Question stringlengths 2 3k | label int64 0 1 |
|---|---|
How competitive is the hiring process at Store Capital? | 0 |
4.145. A capacitor with capacitance $C=1.0 \mu \mathrm{F}$ and a coil with active resistance $R=0.10 \Omega$ and inductance $L=1.0 \mathrm{mH}$ are connected in parallel to a source of sinusoidal voltage $V=31 \mathrm{~V}$. Find:
(a) the frequency $\omega$ at which the resonance sets in;
(b) the effective value of th... | 1 |
35. Distance of an object from the first focus of an equi-convex lens is $10 \mathrm{~cm}$ and the distance of its real image from second focus is $40 \mathrm{~cm}$. The focal length of the lens is
(a) $25 \mathrm{~cm}$
(b) $10 \mathrm{~cm}$
(c) $20 \mathrm{~cm}$
(d) $40 \mathrm{~cm}$ | 1 |
3. The area bounded by the curves $y=\sqrt{x}, 2 y+3=x$ and $x$-axis in the 1 st quadrant is
a. 9 sq. units
b. $27 / 4$ sq. units
c. 36 sq. units
d. 9 sq: units | 1 |
28. Find the current through the resistance $R$ in figure (45-E6) if (a) $R=12 \Omega$ (b) $R=48 \Omega$.
Figure 45 -E6 | 1 |
What matters at the end of the day, week, month, year and Life? | 0 |
49. $A B C$ is a variable triangle such that $A$ is $(1,2), B$ and $C$ lie on line $y=x+\lambda$ (where $\lambda$ is a variable), then locus of the orthocentre of triangle $A B C$ is
a. $(x-1)^{2}+y^{2}=4$
b. $x+y=3$
c. $2 x-y=0$
d. none of these | 1 |
1. A person of mass $M$ is sitting on a swing to length $L$ and swinging with an angular amplitude $\theta_{0}$. If the person stands up when the swing passes through its lowest point, the work done by him, assuming that his centre of mass moves by a distance $l(l \ll L)$, is close to
(a) $\operatorname{Mgl}\left(1-\... | 1 |
22. The time required for a current of 3 amp to decompose electrolytically 18 g of $\mathrm{H}_{2} \mathrm{O}$ is
(a) 18 hours
(b) 36 hours
(c) 9 hours
(d) 18 seconds | 1 |
How many countries possesses nuclear weapons? | 0 |
What is your review of www.buttermyresume.com? | 0 |
10. A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then, the long piece will have a force constant of
(1999, 2M)
(a) $\frac{2}{3} k$
(b) $\frac{3}{2} k$
(c) $3 k$
(d) $6 k$ | 1 |
19. If the coefficient of $x^{\prime \prime}$ in $(1+x)^{101}\left(1-x+x^{2}\right)^{1001}$ is non-zero, then $n$ cannot be of the form
a. $3 r+1$
b. $3 r$
c. $3 r+2$
d. none of these | 1 |
15. The net resistance of a voltmeter should be large to ensure that
(a) it does not get overheated
(b) it does not draw excessive current
(c) it can measure large potential differences
(d) it does not appreciably change the potential difference to be measured. | 1 |
3. The correct order of catenation is :
(a) $\mathrm{C}>\mathrm{Sn}>\mathrm{Si} \approx \mathrm{Ge}$
(b) $\mathrm{C}>\mathrm{Si}>\mathrm{Ge} \approx \mathrm{Sn}$
(c) $\mathrm{Si}>\mathrm{Sn}>\mathrm{C}>\mathrm{Ge}$
(d) $\mathrm{Ge}>\mathrm{Sn}>\mathrm{Si}>\mathrm{C}$ | 1 |
22. The relative density of a material is found by weighing the body first in air and then in water. If the weight in air is $(10.0 \pm 0.1) \mathrm{N}$ and weight in water is $(5.0 \pm 0.1)$, what would be the maximum percentage error in relative density? | 1 |
