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Along with the Baltic and Spain, in what area were crusades called? | 0 |
When did Britain withdraw from Sudan? | 0 |
65. The line through $\hat{i}+3 \hat{j}+2 \hat{k}$ and $\perp$ to the line $\vec{r}=(\hat{i}+2 \hat{j}-\hat{k})+\lambda(2 \hat{i}+\hat{j}+\hat{k})$ and $\vec{r}=(2 \hat{i}+6 \hat{j}+\hat{k})$ $+\mu(\hat{i}+2 \hat{j}+3 \hat{k})$ is
a. $\vec{r}=(\hat{i}+2 \hat{j}-\hat{k})+\lambda(-\hat{i}+5 \hat{j}-3 \hat{k})$
b. $\vec{r... | 1 |
50. Which curve corresponds to the temperature dependence of the rate $R$ of a simple one-step reaction?
(a)
(b)
 that are possible on monochlorination of the following compound is
 | 1 |
Which woman has world's most attractive belly button? | 0 |
6. A conductor lies along the $z$-axis at $-1.5 \leq z<1.5 \mathrm{~m}$ and carries a fixed current of $10.0 \mathrm{~A}$ in $-a_{z}$ direction (see figure). For a field $\mathbf{B}=3.0 \times 10^{-4} e^{-0.2 x} a_{y} \mathrm{~T}$, find the power required to move the conductor at constant speed to $x=2.0 \mathrm{~m}, y... | 1 |
9. In a two slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by $5 \times 10^{-2} \mathrm{~m}$, towards the slits, the change in fringe width is $3 \times 10^{-5} \mathrm{~m}$. If separation between the slits is $10^{-3} \mathrm{~m... | 1 |
(iii) $\beta^{-}$-decay of ${ }_{15}^{32} \mathrm{P}$ | 1 |
What are the top funded startups in China? | 0 |
14. A galvanometer is to be converted into an ammeter or voltmeter. In which of the following cases the resistance of the device is largest?
(a) an ammeter of range $10 \mathrm{~A}$
(b) a voltmeter of range $5 \mathrm{~V}$
(c) an ammeter of range $5 \mathrm{~A}$
(d) a voltmeter of range $10 \mathrm{~V}$ | 1 |
I want to do digital marketing course. Will I do it from India or abroad? | 0 |
Is Putin a Hero? | 0 |
1. Write down the number of significant figures in the following
(a) 6428
(b) $62.00 \mathrm{~m}$
(c) $0.00628 \mathrm{~cm}$
(d) $1200 \mathrm{~N}$ | 1 |
19. How many moles of electron weigh one kilogram?
(a) $\frac{1}{206}$
(b) $\frac{1}{9.108} \times 10^{31}$
(c) $\frac{6.023}{9.108} \times 10^{54}$
(d) $\frac{1}{9.108 \times 6.023} \times 10^{8}$ | 1 |
When is surge pricing on Uber generally in effect in Miami and how high does it go? | 0 |
A Rs. 5000 item can be insured for its total value by paying a premium of Rs. N. If the probability of theft in a given year is estimated to be .01, what premium should the insurance company charge if it wants the expected gain to be equal to Rs. 1000? | 0 |
5. You lift a suitcase from the floor and keep it on a table.
The work done by you on the suitcase does not depend
on
(a) the path taken by the suitcase
(b) the time taken by you in doing so
(c) the weight of the suitcase
(d) your weight. | 1 |
Who felt that the further examination and knowledge of studies in the arena of humanism could further art? | 0 |
Which country did Eden conspire with to cause an attack on Egypt? | 0 |
What does the acronym HMWSSB represent? | 0 |
29. What is the temperature coefficient of the reaction if the rate grows 15.6 times when the temperature is increased by 30 K ?
[Hint: See solved example 35] | 1 |
Which belief system belives in some form of higher powwer, or something, but not organized religion? | 0 |
What is the main motto of human life? | 0 |
24. Prove by the method of vectors that in a triangle
$$
\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}
$$ | 1 |
How do I learn how to trade stocks by myself? | 0 |
How many customers were supplied by Thomas Edison's electrical supply network? | 0 |
Can an average student have success in IAS exams? | 0 |
Is it legal to convert a YouTube to MP3? | 0 |
14. Two blocks A and B are placed in contact on a horizontal surface. Faces of blocks A and B, which are in contact are inclined at $30^{\circ}$ with the horizontal as shown. There is no friction between block A any surface which is in contact with this whereas friction coefficient between block $B$ and the surface is ... | 1 |
7. The figure represents a solid uniform sphere of mass $M$ and radius $R$. A spherical cavity of radius $r$ is at a distance $a$ from the centre of the sphere. The gravitational field inside the cavity is
(a) non-uniform
(b) towards the centre of the cavity
(c) directly proportional to $a$
(d) All of these
$ to $\left(p_{2} V_{2} T_{2}\right)$ under different conditions. The correct statement(s) among the following is(are)
(a) The work done by the gas is less when it is expanded reversibly from $V_{1}$ to $V_{2}$ under adiabatic conditions as compared to th... | 1 |
How is LLm at Jindal global law school? | 0 |
Example 1.44 Solve $|x-3| \geq 2$. | 1 |
14. Which of the alkaline earth metal halides given below is essentially covalent in nature? (a) $\mathrm{SrCl}_{2}$
(b) $\mathrm{CaCl}_{2}$
(c) $\mathrm{BaCl}_{2}$
(d) $\mathrm{MgC}$ | 1 |
6. The degree of dissociation of acetic acid in a 0.1 N solution is $1.32 \times 10^{-2}$. At what concentration of nitrous acid will its degree of dissociation be the same as that of acetic acid? $\quad\left\{K_{\mathrm{a}}\left(\mathrm{HNO}_2\right)=4 \times 10^{-4}\right\}$
