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Questions >> Archives >> JEEMAIN-2015

A uniformly charged solid sphere of radius R has potential $V_0$ (measured with respect to $\infty$ ) on its surface. For this sphere the equipotential surfaces with potentials $\large\frac{3V_0}{2},\frac{5V_0}{4},\frac{3V_0}{4}$ and $\large\frac{V_0}{4}$ have radius $R_1, R_2, R_3$ and $R_4$ respectively . Then

answered May 18, 2018 by gptshubham595

2 answers

The inter molecular interaction that is dependent on the inverse cube of distance between the molecules is :

answered Mar 23, 2018 by sivalingam153246

2 answers

From the following statements regarding $H_2O_2$ , choose the incorrect statement :

answered Nov 18, 2015 by meena.p

1 answer

The following reaction is performed at $298\;K$

answered Nov 18, 2015 by meena.p

1 answer

Which polymer is used in the manufacture of paints and lacquers ?

answered Nov 18, 2015 by meena.p

1 answer

Which one has the highest boiling point ?

answered Nov 18, 2015 by meena.p

1 answer

Assertion : Nitrogen and Oxygen are the main component in the atmosphere but these but these do not react to form oxides of nitrogen . Reason : The reaction between nitrogen and Oxygen requires high temperature .

answered Nov 18, 2015 by meena.p

1 answer

The standard Gibbs energy changes at 300 k for the reaction $2A= B+C$ is $2494.2\;J$ At a given time, the composition of the reaction mixture is $[A]=\large\frac{1}{2}$ $,[B] =24$ and $[C]=\frac{1}{2}$ . The reaction proceeds in the : $[R= 8.314\;J/K/mol,e = 2.718]$

answered Nov 18, 2015 by meena.p

1 answer

Which among the following

answered Nov 18, 2015 by meena.p

1 answer

The Vapour pressure of acetone at $20^{\circ}C$ is $185\;torr$ .When $1.2 \;g$ of a non- volatile substance was dissolved in 100 g of acetone at $20^{\circ}$ its vapour pressure was $183$ torr. The molar mass $(g mol^{-1}) of the substance is :

answered Nov 18, 2015 by meena.p

1 answer

3g of activated charcoal was added to 50 mL of acetic acid solution $(0.06\;N)$ in a flask. After an hour it was filtered was found to be $0.042\;N$ . The amount of acetic acid absorbed (per gram of charcoal ) is :

answered Nov 18, 2015 by meena.p

1 answer

The synthesis of alkyl fluorides is best accomplished by :

answered Nov 18, 2015 by meena.p

1 answer

The color of $kMnO_4$ is due to

answered Nov 18, 2015 by meena.p

1 answer

In Carius method of estimation of halogens, $250\;mg$ of an organic compound gave $141\;mg$ of $AgBr$ . The percentage of bromine in the compound is

answered Nov 18, 2015 by meena.p

1 answer

The number of geometric isomers that can exist for square planar $[Pt(Cl)(py)(NH_3)(NH_2OH)] +$ (py= pyridine ):

answered Nov 17, 2015 by meena.p

1 answer

Two Faraday of electricity is passed through a solution of $CuSO_4$ . The mass of copper deposited at the cathode is : (at . mass of Cu=63.5 amu)

answered Nov 17, 2015 by meena.p

1 answer

The molecular formula of a commercial resin used for exchanging ions in water softening is $C_8H_7SO_3Na$ (Mol.wt.206) What would be the maximum uptake of $Ca^{2+}$ ions by the resin when expressed in mole per gram resin ?

answered Nov 17, 2015 by meena.p

1 answer

The inter molecular interaction that is dependent on the inverse cube of distance between the molecules is :

answered Nov 17, 2015 by meena.p

1 answer

Match the catalysts to the correct processes :

answered Nov 17, 2015 by meena.p

1 answer

Which of the following compounds will exhibit geometrical isomerism?

answered Nov 17, 2015 by meena.p

1 answer

Higher order $(>3)$ reactions are rare due to :

answered Nov 17, 2015 by meena.p

1 answer

In the following sequence of reaction :

answered Nov 17, 2015 by meena.p

1 answer

In the context of the Hall- Heroult process for the extraction of $Al$ which of the following statement is false ?

answered Nov 17, 2015 by meena.p

1 answer

The ionic radii (in A) of $N^{3-},O^{2-}$ and $F^{-}$ are respectively :

answered Nov 17, 2015 by meena.p

1 answer

Which of the following compounds is not an antacid ?

answered Nov 17, 2015 by meena.p

1 answer

Which of the following is the energy of a possible excited state of hydrogen ?

answered Nov 17, 2015 by meena.p

1 answer

Which of the following compounds is not colored yellow ?