What group lead the Bengali Renaissance? | 0 |
(d) The climate of a harbour town is more temperate than that of a town in a desert at the same latitude. | 1 |
30 In Fig. 12-46, a 50.0 kg uniform square sign, of edge length $L=2.00 \mathrm{~m}$, is hung from a horizontal rod of length $d_h=3.00 \mathrm{~m}$ and negligible mass. A cable is attached to the end of the rod and to a point on the wall at distance dv ! 4.00 m above the point
where the rod is hinged to the wall. (a) ... | 1 |
3. Consider the following reduction processes:
$\mathrm{Zn}^{2+}+2 \mathrm{e}^{-} \square \mathrm{Zn}(\mathrm{s}) ; \mathrm{E}^{\circ}=-0.76 \mathrm{~V}$
$\mathrm{Ca}^{2+}+2 \mathrm{e}^{-} \square \mathrm{Ca}(\mathrm{s}) ; \mathrm{E}^{\circ}=-2.87 \mathrm{~V}$
$\mathrm{Mg}^{2+}+2 \mathrm{e}^{-} \square \mathrm{M... | 1 |
What have scientist began to test due to the fact that adrogen results in sexual differences? | 0 |
26. In the circuit shown in figure initially the switch is in position 1 for a long time, then suddenly at $t=0$, the switch is shifted to position 2 . It is required that a constant current should flow in the circuit, the value of resistance $R$ in the circuit
(a) should be decreased at a constant rate
(b) should be... | 1 |
21. The number of waves made by an electron moving in an orbit having maximum quantum number $(m)+3$ is
(a) 3
(b) 4
(c) 5
(d) 6
[Hint: $l=3$ and $n=4]$ | 1 |
Who has disagreed with this connotation of the word? | 0 |
5. $\int 1+x-\frac{1}{x} e^{x+\frac{1}{x}} d x$ is equal to
(a) $(x-1) e^{x+\frac{1}{x}}+c$
(b) $x e^{x+\frac{1}{x}}+c$
(c) $(x+1) e^{x+\frac{1}{x}}+c$
(d) $-x e^{x+\frac{1}{x}}+c$ | 1 |
3. A particle of mass $m=1 \mathrm{~kg}$ is lying at rest on $x$-axis, experiences a net force given by law $F=x(3 x-2)$ newton, where $x$ is the $x$-coordinate of the particle in meter. The magnitude of minimum velocity in negative $x$-direction to be imparted to the particle placed at $x=4$ meter such that it reaches... | 1 |
10. Assertion : When temperature of a conductor is increased, its resistance increases.
Reason : Free electrons collide more frequently. | 1 |
What is the way to hack WhatsApp? | 0 |
14. Aromatic properties of benzene are proved by :
(A) Aromatic sextet theory
(B) Resonance theory
(C) Molecular orbital theory
(D) All of these | 1 |
7. Let $a_{1}, a_{2}, \ldots . a_{30}$ be an AP, $S=\sum_{i=1}^{30} a_{i}$ and
$$
T=\sum_{i=1}^{15} a_{(2 i-1)} . \text { If } a_{5}=27 \text { and } S-2 T=75,
$$
then $a_{10}$ is equal to
(2019 Main, 9 Jan I)
(a) 42
(b) 57
(c) 52
(d) 47 | 1 |
23. A constant current of 1.50 amp is passed through an electrolytic cell containing 0.10 N solution of $\mathrm{AgNO}_{3}$ and a silver anode and a platinum cathode are used. After some time, the concentration of the $\mathrm{AgNO}_{3}$ solution may be
(a) equal to 0.10 M
(b) less than 0.10 M
(c) greater t... | 1 |
How do autotrophs and heterotrophs relate? | 0 |
60. The only CORRECT combination in which the reaction proceeds through radical mechanism is
(a) (III) (ii) (P)
(b) (IV) (i) (Q)
(c) (II) (iii) (R)