(2.3 mole/litre) | 1 |
Aghori: What drives someone to be an aghora? | 0 |
9. In which of the following reactions $\mathrm{H}_{2} \mathrm{O}_{2}$ acts as a reducing agent?
(i) $\mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{H}^{+}+2 \mathrm{e}^{-} \rightarrow 2 \mathrm{H}_{2} \mathrm{O}$
(ii) $\mathrm{H}_{2} \mathrm{O}_{2}-2 \mathrm{e}^{-} \rightarrow \mathrm{O}_{2}+2 \mathrm{H}^{+}$
(iii) $\m... | 1 |
53. Should FeS precipitate from a solution that is saturated in $\mathrm{H}_2 \mathrm{~S}(0.1 \mathrm{M}), 0.002 \mathrm{M}$ in $\mathrm{Fe}^{2+}$ and at a $\mathrm{pH}=3 \cdot 5$ ?
$$
K_{\mathrm{sp}}(\mathrm{FeS})=6.3 \times 10^{-18}, K_{\mathrm{a}}\left(\mathrm{H}_2 \mathrm{~S}\right)=1.1 \times 10^{-21}
$$ | 1 |
5. If the electric potential of the inner shell is $10 \mathrm{~V}$ and that of the outer shell is $5 \mathrm{~V}$, then the potential at the centre will be
(a) $10 \mathrm{~V}$
(b) $5 \mat... | 1 |
What are the bitter truths of going to US for masters as an Indian? | 0 |
6. If $\int f(x) d x=\psi(x)$, then $\int x^{5} f\left(x^{3}\right) d x$ is equal to
(a) $\frac{1}{3}\left[x^{3} \psi\left(x^{3}\right)-\int x^{2} \Psi\left(x^{3}\right) d x\right]+c$
(b) $\frac{1}{3} x^{3} \psi\left(x^{3}\right)-3 \int x^{3} \psi\left(x^{3}\right) d x+c$
(c) $\frac{1}{3} x^{3} \psi\left(x^{3}\rig... | 1 |
Why does Europe have a voltage of 220V, Japan has 100V, and North America has 110V? Is 220V better, more dangerous, or more efficient? Why doesn't the world converge into a more unified voltage? | 0 |
15. The decay constant of a radioactive sample is $\lambda$. The half-life and the average-life of the sample are respectively
(a) $1 / \lambda$ and $(\ln 2 / \lambda)$
(b) $(\ln 2 / \lambda)$ and $1 / \lambda$
(c) $\lambda(\ln 2)$ and $1 / \lambda$
(d) $\lambda /(\ln 2)$ and $1 / \lambda$. | 1 |
Does the first The Lord of the Rings movie follow the book? | 0 |
7. The intensity produced by a long cylindrical light source at a small distance $r$ from the source is proportional to
(a) $\frac{1}{r^{2}}$
(b) $\frac{1}{r^{3}}$
(c) $\frac{1}{r}$
(d) none of these. | 1 |
2. The equation of a wave is given by $Y=5 \sin 10 \pi(t-0.01 x)$ along the $x$-axis. (All the quantities are expressed in SI units). The phase difference between the points separated by a distance of $10 \mathrm{~m}$ along $x$-axis is
(a) $\frac{\pi}{2}$
(b) $\pi$
(c) $2 \pi$
(d) $\frac{\pi}{4}$ | 1 |
4. The increasing order of nitration of the following compounds is :
(a)
(a) (A) $<$ (B) $<$ (D) $<$ (C)
(b) (A) $<$ (B) $<$ (C) $<$ (D)
(c) (B) $<$ (A) $<$ (C) $<$ (D)
(d) (B) $<$ (A) $<$ (D) $<$ (C) | 1 |
When did China outlaw opium trade? | 0 |
6. The mutual inductance between the coplanar circular loop of radius $R$ and square loop of side $L(L<<R)$ :
(a) $\frac{\mu_{0} L^{2}}{2 R}$
(b) $\frac{\mu_{0}}{2 R L^{2}}$
(c) $\frac{\mu_{0} L}{2 R}$
 | 1 |
73 SSm How much work is needed to accelerate a proton from a speed of $0.9850 c$ to a speed of $0.9860 c$ ? | 1 |
What is the best method of cost optimization of concrete structure? | 0 |
When did Savin WIlliams talk about the issues with these components? | 0 |
What characteristic of a compilation of witnesses is the most beneficial to a textual critic? | 0 |
How do you spend your time working as an engineer? | 0 |
21. If all the permutations of the letters in the word 'OBJECT' are arranged (and numbered seriaily) in alphabetical order as in a dictionary, then the $717^{\text {th }}$ word is
a. TOJECB
b. TOEJBC
c. TOCJEB
d. TOJCBE | 1 |
56. If $Z$ is compressibility factor, van der Waals equation at low pressure can be written as
(a) $\mathrm{Z}=1+\frac{R T}{p b}$
(b) $\mathrm{Z}=1-\frac{a}{V R T}$
(c) $Z=1-\frac{p b}{R T}$
