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Recent questions tagged 2011
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Let $I$ be the purchase value of an equipment and $V(t)$ be the value after it has been used for $t$ years. The value $V(t)$ depreciates at a rate given by diferential equation $\frac{dV(t)}{dt} = -k(T-t)$, where $k>0$ is a constant and $T$ is the total life in years of the equipment. Then the scrap value $V(T)$ of the equipment is
jeemain
math
past papers
2011
47
asked
1 day
ago
by
pady_1
0
answers
Identify the compound that exhibits tautomerism.
jeemain
chemistry
past papers
2011
90
asked
1 day
ago
by
pady_1
0
answers
The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of $10 \; dm^3$ to a volume of $100\; dm^3$ at $27^ {\circ} C$ is :
jeemain
chemistry
past papers
2011
89
asked
1 day
ago
by
pady_1
0
answers
In a face centred cubic lattice, atom A occupies the corner position and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is :
jeemain
chemistry
past papers
2011
88
asked
1 day
ago
by
pady_1
0
answers
Phenol is heated with a solution of mixture of $KBr$ and $KBrO_3$. The major product obtained in the above reaction is
jeemain
chemistry
past papers
2011
87
asked
1 day
ago
by
pady_1
0
answers
Which of the following reagents may be used to distinguish between phenol and benzoic acid?
jeemain
chemistry
past papers
2011
86
asked
1 day
ago
by
pady_1
0
answers
Silver Mirror test is givn by which one of the following compounds ?
jeemain
chemistry
past papers
2011
85
asked
1 day
ago
by
pady_1
0
answers
A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at 680 nm, the other is at :
jeemain
chemistry
past papers
2011
84
asked
1 day
ago
by
pady_1
0
answers
Ozonolysis of an organic compound gives formaldehyde as one of the products.. This confirms the presence of :
jeemain
chemistry
past papers
2011
83
asked
1 day
ago
by
pady_1
0
answers
The structure of $IF_7$ is :
jeemain
chemistry
past papers
2011
82
asked
1 day
ago
by
pady_1
0
answers
Which of the following statements regarding sulpher is incorrect ?
jeemain
chemistry
past papers
2011
81
asked
1 day
ago
by
pady_1
0
answers
The outer electron configuration of Gd (Atomic No:64) is :
jeemain
chemistry
past papers
2011
80
asked
1 day
ago
by
pady_1
0
answers
Which of the following statement is wrong ?
jeemain
chemistry
past papers
2011
79
asked
1 day
ago
by
pady_1
0
answers
A 5.2 molal aqueous solution of methyl alcohol, $CH_3OH$, is supplied. What is the mole fraction of methyl alcohol in the solution ?
jeemain
chemistry
past papers
2011
78
asked
1 day
ago
by
pady_1
0
answers
In context of the lanthanoids, which of the following statements is not correct ?
jeemain
chemistry
past papers
2011
77
asked
1 day
ago
by
pady_1
0
answers
The hybridization of orbitals of N atom in $NO_3^-, NO_2^+$ and $NH_4^+$ are respectively :
jeemain
chemistry
past papers
2011
76
asked
1 day
ago
by
pady_1
0
answers
The magnetic moment (spin only) of $[NiCl_4]^{2-}$ is
jeemain
chemistry
past papers
2011
75
asked
1 day
ago
by
pady_1
0
answers
The rate of a chemical reaction doubles for every $10^{\circ}C$ rise of temperature. If the temperature is raised by $50^{\circ}C$, the rate of the reaction increases by about :
jeemain
chemistry
past papers
2011
74
asked
1 day
ago
by
pady_1
0
answers
Which one of the following order represents the correct sequence of the increasing basic nature of the given oxides ?
jeemain
chemistry
past papers
2011
73
asked
1 day
ago
by
pady_1
0
answers
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be added to 4 kg of water to prevent it from freezing at $-6^{\circ} C$ will be : <br> [$K_f$ for water = 1.86 $K \; kg\; mol^{-1}$, and molar mass of ethylene glycol = 62 $g\; mol^{-1}$ )
jeemain
chemistry
past papers
2011
72
asked
1 day
ago
by
pady_1
0
answers
Which of the following facts about the complex $[Cr (NH_3)_6] Cl_3$ is wrong ?
jeemain
chemistry
past papers
2011
71
asked
1 day
ago
by
pady_1
0
answers
Boron cannot form which one of the following anions ?
jeemain
chemistry
past papers
2011
70
asked
1 day
ago
by
pady_1
0
answers
A vessel at 1000 K contains $CO_2$ with a pressure of 0.5 atm. Some of the $CO_2$ is converted into $CO$ on the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of $K$ is
jeemain
chemistry
past papers
2011
69
asked
1 day
ago
by
pady_1
0
answers
a' and 'b' are van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because
jeemain
chemistry
past papers
2011
68
asked
1 day
ago
by
pady_1
0
answers
The degree of dissociation $(\alpha$) of a weak electrolyte $A_xB_y$ is related to vant Hoff factor (i) by the expression :
jeemain
chemistry
past papers
2011
67
asked
1 day
ago
by
pady_1
0
answers
The strongest acid amongst the following compounds is :
jeemain
chemistry
past papers
2011
66
asked
1 day
ago
by
pady_1
0
answers
The reduction potential of hydrogen half cell will be negative if :
jeemain
chemistry
past papers
2011
65
asked
1 day
ago
by
pady_1
0
answers
Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above reaction is :
jeemain
chemistry
past papers
2011
64
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1 day
ago
by
pady_1
0
answers
Trichloroacetaldehyde was subjected to Cannizzaro's reaction by using NaOH. The mixture of the products contains sodium trichloroacetate and another compound. The other compound is :
jeemain
chemistry
past papers
2011
63
asked
1 day
ago
by
pady_1
0
answers
The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?
