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2.215. A piece of copper of mass $m=90 \mathrm{~g}$ at a temperature $t_{1}=$ $=90^{\circ} \mathrm{C}$ was placed in a calorimeter in which ice of mass $50 \mathrm{~g}$ was at a temperature $-3{ }^{\circ} \mathrm{C}$. Find the entropy increment of the piece of copper by the moment the thermal equilibrium is reached. | 1 |
35. If $\left|\begin{array}{lll}x & 3 & 6 \\ 3 & 6 & x \\ 6 & x & 3\end{array}\right|=\left|\begin{array}{lll}2 & x & 7 \\ x & 7 & 2 \\ 7 & 2 & x\end{array}\right|=\left|\begin{array}{lll}4 & 5 & x \\ 5 & x & 4 \\ x & 4 & 5\end{array}\right|=0$, then ' $x$ ' is equal to
a. 0
b. -9
c. 3
d. none of these | 1 |
In what year was ARC bought? | 0 |
8. If $f(x)=\frac{2-x \cos x}{2+x \cos x}$ and $g(x)=\log _{e} x,(x>0)$ then the value of the integral $\int_{-\pi / 4}^{\pi / 4} g(f(x)) d x$ is
(a) $\log _{e} 3$
(b) $\log _{e} e$
(c) $\log _{e} 2$
(d) $\log _{e} 1$ | 1 |
Between what centuries was the Tripartite struggle focused on Kannauj? | 0 |
3. Find the ratio of the linear momenta of two particles of masses $1.0 \mathrm{~kg}$ and $4.0 \mathrm{~kg}$ if their kinetic energies are equal. | 1 |
How can I auto-sync folder(s) on my Mac to Google Drive? Say, I have all pics in "Photos" folder in my laptop and I want auto-backup of it in cloud. | 0 |
What is one regional UN office located in New Delhi? | 0 |
I am no longer my professors student. I asked her if I could visit her. She never replied to my email. Should I email her again? What should I write | 0 |
THE SCN receives information from the optic nerves through what? | 0 |
17. A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air column is the second resonance. Then,
... | 1 |
Who is the best hockey player of all time? | 0 |
6. In a molecule of pyrophosphoric acid, the number of $\mathrm{P}-\mathrm{OH}, \mathrm{P}=\mathrm{O}$ and $\mathrm{P}-\mathrm{O}-\mathrm{P}$ bonds/ moiety(ies) respectively are :
(a) 2,4 and 1
(b) 3,3 and 3
(c) 4,2 and 0
(d) 4,2 and 1 | 1 |
What are some of the most important lessons you have learnt in 2016? | 0 |
What's the best way to learn PHP? | 0 |
6. How many litres of detonating gas will be produced at NTP in the decomposition of 0.1 mole of water by an electric current?
(3.36 litres) | 1 |
Why do all of my questions on Quora need improvement? | 0 |
50. Angle between the tangents to the curve $y=x^{2}-5 x+6$ at the points $(2,0)$ and $(3,0)$ is
a. $\frac{\pi}{2}$
b. $\frac{\pi}{3}$
c. $\frac{\pi}{6}$
d. $\frac{\pi}{4}$ | 1 |
(ii) a bright green solution with aqueous potassium chloride. Explain these experimental results. | 1 |
19. If an object is placed at $A(O A>f)$; where $f$ is the focal length of the lens, the image is formed at $B$. A perpendicular is erected at $O$ and $C$ is chosen on it such that the angle $\angle B C A$ is a right angle. Then, the value of $f$ will be
 $\mathrm{NaF} / \mathrm{Cu}$
(b) $\mathrm{Cu}_{2} \mathrm{O} / \mathrm{H}_{2} \mathrm{O}$
(c) Only heat
(d) $\mathrm{NaNO}_{2} / \m... | 1 |
What is your review of Learnvest? | 0 |
Example 8.14 The matrix $R(t)$ is defined by $R(t)=\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]$. Show that $R(s) R(t)=R(s+t)$. | 1 |
Has the success of Donna Tartt's "The Secret History" increased the number of students who enroll in classics courses? | 0 |
What enables an organism to differentiate between self and other? | 0 |
32. The presence of polar bonds in a poly-atomic molecule suggests that the molecule has non-zero dipole moment. | 1 |
9. A Young’s double slit experiment is performed with
white light.
(a) The central fringe will be white.
(b) There will not be a completely dark fringe.
(c) The fringe next to the central will be red.
