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Why is it impossible for vectors to have zero magnitude?
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2. In a galvanic cell (a) chemical reaction produces electrical energy (b) electrical energy produces chemical reaction (c) reduction occurs at anode (d) oxidation occurs at cathode
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(c)https://cdn.pureessence.tech/8ba49201-d14f-4a69-b427-396de0d89457.png.png
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\$\cdot\$44 Assume that the core of the Sun has one-eighth of the Sun's mass and is compressed within a sphere whose radius is one-fourth of the solar radius. Assume further that the composition of the core is $35 \%$ hydrogen by mass and that essentially all the Sun's energy is generated there. If the Sun continues to...
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14. Evaluate $\int_{-4}^{-5} e^{(x+5)^2} d x+3 \int_{1 / 3}^{2 / 3} e^{9\left(x-\frac{2}{3}\right)^2} d x$.
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What is difference between Interest rate and annual yield?
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What is the recommended book to learn python for beginner?
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What are the strongest majors in terms of job prospects and what are the weakest majors at Marshall University?
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How can someone change from being introvert to extrovert?
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What is the best godrej service center in Hyderabad?
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How good and valid is MBA in Biotechnology Management from IGNOU?
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If education mattered and Apple wants kids to learn coding, why are they not bringing Swift Playground to all devices?
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9.8 What do you understand by (i) electron-deficient, (ii) electron-precise, and (iii) electron-rich compounds of hydrogen? Provide justification with suitable examples.
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25. $Y$ and $Z$ are, respectively (A) $\mathrm{N}_{2} \mathrm{O}_{3}$ and $\mathrm{H}_{3} \mathrm{PO}_{4}$ (B) $\mathrm{N}_{2} \mathrm{O}_{5}$ and $\mathrm{HPO}_{3}$ (C) $\mathrm{N}_{2} \mathrm{O}_{4}$ and $\mathrm{HPO}_{3}$ (D) $\mathrm{N}_{2} \mathrm{O}_{4}$ and $\mathrm{H}_{3} \mathrm{PO}_{3}$
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How is BBC structured?
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How do concentric and eccentric contraction compare and contrast?
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What are the best Hollywood movies ever?
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A mammal's brain is how many times larger than a birds relative to body size?
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4. Three one-dimensional mechanical waves in an elastic medium is given as $$ y_{1}=3 A \sin (\omega t-k x), \quad y_{2}=A \sin (\omega t-k x+\pi) \text { and } \quad y_{3}=2 A \sin (\omega t+k x) $$ are superimposed with each other. The maximum displacement amplitude of the medium particle would be (a) $4 A$ (b) $3 ...
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35. If the function $f(x)=a x^{3}+b x^{2}+11 x-6$ satisfies conditions of Rolle's theorem in $[1,3]$ for $x=2+\frac{1}{\sqrt{3}}$, then value of $a$ and $b$, respectively, are a. $-3,2$ b. $2,-4$ c. 1,6 d None of these
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Why the jet sound more in day rather than in night?
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18. Suppose $a_{1}, a_{2}, \ldots$ are real numbers, with $a_{1} \neq 0$. If $a_{1}, a_{2}, a_{3}, \ldots$ are in A.P., then a. $A=\left[\begin{array}{lll}a_{1} & a_{2} & a_{3} \\ a_{4} & a_{5} & a_{6} \\ a_{5} & a_{6} & a_{7}\end{array}\right]$ is singular (where $i=\sqrt{-1}$ ) b. the system of equations $a_{1} x+a_...
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39. The sum of 20 terms of a series of which every even term is 2 times the term before it, and every odd term is 3 times the term before it, the first term being unity is a. $\left(\frac{2}{7}\right)\left(6^{10}-1\right)$ b. $\left(\frac{3}{7}\right)\left(6^{10}-1\right)$ c. $\left(\frac{3}{5}\right)\left(6^{10}-1\rig...
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21. The IUPAC name(s) of the following compound is (are) ![](https://dataprep-doubtsolver-pureessence.s3.amazonaws.com/712edb31-780b-4ebc-8245-a0b05362a17e) (a) 1-chloro-4-methylbenzene (b) 4-chlorotoluene (c) 4-methylchlorobenzene (d) 1-methyl-4-chlorobenzene
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21. The difference between the heats of reaction at constant pressure and constant volume for the reaction $2 \mathrm{C}_{6} \mathrm{H}_{6}(\mathrm{l})+15 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 12 \mathrm{CO}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$ at $25^{\circ} \mathrm{C}$ in kJ is (a) -7.43 (b) +3...
