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19. How many litres of water must be added to 1 litre an aqueous solution of $\mathrm{HCl}$ with a $\mathrm{pH}$ of 1 to create an aqueous solution with $\mathrm{pH}$ of 2 ?
(a) $0.1 \mathrm{~L}$
(b) $0.9 \mathrm{~L}$
(c) $2.0 \mathrm{~L}$
(d) $9.0 \mathrm{~L}$ | 1 |
48. For a $d$-electron, the orbital angular momentum is
(a) $\sqrt{6} \hbar$
(b) $\sqrt{2} \hbar$
(c) $\hbar$
(d) $2 \hbar$
[Hint: $L=\sqrt{l(l+1)} \hbar ; l=0,1,2, \ldots ; \hbar=\frac{h}{2 \pi} ; \hbar$ is called Dirac h]
(IIT 1997) | 1 |
When did Iraq gain independence from Britain? | 0 |
What is natural selection? | 0 |
2. A mass of $10 \mathrm{~kg}$ is suspended vertically by a rope from the roof. When a horizontal force is applied on the mass, the rope deviated at an angle of $45^{\circ}$ at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is
(Take, $g=10 \mathrm{~ms}^{-2}$ )
(a) $70 \ma... | 1 |
5. Which of the following is true ( $\{$.$\} denotes the fractional$ part of the function)?
a. $\lim _{x \rightarrow \infty} \frac{\log _{e} x}{\{x\}}=\infty$
b. $\lim _{x \rightarrow 2^{+}} \frac{x}{x^{2}-x-2}=\infty$
c. $\lim _{x \rightarrow-1^{-}} \frac{x}{x^{2}-x-2}=-\infty$
d. $\lim _{x \rightarrow \infty} \frac{\... | 1 |
Wich is the best academy of computer networking in Chennai? | 0 |
Name three philosophers of the last 100 years arguing for the existence of God? | 0 |
Example 5.11 A circular racetrack of radius 300 m is banked at an angle of $15^{\circ}$. If the coefficient of friction between the wheels of a race-car and the road is 0.2 , what is the (a) optimum speed of the racecar to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping? | 1 |
What is the theory behind Empirical analyses? | 0 |
How do I share Internet on my laptop's WiFi connection using a mobile 3G- or 4G-modem? | 0 |
Of what discipline is ethology a branch? | 0 |
6. A man of mass $M$ is standing on a platform of mass $m_{1}$ and holding a string passing over a system of ideal pulleys. Another mass $m_{2}$ is hanging as shown.
$$
\left(m_{2}=20 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}, g=10 \mathrm{~ms}^{-2}\right)
$$
| Column I | Column II |
| :--- | :--- |
| (a) Weight of man for... | 1 |
92 High-mass radionuclides, which may be either alpha or beta emitters, belong to one of four decay chains, depending on whether their mass number $A$ is of the form $4 n, 4 n+1,4 n+2$, or $4 n+3$, where $n$ is a positive integer. (a) Justify this statement and show that if a nuclide belongs to one of these families, a... | 1 |
14. On the ellipse $4 x^{2}+9 y^{2}=1$, the point at which the tangents are parallel to the line $8 x=9 y$, are
(a) $\frac{2}{5}, \frac{1}{5}$
(b) $-\frac{2}{5}, \frac{1}{5}$
(c) $-\frac{2}{5},-\frac{1}{5}$
(d) $\frac{2}{5},-\frac{1}{5}$ | 1 |
1. A circle touching the $X$-axis at $(3,0)$ and making a intercept of length 8 on the $Y$-axis passes through the point
(a) $(3,10)$
(b) $(3,5)$
(c) $(2,3)$
(d) $(1,5)$ | 1 |
38. The figure shows the $p-V$ plot an ideal gas taken through a cycle $A B C D A$. The part $A B C$ is a semi-circle and $C D A$ is half of an ellipse. Then,
(a) the process during the p... | 1 |
Why did America vote for Donald Trump as President in the 2016 Elections? | 0 |
19. Let $f: R \rightarrow R$ be a continuous function, which satisfies $f(x)=\int_{0}^{x} f(t) d t$. Then, the value of $f(\ln 5)$ is ... | 1 |
4. The electric potential decreases uniformly from $120 \mathrm{~V}$ to $80 \mathrm{~V}$ as one moves on the $x$-axis from $x=-1 \mathrm{~cm}$ to $x=+1 \mathrm{~cm}$. The electric field at the origin
(a) must be equal to $20 \mathrm{Vcm}^{-1}$
(b) may be equal to $20 \mathrm{Vcm}^{-1}$