(d) The fringe next to the central will be violet. | 1 |
30. In the compound given below, the correct order of the acidity of the
positions $\mathrm{X}, \mathrm{Y}$ and $\mathrm{Z}$ is
(a) $\mathrm{Z}>\mathrm{X}>\mathrm{Y}$
(b) $X>Y>Z$
(c) ... | 1 |
74. Evaluate the definite integral
$$
\int_{-1 / \sqrt{3}}^{1 / \sqrt{3}} \frac{x^{4}}{1-x^{4}} \cos ^{-1} \frac{2 x}{1+x^{2}} d x
$$ | 1 |
5. Statement 1: $\lim _{x \rightarrow-}\left(\frac{1^2}{x^3}+\frac{2^2}{x^3}+\frac{3^2}{x^3}+\cdots+\frac{x^2}{x^3}\right)$
$=\lim _{x \rightarrow \infty} \frac{1^2}{x^3}+\lim _{x \rightarrow \infty} \frac{2^2}{x^3}+\cdots+\lim _{x \rightarrow \infty} \frac{x^2}{x^3}=0$
Statement 2: $\lim _{x \rightarrow a}\left(f_1(x)... | 1 |
What are the 2 main germ systems in the Ctenophora and the Cnidaria called? | 0 |
9. Velocity of sound in air is $332 \mathrm{~m} \mathrm{~s}^{-1}$. Its velocity in vacuum will be
(a) $>332 \mathrm{~m} \mathrm{~s}^{-1}$
(b) $=332 \mathrm{~m} \mathrm{~s}^{-1}$
(c) $<332 \mathrm{~m} \mathrm{~s}^{-1}$
(d) meaningless. | 1 |
Are the Mahayana Buddhist sutras originally from the Buddha and if so why are they written in a different style than Theravada Sutras? | 0 |
36. A proton is projected with a velocity of $3 \times 10^{6} \mathrm{~m} \mathrm{~s}^{-1}$ perpendicular to a uniform magnetic field of $0.6 \mathrm{~T}$. Find the acceleration of the proton. | 1 |
9. A copper wire is stretched to make it $0.5 \%$ longer. The percentage change in its electrical resistance, if its volume remains unchanged is
(a) $2.0 \%$
(b) $1.0 \%$
(c) $0.5 \%$
(d) $2.5 \%$ | 1 |
What are some tips on making it through the job interview process at Bank of Hawaii? | 0 |
9. Co-ordinates of the centre of a circle, whose radius is 2 unit and which touches the line pair $x^{2}-y^{2}-2 x+1=0$, are
a. $(4,0)$
b. $(1+2 \sqrt{2}, 0)$
c. $(4,1)$
d. $(1,2 \sqrt{2})$ | 1 |
Who wrote "Childe Harold's Pilgrimage: Canto I"? | 0 |
Which chimney is better for indian style cooking: straight line chimney or hooded chimney? | 0 |
10. Which of the following is a polyamide?
(a) Teflon
(b) Orlon
(c) Nylon
(d) Terylene | 1 |
(a) | 1 |
How do I target NRI clients through Facebook? | 0 |
If you had to absolutely pick, would you be a cow or a chicken? | 0 |
90. Let $\mathrm{P}$ be point on the circle $x^{2}+y^{2}=9, Q$ a point on the line $7 x+y+3=0$, and the perpendicular bisector of $P Q$ be the line $x-y+1=0$. Then the coordinate of $P$ are
a. $(0,-3)$
b. $(0,3)$
c. $\left(\frac{72}{25},-\frac{21}{25}\right)$
d. $\left(-\frac{72}{25}, \frac{21}{25}\right)$ | 1 |
How do I earn money by blogging in India? | 0 |
Who would win in a fight, a lion or a gorilla? | 0 |
Who is most famous person who ever lived? | 0 |
What is an atomic number? What are examples of this? | 0 |
In what style is Kalamkari made? | 0 |
4. Let $A_{1}, A_{2}, A_{3}, A_{4}$ be the areas of the triangular faces of a tetrahedron, and $h_{1}, h_{2}, h_{3}, h_{4}$ be the corresponding altitudes of the tetrahedron. If the volume of tetrahedron is $1 / 6$ cubic units, then find the minimum value of $\left(A_{1}+A_{2}+A_{3}+A_{4}\right)\left(h_{1}+h_{2}+h_{3}+... | 1 |
How can a middle school student make friends at other middle schools? | 0 |
44. If $f(x)=\left(x^{2}-4\right)\left|x^{3}-6 x^{2}+11 x-6\right|+\frac{x}{1+|x|}$, then the set of points at which the function $f(x)$ is not differentiable is
a. $\{-2,2,1,3\}$
b. $\{-2,0,3\}$
c. $\{-2,2,0\}$
d. $\{1,3\}$ | 1 |
19. The integral $\int_{2}^{4} \frac{\log x^{2}}{\log x^{2}+\log \left(36-12 x+x^{2}\right)} d x$ is equal to
(a) 2
(b) 4
(c) 1
(d) 6
(2015, Main) | 1 |