jeemain
chemistry
past papers
2011
62
asked
1 day
ago
by
pady_1
0
answers
Among the following the maximum covalent character is shown by the compound :
jeemain
chemistry
past papers
2011
61
asked
1 day
ago
by
pady_1
0
answers
For $x \in (0, \frac{5 \pi}{2})$, define $f(x) = \int_0^x \;\sqrt{t} \;\sin t \;dt$. Then $f$ has
jeemain
math
past papers
2011
60
asked
1 day
ago
by
pady_1
0
answers
The area of the region enclosed by the curves $ y = x,\; \; x = e, \; \; y = \frac{1}{x}$ are the positive x-axis is
jeemain
math
past papers
2011
59
asked
1 day
ago
by
pady_1
0
answers
The value of p and q for which the function $ f(x) = \begin{cases} \frac{\sin (p+1) x + \sin x}{x} &, x < 0 \\ \; \; \;\; \;q &, x = 0 \\ \frac{\sqrt{x+x^2} - \sqrt{x}}{x^{3/2}} & , x > 0 \end{cases} $ <br> is continuous for all $x$ in $R$, is
jeemain
math
past papers
2011
58
asked
1 day
ago
by
pady_1
0
answers
If $\omega (\neq 1)$ is a cube root of unity, and $(1 + \omega)^7 = A + B \omega$. Then $(A, B)$ equals
jeemain
math
past papers
2011
57
asked
1 day
ago
by
pady_1
0
answers
Let A and B be two symmetric matrices of order 3. <br> Statement-1 : A (BA) and (AB) A are symmetric matrices. <br> Statement -2 : AB is symmetric matrix if matrix multiplication of A and B is commutative.
jeemain
math
past papers
2011
56
asked
1 day
ago
by
pady_1
0
answers
Statement-1 : The point A (1, 0, 7) is the mirror image of the point B (1, 6, 3) in the line $\frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3}$ <br> Statement-2 : The line $\frac{x}{1} = \frac{y-1}{2} = \frac{z-2}{3}$ bisects the line segment joining A (1, 0, 7) and B (1, 6, 3)
jeemain
math
past papers
2011
55
asked
1 day
ago
by
pady_1
0
answers
If the mean deviation about the medium of the numbers a, 2a, . . . ., 50a is 50, then |a| equals
jeemain
math
past papers
2011
54
asked
1 day
ago
by
pady_1
0
answers
The shortest distance between line $ y-x=1$ and curve $x=y^2$ is
jeemain
math
past papers
2011
53
asked
1 day
ago
by
pady_1
0
answers
Consider the following statements <br> P : Suman is brilliant <br> Q : Suman is rich <br> R : Suman is honest <br> The negative of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as
jeemain
math
past papers
2011
52
asked
1 day
ago
by
pady_1
0
answers
The number of values of k for which the linear equations 4x + ky + 2z = 0; kx + 4y + z=0; 2x + 2y + z = 0 possess a non-zero solution is
jeemain
math
past papers
2011
51
asked
1 day
ago
by
pady_1
0
answers
If C and D are two events such that $C \subset D$ and $P(D) \neq 0$, then the correct statement among the following is
jeemain
math
past papers
2011
50
asked
1 day
ago
by
pady_1
0
answers
The two circles $x^2+y^2=ax$ and $x^2+y^2 =c^2 (c>0)$ touch each other if
jeemain
math
past papers
2011
49
asked
1 day
ago
by
pady_1
0
answers
The vector $\overrightarrow{a}$ and $\overrightarrow{b}$ are not perpendicular and $\overrightarrow{c}$ and $\overrightarrow{d}$ are two vectors satisfying : $\overrightarrow{b} \times \overrightarrow{c} = \overrightarrow{b} \times \overrightarrow{d}$ and $\overrightarrow{a}.\overrightarrow{d} =0$. Then the vector $\overrightarrow{d}$ is equal to
jeemain
math
past papers
2011
48
asked
1 day
ago
by
pady_1
0
answers
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity $\sqrt{\frac{2}{5}}$ is
jeemain
math
past papers
2011
46
asked
1 day
ago
by
pady_1
0
answers
If $\overrightarrow{a} = \frac{1}{\sqrt{10}} (3 \hat{i} + \hat{k})$ and $\overrightarrow{b} =\frac{1}{7} (2 \hat{i} + 3 \hat{j} - 6\hat{k})$, then the value of $(2 \overrightarrow{a} - \overrightarrow{b} ) . [ (\overrightarrow{a} \times \overrightarrow{b} ) \times (\overrightarrow{a} + \overrightarrow{2b} ) ]$ is
jeemain
math
past papers
2011
45
asked
1 day
ago
by
pady_1
0
answers
If the angle between the line $x= \frac{y-1}{2} = \frac{z-3}{\lambda}$ and the plane $x + 2y + 3z = 4$ is $\cos^{-1} (\sqrt{\frac{5}{14}})$, then $\lambda$ equals
jeemain
math
past papers
2011
44
asked
1 day
ago
by
pady_1
0
answers
The domain of the function $f(x) = \frac{1}{\sqrt{|x|-x}}$ is
jeemain
math
past papers
2011
43
asked
1 day
ago
by
pady_1
0
answers
A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after
jeemain
math
past papers
2011
42
asked
1 day
ago
by
pady_1
0
answers
Consider 5 independent Bernoulli's trials each with probability of success p. If the probability of at least one failure is greater than or equal to $\frac{31}{32}$, then p lies in the interval
jeemain
math
past papers
2011
41
asked
1 day
ago
by
pady_1
0
answers
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