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15. Calculate the uncertainty in the position of a particle when the uncertainty in the momentum is zero. | 1 |
What are the best books about the Confederate States of America? | 0 |
46. For which of the following conditions, blocks will not slip for any value of ' $\omega$ '?
(a) $m_{2} r_{2}=m_{1} r_{1}$
(b) $m_{2} r_{1}=m_{1} r_{2}$
(c) $m_{2} r_{2}^{2}=m_{1} r_{1}^{2}$
(d) $m_{2} r_{1}^{2}=m_{1} r_{2}^{2}$ | 1 |
8. If $A=\left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right]$, then
a. $\operatorname{adj}(\operatorname{adj} A)=A$
b. $|\operatorname{adj}(\operatorname{adj} A)|=1$
c. $|\operatorname{adj} A|=1$
d. none of these | 1 |
12. A solution of $8 \%$ boric acid is to be diluted by adding a $2 \%$ boric acid solution to it. The resulting mixture is to be more than $4 \%$ but less than $6 \%$ boric acid. If we have 640 litres of the $8 \%$ solution, how many litres of the $2 \%$ solution will have to be added? | 1 |
What is your review of Volkswagen Polo? | 0 |
1. Match the following two columns for a series AC circuit.
| Column I | Column II |
| :--- | :--- |
| (a) Only $C$ in the circuit | (p) current will lead |
| (b) Only $L$ in the circuit | (q) voltage will lead |
| (c) Only $R$ in the circuit | (r) $\varphi=90^{\circ}$ |
| (d) $R$ and $C$ in the circuit | (s) $\varphi... | 1 |
Can a Webcam girl really make £45,000 per month? | 0 |
27. A block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive direction of an axis is applied to the block. The force is given by $\vec{F}=\left(1-x^{2}\right) \hat{i} N$, when $x$ is in meters and the initial position of the block is $x=0$. The maximum kinetic energy of ... | 1 |
In what centuries did a Jewish community develop in England? | 0 |
20. Saturated solution of $\mathrm{KNO}_{3}$ is used to make 'salt-bridge' because
[2001S]
(a) velocity of $\mathrm{K}^{+}$is greater than that of $\mathrm{NO}_{3}^{-}$
(b) velocity of $\mathrm{NO}_{3}^{-}$is greater than that of $\mathrm{K}^{+}$
(c) velocities of both $\mathrm{K}^{+}$and $\mathrm{NO}_{3}^{-}$are n... | 1 |
9. A vernier calipers has $1 \mathrm{~mm}$ marks on the main scale. It has 20 equal divisions on the vernier scale which match with 16 main scale divisions. For this vernier calipers, the least count is
(a) $0.02 \mathrm{~mm}$
(b) $0.05 \mathrm{~mm}$
(c) $0.1 \mathrm{~mm}$
(d) $0.2 \mathrm{~mm}$ | 1 |
2. A bob of mass $m$ attached with a string of length $l$ tied to a point on ceiling is released from a position when its string is horizontal. At the bottom most point of its motion, an identical mass $m$ gently stuck to it. Find the maximum angle from the vertical to which it rotates.
(a) $\cos ^{-1} \frac{2}{3}$
(b)... | 1 |
8. The normal to the curve $y(x-2)(x-3)=x+6$ at the point, where the curve intersects the $Y$-axis passes through the point
(a) $-\frac{1}{2},-\frac{1}{2}$
(b) $\frac{1}{2}, \frac{1}{2}$
(c) $\frac{1}{2},-\frac{1}{3}$
(d) $\frac{1}{2}, \frac{1}{3}$ | 1 |
1. The frequency of a green light is $6 \times 10^{14} \mathrm{~Hz}$. Its wavelength is
(a) 500 nm
(b) 5 nm
(c) 5000 nm
(d) none of these
[Hint: $1 \mathrm{~nm}=10^{-9} \mathrm{~m}$ ] | 1 |
What are the main differences between a latte, a cappuccino, a mocha, and a macchiato? | 0 |
How can I stop being insecure about my relationship? | 0 |
How do billionaires use other people's money to grow their empires? | 0 |
65. In the nuclear transmutation
$$
{ }_4^9 \mathrm{Be}+\mathrm{X} \rightarrow{ }_4^8 \mathrm{Be}+\mathrm{Y}
$$
$(X, Y)$ is (are)
(a) $(\gamma, n)$
(b) $(p, D)$
(c) $(n, D)$
(d) $(\gamma, p)$
(IIT 2013 Adv.)