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14. A particle moving on $x$-axis has potential energy $U=2-20 x+5 x^{2}$ joule along $x$-axis. The particle is released at $x=-3$. The maximum value of $x$ will be ( $x$ is in metre) (a) $5 \mathrm{~m}$ (b) $3 \mathrm{~m}$ (c) $7 \mathrm{~m}$ (d) $8 \mathrm{~m}$
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Who will win in a fight between Green Lantern and (Star Trek) USS Starship Enterprise?
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5. What are the respective number of $\alpha$ and $\beta$-particles emitted in the following radioactive decay? $$ { }_{90}^{200} X \rightarrow{ }_{80}^{168} Y $$ (a) 6 and 8 (b) 6 and 6 (c) 8 and 8 (d) 8 and 6
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Sleep: What do professors think of students who fall asleep in class?
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Why couldn't the confederacy defend their ports?
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Is there a future for hydrogen powered vehicles?
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19. If $\cot (\alpha+\beta)=0$, then $\sin (\alpha+2 \beta)$ can be a. $-\sin \alpha$ b. $\sin \beta$ c. $\cos \alpha$ d. $\cos \beta$
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66. $P$ is a point $(a, b)$ in the first quadrant. If the two circles which pass through $P$ and touch both the co-ordinates axes cut at right angles, then a. $a^{2}-6 a b+b^{2}=0$ b. $a^{2}+2 a b-b^{2}=0$ c. $a^{2}-4 a b+b^{2}=0$ d. $a^{2}-8 a b+b^{2}=0$
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25. A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at $300 \mathrm{~K}$. The ratio of the average rotational kinetic energy per $\mathrm{O}_{2}$ molecule to per $\mathrm{N}_{2}$ molecule is (a) $1: 1$ (b) $1: 2$ (c) $2: 1$ (d) depends on the moment of inertia of the two molecules
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What are your views on banning 500 and 1000 rupee notes? How does it affect black money and is it really gonna work and expose all the black money?
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29. In the long form of the periodic table, the valence shell electronic configuration of $5 s^2 5 p^4$ corresponds to the element present in : (a) Group 16 and period 6 (b) Group 17 and period 6 (c) Group 16 and period 5 (d) Group 17 and period 5
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7. For the circuit shown in the figure, find the charge stored on capacitor in steady state. (a) $\frac{R C}{R+R_{0}} E$ (b) $\frac{R C}{R_{0}}\left(E-E_{0}\right)$ (c) zero (d) $\frac{R C}{R+R_{0}}\left(E-E_{0}\right)$ ![](https://cdn.mathpix.com/cropped/2024_06_12_88c1c8d683adf388794bg-324.jpg?height=254&width=3...
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36. What should be the velocity of an electron so that its momentum becomes equal to that of a photon of wavelength $5200 \AA$ Å? (a) $700 \mathrm{~m} / \mathrm{s}$ (b) $1000 \mathrm{~m} / \mathrm{s}$ (c) $1400 \mathrm{~m} / \mathrm{s}$ (d) $2800 \mathrm{~m} / \mathrm{s}$
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What hotel in Hyderabad would be safe for unmarried couples, without the harassment of police, hotel staff, and moral police?
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What is the worst feeling in a youngster's life?
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1.9 Write in about 1000 words a fiction piece based on your speculation on the science and technology of the twenty-second century.
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How much of the national economic output did the agricultural sector of Greece contribute in 2015?
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Which OS is better, Windows, Mac OS X, or Linux?
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What should you do to make a laptop with Windows 8.1 and 1GB of memory and a 1.2ghz dual core processor not be slow?
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When will Pakistani Punjab unite with Indian Punjab?
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Where can I buy best designer party wear sarees online at reasonable prices?
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36. For an ideal gas, consider only $p-V$ work in going from initial state $X$ to the final state $Z$. The final state $Z$ can be reached by either of the two paths shown in the figure. ![](https://cdn.mathpix.com/cropped/2024_11_12_b980223a160630c93b68g-486.jpg?height=239&width=313&top_left_y=281&top_left_x=492) (take...