(c) may be greater than $20 \m... | 1 |
What are the top 5 sledging moments in cricket? | 0 |
How many people were added to the British Empire between 1815 and 1914? | 0 |
What did the Khmer & Indonesian classical arts depict of? | 0 |
Which newspapers do you read regularly? | 0 |
Which field is better to get a job in, embedded or VLSI? Why? | 0 |
name an event that can be contributed to the revolution. | 0 |
What are the best online short courses in digital marketing? | 0 |
What do individuals typically experience? | 0 |
Until what century was brain studying mostly anatomical? | 0 |
29. An electron moving in a circular orbit of radius $R$ with frequency $f$. The magnetic field at the centre of the orbit is
(a) $\frac{\mu_{0} e f}{2 \pi R}$
(b) $\frac{\mu_{0} e f}{2 R}$
(c) $\frac{\mu e f^{2}}{2 R}$
(d) zero | 1 |
What are the best resources to learn OOP in c#? | 0 |
74. If the function $f(x)=\frac{t+3 x-x^{2}}{x-4}$, where $t$ is a parameter that has a minimum and maximum, then the range of values of $t$ is
a. $(0,4)$
b. $(0, \infty)$
c. $(-\infty, 4)$
d. $(4, \infty)$ | 1 |
11. Statement 1: If the lines $2 x+3 y+19=0$ and $9 x+6 y$ $-17=0$ cut the axis in $A, B$ and $y$-axis at $C, D$, then points $A, B, C, D$ are concyclic.
Statement 2: Since $O A \times O B=O C \times O D$, where $O$ is origin, therefore $A, B, C, D$ are concyclic. | 1 |
Which free download Android apps are best? | 0 |
Name a famous pantheist? | 0 |
What is time in physics? | 0 |
How is a haze formed? | 0 |
1. If $a, b, c$ be the sides of a triangle $A B C$ and the roots of the equation $a(b-c) x^{2}+b(c-a) x+c(a-b)$ $=0$ are equal, then $\sin ^{2}\left(\frac{\mathrm{A}}{2}\right), \sin ^{2}\left(\frac{\mathrm{B}}{2}\right), \sin ^{2}\left(\frac{\mathrm{C}}{2}\right)$ are in
(a) AP
(b) GP
(c) AGP
(d) HP | 1 |
4. A capillary tube is dipped in a liquid. Let pressures at points $A, B$ and $C$ be $p_{A}, p_{B}$ and $p_{C}$ respectively, then
Fig. 16.88
(a) $p_{A}=p_{B}=p_{C}$
(b) $p_{A}=p_{B}<p_{... | 1 |
16. A newly isolated natural product was found to have the molecular formula C15H 28O2
. By hydrogenating a
sample of the compound, it was determined to possess one -bond. How many rings are present in the
compound?
(A) 0 (B) 1 (C) 2 (D) 3
(E) 4 | 1 |
Did KONY 2012 have any effect on warlords in Africa? Any at all? | 0 |
36. In a galvanic cell, the salt bridge
(a) does not participate chemically in the reaction.
(b) stops the diffusion of ions from one electrode to other.
(c) is necessary for the occurence of the cell reaction.
(d) ensures mixing of two electrolytic solutions.
(IIT 2014 Adv.) | 1 |
What is my purpose in life? Why is there life on Earth? | 0 |
Who coined the term phytochoria? | 0 |
How can I test Spring Framework session scope in unit tests? | 0 |
 | 1 |
Mayer Rothschild was said to have discounted bills for the Landgrave of Hesse. What does this entail? | 0 |
6. The complex numbers $z_{1}, z_{2}$ and $z_{3}$ satisfying $\frac{z_{1}-z_{3}}{z_{2}-z_{3}}=\frac{1-i \sqrt{3}}{2}$ are the vertices of a triangle which is
(a) of area zero
(b) right angled isosceles
(c) equilateral
(d) obtuse angled isosceles | 1 |
Can someone with a good business idea in a country like Peru get seed capital / funding from american VCs, even if the project is aimed for the Latin markets? How hard is it? What would I need to do? | 0 |
In what season does New Delhi's air pollution worsen? | 0 |
53. The correct statement(s) for cubic-closed packed (c.c.p.) three dimensional structure is(are)
(a) the number of nearest neighbours of an atom present in the topmost layer is 12.
(b) the packing efficiency of atom is $74 \%$.
(c) the number of octahedral and tetrahedral voids per atom are 1 and 2 respectively.
