrm{Fe}^{3+}$ is reduced to $\mathrm{Fe}^{2+}$ by using

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Q JEE Advance 2015

Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process is (are):

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Q JEE Advance 2015

The correct statement(s) about $\mathrm{Cr}^{2+}$ and $\mathrm{Mn}^{3+}$ is (are) [Atomic numbers of $\mathrm{Cr}=24$ and $\mathrm{Mn}=25$ ]

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Q JEE Advance 2015

The major product of the reaction is

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Q JEE Advance 2015

The structure of D-(+)-glucose is

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In the following reaction, the major product is

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Q JEE Advance 2015

Let $\triangle P Q R$ be a triangle. Let $\vec{a}=\overrightarrow{Q R}, \vec{b}=\overrightarrow{R P}$ and $\vec{c}=\overrightarrow{P Q}$. If $|\vec{a}|=12,|\vec{b}|=4 \sqrt{3}$ and...

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Q JEE Advance 2015

Let $g: R \rightarrow R$ be a differentiable function with $g(0)=0, g^{\prime}(0)=0$ and $g^{\prime}(1) \neq 0$. Let $...

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Q JEE Advance 2015

Which of the following values of $\alpha$ satisfy the equation $...

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Q JEE Advance 2015

Let X and Y be two arbitrary, $3 \times 3$, non-zero, skew-symmetric matrices and Z be an arbitrary $...

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Q JEE Advance 2015

The major product of the following reaction is

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Consider the family of all circles whose centers lie on the straight line $y=x$. If this family of circles is...

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Q JEE Advance 2015

Let $y(x)$ be a solution of the differential equation $\left(1+e^x\right) y^{\prime}+y e^x=1$. If $y(0)=2$, then which of the following statements...

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Q JEE Advance 2015

Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is (are)

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Q JEE Advance 2015

Let $F(x)=\int_x^{x^2+\frac{\pi}{6}} 2 \cos ^2 t d t$ for all $x \in R$ and $f:\left[0, \frac{1}{2}\right] \rightarrow[0, \infty)$ be a...

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Q JEE Advance 2015

Let $P$ and $Q$ be distinct points on the parabola $y^2=2 x$ such that a circle with $P Q$ as...

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Q JEE Advance 2015

A cylindrical container is to be made from certain solid material with the following constraints: It has fixed inner volume...

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If the freezing point of a 0.01 molal aqueous solution of a cobalt(III) chloride-ammonia complex (which behaves as a strong...

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Q JEE Advance2015

Let $f: R \rightarrow R$ be a function defined by $f(x)=\left\{\begin{array}{cc}{[x],} & x \leq 2 \\ 0, & x>2\end{array}\right.$ where...

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Q JEE Advance 2015

All the energy released from the reaction $\mathrm{X} \rightarrow \mathrm{Y}, \Delta_{\mathrm{r}} \mathrm{G}^{\circ}=-193 \mathrm{~kJ} \mathrm{~mol}^{-1}$ is used for oxidizing $\mathrm{M}^{+}$as $...

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Q JEE Advance2015

If the normals of the parabola $y^2=4 x$ drawn at the end points of its latus rectum are tangents to...

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Q JEE Advance 2015

Not considering the electronic spin, the degeneracy of the second excited state ( $n=3$ ) of H atom is 9...

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Q JEE Advance2015

Let $n$ be the number of ways in which 5 boys and 5 girls can stand in a queue in...

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Among the triatomic molecules/ions, $\mathrm{BeCl}_2, \mathrm{~N}_3{ }^{-}, \mathrm{N}_2 \mathrm{O}, \mathrm{NO}_2{ }^{+}, \mathrm{O}_3, \mathrm{SCl}_2, \mathrm{ICl}_2{ }^{-}, \mathrm{I}_3{ }^{-}$and $\mathrm{XeF}_2$, the total...

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Q JEE Advance 2015

For the octahedral complexes of $\mathrm{Fe}^{3+}$ in $\mathrm{SCN}^{-}$(thiocyanato-S) and in $\mathrm{CN}^{-}$ligand environments, the difference between the spin-only magnetic moments in...

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Q JEE Advance 2015

When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker...

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Q JEE Advance 2015

When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker...

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Q JEE Advance 2015

The total number of lone pairs of electrons in $\mathrm{N}_2 \mathrm{O}_3$ is

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Q JEE Advance 2015

The number of resonance structures for N is

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Q JEE Advance 2015

The total number of stereoisomers that can exist for M is

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Q JEE Advance 2015

The major compound Y is:

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Q JEE Advance 2015

The pair(s) of ions where BOTH the ions are precipitated upon passing $\mathrm{H}_2 \mathrm{~S}$ gas in presence of dilute HCl...

