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78. Icicles. Liquid water coats an active (growing) icicle and extends up a short, narrow tube along the central axis (Fig. 18-55). Because the water-ice interface must have a temperature of $0^{\circ} \mathrm{C}$, the water in the tube cannot lose energy through the
 $e=\frac{1}{2} B L v$
(b) $e=B L v$
=\frac{\pi}{2}$ and $\left|\frac{z}{|z|}-z_{1}\right|=3$ then $\left|z_{1}\right|$ equals to
a. $\sqrt{26}$
b. $\sqrt{10}$
c. $\sqrt{3}$
d. $2 \sqrt{2}$ | 1 |
2. If the data $x_{1}, x_{2}, \ldots, x_{10}$ is such that the mean of first four of these is 11 , the mean of the remaining six is 16 and the sum of squares of all of these is 2000 , then the standard deviation of this data is
(a) $2 \sqrt{2}$
(b) 2
(c) 4
(d) $\sqrt{2}$ | 1 |
2. $\int \frac{e^{3 x}+e^{5 x}}{e^{x}+e^{-x}} d x$ | 1 |
What was the main purpose of education in this period? | 0 |
2. A neutral pendulum oscillates in a uniform electric field as shown in figure. If a positive charge is given to the pendulum, then its time period
(a) will increase
(b) will decrease
(c) ... | 1 |
How can I become a good husband? | 0 |
When did the reign of Edward III begin? | 0 |
Who did the Japanese form their military forces after? | 0 |
39. Complete and balance the following chemical reactions :
$$
\mathrm{Sn}+2 \mathrm{KOH}+4 \mathrm{H}_{2} \mathrm{O} \longrightarrow \ldots \ldots \ldots .+\ldots \ldots .
$$ | 1 |
What acts are included in communication between parties? | 0 |
Who are Cossacks? | 0 |
What is the benefit of using rice bran oil? | 0 |
Why are police lights red and/or blue? | 0 |
(iii) pentan-1-ol using a suitable alkyl halide? | 1 |
2. A square loop is carrying a steady current $I$ and the magnitude of its magnetic dipole moment is $m$. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop (in A-m) will be
(a) $\frac{4 m}{\pi}$
(b) $\frac{3 m}{\pi}$
(c) $\f... | 1 |
Is it legal to have a sloth in California? | 0 |
20. The probability that an event $A$ happens in one trial of an experiment, is 0.4 . Three independent trials of the experiments are performed. The probability that the event $A$ happens atleast once, is
$(1980,1 \mathrm{M})$
(a) 0.936
(b) 0.784
(c) 0.904
(d) None of these | 1 |
8. $\lim _{x \rightarrow 0} \frac{\sin [\cos x]}{1+[\cos x]}$, where [.] denotes the greatest integer function, is equal to
a. 1
b. 0
c. Does not exist
d. None of these | 1 |
(iii) $\mathrm{Mg}^{2+}$ | 1 |
17. $\int_{\pi / 4}^{3 \pi / 4} \frac{d x}{1+\cos x}$ is equal to
(a) -2
(b) 2
(c) 4
(d) -1 | 1 |
At what battle was the Emperor Valens killed? | 0 |
Despite the success, in what year did Date Records cease to exist? | 0 |
11. The one that is not a carbonate ore is: (a) malachite
(b) calamine
(c) siderite
(d) bauxite | 1 |
11. For $x>0, \lim _{x \rightarrow 0}(\sin x)^{1 / x}+\frac{1}{x}^{\sin x}$ is
(2006, 3M)
(a) 0
(b) -1
(c) 1
(d) 2 | 1 |
5. The osmotic pressure of a solution is given by the relation
(a) $p=\frac{R T}{c}$
(b) $p=\frac{c T}{R}$
(c) $p=\frac{R c}{T}$
(d) $\frac{p}{c}=R T$
(c is the concentration in moles/litre) | 1 |
34. How many iron atoms are present in a stainless steel ball bearing having a radius of 0.1 inch ( 1 inch $=2.54 \mathrm{~cm}$ )? The stainless steel contains $85.6 \%$ Fe by weight and has a density of $7.75 \mathrm{~g} / \mathrm{cc}$.