(d) t... | 1 |
Why does Pokèmon GO cannot detect my location even if its turned on in high accuracy mode? | 0 |
6. Which of the following compounds produces an optically inactive compound on hydrogenation?
[Main Sep. 03, $2020(\mathbf{2}(\mathbf{2})]$
(a)
(b)
(a) 8 and 6
(b) 6 and 8
(c) 6 and 6
(d) 8 an... | 1 |
1.83. A particle of mass $m$ moves along a circle of radius $R$. Find the modulus of the average vector of the force acting on the particle over the distance equal to a quarter of the circle, if the particle moves
(a) uniformly with velocity $v$;
(b) with constant tangential acceleration $w_{\tau}$, the initial veloc... | 1 |
3.5 Write the Nernst equation and emf of the following cells at 298 K :
(i) $\mathrm{Mg}(\mathrm{s})\left|\mathrm{Mg}^{2+}(0.001 \mathrm{M}) \| \mathrm{Cu}^{2+}(0.0001 \mathrm{M})\right| \mathrm{Cu}(\mathrm{s})$
(ii) $\mathrm{Fe}(\mathrm{s})\left|\mathrm{Fe}^{2+}(0.001 \mathrm{M}) \| \mathrm{H}^{+}(1 \mathrm{M})\righ... | 1 |
1. For harder X-rays,
(a) the wavelength is higher
(b) the intensity is higher
(c) the frequency is higher
(d) the photon energy is higher. | 1 |
11. Among the statements (A)-(D), the incorrect ones are:
[Main Jan. 07, 2020 (II)]
(A) Octahedral $\mathrm{Co}(\mathrm{III})$ complexes with strong field ligands have very high magnetic moments
(B) When $\square_{0}<\mathrm{P}$, the $d$-electron configuration of $\mathrm{Co}$ (III) in an octahedral complex is $t_{2... | 1 |
How successful is fundingcircle.com? | 0 |
37. If $\lim _{n \rightarrow \infty} \frac{n \cdot 3^{n}}{n(x-2)^{n}+n \cdot 3^{n+1}-3^{n}}=\frac{1}{3}$, then the range of $x$ is (where $n \in N$ )
a. $[2,5)$
b. $(1,5)$
c. $(-1,5)$
d. $(-\infty, \infty)$ | 1 |
What is the significance of the Battle of Vimy Ridge? | 0 |
What is the expected KVPY 2016 SA cut off? | 0 |
What are some ways that the Chinese economy is different through China being communist? | 0 |
28. A solid sphere falls with a terminal velocity of $20 \mathrm{~m} \mathrm{~s}^{-1}$ in air. If it is allowed to fall in vacuum,
(a) terminal velocity will be $20 \mathrm{~m} \mathrm{~s}^{-1}$
(b) terminal velocity will be less than $20 \mathrm{~m} \mathrm{~s}^{-1}$
(c) terminal velocity will be more than $20 \mat... | 1 |
24. In the expansion of $\left(1+x+x^{3}+x^{4}\right)^{10}$, the coefficient of $x^{4}$ is
a. ${ }^{40} C_{4}$
b. ${ }^{10} C_{4}$
c. 210
d. 310 | 1 |
Could the US become an empire? | 0 |
Who are some of William Morris Endeavor's most famous clients? | 0 |
16. Two small bodies of masses $2.00 \mathrm{~kg}$ and $4.00 \mathrm{~kg}$ are kept at rest at a separation of $2.0 \mathrm{~m}$. Where should a particle of mass $0.10 \mathrm{~kg}$ be placed to experience no net gravitational force from these bodies? The particle is placed at this point. What is the gravitational pote... | 1 |
3. Consider the situation as shown in figure. The point $O$ is the centre. The light ray forms an angle of $60^{\circ}$ with the normal. The normal makes an angle $60^{\circ}$ with the horizontal and each mirror makes an angle $60^{\circ}$ with the normal. The value of refractive index of that spherical portion so that... | 1 |
What is it like to have imaginary friends? How do I know whether I had imaginary friends as a child? | 0 |
1. Which of the following functions have finite number of points of discontinuity in $R([\cdot]$ represents greatest integer function)?
a. $\tan x$
h. $x[x]$
c. $\frac{|x|}{x}$
d $\sin [\pi x]$ | 1 |
When did Britain recognize American independence? | 0 |
What is a good gaming laptop for under £800? | 0 |
What is the difference between "&" and "and"? | 0 |
1. Kraft temperature is the temperature:
(a) below which the aqueous solution of detergents starts freezing.