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Q JEE Advance2015

Let the curve $C$ be the mirror image of the parabola $y^2=4 x$ with respect to the line $x+y+4=0$. If...

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Q JEE Advance2015

The number of distinct solutions of the equation $...

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The correct statement(s) regarding, (i) HClO , (ii) $\mathrm{HClO}_2$, (iii) $\mathrm{HClO}_3$ and (iv) $\mathrm{HClO}_4$ is(are):

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Q JEE Advance 2015

For photo-electric effect with incident photon wavelength $\lambda$, the stopping potential is $\mathrm{V}_0$. Identify the correct variation(s) of $\mathrm{V}_0$ with...

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Q JEE Advance 2015

In an aluminum (AI) bar of square cross section, a square hole is drilled and is filled with iron (Fe)...

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A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium...

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Q JEE Advance 2015

In the following reactions, the major product W is:

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A conductor (shown in the figure) carrying contant current I is kept in the $\mathrm{x}-\mathrm{y}$ plane in a uniform magnetic...

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Q JEE Advance 2015

When $\mathrm{O}_2$ is adsorbed on a metallic surface, electron transfer occurs from the metal to $\mathrm{O}_2$. The TRUE statement(s) regarding...

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Q JEE Advance 2015

Two idenctical glass rods $\mathrm{S}_1$ and $\mathrm{S}_2$ (refractive index = 1.5 ) have one convex end of radius of curvature...

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Q JEE Advance 2015

The major product U in the following reactions is:

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Q JEE Advance 2015

Under hydrolytic conditions, the compounds used for preparation of linear polymer and for chain termination, respectively, are

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Q JEE Advance 2015

The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density...

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Q JEE Advance 2015

A ring of mass M and radius R is rotating with angular speed $\omega$ about a fixed vertical axis passing...

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Q JEE-ADVANCED-2015

Two spherical stars $A$ and $B$ emit blackbody radiation. The radius of $A$ is 400 times that of $B$ and...

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Q JEE Advance 2015

In the following reactions, the product S is

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Q JEE Advance 2015

The number of hydroxyl group(s) in Q is

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Q JEE-ADVANCED-2015

Two identical uniform discs roll without slipping on two different surfaces $A B$ and $C D$ (see figure) starting at...

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Q JEE Advance 2015

Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies $\omega_1$ and $\omega_2$ and have...

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Q JEE Advance 2015

In dilute aqueous $\mathrm{H}_2 \mathrm{SO}_4$, the complex diaquodioxalatoferrate $(\mathrm{II})$ is oxidized by $\mathrm{MnO}_4^{-}$. For this reaction, the ratio of the...

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Q JEE-ADVANCED-2015

A Bullet is fired vertically upwards with velocity $v$ from the surface of a spherical planet. When it reaches its...

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Q JEE Advance 2015

Planck's constant h, speed of light c and gravitational constant G are used to from a unit of length L...

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Q JEE-ADVANCED-2015

Consider a hydrogen atom with its electron in the $\mathrm{n}^{\text {th }}$ orbital. An electromagnetic radiation of wavelength 90 nm...

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Q JEE-ADVANCED-2015

An infinitely long uniform line charge distribution of charge per unit length $\lambda$ lies parallel to the $y$-axis in the...

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Q JEE Advance 2015

Consider a vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and...

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Q JEE Advance 2015

Three moles of $\mathrm{B}_2 \mathrm{H}_6$ are completely reacted with methanol. The number of moles of boron containing product formed is

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Q JEE Advance 2015

One mole of a monoatomic real gas satisfies the equation p(V – b) = RT where b is a constant....

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Q JEE Advance 2015

Among the complex ions, $\left[\mathrm{Co}\left(\mathrm{NH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NH}_2\right)_2 \mathrm{Cl}_2\right]^{+},\left[\mathrm{CrCl}_2\left(\mathrm{C}_2 \mathrm{O}_4\right)_2\right]^{3-},\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_4(\mathrm{OH})_2\right]^{+}$, $\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_2(\mathrm{CN})_4\right]^{-},\left[\mathrm{Co}\left(\mathrm{NH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NH}_2\right)_2\left(\mathrm{NH}_3\right) \mathrm{Cl}\right]^{2+}$ and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\left(\mathrm{H}_2 \mathrm{O}\right) \mathrm{Cl}\right]^{2+}$, the number of complex ion(s) that...

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Q JEE Advance 2015

Consider a concave mirror and a convex lens (refractive index $=1.5$ ) of focal length 10 cm each, separated by...