answered Nov 17, 2015 by meena.p

1 answer

Sodium metal crystallizes in a body centered cubic lattice with a unit cell edge of $44.29 \dot{A}$ the radius of sodium atom is approximately :

answered Nov 17, 2015 by meena.p

1 answer

In the reaction

answered Nov 17, 2015 by meena.p

1 answer

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy ?

answered Nov 17, 2015 by meena.p

1 answer

Which of the vitamins given below is water soluble ?

answered Nov 17, 2015 by meena.p

1 answer

Which compound would give 5 -keto-2-methyl hexanal upon ozonolysis ?

answered Nov 17, 2015 by meena.p

1 answer

If $12$ identical balls are to be placed in 3 identical boxes ,then the probability that one of the boxes contains exactly 3 balls is :

answered Nov 17, 2015 by meena.p

1 answer

The area (in sq.units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse $\large\frac{x^2}{9} + \frac{y^2}{5}$ $=1$ is :

answered Nov 17, 2015 by meena.p

1 answer

Let $f(x)$ be a polynomial of degree four having extreme values at $x=1$ and $x=2$ If $\lim\limits_{x \to 0} \bigg[1+\large\frac{f(x)}{x^2}\bigg]$ $=3$ then $(2)$ is equal to :

answered Nov 17, 2015 by meena.p

1 answer

Let $\alpha$ and $\beta$ be the roots of equation $x^2-6x-2 =0$ . If $a_n = \alpha ^n -\beta^n$ , for $n \geq 1$ , then the value of $\large\frac{a_{10}-2_{a8}}{2_{a9}}$ is equal to :

answered Nov 17, 2015 by meena.p

1 answer

The integral $\int \limits_2^4 \large\frac{\log x^2}{\log x^2+\log(36-12x+x^2)}$ $dx$ is equal to :

answered Nov 17, 2015 by meena.p

1 answer

The mean of the data set comprising of 16 observations is $16$ . If one of the observation valued 16 is deleted and three new observations, valued 16 is deleted and three new observation valued $3,4$ and $5$ are added to the mean of the resultant data, is :

answered Nov 17, 2015 by meena.p

1 answer

If the function $g(x) = \left\{ \begin{array} {1 1} k \sqrt{x+1} , & \quad 0 \leq x \leq 3 \\ mx+2,& \quad 3 < x \leq 5 \end{array} \right.$ is differentiable , then the value of $k+m$ is :

answered Nov 17, 2015 by meena.p

1 answer

Let $\tan^{-1}y = \tan ^{-1}x + \tan^{-1} \bigg(\large\frac{2x}{1-x^2}\bigg)$ , where $|x| < \frac{1}{\sqrt 3 }$ . Then a value of y is :

answered Nov 17, 2015 by meena.p

1 answer

The normal to the curve , $x^2+2xy-3y^2=0$ at (1,1):

answered Nov 17, 2015 by meena.p

1 answer

The integral $\int \frac{dx}{x^2(x^4+1)^{3/4}}$ equals :

answered Nov 17, 2015 by meena.p

1 answer

The negation of $\sim S \vee ( \sim r \wedge s)$ is equivalent to :

answered Nov 13, 2015 by meena.p

1 answer

If m is the A.M of two distinct real number l and n (l,n >1) and $G_1,G_2$ and $G_3$ are three geometric means between l and n, then $G_1^4 +2 G_2^4+G_3^4$ equals

answered Nov 13, 2015 by meena.p

1 answer

If $A=\begin{bmatrix}1 & 2 & 2 \\ 2 & 1 & -2\\ a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation $AA^T=9I$ , where I is $3 \times 3$ identity matrix , then the ordered pair $(a,b)$ is equal to :

answered Nov 13, 2015 by meena.p

1 answer

Let $y(x)$ be the solution of the differential equation $(x log x) \frac{dy}{dz}$ $+y=2x \log x , x (\geq 1)$ Then $y(e)$ i equal to :

answered Nov 13, 2015 by meena.p

1 answer

The number of integers greater than $6,000$ that can be formed , using the digits $3,5,6,7$ and $8$ , with out repetion, is :

answered Nov 13, 2015 by meena.p

1 answer

The number of common tangents to the circles $x^2+y^2-4x-6y-12=0$ and $x^2+y^2+6x+18y+26=0$ , is :

answered Nov 13, 2015 by meena.p

1 answer

A complex number z is said to be uni modular if $|z|=1$ . suppose $z_1$ and $z_2$ are complex numbers such that $\large\frac{z_1-2z_2}{2-z_1z_2}$ is unimodular and $z_2$ is not unimodular. Then the point $z_1$ lies on a :

answered Nov 13, 2015 by meena.p

1 answer

The set of all values of $\lambda$ for which the system of linear of linear equations : $2x_1-2x_2+x_3 =\lambda x_1 \\ 2x_1-3x_2+2x_3 =\lambda x_2 \\ -x_1 + 2x_2 = \lambda x_3$ has a non- trivital solution,

answered Nov 13, 2015 by meena.p

1 answer

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