Q JEE ADVANCE 2006

Match the following:

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

According to Bohr's theory, $\mathrm{E}_{\mathrm{n}}=$ Total energy $\mathrm{K}_{\mathrm{n}}=$ Kinetic energy $\mathrm{V}_{\mathrm{n}}=$ Potential energy $\mathrm{r}_{\mathrm{n}}=$ Radius of $\mathrm{n}^{\text {th }}$ orbit...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Match the following:

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Match the extraction processes listed in Column I with metals listed in Column II:

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The edge length of unit cell of a metal having molecular weight $75 \mathrm{~g} / \mathrm{mol}$ is $5 \AA$ which...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

We have taken a saturated solution of $\mathrm{AgBr} . \mathrm{K}_{\text {sp }}$ of AgBr is $12 \times 10^{-14}$. If $10^{-7}$...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

For the reaction, $2 \mathrm{CO}+\mathrm{O}_2 \longrightarrow 2 \mathrm{CO}_2 ; \Delta \mathrm{H}=-560 \mathrm{~kJ}$. Two moles of CO and one mole of...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

75.2 g of $\mathrm{C}_6 \mathrm{H}_5 \mathrm{OH}$ (phenol) is dissolved in a solvent of $\mathrm{K}_{\mathrm{f}}=14$. If the depression in freezing point...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Ammonia is always is added in this reaction. Which of the following must be incorrect?

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

When ammonia is added to the solution, pH is raised to 11 . Which half-cell reaction is affected by pH...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Find $\ln K$ of this reaction.

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

A nuclear explosion has taken place leading to increase in concentration of $C^{14}$ in nearby areas. $C^{14}$ concentration is $C_1$...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

What should be the age of fossil for meaningful determination of its age?

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Which of the following option is correct?

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The hybridization of A and B are

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

Predict the magnetic nature of A and B .

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The IUPAC name of $A$ and $B$ are

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

What are the constituent amines formed when the mixture of (i) and (ii) undergoes Hofmann bromamide degradation?

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A circular disc with a groove along its diameter is placed horizontally. A block of mass 1 kg is placed...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

In hydrogen-like atom $(\mathrm{z}=11), \mathrm{n}^{\text {th }}$ line of Lyman series has wavelength $\lambda$ equal to the de-Broglie's wavelength of...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

Match the following

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Match the following

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

There is a rectangular plate of mass M kg of dimensions $(\mathrm{a} \times \mathrm{b})$. The plate is held in horizontal...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

Match the following

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Match the following: Normals are drawn at points $P, Q$ and $R$ lying on the parabola $y^2=4 x$ which intersect...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $\mathrm{f}(\mathrm{x})$ is a twice differentiable function such that $\mathrm{f}(\mathrm{a})=0, \mathrm{f}(\mathrm{b})=2, \mathrm{f}(\mathrm{c})=-1, \mathrm{f}(\mathrm{d})=2, \mathrm{f}(\mathrm{e})=0$, where $\mathrm{a}

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $a_n=\frac{3}{4}-\left(\frac{3}{4}\right)^2+\left(\frac{3}{4}\right)^3+\cdots(-1)^{n-1}\left(\frac{3}{4}\right)^n$ and $b_n=1-a_n$, then find the minimum natural number $n_0$ such that $b_n>a_n \forall n>n_0$

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

The value of $5050 \frac{\int_0^1\left(1-x^{50}\right)^{100} d x}{\int_0^1\left(1-x^{50}\right)^{101} d x}$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If roots of the equation $x^2-10 c x-11 d=0$ are $a, b$ and those of $x^2-10 a x-11 b=0$ are...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

The value of $\left[\begin{array}{lll}3 & 2 & 0\end{array}\right] \mathrm{U}\left[\begin{array}{l}3 \\ 2 \\ 0\end{array}\right]$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

The sum of the elements of $\mathrm{U}^{-1}$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

$A=\left[\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]$, if $U_1, U_2$...

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

How can the conversion of (i) to (ii) be brought about?

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

Find the number of times $\mathrm{y}_1+\mathrm{y}_2=0$ at $\mathrm{x}=0$ in 1 sec

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

Find wave velocity of louder sound

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

A line M through A is drawn parallel to BD . Point S moves such that its distances from the...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Two waves $\mathrm{y}_1=\mathrm{A} \cos (0.5 \pi \mathrm{x}-100 \pi \mathrm{t})$ and $y_2=A \cos (0.46 \pi x-92 \pi t)$ are travelling in...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

$\mathrm{MgSO}_4$ on reaction with $\mathrm{NH}_4 \mathrm{OH}$ and $\mathrm{Na}_2 \mathrm{HPO}_4$ forms a white crystalline precipitate. What is its formula?