$$
\left(4.91 \times 10^{21}\right)
$$ | 1 |
What is a suitable inpatient drug and alcohol rehab center near Jackson County AL? | 0 |
By 1910, how many volumes of American reports were there? | 0 |
11
 | 1 |
How will Donald J Trump's presidency affect the opportunities offered to non US students? | 0 |
How did people abolish witch hunts if these were "traditions"and"cultural norms" in the past and"traditions and cultural norms"are considered a value? | 0 |
1. If the first and the $(2 n-1)^{n t}$ terms of an A.P., a G.P. and a H.P. are equal and their $n^{\text {th }}$ terms are $a, b$ and $c$ respectively, then
a. $a=b=c$
b. $a \geq b \geq c$
c. $a+b=b$
d. $a c-b^{2}=0$ | 1 |
- Example 3.24 To find index error (e) distance between object needle and pole of the concave mirror is $20 \mathrm{~cm}$. The separation between the indices of object needle and mirror was observed to be $20.2 \mathrm{~cm}$. In some observation, the observed image distance is $20.2 \mathrm{~cm}$ and the object distanc... | 1 |
If 204=8, 503=13, 305=11 and 907=25, what is 705? | 0 |
What are the safety precautions on handling shotguns proposed by the NRA in Utah? | 0 |
1. A vertical wire carries a current in upward direction. An electron beam sent horizontally towards the wire will be deflected
(a) towards right
(b) towards left
(c) upwards
(d) downwards. | 1 |
Does hinduism only believe in a single god? | 0 |
Will Modi become the Prime Minister of India once again in 2019? | 0 |
Could some endangered animals be settled in the uninhabited regions of Siberia to increase their population? | 0 |
53. $\mathrm{MnO}_{4}^{-}+\mathrm{SO}_{2}+\mathrm{H}_{2} \mathrm{O}=\mathrm{Mn}^{2+}+\mathrm{SO}_{4}^{2-}+\mathrm{H}^{+}$ | 1 |
59. If $I=\int e^{-x} \log \left(e^{x}+1\right) d x$, then $I$ equals
a. $x+\left(e^{-x}+1\right) \log \left(e^{x}+1\right)+C$
b. $x+\left(e^{x}+1\right) \log \left(e^{x}+1\right)+C$
c. $x-\left(e^{-x}+1\right) \log \left(e^{x}+1\right)+C$
d. None of these | 1 |
Where does R come from as an abbreviation of functional groups in organic chemistry? | 0 |
6. The integral $\int \frac{3 x^{13}+2 x^{11}}{\left(2 x^{4}+3 x^{2}+1\right)^{4}} d x$ is equal to (where $C$ is a constant of integration)
(a)
$\frac{x^{4}}{6\left(2 x^{4}+3 x^{2}+1\right)^{3}}+C$
(b) $\frac{x^{12}}{6\left(2 x^{4}+3 x^{2}+1\right)^{3}}+C$
(c) $\frac{x^{4}}{\left(2 x^{4}+3 x^{2}+1\right)^{3}}+C$
(d)... | 1 |
7. Two fixed identical metallic spheres $A$ and $B$ of radius $R=50 \mathrm{~cm}$ each are placed on a non-conducting plane at a very large distance from each other and
they are connected by... | 1 |
(a) Find the displacement of
the particle in the last 1 second. | 1 |
In what year did Sony shut down their offices in the Philippines? | 0 |
How do I can hack wifi? | 0 |
9. Let $\vec{a}$ and $\vec{b}$ be two non-zero perpendicular vectors. A vector $\vec{r}$ satisfying the equation $\vec{r} \times \vec{b}=\dot{\vec{a}}$. can be
a. $\vec{b}-\frac{\vec{a} \times \vec{b}}{|\vec{b}|^{2}}$
b. $2 \vec{b}-\frac{\vec{a} \times \vec{b}}{|\vec{b}|^{2}}$
c. $|\vec{a}| \vec{b}-\frac{\vec{a} \times... | 1 |
5. A listener is at rest with respect to the source of sound. A wind starts blowing along the line joining the source and the observer. Which of the following quantities do not change?
