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JEEMAIN-2015
A complex number z is said to be unimodular if $|z|=1$ .Suppose $z_1$ and $z_2$ are complex number Such that $ \large\frac{z_1 -2 z_2}{2-z_1z_2}$is unimodular and $z_2$ is not unimodular . Then the point $Z_1$ lies on a :
jeemain
2015
maths
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Let A and B two set containing four and two elements respectively . Then the number of subsets of the set $A \times B$ , each having at least three elements is :
jeemain
2015
maths
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which of the following compounds is not colored yellow ?
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which of the following compounds is not an antacid ?
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which of the vitamins given below is water soluble ?
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which polymer is used in the manufacture of paints and lacquers ?
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
In the reaction
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
0
answers
In the reaction
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
In the following sequence of reactions : Find the product of C is :
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
The synthesis of alkyl fluorides is best accomplished by :
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which compound would give 5- keto -2- methyl hexanal upon oznolysis ?
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which of the following compounds will exhibit geometrical isomerism ?
jeemain
2015
chemistry
set a
asked
Oct 14, 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
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Assertion : Nitrogen and oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen . Reason : The reaction between nitrogen and oxygen requires high temperature .
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
The color of $KMnO_4$ is due to :
jeemain
2015
chemistry
set a
asked
Oct 14, 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 ):
jeemain
2015
chemistry
set a
asked
Oct 14, 2015
by
meena.p
1
answer
Which one has the highest boiling point ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Match the catalysts to the correct processes :
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Which among the following is the most reactive ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
From the following statements regarding $H_2O_2$ , choose the incorrect statement :
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
In the context of the Hall -Hero ult process for the extraction of Al, which of the following statement is false ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
The ionic radii (in A) of $NH^{3-},O^{2-}$ and $F^{-}$ are respectively:
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
$3\;g$ of activated charcoal was added to $50\;mL$ of acetic acid solution $(0.06\;N)$ in a flask. After an hour it was filtered and strength of the filtrate was found to be $0.042\;N$ . the amount of acetic acid absorbed (per gram of charcoal) is :
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Higher order $(>3)$ reactions are rare due to :
jeemain
2015
chemistry
set a
asked
Oct 13, 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 $Cu=63.5\;amu)$
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
The standard Gibbs energy change at 300 K for the reaction $2A \rightleftharpoons B +C$ is $2494.2J$ . At a given time, the composition of the reaction mixture is $[A]= \frac{1}{2}, [B]=2$ and $ [C]=\frac{1}{2}$. The reaction proceeds in the : $[R= 8.314\;J/K/mol,e=2.718]$
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
The vapour pressures of acetone at $ 20^{\circ}$ 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 :
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
The following reaction is performed at $298 \;K$ $2NO(g) +O_2(g) \rightleftharpoons 2NO_2(g)$ . The standard free energy of formation of $NO(g)$ is $86.6\;kJ/mol$ at $298\;K$. What is the standard free energy of formation of $NO_2(g) $ at $298\;K?$
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
The inter molecular interaction that is dependent on the inverse cube of distance between the molecules is :
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
2
answers
Which of the following is the energy of a possible excited state of hydrogen ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of $ 4.29 \mathring{A}$. The radius of sodium atom is approximately :
jeemain
2015
chemistry
set a
asked
Oct 13, 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 ?
jeemain
2015
chemistry
set a
asked
Oct 13, 2015
by
meena.p
1
answer
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to $Q_0$ and then connected to the L and R as shown below : If a student plots graphs of the square of maximum charge $(Q^2_{max})$ on the capacitor with time(t) for two different values $L_1$ and $L_2(L_1 > L_2)$ of L then which of the following represents this graph correctly ?
jeemain
2015
physics
set a
asked
Oct 13, 2015
by
meena.p
1
answer
A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. The frequencies of the resultant signal is /are :
jeemain
2015
physics
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Match list -I (Fundamental experiment) with List - II (its conclusion ) and select the correct option from the choices given below the list :
jeemain
2015
physics
set a
asked
Oct 13, 2015
by
meena.p
1
answer
As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom / ion :
jeemain
2015
physics
set a
asked
Oct 13, 2015
by
meena.p
1
answer
Assuming human pupil to have a radius of $0.25\;cm$ and a comfortable viewing distance of $25\;cm$ , the minimum separation between two objects that human eye can resolve at 500 nm wavelength is :
jeemain
2015
physics
set a
asked
Oct 13, 2015
by
meena.p
1
answer
On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally,the Huygen's principle leads us to conclude that as it travels , the light beam
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is $ \mu$, a ray, incident at an angle $\theta$ , on the face $AC$ of the prism provided:
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
A red LED emits light at $0.1$ watt uniformly around it. The amplitude of the electric field of the light at a distance of $1m$ from the diode is
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
An inductor $(L=0.03H)$ and a resistor $(R= 0.15\;k\Omega)$ are connected in series to battery of $15\;V\;EMF$ in a circuit shown below. The key $K_1$ has been kept closed below. . The key kept closed for a long time. Then at $ t=0$, $K_1$ is opened and the key $K_2$ is closed simultaneously . At $t= 1\;ms$ , the current in the circuit will be : $(e^5 \approx 150)$
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below : If there is a uniform magnetic field of $0.3 \;T$ in the positive Z direction , in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium ?
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
Two long current thin wires, both with current I, are held by insulating threads of length L and are in equilibrium as shown in the fig, with threads making an angle $\theta$ with the vertical . If wires have mass $\lambda$ per unit length then the value of I is :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
Two coaxial solenoids of different radii carry current I in the same direction. Let $\overrightarrow{F_1}$ be the magnetic force on the inner solenoid due to the outer one and $\overrightarrow{F_2}$ be the magnetic force on the outer solenoid due to the inner one . Then :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
In the circuit shown, the current ion the $1 \Omega$ resistor is :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
When $5V$ potential difference is applied across a wire of length $0.1\;m$, the drift speed of electrons density in the wire is $8 \times 10^{28}\;m^{-3}$, the resistivity of the material is close to :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
In the given circuit , charge $Q_2$ on the $2 \mu F$ capacitor changes as C is varied from $1 \mu F$ to $3 \mu F$ . $Q_2$ as function of 'C' is given properly by :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
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
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
2
answers
A long cylindrical shell carries positive surface charge $\sigma$ in the upper half and negative surface $- \sigma$ in the lower half. The electric field lines around the cylinder will look figure given in :
jeemain
2015
physics
set a
asked
Oct 12, 2015
by
meena.p
1
answer
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