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Q JEE Advance 2015

A young's double slit interference arrangement with slits $S_1$ and $S_2$ is immersed in water (refractive index $=4 / 3)$...

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Q JEE Advance 2015

A nuclear power planet supplying electrical power to a village uses a radioactive material of half life $T$ years as...

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Q JEE Advance 2015

Two spherical stars $A$ and $B$ emit blackbody radiation. The radius of $A$ is 400 times that of $B$ and...

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Q JEE Advance 2015

Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and...

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Q JEE Advance 2015

In a thin rectangular metallic strip a constant current I flows along the positive x-direction, as shown in the figure....

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Q JEE Advance 2015

If $\int_1^3 x^2 F^{\prime}(x) d x=-12$ and $\int_1^3 x^3 F^{\prime \prime}(x) d x=40$, then the correct expression(s) is(are)

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Q JEE Advance 2015

A Bullet is fired vertically upwards with velocity $v$ from the surface of a spherical planet. When it reaches its...

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Q JEE Advance 2015

In a thin rectangular metallic strip a constant current I flows along the positive x-direction, as shown in the figure....

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Q JEE Advance 2015

Consider a hydrogen atom with its electron in the $\mathrm{n}^{\text {th }}$ orbital. An electromagnetic radiation of wavelength 90 nm...

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Q JEE Advance 2015

Let $F: R \rightarrow R$ be a thrice differentiable function. Supose that $F(1)=0, F(3)=-4$ and $F^{\prime}(x)

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Q JEE Advance 2015

An infinitely long uniform line charge distribution of charge per unit length $\lambda$ lies parallel to the $y$-axis in the...

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Q JEE Advance 2015

In the complex acetylbromidodicarbonylbis(triethylphosphine)iron(II), the number of Fe-C bond(s) is

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Q JEE Advance 2015

Light guidance in an optical fiber can be understood by considering a structure comprising of thin solid glass cylinder of...

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A ball is drawn at random from box I and transferred to box II. If the probability of drawing a...

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Let $\mathrm{n}_1$ and $\mathrm{n}_2$ be the number of red and black balls, respectively, in box I . Let $\mathrm{n}_3$ and...

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Q JEE Advance 2015

The option(s) with the values of a and L that satisfy the following equation is(are) $$ \frac{\int_0^{4 \pi} e^t\left(\sin ^6...

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Q JEE Advance 2015 Paper-1 2015

Consider the hyperbola $\mathrm{H}: \mathrm{x}^2-\mathrm{y}^2=1$ and a circle S with center $\mathrm{N}\left(\mathrm{x}_2, 0\right)$. Suppose that H and S touch each...

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Q JEE Advance 2015

A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own...

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Q JEE Advance 2015

In plotting stress versus strain curves for the materials $P$ and $Q$, a student by mistake puts strain on the...

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Consider a uniform spenerical charge distribution of radius $\mathrm{R}_1$ centred at the origin O . In this distribution, a spherical...

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Q JEE Advance 2015

In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $C$, the dimensionally...

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Q JEE Advance 2015

When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker...

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Q JEE Advance 2015

Two spheres P and Q of equal radii have densities $\rho_1$ and $\rho_2$, respectively. The spheres are connected by a...

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Q JEE Advance 2015

If $\alpha=3 \sin ^{-1}\left(\frac{6}{11}\right)$ and $\beta=3 \cos ^{-1}\left(\frac{4}{9}\right)$, where the inverse trigonometric functions take only the principal values, then the...

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Q JEE Advance 2015

In the following reactions :The major compound Y is

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Q JEE Advance 2015

In the following reactions :Compound X is

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A fission reaction is given by ${ }_{92}^{236} \mathrm{U} \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+\mathrm{x}+\mathrm{y}$, where x and y are two...

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Q JEE Advance 2015

The pair(s) of ions where BOTH the ions are precipitated upon passing $\mathrm{H}_2 \mathrm{~S}$ gas in presence of dilute HCl...

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Q JEE Advance 2015

The correct statement(s) regarding, (i) HClO , (ii) $\mathrm{HClO}_2$, (iii) $\mathrm{HClO}_3$ and (iv) $\mathrm{HClO}_4$ is(are)

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Q JEE Advance 2015

In the following reactions, the major product W is

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Q JEE Advance 2015

An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure)....

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Q JEE Advance 2015

The major product U in the following reactions is

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Q JEE Advance 2015

In the following reactions, the product S is

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Q JEE Advance 2015

Let $S$ be the set of all non-zero real numbers $\alpha$ such that the quadratic equation $\alpha x^2-x+\alpha=0$ has two...