(a) Frequency
(c) Wavelength
(b) Velocity of sound
(d) Time period | 1 |
22. The ratio of the value of any colligative property for KCl solution to that for sugar solution is nearly
(a) 1.0
(b) 0.5
(c) 2.0
(d) 2.5 | 1 |
What are some less popular but good street food spots in Chennai? | 0 |
6. The number of water molecules(s) not coordinated to copper ion directly in $\mathrm{CuSO}_{4} \cdot 5 \mathrm{H}_{2} \mathrm{O}$, is:
(a) 2
(b) 3
(c) 1
(d) 4 | 1 |
4. The equation of a tangent to the hyperbola $4 x^{2}-5 y^{2}=20$ parallel to the line $x-y=2$ is
(a) $x-y-3=0$
(b) $x-y+9=0$
(c) $x-y+1=0$
(d) $x-y+7=0$ | 1 |
What are the best sites to watch TV shows? | 0 |
Can I be an employee of two organizations at the same time? | 0 |
What are the things you regret not doing? | 0 |
53. The total number of solutions of $\cos x=\sqrt{1-\sin 2 x}$ in $[0,2 \pi]$ is equal to
a. 2
b. 3
c. 5
d none of these | 1 |
21. In general, the properties that decrease and increase down a group in the periodic table, respectively, are:
(a) atomic radius and electronegativity.
(b) electron gain enthalpy and electronegativity.
(c) electronegativity and atomic radius. (d) electronegativity and electron gain enthalpy. | 1 |
(v)
 | 1 |
9. $\cos (\alpha-\beta)=1$ and $\cos (\alpha+\beta)=1 / e$ where $\alpha, \beta \in[-\pi, \pi]$. Pairs of $\alpha, \beta$ which satisfy both the equations is/are
a. 0
b 1
c. 2
d. 4 | 1 |
When was the first usage of the word Rajasthan? | 0 |
What is difference between wire and cable? | 0 |
3. An insulating thin rod of length $l$ has a linear charge density $\rho(x)=\rho_{0} \frac{x}{l}$ on it. The rod is rotated about an axis passing through the origin $(x=0)$ and perpendicular to the rod. If the rod makes $n$ rotations per second, then the time averaged magnetic moment of the rod is
(a) $n \rho l^{3}$... | 1 |
What is the period between 1600-1868 referred to as? | 0 |
32. A ray of light is incident at an angle of incidence $\theta$ as shown in figure. If the angle between the two plane mirror is $90^{\circ}$, then for what value of $\theta$, the reflected ray from the 2 nd plane mirror becomes parallel to the incident ray?
(a) $30^{\circ}$
(b) $45^{\circ}$
(c) $60^{\circ}$
(d) All o... | 1 |
The milieu interieur term was used by what physiologist? | 0 |
8. As one considers orbits with higher values of $n$ in a hydrogen atom, the electric potential energy of the atom
(a) decreases
(b) increases
(c) remains the same
(d) does not increase. | 1 |
Are mostly Irish people blond? | 0 |
What are the causes of loss of soil fertility? | 0 |
What are some ways to search on eBay by seller? | 0 |
41. If $\vec{r}$ and $\vec{s}$ are non-zero constant vectors and the scalar $b$ is chosen such that $|\vec{r}+b \vec{s}|$ is minimum, then the value of $|b \vec{s}|^{2}+|\vec{r}+b \vec{s}|^{2}$ is equal to