27. Vector $\overline{A D}$ is
a. $\frac{1}{3} \vec{a}+\frac{\bar{a} \times(\vec{b}-\vec{c})}{|\vec{a}|^{2}}$
b. $\frac{1}{3} \bar{a}+\frac{\vec{a} \times(\bar{b}-\bar{c})}{|\vec{a}|^{2}}+\frac{3(\bar{b} \times \bar{a})}{|\vec{a}|^{2}}$
c. $\frac{1}{3} \bar{a}+\frac{\vec{a} \times(\bar{b}-\bar{c})}{|\vec{a}|^{2}}-\frac... | 1 |
How do I keep my preschooler out of her baby brother's crib? | 0 |
17. In $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$, the bond that undergoes heterolytic cleavage most readily is (a) $\mathrm{C}-\mathrm{C}$
(b) $\mathrm{C}-\mathrm{O}$
(c) $\mathrm{C}-\mathrm{H}$
(d) $\mathrm{O}-\mathrm{H}$ | 1 |
How many million Indians pay income tax? | 0 |
6. The refractive index of water is $4 / 3$. The speed of light in water is
(a) $1.50 \times 10^{8} \mathrm{~m} / \mathrm{s}$
(b) $1.78 \times 10^{8} \mathrm{~m} / \mathrm{s}$
(c) $2.25 \times 10^{8} \mathrm{~m} / \mathrm{s}$
(d) $2.67 \times 10^{8} \mathrm{~m} / \mathrm{s}$ | 1 |
My cousin is strong, 5 ft 4, and flexible since she is a dancer. However she is 30 pounds above her normal weight. What are the best workouts for her? | 0 |
13. If $[x+0.19]+[x+0.20]+[x+0.21]+\ldots+[x+0.91]=542$ then
(a) $[10 \mathrm{x}]=73$
(b) $[100 \mathrm{x}]=739$
(c) $[10 x+0.4]=74$
(d) $[100 x+0.1]=740$ | 1 |
I use an HTC One with Android version 4.4.3. How can I find all the apps that are currently running and close some of them? | 0 |
13. The IUPAC name of the following compound is
(a) 4-Bromo-3-cyanophenol
(b) 2-Bromo-5-hydroxybenzonitrile
(c) 2- Cyano-4-hydroxybromobenzene
(d) 6-Bromo-3-hydroxybenzonitrile | 1 |
Which is the best bicycle within a budget of 10k - 15k? | 0 |
What is this cultural movement called that involves a shift in gender relations mainly involving women? | 0 |
29. Calculate the cell potential for the following galvanic cell:
The first electrode consists of $\mathrm{Fe}^{3+} \mid \mathrm{Fe}^{2+}$ couple in which $\left[\mathrm{Fe}^{3+}\right]=1 \mathrm{M}$ and $\left[\mathrm{Fe}^{2+}\right]=[0.1 \mathrm{M}]$
The second electrode consists of $\mathrm{MnO}_{4}^{-} \mid \mathr... | 1 |
5. The solution of the primitive integral equation $\left(x^{2}+y^{2}\right) d y$
$=x y d x$ is $y=y(x)$. If $y(1)=1$ and $y\left(x_{0}\right)=e$, then $x_{0}$ is
a. $\sqrt{2\left(e^{2}-1\right)}$
b. $\sqrt{2\left(e^{2}+1\right)}$
c. $\sqrt{3} e$
d. $\sqrt{\frac{e^{2}+1}{2}}$ | 1 |
44. The solution of the differential equation $x^{2} \frac{d y}{d x} \cos \frac{1}{x}-y \sin \frac{1}{x}=-1$, where $y \rightarrow-1$ as $x \rightarrow \infty$ is
$\begin{array}{ll}\text { a. } y=\sin \frac{1}{x}-\cos \frac{1}{x} & \text { b. } y=\frac{x+1}{x \sin \frac{1}{x}}\end{array}$
c. $y=\cos \frac{1}{x}+\sin \... | 1 |
6. Consider a uniform spherical charge distribution of radius $R_{1}$ centred at the origin $O$. In this distribution, a spherical cavity of radius $R_{2}$, centred at $P$ with distance $O P=a=R_{1}-R_{2}$ (see figure) is made. If the electric field inside the cavity at position $\mathbf{r}$ is $\mathbf{E}(\mathbf{r})$... | 1 |
What should one learn to be a data scientist? | 0 |
(iii)
 | 1 |
12 An ice cube is suspended in vacuum in a gravity free hall. As the ice melts it
(a) will retain its cubical shape
(b) will change its shape to spherical
(c) will fall down on the floor of the hall
(d) will fly up. | 1 |
25. IUPAC name of Benzyl alcohol is :
(A) Phenol
(B) Hydroxymethyl Benzene
(C) Benzenol
(D) 1-Phenyl methanol | 1 |
Were you ever spanked on your underpants or bare bottom as a kid? | 0 |
Who is Sandeep Maheshwari? | 0 |