(d) $(\mathrm{I})(\mathrm{ii})(\mathrm{R})$ | 1 |
What color go with brown sofa? | 0 |
12. A rigid container with thermally insulated walls contains a coil of resistance $100 \Omega$, carrying current $1 \mathrm{~A}$. Change in internal energy after $5 \mathrm{~min}$ will be
(a) zero
(b) $10 \mathrm{~kJ}$
(c) $20 \mathrm{~kJ}$
(d) $30 \mathrm{~kJ}$ | 1 |
Who signed a treaty with the Maori? | 0 |
69. State the conditions under which the following preparation are carried out. Give the necessary equations which need not be balanced :
(i) Lead tetraethyl from sodium-lead alloy
(ii) Methyl chloride from aluminium carbide | 1 |
14. A plano-convex thin lens of focal length $10 \mathrm{~cm}$ is silvered at its plane surface. The distance $d$ at which an object must be kept in order to get its image on itself is
(a) $5 \mathrm{~cm}$
(b) $20 \mathrm{~cm}$
(c) $10 \mathrm{~cm}$
(d) $2.5 \mathrm{~cm}$
 268.7 K
(b) 268.5 K
(c) 234.2 K
(d) 150.9 K | 1 |
What classification of chemicals do dopamine, serotonin and noradrenaline belong to? | 0 |
How or where did you meet your spouse/partner? | 0 |
What is the purpose of Unacademy.in? | 0 |
Ex. 26. A sample of a mixture of $\mathrm{CaCl}_{2}$ and NaCl weighing 4.22 g was treated to precipitate all the Ca as $\mathrm{CaCO}_{3}$, which was then heated and quantitatively converted to 0.959 g of CaO . Calculate the percentage of $\mathrm{CaCl}_{2}$ in the mixture.
$$
(\mathrm{Ca}=40, \mathrm{O}=16, \mathrm{C... | 1 |
2. The incorrect statement is :
(a) Manganate and permanganate ions are tetrahedral
(b) In manganate and permanganate ions, the $\pi$-bonding takes place by overlap of $p$-orbitals of oxygen and $d$-orbitals of manganese
(c) Manganate and permanganate ions are paramagnetic
(d) Manganate ion is green in colour and ... | 1 |
4. For $a \in R$ (the set of all real numbers), $a \neq-1$, $\lim _{n \rightarrow \infty} \frac{\left(1^{a}+2^{a}+\ldots+n^{a}\right)}{(n+1)^{a-1}[(n a+1)+(n a+2)+\ldots+(n a+n)]}=\frac{1}{60}$. Then, $a$ is equal to
(a) 5
(b) 7
(c) $\frac{-15}{2}$
(d) $\frac{-17}{2}$ | 1 |
5. Length of chord $P Q$ is
(a) $7 a$
(b) $5 a$
(c) $2 a$
(d) $3 a$ | 1 |
- 46 In Fig. 25-46, how much charge is stored on the parallel-plate capacitors by the 12.0 V battery? One is filled with air, and the other is filled with a dielectric for which $\kappa=3.00$; both capacitors have a plate area of $5.00 \times 10^{-3} \mathrm{~m}^{2}$
![](https://cdn.mathpix.com/cropped/2024_07_23_724a... | 1 |
Is "looking for water" a non-restrictive clause in the sentence, "I'm in the desert, looking for water"? Should a comma go before "looking"? | 0 |
What is the Coriolis effect and what are its applications? | 0 |
What do you find sexy on your girlfriend? | 0 |
What is the mistletoe made of? How did it become so traditional for Christmas? | 0 |
What religion led to architectural changes in many Asian countries? | 0 |
37. In the circuit, a voltmeter reads $30 \mathrm{~V}$ when it is connected across $400 \Omega$ resistance. Calculate what the same voltmeter will read when it is connected across the $300 \Omega$ resistance?