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A wooden cylinder of diameter 4 r , height h and density $\rho / 3$ is kept on a hole...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

What are N and M ?

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A wooden cylinder of diameter 4 r , height h and density $\rho / 3$ is kept on a hole...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

A wooden cylinder of diameter 4 r , height h and density $\rho / 3$ is kept on a hole...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

The smallest ketone and its next homologue are reacted with $\mathrm{NH}_2 \mathrm{OH}$ to form oxime.

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The given graph represents the variation of Z (compressibility factor $=\frac{\mathrm{PV}}{\mathrm{nRT}}$ ) versus P , for three real gases $...

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The major products P and Q are

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

A ball moves over a fixed track as shown in the figure. From $A$ to $B$ the ball rolls without...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

An infinite current carrying wire passes through point O and in perpendicular to the plane containing a current carrying loop...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

Which of the following reactants on reaction with conc. NaOH followed by acidification gives the following lactone as the only...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

The graph between $1 / \lambda$ and stopping potential (V) of three metals having work functions $\phi_1, \phi_2$ and $\phi_3$...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

In a dark room with ambient temperature $\mathrm{T}_0$, a black body is kept at a temperature T . Keeping the...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

The species present in solution when $\mathrm{CO}_2$ is dissolved in water are

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A circle touches the line L and the circle $\mathrm{C}_1$ externally such that both the circles are on the same...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Function $\mathrm{x}=\mathrm{A} \sin ^2 \omega \mathrm{t}+\mathrm{B} \cos ^2 \omega \mathrm{t}+\mathrm{C} \sin \omega \mathrm{t} \cos \omega \mathrm{t}$ represents SHM

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

If the bond length of CO bond in carbon monoxide is $1.128 \AA$, then what is the value of CO...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

Let ABCD be a square of side length 2 units. $\mathrm{C}_2$ is the circle through vertices $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $\mathrm{f}^{\prime}(\mathrm{x})

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Suppose we define the definite integral using the following formula $\int_a f(x) d x=\frac{b-a}{2}(f(a)+f(b))$, for more accurate result for $...

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

$$ \mathrm{N}_2+3 \mathrm{H}_2 \rightleftharpoons 2 \mathrm{NH}_3 $$ Which is correct statement if $\mathrm{N}_2$ is added at equilibrium condition?

JEE Advance Chemistry Easy

View Solution →

Q JEE ADVANCE 2006

The direct conversion of A to B is difficult, hence it is carried out by the following shown path:

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

If $n$ is even and $E$ denotes the event of choosing even numbered urn $\left(P\left(u_i\right)=\frac{1}{n}\right)$, then the value of $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $\mathrm{P}\left(\mathrm{u}_{\mathrm{i}}\right)=\mathrm{c}$, where c is a constant then $\mathrm{P}\left(\mathrm{u}_{\mathrm{n}} / \mathrm{w}\right)$ is equal to

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

A solid cylinder of mass $m$ and radius $r$ is rolling on a rough inclined plane of inclination $\theta$. The...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

If $P\left(u_i\right) \propto i$, where $i=1,2,3, \ldots n$, then $\lim _{n \rightarrow \infty} P(w)$ is equal to

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

$\mathrm{CuSO}_4$ decolourises on addition of KCN , the product is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

$f(x)=\left\{\begin{array}{ll}e^x, & 0 \leq x \leq 1 \\ 2-e^{x-1}, & 1

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

$\mathrm{CH}_3 \mathrm{NH}_2+\mathrm{CHCl}_3+\mathrm{KOH} \rightarrow$ Nitrogen containing compound $+\mathrm{KCl}+\mathrm{H}_2 \mathrm{O}$. Nitrogen containing compound is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

Let $\vec{A}$ be vector parallel to line of intersection of planes $P_1$ and $P_2$ through origin. $P_1$ is parallel to...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

The electrostatic potential ( $\phi_{\mathrm{r}}$ ) of a spherical symmetric system, kept at origin, is shown in the adjacent figure,...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

$f(x)$ is cubic polynomial which has local maximum at $x=-1$. If $f(2)=18, f(1)=-1$ and $f^{\prime}(x)$ has local minima at $x=0$,...

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

$$ \begin{aligned} & \mathrm{Ag}^{+}+\mathrm{NH}_3 \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)^{+}\right] ; \mathrm{k}_1=3.5 \times 10^{-3} \\ & {\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)\right]^{+}+\mathrm{NH}_3 \rightleftharpoons\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+} ; \mathrm{k}_2=1.7 \times 10^{-3}} \end{aligned} $$ then...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

In the given diagram, a line of force of a particular force field is shown. Out of the following options,...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

If a hyperbola passes through the focus of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ and its transverse and conjugate axes coincide with the...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Internal bisector of $\angle \mathrm{A}$ of triangle ABC meets side BC at D . A line drawn through D perpendicular...