$$
\begin{aligned}
& \text { [Hint: }:{ }_4^9 \mathrm{Be}+{ }_b^a \mathrm{X} \rightarrow{ }_4^8 \mathrm{Be}+{... | 1 |
65. Given $I_{m}=\int_{1}^{e}(\log x)^{m} d x$. If $\frac{I_{m}}{K}+\frac{I_{m-2}}{L}=e$, then the values of $K$ and $L$ are
a. $\frac{1}{1-m}, \frac{1}{m}$
b. $(1-m), \frac{1}{m}$
c. $\frac{1}{1-m}, \frac{m(m-2)}{m-1}$
d. $\frac{m}{m-1}, m-2$ | 1 |
11. Which one of the following statements is wrong in the context of X-rays generated from an X-ray tube ?
(a) Wavelength of characteristic X-rays decreases when the atomic number of the target increases
(b) Cut-off wavelength of the continuous X-rays depends on the atomic number of the target
(c) Intensity of the... | 1 |
27. One train is approaching an observer at rest and another train is receding from him with the same velocity $4 \mathrm{~m} / \mathrm{s}$. Both trains blow whistles of same frequency of $243 \mathrm{~Hz}$. The beat frequency in $\mathrm{Hz}$ as heard by the observer is (speed of sound in air $=320 \mathrm{~m} / \math... | 1 |
7. A current loop, having two circular arcs joined by two radial lines as shown in the figure. It carries a current of $10 \mathrm{~A}$. The magnetic field at point $O$ will be close to
(a... | 1 |
Why does the stress strain curve of mild steel suddenly falls after higher yield point? | 0 |
How do I place a soil spring support on tie beams in STAAD? | 0 |
What are the best ways to make money online? | 0 |
27 A thin flake of mica $(n=1.58)$ is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side fringe $(m=7)$. If $\lambda=550 \mathrm{~nm}$, what is the thickness of the mica? | 1 |
90. $P Q$ is a normal chord of the parabola $y^{2}=4 a x$ at $P, A$ being the vertex of the parabola. Through $P$ a line is drawn parallel to $A Q$ meeting the $x$-axis in $R$. Then line 1ength of $A R$ is
a. equal to the length of the latus rectum
b. equal to the focal distance of the point $P$
c. equal to twice th... | 1 |
-5 Miniature black holes. Left over from the big-bang beginning of the universe, tiny black holes might still wander through the universe. If one with a mass of $1 \times 10^{11} \mathrm{~kg}$ (and a radius of only $1 \times 10^{-16} \mathrm{~m}$ ) reached Earth, at what distance from your head would its gravitational ... | 1 |
38. The function $f(x)=\begin{array}{ll}|x-3|, & x \geq 1 \\ \frac{x^{2}}{4}-\frac{3 x}{2}+\frac{13}{4}, & x<1\end{array}$ is $\quad(1988,2 \mathrm{M})$
(a) continuous at $x=1$
(b) differentiable at $x=1$
(c) discontinuous at $x=1$
(d) differentiable at $x=3$ | 1 |
Who gets the views when questions are reasked? | 0 |
What is the business model/plan of WhatsApp and Snapchat? How do these companies make money? | 0 |
7. An $n-p-n$ transistor is used in common emitter configuration as an amplifier with $1 \mathrm{k} \Omega$ load resistance. Signal voltage of $10 \mathrm{mV}$ is applied across the base-emitter. This produces a 3 $\mathrm{mA}$ change in the collector current and $15 \mu \mathrm{A}$ change in the base current of the am... | 1 |
37. In the circuit shown in the figure, $R=55 \Omega$, the equivalent resistance between the points $P$ and $Q$ is
(a) $30 \Omega$
(b) $35 \Omega$
(c) $55 \Omega$
(d) $25 \Omega$ | 1 |
1.
| Column I | Column II |
| :--- | :---: |
| a. The possible value of $a$ if $\vec{r}=(\hat{i}+\hat{j})+\lambda(\hat{i}+2 \hat{j}-\hat{k})$ and | |
| $\vec{r}=(\hat{i}+2 \hat{j})+\mu(-\hat{i}+\hat{j}+a \hat{k})$ are not consistent, where $\lambda$ and $\mu$ are | p. -4 |
| scalars, is | |
| b. The angle between ve... | 1 |
How can I earn 30-50$ per day online? | 0 |
What is the best way to finance a coding bootcamp in UK? | 0 |
20. Consider Bohr's model to be valid for a hydrogen like atom with atomic number $Z$. Match quantities given in Column -I to those given in Column II.