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12. Mr. Verma $(50 \mathrm{~kg})$ and Mr. Mathur $(60 \mathrm{~kg})$ are sitting at the two extremes of a $4 \mathrm{~m}$ long boat $(40 \mathrm{~kg})$ standing still in water. To discuss a mechanics problem, they come to the middle of the boat. Neglecting friction with water, how far does the boat move on the water du...
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How does invalidating ₹500 and ₹1000 notes help us fight corruption and bring back black money?
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$\bullet 31$ ILW Earth's atmosphere is constantly bombarded by cosmic ray protons that originate somewhere in space. If the protons all passed through the atmosphere, each square meter of Earth's surface would intercept protons at the average rate of 1500 protons per second. What would be the electric current intercept...
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How competitive is the PHD psychology program in UC Santa Cruz?
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20. For the reaction: $\mathrm{H}_2(\mathrm{~g})+\mathrm{I}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})$, the equilibrium constant $K_p$ changes with (a) total pressure (b) catalyst (c) the amount of $\mathrm{H}_2$ and $\mathrm{I}_2$ present (d) temperature
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4. If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E ?
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19. A travelling wave is produced on a long horizontal string by vibrating an end up and down sinusoidally. The amplitude of vibration is $1.0 \mathrm{~cm}$ and the displacement becomes zero 200 times per second. The linear mass density of the string is $0.10 \mathrm{~kg} \mathrm{~m}^{-1}$ and it is kept under a tensio...
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Is it generally a good idea to mention any on-going interviews/offers that you may have to another company you are interviewing with?
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How can one make money starting a blog?
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22. The amplitude of a particle executing SHM about $O$ is $10 \mathrm{~cm}$. Then (a) when the $\mathrm{KE}$ is 0.64 times of its maximum $\mathrm{KE}$, its displacement is $6 \mathrm{~cm}$ from $O$ (b) its speed is half the maximum speed when its displacement is half the maximum displacement (c) Both (a) and (b) a...
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What three countries were ahead of Greece in 2011 with exports?
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5. If $x-r$ is a factor of the polynomial $f(x)=a_n x^n$, $+a_{n-1} x^{n-1}+\ldots+a_0$ repeated $m$ times $(1<m \leq n)$, then $r$ is a root of $f^{\prime}(x)=0$ repeated $m$ times. (1983, 1M)
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What is the best gift to give girlfriend on her marriage?
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Why do a lot of people write "then" instead of "than"?
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What did the British form in preparation to leaving India?
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What social class did many members of the regular clergy come from?
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What is a dragon?
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During an ejaculation a male produces 20 sperms, all 20 are female sperms.does all these produce same looking offspring if fertilized with same egg?
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71. $e^{|\sin x|}+e^{-|\sin x|}+4 a=0$ will have exactly four different solutions in $[0,2 \pi]$ if a. $a \in R$ h $a \in\left[-\frac{e}{4},-\frac{1}{4}\right]$ c. $a \in\left[\frac{-1-c^{2}}{4 e}, \infty\right]$ d. none of these
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What is a mole?
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Why does the U.S. initiate anti-Philippine propoganda in the world?
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What is the one-party system often compared with?
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In Britain, what was the most liked illustrated humor periodical?
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12. Butanenitrile may be prepared by heating : (a) Propyl alcohol with $\mathrm{KCN}$ (b) Butyl alcohol with $\mathrm{KCN}$ (c) Butyl chloride with $\mathrm{KCN}$ (d) Propyl chloride with $\mathrm{KCN}$
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What role should India, the largest democracy in the world, play to help the people of Hong Kong achieve independence from communist China?
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What are the most common languages spoken in New Delhi?
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30. The value of the definite integral $\int_{0}^{\pi / 2} \sqrt{\tan x} d x$ is a. $\sqrt{2} \pi$ b. $\frac{\pi}{\sqrt{2}}$ c. $2 \sqrt{2} \pi$ d. $\frac{\pi}{2 \sqrt{2}}$
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Is it possible to be less proficient/fluent in your native language than in your second or third language?
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6. A ship of mass $3 \times 10^{7} \mathrm{~kg}$ initially at rest, is pulled by a force of $5 \times 10^{4} \mathrm{~N}$ through a distance of $3 \mathrm{~m}$. Assuming that the resistance due to water is negligible, the speed of the ship is (a) $1.5 \mathrm{~m} / \mathrm{s}$ (b) $60 \mathrm{~m} / \mathrm{s}$ (c) $0.1...