(b) below which the formation of micelles takes place.
(c) above which the aqueous solution of detergents starts boiling.
(d) above which the formation of micelles takes place. | 1 |
5. An object is kept at a distance of $16 \mathrm{~cm}$ from a thin lens and the image formed is real. If the object is kept at a distance of $6 \mathrm{~cm}$ from the same lens, the image formed is virtual. If the sizes of the image formed are equal, the focal length of the lens will be
(a) $19 \mathrm{~cm}$
(b) $17 \... | 1 |
When does the monsoon season occur in New Delhi? | 0 |
14. An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature $T_{1}$, pressure $P_{1}$ and volume $V_{1}$ and the spring is in its relaxed state. The gas is then heated very slowly to temperature $T_{2}$, pressure $P_{2}$ and vo... | 1 |
What might be the qualifing mark in neet 2016? | 0 |
3.17 How would you explain the fact that the first ionization enthalpy of sodium is lower than that of magnesium but its second ionization enthalpy is higher than that of magnesium? | 1 |
- Example 8 For $a=0$, the value of $d$ (maximum value of $\rho$ as shown in the figure) is
(a) $\frac{3 Z e}{4 \pi R^{3}}$
(b) $\frac{3 Z e}{\pi R^{3}}$
(c) $\frac{4 Z e}{3 \pi R^{3}}$
(d) $... | 1 |
In what year was Rome conquered? | 0 |
7.  | 1 |
Example 38.7
Calculate the energy stored in an inductor of inductance $50 \mathrm{mH}$ when a current of $2.0 \mathrm{~A}$ is passed through it. | 1 |
33. Given: $E_{\mathrm{Cr}^{3+}, \mathrm{Cr}}^{0}=-0.74 \mathrm{~V}$
$$
\begin{aligned}
& E_{\mathrm{MnO}_{4}^{-}, \mathrm{Mn}^{2+}}^{0}=1.51 \mathrm{~V} \\
& E_{\mathrm{Cr}_{2} \mathrm{O}_{7}^{-}, \mathrm{Cr}^{3+}=1.33 \mathrm{~V}} \\
& E_{\mathrm{Cl}_{1,}, \mathrm{Cl}^{-}}=1.36 \mathrm{~V}
\end{aligned}
$$
Based on... | 1 |
What's the biggest mistake you made in your 20's? | 0 |
7. Assertion : Average velocity can't be zero in case of uniform acceleration.
Reason : For average velocity to be zero, a non zero velocity should not remain constant.
\section*{190 ・ Mechanics - I} | 1 |
What does the term Stimulus diffusion mean? | 0 |
What time do the texts locating Magadha kingdom predate? | 0 |
What are delusional projections? | 0 |
How does honey help you lose weight? | 0 |
What attracts men to women? | 0 |
3.9 What does atomic radius and ionic radius really mean to you? | 1 |
Is George Will correct that Trump's refusal to release his tax returns is a result of ties to Russian oligarchs? Is there any basis for Will’s claim? | 0 |
18. The number of $3 \times 3$ matrices $A$ whose entries are either $\begin{array}{ll}x & 1\end{array}$ 0 or 1 and for which the system $A \quad y=0$ has exactly z 0
two distinct solutions, is
(2010)
(a) 0
(b) $2^{9}-1$
(c) 168
(d) 2 | 1 |
8. $\lim _{x \rightarrow \pi / 2} \frac{\cot x-\cos x}{(\pi-2 x)^{3}}$ equals
(2017 Main)
(a) $\frac{1}{24}$
(b) $\frac{1}{16}$
(c) $\frac{1}{8}$
(d) $\frac{1}{4}$ | 1 |
4. Similarity in chemical properties of the atoms of elements in a group of the periodic table is most closely related to:
(a) atomic numbers
(b) atomic masses
(c) number of principal energy levels
(d) number of valence electrons | 1 |
Is Evolution a theory or proven fact? | 0 |
33. If $\rho_{1}$ and $\rho_{2}$ are the densities of $L_{1}$ and $L_{2}$ respectively then, identify the correct statement.
(a) $\mathrm{s}_{1}>\mathrm{s}_{2}, \rho_{1}>\rho_{2}$
(b) $\mathrm{s}_{1}>\mathrm{s}_{2}, \rho_{1}>\rho_{2}$
(c) $\mathrm{s}_{1}<\mathrm{s}_{2}, \rho_{1}>\rho_{2}$
(d) $\mathrm{s}_{1}<\mathr... | 1 |
What are the most common op-amp ICs? | 0 |
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