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

The IUPAC name of $\mathrm{C}_6 \mathrm{H}_5 \mathrm{COCl}$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A tangent drawn to the curve $y=f(x)$ at $P(x, y)$ cuts the $x$-axis and $y$-axis at $A$ and $B$ respectively...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $f(x)=\min \left\{1, x^2, x^3\right\}$, then

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Consider a cylindrical element as shown in the figure. Current flowing the through element is I and resistivity of material...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

$$ \mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}_2+\mathrm{NOCl} \rightarrow \mathrm{P} $$ Identify the adduct.

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

The circular divisions of shown screw gauge are 50 . It moves 0.5 mm on main scale in one rotation....

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

The increasing order of boiling points of above mentioned alcohols is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A student performs an experiment for determination of $\mathrm{g}\left(=\frac{4 \pi^2 \ell}{\mathrm{~T}^2}\right), \ell \approx 1 \mathrm{~m}$, and he commits an error...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

A solid sphere of mass M , radius R and having moment of inertia about an axis passing through the...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

A system of binary stars of masses $m_A$ and $m_B$ are moving in circular orbits of radii $r_A$ and $r_B$...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

A monatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A massless rod is suspended by two identical strings AB and CD of equal length. A block of mass m...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

The equations of the common tangents to the parabola $y=x^2$ and $y=-(x-2)^2$ is/are

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Let $\vec{a}=\hat{i}+2 \hat{j}+\hat{k}, \vec{b}=\hat{i}-\hat{j}+\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$. A vector in the plane of $\vec{a}$ and $\vec{b}$ whose projection on $\vec{c}$ is...

JEE Advance Mathematics Easy

View Solution →

Q

When benzene sulfonic acid and p-nitrophenol are treated with $\mathrm{NaHCO}_3$, the gases released respectively are

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

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

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Given a sample of Radium-226 having half-life of 4 days. Find the probability, a nucleus disintegrates after 2 half lives.

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

The axis of a parabola is along the line $\mathrm{y}=\mathrm{x}$ and the distance of its vertex from origin is $\sqrt{2}$...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Let $\theta \in\left(0, \frac{\pi}{4}\right)$ and $\mathrm{t}_1=(\tan \theta)^{\tan \theta}, \mathrm{t}_2=(\tan \theta)^{\cot \theta}, \mathrm{t}_3=(\cot \theta)^{\tan \theta}$ and $\mathrm{t}_4=(\cot \theta)^{\cot \theta}$, then

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $r, s, t$ are prime numbers and $p, q$ are the positive integers such that the LCM of $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $f^{\prime}(x)=-f(x)$ and $g(x)=f^{\prime}(x)$ and $F(x)=\left(f\left(\frac{x}{2}\right)\right)^2+\left(g\left(\frac{x}{2}\right)\right)^2$ and given that $F(5)=5$, then $F(10)$ is equal to

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Let $\mathrm{a}, \mathrm{b}, \mathrm{c}$ be the sides of a triangle. No two of them are equal and $\lambda \in \mathrm{R}$....

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

A biconvex lens of focal length $f$ forms a circular image of sun of radius $r$ in focal plane. Then

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

If $w=\alpha+i \beta$, where $\beta \neq 0$ and $z \neq 1$, satisfies the condition that $\left(\frac{w-\bar{w} z}{1-z}\right)$ is purely real,...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

If $0

JEE Advance Mathematics Easy

View Solution →

Q JEE ADVANCE 2006

A solution when diluted with $\mathrm{H}_2 \mathrm{O}$ and boiled, it gives a white precipitate. On addition of excess $...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

Given an isosceles triangle, whose one angle is $120^{\circ}$ and radius of its incircle $=\sqrt{3}$. Then the area of the...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Two blocks A and B of masses 2 m and m , respectively, are connected by a massless and inextensible...

JEE Advance Physics Easy

View Solution →

Q JEE ADVANCE 2006

$\mathrm{B}(\mathrm{OH})_3+\mathrm{NaOH} \rightleftharpoons \mathrm{NaBO}_2+\mathrm{Na}\left[\mathrm{B}(\mathrm{OH})_4\right]+\mathrm{H}_2 \mathrm{O}$

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2006

$\int \frac{x^2-1}{x^3 \sqrt{2 x^4-2 x^2+1}} d x$ is equal to

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2006

Given, The time constants (in $\mu \mathrm{S}$ ) for the circuits I, II, III are respectively.

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2006

For $x>0, \lim _{x \rightarrow 0}\left((\sin x)^{1 / x}+(1 / x)^{\sin x}\right)$ is

JEE Advance Mathematics Easy

View Solution →