What are some good books which a new Indian Lawyer must read? | 0 |
Ex. 38. Consider the hydrogen atom to be a proton embedded in a cavity of radius $a_{0}$ (Bohr radius) whose charge is neutralised by the addition of an electron to the cavity in vacuum, infinitely slowly. Estimate the average total energy of an electron in its ground state in a hydrogen atom as the work done in the ab... | 1 |
What did Irokawa Daikichi act out against? | 0 |
Why is sex important in a good relationship? | 0 |
8. In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation $V T=k$, where $k$ is a constant. In this process, the temperature of the gas is increased by $\Delta T$. The amount of heat absorbed by gas is (where, $R$ is gas constant)
(a) $\frac{1}{2} k R \Delta T... | 1 |
79. A sphere of constant radius $2 k$ passes through the origin and meets the axes in $A, B$ and $C$. The locus of a centroid of the tetrahedron $O A B C$ is
a. $x^{2}+y^{2}+z^{2}=4 k^{2}$
b. $x^{2}+y^{2}+z^{2}=k^{2}$
c. $2\left(k^{2}+y^{2}+z\right)^{2}=k^{2}$
d. none of these | 1 |
What is an ARN number and how to track my transaction with that number? | 0 |
Along with anger, disgust, happiness, sadness and fear, what is one of Ekman's basic emotions? | 0 |
How can I make a chicken smoothie? | 0 |
3. A particle moves on a straight line with a uniform velocity. Its angular momentum (a) is always zero (b) is zero about a point on the straight line (c) is not zero about a point away from the straight line (d) about any given point remains constant. | 1 |
85. A solid sphere is set into motion on a rough horizontal surface with a linear speed $v$ in the forward direction and an angular speed $v / R$ in the anticlockwise direction as shown in figure (10-E16). Find the linear speed of the sphere (a) when it stops rotating and (b) when slipping finally ceases and pure rolli... | 1 |
During what time period did secular have a more neutral connotation? | 0 |
5. The synonym for water gas when used in the production of methanol is
(a) natural gas
(b) fuel gas
(c) laughing gas
(d) syn gas | 1 |
17. The reading of the ammeter for a silicon diode in the given circuit is
(a) $13.5 \mathrm{~mA}$
(b) 0
(c) $15 \mathrm{~mA}$
(d) $11.5 \mathrm{~mA}$ | 1 |
Which uprising occurred from 1946 to 1951? | 0 |
5. The pressure that has to be applied to the ends of a steel wire of length $10 \mathrm{~cm}$ to keep its length constant when its temperature is raised by $100^{\circ} \mathrm{C}$ is (For steel, Young's modulus is $2 \times 10^{11} \mathrm{Nm}^{-2}$ and coefficient of thermal expansion is $1.1 \times 10^{-5} \mathrm{... | 1 |
32. Equilibrium constants $\left(K_p\right)$ for the reaction $\frac{3}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{~N}_2(\mathrm{~g}) \rightleftharpoons \mathrm{NH}_3(\mathrm{~g})$ are 0.0266 and 0.0129 at $350^{\circ} \mathrm{C}$ and $400^{\circ} \mathrm{C}$ respectively. Calculate the heat of formation of gaseo... | 1 |
What was the biggest and oldest political party in India? | 0 |
5. A plane electromagnetic wave propagating along $x$-direction can have the following pairs of $\mathbf{E}$ and $\mathbf{B}$
(a) $E_{x}, B_{y}$
(b) $E_{y}, B_{z}$
(c) $B_{x}, E_{y}$
(d) $E_{z}, B_{y}$ | 1 |
2. $\frac{d y}{d x}+(\sec x) y=\tan x\left(0 \leq x<\frac{\pi}{2}\right)$ | 1 |
18. In $\beta$-emission from a nucleus, the atomic number of the daughter element decreases by one. | 1 |
What are some techniques are there to understand new concepts faster? | 0 |
What organization is responsible for building and operating the Delhi Metro system? | 0 |
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