The order of acidity is :
(a) III $>$ IV $>$ I $>$ II
(b) I $>$ IV $>$ III $>$ II
(c) II $>$ I $>$ III $>$ IV
(d) IV $>$ III $>$ I $>$ II | 1 |
12. Let $\alpha$ and $\beta$ be two roots of the equation $x^{2}+2 x+2=0$, then $\alpha^{15}+\beta^{15}$ is equal to
(2019 Main, 9 Jan I)
(a) 256
t(b) 512
(c) -256
(d) -512 | 1 |
Who did Sun Yet-Sen turn in 1930 for help? | 0 |
In vertebrates, the most important part of the brain is what? | 0 |
What is the difference between using Turbo C and GNU C/C++? | 0 |
What is the best business to start with an investment of 4 lakhs? | 0 |
3. An organic compound ' $A$ ' $\left(\mathrm{C}_{9} \mathrm{H}_{10} \mathrm{O}\right)$ when treated with conc. HI undergoes cleavage to yield compounds ' $\mathrm{B}$ ' and ' $\mathrm{C}$ '. ' $\mathrm{B}$ ' gives yellow precipitate with $\mathrm{AgNO}_{3}$ where as ' $\mathrm{C}$ ' tautomerizes to ' $\mathrm{D}$ '. '... | 1 |
The United Kingdom ruled what empire? | 0 |
10. A $\operatorname{rod} A B$ is shown in figure. End $A$ of the rod is fixed on the ground. Block is moving with velocity $2 \mathrm{~ms}^{-1}$ towards right. The velocity of end $B$ of rod at the instant shown in figure is
(a) $\sqrt{3} \mathrm{~ms}^{-1}$
(b) $2 \mathrm{~ms}^{-1}$
(c) $2 \sqrt{3} \mathrm{~ms}^{-1}$
... | 1 |
64. The IUPAC name of the compound $\mathrm{CH}_{2}{ }^{\mathrm{O}} \mathrm{CH}_{2}-\mathrm{CH}_{2} \mathrm{OH}$ is :
(A) 1, 2 - epoxy - 3 propanol
(B) 1, 2 - oxa - 3 - propanol
(C) 2, 3 - epoxy - 1 - propanol
(D) 2, 3 - epoxy allyl alcohol | 1 |
112. If $\cot ^{2} x=\cot (x-y) \cot (x-z)$, then $\cot 2 x$ is equal to (where $x \neq \pm \pi / 4$ )
a $\frac{1}{2}(\tan y+\tan z)$
b. $\frac{1}{2}(\cot y+\cot z)$
c. $\frac{1}{2}(\sin y+\sin z)$
d none of these | 1 |
8. Two bodies, each of mass $M$, are kept fixed with a separation $2 L$. A particle of mass $m$ is projected from the mid-point of the line joining their centres, perpendicular to the line. The gravitational constant is $G$. The correct statement(s) is (are)
(a) The minimum initial velocity of the mass $m$ to escape ... | 1 |
9. Chlorine water on standing loses its colour and forms :
(a) $\mathrm{HCl}$ only
(b) $\mathrm{HCl}$ and $\mathrm{HClO}_{2}$
(c) $\mathrm{HCl}$ and $\mathrm{HOCl}$
(d) $\mathrm{HOCl}$ and $\mathrm{HOCl}_{2}$ | 1 |
Where was the Telugu film industry ranked in 2012 in India in comparison to Bollywood? | 0 |
34. In Fig. 5-40, a crate of mass $m=100 \mathrm{~kg}$ is pushed at constant speed up a frictionless ramp $\left(\theta=30.0^{\circ}\right)$ by a horizontal force $\vec{F}$. What are the magnitudes of (a) $\vec{F}$ and (b) the force on the crate from the ramp? | 1 |
What should be the answer for my failure in my first ssb for nda na? | 0 |
When was the armistice signed between Russia and Central powers? | 0 |
What early adopter and developer of is associated with Confucianism? | 0 |
What are the best all natural remedies for dandruff? | 0 |
Which is a suitable inpatient drug and alcohol rehab center in Baxter County AR? | 0 |
Roman civil law was written and codified into a unified system by what group? | 0 |
How do I determine my socioeconomic class in Singapore? | 0 |
What can you get out of redeeming your JustFab reward points? | 0 |
3. Identify $(A)$ and $(B)$ in Newman's projection of 2, 3-dimethyl pentane
(B) $-\mathrm{H},-\mathrm{C}_{2} \mathrm{H}_{5}$
(C) $-\mathrm{C}_{2} \mathrm{H}_{5},-\mathrm{CH}_{3}$
(D) $-\mathrm{C}_{2} \mathrm{H}_{5},-\m... | 1 |
5. Water samples with BOD values of $4 \mathrm{ppm}$ and $18 \mathrm{ppm}$, respectively, are :
(a) Clean and Clean
(b) Highly polluted and Clean
(c) Clean and Highly polluted
(d) Highly polluted and Highly polluted | 1 |
14. Let $f(x)=[x]$ and $g(x)=\left\{\begin{array}{ll}0, & x \in Z \\ x^{2}, & x \in R-Z\end{array}\right.$ ([.] represents
$L_{1}$ greatest integer function). Then
a. $\lim _{x \rightarrow 1} g(x)$ exists but $g(x)$ is not continuous at $x=1$
b. $f(x)$ is not continuous at $x=1$. c. gof is continuous for all $x$.