a. $2|\vec{r}|^{2}$
b. $|\vec{r}|^{2} / 2$
c. $3|\vec{r}|^{2}$
d. $|\vec{r}|^{2}$ | 1 |
What was the age of Enlightenment centered on? | 0 |
9. Which of the following polymer is a polyamide ?
[Main Online April 23, 2013]
(a) Terylene
(b) Nylon
(b) Rubber
(d) Vulcanised rubber | 1 |
How do I start an advertising company? | 0 |
Who was the first writer to date the Middle Ages from 476? | 0 |
15. The equations of tangents to the circle $x^{2}+y^{2}-6 x-6 y$ $+9=0$ drawn from the origin are
a. $x=0$
b. $x=y$
c. $y=0$
d. $x+y=0$ | 1 |
According to Bastian, what did he believe all human societies shared? | 0 |
How do you delete a Bandsintown account? | 0 |
Where should I make my own country? | 0 |
7. On heating compound (A) gives a gas (B) which is a constituent of air. This gas when treated with $\mathrm{H}_{2}$ in the presence of a catalyst gives another gas (C) which is basic in nature. (A) should not be :
(a) $\mathrm{NaN}_{3}$
(b) $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}$
(c) $\left(\mathrm{NH}_{4}... | 1 |
What can I do to get over my husband leaving me for another woman? | 0 |
I'm 17, going on 18. I want to become a successful entrepreneur. How do I approach this dream? | 0 |
5. The parameter, on which the value of the determinant
$$
\left|\begin{array}{ccc}
1 & a & a^{2} \\
\cos (p-d) x & \cos p x & \cos (p+d) x \\
\sin (p-d) x & \sin p x & \sin (p+d) x
\end{array}\right| \text { does not depend, is }
$$
Abstract
a. $a$ b. $p$ c. $d$ d. $x$
(IIT-JEE, 1997) | 1 |
What is the best reason to re-elect Barack Obama? | 0 |
Why Minecraft (video game) game is so famous? | 0 |
5. The electric field at the origin is along the positive
x-axis. A small circle is drawn with the centre at the
origin cutting the axes at points A, B, C and D having
coordinates (a, 0), (0, a), (− a, 0), (0, − a) respectively.
Out of the points on the periphery of the circle, the
potential is minimum at
(a) A (b) B (... | 1 |
4. The $K_{\mathrm{sp}}$ for the following dissociation is $1.6 \times 10^{-5}$
$$
\mathrm{PbCl}_{2}(\mathrm{~s}) \rightleftharpoons \mathrm{Pb}^{2+}(a q)+2 \mathrm{Cl}^{-}(a q)
$$
Which of the following choices is correct for a mixture of $300 \mathrm{~mL} 0.134 \mathrm{M}$ $\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{... | 1 |
Why is Dragon Ball Z the best? | 0 |
What is it called when friends are favored over other people? | 0 |
What did Renaissance Humanism emphasize? | 0 |
9. The minimum quantity in grams of $\mathrm{H}_{2} \mathrm{~S}$ needed to precipitate 63.5 g of $\mathrm{Cu}^{2+}$ will be nearly
(a) 63.5 g
(b) 31.75 g
(c) 34 g
(d) 20 g | 1 |
2. A moving coil galvanometer has a coil with 175 turns and area $1 \mathrm{~cm}^{2}$. It uses a torsion band of torsion constant
$10^{-6} \mathrm{~N}-\mathrm{m} / \mathrm{rad}$. The coil is placed in a magnetic field $B$ parallel to its plane. The coil deflects by $1^{\circ}$ for a current of $1 \mathrm{~mA}$. The va... | 1 |
6. Suppose all the surfaces in the previous problem are rough. The direction of friction on $B$ due to $A$
(a) is upward
(b) is downward
(d) depends on the masses of $A$ and $B$.
(c) is zero | 1 |
What is Laura Steele's biography? | 0 |
How do I find my question and answer request? | 0 |
25. How many real tangents can be drawn
from the point $(4,3)$ to the hyperbola $\frac{x^{2}}{16}-\frac{y^{2}}{9}=1$ ? Find the equation of these tangents and angle between them. | 1 |
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