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32. The range of the function $f(x)=|x-1|+|x-2|$, $-1 \leq x \leq 3$, is a. $[1,3]$ b. $[1,5]$ c. $[3,5]$ d. None of these
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5. An ideal battery of $4 \mathrm{~V}$ and resistance $R$ are connected in series in the primary circuit of a potentiometer of length $1 \mathrm{~m}$ and resistance $5 \Omega$. The value of $R$ to give a potential difference of $5 \mathrm{mV}$ across $10 \mathrm{~cm}$ of potentiometer wire is (2019 Main, 12 Jan I) (a)...
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Does every game of spider solitaire have the potential to be won?
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What are the best moments of your life?
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How should I decide my optional subject for IAS?
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xample 4 A particle is moving in $x-y$ plane. Its initial velocity and acceleration are $\mathbf{u}=(4 \hat{\mathbf{i}}+8 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}$ and $\mathbf{a}=(2 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}^{2}$. Find (a) the time when the particle will cross the $x$-axis. (b) $x...
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What was the profession of Lange?
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What is the future of Fannie Mae and Freddie Mac?
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18. Find the integral value of $n$ for which the $$ \lim _{x \rightarrow 0} \frac{\cos ^{2} x-\cos x-e^{x} \cos x+e^{x}-\frac{x^{3}}{2}}{x^{n}} \text { is a finite non-zero. } $$
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6. What is the IUPAC name for the following compound? ![](https://cdn.mathpix.com/cropped/2024_07_29_90dbbc6c1b947b050cb5g-118.jpg?top_left_x=772&top_left_y=1757&width=402&height=194) (A) 2-chloro-3-amino-4-oxobutanoic acid (B) 3-amino-2-chloro-4-oxobutanoic acid (C) 2-amino-3 -carboxy-3-chloropropanal (D) 2-amino-3-c...
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39. The greatest value of the function $f(x)=\frac{\sin 2 x}{\sin \left(x+\frac{\pi}{4}\right)}$ on the interval $\left(0, \frac{\pi}{2}\right)$ is b. $\sqrt{2}$ a. $\frac{1}{\sqrt{2}}$ d $-\sqrt{2}$
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Which is a better city to live, study and work in: Houston or Atlanta?
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Do we have freedom of speech?
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2. A current-carrying, straight wire is kept along the axis of a circular loop carrying a current. The straight wire (a) will exert an inward force on the circular loop (b) will exert an outward force on the circular loop (c) will not exert any force on the circular loop (d) will exert a force on the circular loop ...
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7. A current passes through a resistor. Let $K_{1}$ and $K_{2}$ represent the average kinetic energy of the conduction electrons and the metal ions respectively. (a) $K_{1}<K_{2}$ (b) $K_{1}=K_{2}$ (c) $K_{1}>K_{2}$ (d) Any of these three may occur.
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Why did Steve Jobs drop out of college?
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15. When two identical batteries of internal resistance $1 \Omega$ each are connected in series across a resistor $R$, the rate of heat produced in $R$ is $J_{1}$. When the same batteries are connected in parallel across $R$, the rate is $J_{2}$. If $J_{1}=2.25 J_{2}$ then the value of $R$ in $\Omega$ is
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3. Assertion : A spring block system is kept over a smooth surface as shown in figure. If a constant horizontal force $F$ is applied on the block it will start oscillating simple harmonically. ![](https://cdn.mathpix.com/cropped/2024_06_07_71411c50f2a5b87590d2g-358.jpg?height=125&width=320&top_left_y=1312&top_left_x=8...
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Protestantism differs from Humanism in its focus is on what?
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Who is Satan?
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5. An infinite line charge of uniform electric charge density $\lambda$ lies along the axis of an electrically conducting infinite cylindrical shell of radius $R$. At time $t=0$, the space inside the cylinder is filled with a material of permittivity $\varepsilon$ and electrical conductivity $\sigma$. The electrical co...
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19. The parameter on which the value of the determinant $\begin{array}{ccc}1 & a & a^{2} \\ \cos (p-d) x & \cos p x & \cos (p+d) x\end{array}$ $\sin (p-d) x \quad \sin p x \quad \sin (p+d) x$ does not depend upon, is (a) $a$ (b) $p$ (c) $d$ (d) $x$ (1997, 2M)
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How do I make $2000 a week?
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My company has developed 2 energy software platforms. We are seeking $1MM in funding to expand. What are pros/cons of working 1 vs multiple investors?
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