d. $... | 1 |
Is Donald Trump the president USA deserves? | 0 |
What two groups spread knowledge of architecture in Europe? | 0 |
Example 8.59 Prove that $\int_0^1 \sqrt{(1+x)\left(1+x^3\right)} d x$ cannot exceed $\sqrt{15 / 8}$. | 1 |
What makes Indian students different from US students? | 0 |
2. A ray of monochromatic light is incident on the plane surface of separation between two media $x$ and $y$ with angle of incidence $i$ in the medium $x$ and angle of refraction $r$ in the medium $y$. The graph shows the relation between $\sin i$ and $\sin r$.
 $\mathrm{Zn}^{2+}, \mathrm{KCN}$ and $\mathrm{HCl}$
(b) $\mathrm{Ni}^{2+}, \mathrm{HCl}$ and $\mathrm{KCN}$
(c) $\mathrm{Cd}^{2+}, \mathrm{KCN}$ and $\mathrm{HCl}$
(d) $\mathrm{Co}^{2+}, \mathrm{HCl}$ and $\mathrm{KCN}$ | 1 |
What should I do to become a Top Writer on Quora in 2017? | 0 |
How can a girl become pregnant? | 0 |
2. A ball is thrown upward with an initial velocity $v_0$ from the surface of the earth. The motion of the ball is affected by a drag force equal to $m \gamma v^2$ (where, $m$ is mass of the ball, $v$ is its instantaneous velocity and $\gamma$ is a constant). Time taken by the ball to rise to its zenith is
(a) $\fra... | 1 |
Is it possible someone can see my computer files and/or history page (ctrl+h) story through a cellphone? If yes how can I find out? | 0 |
Who will be the next President of US? Why? | 0 |
(a) Write the two equations showing the products of the decays. | 1 |
The two main areas of the brain are what colors? | 0 |
17. The potential difference between two points in a wire $75.0 \mathrm{~cm}$ apart is $0.938 \mathrm{~V}$, when the current density is $4.40 \times 10^{7} \mathrm{~A} / \mathrm{m}^{2}$. What is
(a) the magnitude of $\mathbf{E}$ in the wire?
(b) the resistivity of the material of which the wire is made? | 1 |
How is cocoa butter beneficial for the face? | 0 |
4. The magnitude of electric field as a function of the distance $r$ inside the sphere is given by
(a) $E=\frac{\rho_{0}}{\varepsilon} \frac{r}{3}-\frac{r^{2}}{4 R}$
(b) $E=\frac{\rho_{0}}{\varepsilon} \frac{r}{4}-\frac{r^{2}}{3 R}$
(c) $E=\frac{\rho_{0}}{\varepsilon} \frac{r}{3}+\frac{r^{2}}{4 R}$
(d) $E=\frac{\rho_{0... | 1 |
What are some key differences between the Roman and Greek mythologies? | 0 |
6. The value of $a$, so that the volume of parallelopiped formed by $\hat{\mathbf{i}}+a \hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{j}}+a \hat{\mathbf{k}}$ and $a \hat{\mathbf{i}}+\hat{\mathbf{k}}$ become minimum, is
(a) -3
(b) 3
(c) $1 / \sqrt{3}$
(d) $\sqrt{3}$ | 1 |
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