(d) $\mathrm{Z}=1+\frac{p b}{R T}$
(IIT 2014 Main)
[Hint: Read Modern Approach to Physical Chemistry, Vol. I, Ch. 1.] | 1 |
3.41. A point electric dipole with a moment $p$ is placed in the external uniform electric field whose strength equals $\mathbf{E}_{0}$. with
p $\uparrow \uparrow \mathbf{E}_{0}$. In this case one of the equipotential surfaces enclosing the dipole forms a sphere. Find the radius of this sphere. | 1 |
12.27 Name a suitable technique of separation of the components from a mixture of calcium sulphate and camphor. | 1 |
What's your morning routine? | 0 |
What is the importance of culture in our life? | 0 |
Which country is Christmas Island governed by? | 0 |
In the United Kingdom, what is awarded to people who help fund the parties? | 0 |
Example 2.108 Consider an ellipse having its foci at $A\left(z_{1}\right)$ and $B\left(z_{2}\right)$ in the Argand plane. If the eccentricity of the ellipse be ' $e$ ' and it is known that origin is an interior point of the ellipse, then prove that
$$
\in\left(0, \frac{\left|z_{1}-z_{2}\right|}{\left|z_{1}\right|+\lef... | 1 |
Are hens/cows more oppressed than roosters/bulls when viewed using the lens of intersectional feminism? | 0 |
What are some useful websites for mechanical engineering students? | 0 |
13. Let $n$ be an odd integer. If $\sin n \theta=\sum_{r=0}^{n} b_{r} \sin ^{r} \theta$, for every value of $\theta$, then
(1998, 2M)
(a) $b_{0}=1, b_{1}=3$
(b) $b_{0}=0, b_{1}=n$
(c) $b_{0}=-1, b_{1}=n$
(d) $b_{0}=0, b_{1}=n^{2}-3 n+3$ | 1 |
Ex Machina (2015 movie): If you were in the same position as Caleb, what would you have done? | 0 |
Which Vedic text is the longest single poem on Earth? | 0 |
What are some crazy facts about Google? | 0 |
When did England colonize the Bahamas? | 0 |
What are the hottest startups in Ireland? | 0 |
The CCCS has since been associated with who? | 0 |
What is diagtrack what is diag track? | 0 |
Is there any news of a Nintendo 3DS emulator for PC? | 0 |
12.32 An organic compound contains $69 \%$ carbon and $4.8 \%$ hydrogen, the remainder being oxygen. Calculate the masses of carbon dioxide and water produced when 0.20 g of this substance is subjected to complete combustion. | 1 |
Which type of cells in the brain are generated throughout your lifetime? | 0 |
3. Let $\overrightarrow{\mathbf{a}}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \overrightarrow{\mathbf{b}}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}$ and a unit vector $\overrightarrow{\mathbf{c}}$ be coplanar. If $\overrightarrow{\mathbf{c}}$ is perpendicular to $\overrightarrow{\mathbf{a}}$, the... | 1 |
How does one get into an IIT? | 0 |
Secrets: What is that one secret that you can never share with anyone? | 0 |
How can I brush my dogs teeth? He keeps just licking the toothpaste and moves his head so he can get to the paste. | 0 |
Can you die from depression? | 0 |
70. The number of values of ' $a$ ' for which the lines
$2 x+y-1=0$,
$a x+3 y-3=0$, and
$3 x+2 y-2=0$
are concurrent is
a. 0
b. 1
c. 2
d. infinite | 1 |
In what year did ARC form? | 0 |
How did trump win the presidential election? | 0 |
6. A differential equation associated to the primitive $y=a+b e^{5 x}+c e^{-7 x}$ is (where $y_{n}$ is $n$th derivative w.r.t. $x$ )
a. $y_{3}+2 y_{2}-y_{1}=0$
b. $4 y_{3}+5 y_{2}-20 y_{1}=0$
c. $y_{3}+2 y_{2}-35 y_{1}=0$
d. None of these
where $y_{n}$ represents $n$th order derivative. | 1 |
Can I crack gate CS 2017 in 3 months? | 0 |
Of what was Magadha one of sixteen? | 0 |
How long must an admission office keep application materials? | 0 |
Example 10.14 Solve $x^{2} d y+y(x+y) d x=0$. | 1 |
When is the Raksha Bandhan festival? | 0 |
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