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Q JEE Advance 2015

One mole of a monoatomic real gas satisfies the equation $p(V-b)=R T$ where $b$ is a constant. The relationship of...

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Q JEE Advance 2015

Let $f^{\prime}(x)=\frac{192 x^3}{2+\sin ^4 \pi x}$ for all $x \in R$ with $f\left(\frac{1}{2}\right)=0$. If $...

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Q JEE Advance 2015

When $\mathrm{O}_2$ is adsorbed on a metallic surface, electron transfer occurs from the metal to $\mathrm{O}_2$. The TRUE statement(s) regarding...

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Q JEE Advance 2015

Under hydrolytic conditions, the compounds used for preparation of linear polymer and for chain termination, respectively, are

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Q JEE Advance 2015

Let $f(x)=7 \tan ^8 x+7 \tan ^6 x-3 \tan ^4 x-3 \tan ^2 x$ for all $x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. Then...

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Q JEE Advance 2015

Among the following the number of reaction(s) that produce(s) benzaldehyde is

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Q JEE Advance 2015

The energy of a system as a function of time $t$ is given as $E(t)=A^2 \exp (-a t)$, where $...

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Q JEE Advance 2015

The number of hydroxyl group(s) in Q is

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Q JEE Advance 2015

In dilute aqueous $\mathrm{H}_2 \mathrm{SO}_4$, the complex diaquodioxalatoferrate(II) is oxidized by $\mathrm{MnO}_4^{-}$. For this reaction, the ratio of the rate...

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Q JEE Advance 2015

A large spherical mass $M$ is fixed at one position and two identical point masses $m$ are kept on a...

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Q JEE Advance 2015

Let $f, g:[-1,2] \rightarrow R$ be continuous function which are twice differentiable on the interval $(-1,2)$. Let the values of...

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Q JEE Advance 2015

A closed vessel with rigid walls contains 1 mol of ${ }_{92}^{238} \mathrm{U}$ and 1 mol of air at 298...

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Q JEE Advance 2015

An electron in an excited state of $\mathrm{Li}^{2+}$ ions has angular momentum $3 \mathrm{~h} / 2 \pi$. The de-Broglie wavelength...

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Q JEE Advance 2015

In the following circuit, the current through the resistor $R(=2 \Omega)$ is I Amperes. The valeu of I is :

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Q JEE Advance 2015

The molar conductivity of a solution of a weak acid $\mathrm{HX}(0.01 \mathrm{M})$ is 10 times smaller than the molar conductivity...

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Q JEE Advance 2015

Three moles of $\mathrm{B}_2 \mathrm{H}_6$ are completely reacted with methanol. The number of moles of boron containing product formed is

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Q JEE Advance 2015

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of...

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A monochromatic beam of light is incident at $60^{\circ}$ on one face of an equilateral prism of refractive index $n$...

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Q JEE Advance 2015

Among the complex ions, $\left[\mathrm{Co}\left(\mathrm{NH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NH}_2\right)_2 \mathrm{Cl}_2\right]^{+},\left[\mathrm{CrCl}_2\left(\mathrm{C}_2 \mathrm{O}_4\right)_2\right]^{3-},\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_4(\mathrm{OH})_2\right]^{+}$, $\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_2(\mathrm{CN})_4\right]^{-},\left[\mathrm{Co}\left(\mathrm{NH}_2-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{NH}_2\right)_2\left(\mathrm{NH}_3\right) \mathrm{Cl}\right]^{2+}$ and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\left(\mathrm{H}_2 \mathrm{O}\right) \mathrm{Cl}\right]^{2+}$, the number of complex ion(s) that...

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Q JEE Advance 2015

For any integer $k$, let $\alpha_k=\cos \left(\frac{k \pi}{7}\right)+i \sin \left(\frac{k \pi}{7}\right)$, where $i=\sqrt{-1}$. The value of the expression $...

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Q JEE Advance 2015

For a radioactive material, its activity $A$ and rate of change of its activity $R$ are defined as $...

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Q JEE Advance 2015

Four harmonic waves of equal frequencies and equal intensities $\mathrm{I}_0$ have phase angles $0, \frac{\pi}{3}, \frac{2 \pi}{3}$ and $\pi$. When...

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Q JEE Advance 2015

In the complex acetylbromidodicarbonylbis(triethylphosphine)iron(II), the number of $\mathrm{Fe}-\mathrm{C}$ bond(s) is

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Q JEE Advance 2015

The dinsities of two solid spheres $A$ and $B$ of the same radii $R$ vary with radial distance $r$ as...

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