| Column - I | | Column - II |
| :--- | :--- | :--- |
| A. $\frac{Z^{3}}{n^{5}}$ | (p) $\quad$ Angular speed | |
| B. $\frac{Z^{2}}{n^{2}}$ | (q) $\quad$ Magnetic fi... | 1 |
Who did the central Junta fall to? | 0 |
Ghorala is another word for what? | 0 |
1. $A_{1}, A_{2}, A_{3}, \ldots$ are in G.P. with common ratio
a. $e^{-k}$
b. $e^{-2 k}$
c. $e^{-4 k}$
d. None of these | 1 |
2. Which of the following substituted phenol is most acidic in nature?
(A) I
(B) II
(C) III
(D) IV | 1 |
11. Which of the following numbers is rational? $(1998,2 \mathrm{M})$
(a) $\sin 15^{\circ}$
(b) $\cos 15^{\circ}$
(c) $\sin 15^{\circ} \cos 15^{\circ}$
(d) $\sin 15^{\circ} \cos 75^{\circ}$ | 1 |
Which ruler reigned between 1350 to 1389? | 0 |
13. A piece of wood is floating in water kept in a bottle. The bottle is connected to an air pump. Neglect the compressibility of water. When more air is pushed into the bottle from the pump, the piece of wood will float with
(a) larger part in the water
(b) lesser part in the water
(c) same part in the water
(d) it wi... | 1 |
16. Statement 1: Normal chord drawn at the point $(8,8)$ of the parabola $y^{2}=8 x$ subtends a right angle at the vertex of the parabola.
Statement 2: Every chord of the parabola $y^{2}=4 a x$ passing through the point $(4 a, 0)$ subtends a right angle at the vertex of the parabola. | 1 |
33. The rate constant of a reaction, $2 \mathrm{~A} \rightarrow$ Products, with initial reactant concentration a mole/ L , is $\mathrm{kmole} / \mathrm{L} / \mathrm{min}$. The $t_{1 / 2}$ for the reaction is equal to
(a) $\frac{0.6932}{k} \mathrm{~min}$
(b) $\frac{1}{a k} \min$
(c) $\frac{a}{2 k} \min$
(d) $\frac{a}{4 ... | 1 |
Should I buy Samsung S7 edge or wait for S8? | 0 |
30. The number of elements in the set $A \cap B \cap C$ is
(a) 0
(b) 1
(c) 2
(d) $\infty$ | 1 |
(i) 1-Bromo-1-methylcyclohexane | 1 |
40 A wire 1.80 m long carries a current of 13.0 A and makes an angle of $35.0^{\circ}$ with a uniform magnetic field of magnitude $B=$ 1.50 T . Calculate the magnetic force on the wire. | 1 |
29. Among the following, the coloured compound is
(a) $\mathrm{CuCl}$
(b) $\mathrm{K}_{3}\left[\mathrm{Cu}(\mathrm{CN})_{4}\right]$
(c) $\mathrm{CuF}_{2}$
(d) $\left[\mathrm{Cu}\left(\mathrm{CH}_{3} \mathrm{CN}\right)_{4}\right] \mathrm{BF}_{4}$ | 1 |
What were some different genres that emerged from ancient India's oral literary traditions? | 0 |
56. The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal
a. is linear
b is homogeneous of second degree
c. has separable variables
d. is of second order | 1 |
10.29 Mercury has an angle of contact equal to $140^{\circ}$ with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside? Surface tension of mercury at the temperature of th... | 1 |
45. The compound $\mathbf{Z}$ is
(a) $\mathrm{Mg}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
(b) $\mathrm{Fe}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
(c) $\mathrm{Fe}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]_{3}$
(d) $\mathrm{K}_{2} \mathrm{Zn} 3\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]_{2}$ | 1 |
27. A, B , C , D are the points of intersection of a circle and a rectangular hyperbola which have different centres. If AB passes through the centre of the hyperbola, then CD passes through
(a) Centre of the hyperbola
(b) centre of the circle
(c) mid-point of the centres of circle and hyperbola
(d) none of the poi... | 1 |
5. The correct order of bond dissociation energy among $\mathrm{N}_{2}$, $\mathrm{O}_{2}$, $\mathrm{O}_{2}^{-}$ is shown in which of the following arrangements?
(a) $\mathrm{N}_{2}>\mathrm{O}_{2}^{-}>\mathrm{O}_{2}$
(b) $\mathrm{O}_{2}^{-}>\mathrm{O}_{2}>\mathrm{N}_{2}$
(c) $\mathrm{N}_{2}>\m... | 1 |
44. The first ionisation potential in electron volts of nitrogen and oxygen atoms are respectively given by
(a) $14.6,13.6$
(b) $13.6,14.6$
(c) $13.6,13.6$
(d) $14.6,14.6$ | 1 |
33. The specific rate constant of a first order reaction depends on the
(a) concentration of the reactant
(b) concentration of the product
(c) time
(d) temperature | 1 |
5. The electrochemical equivalent of a material depends on
(a) the nature of the material
(b) the current through the electrolyte containing the material
(c) the amount of charge passed through the electrolyte
(d) the amount of this material present in the electrolyte. | 1 |
Why do Asian travelers eat the food they can eat all the time at home, instead of trying new things in the local? | 0 |
Have you ever witnessed something that made you glad to be alive? | 0 |
How can I improve my English spelling? | 0 |
26. The aqueous solutions of the following substances were electrolysed. In which case, the pH of the solution does not change if inert electrodes are used.
(a) $\mathrm{AgNO}_{3}$
(b) $\mathrm{CuSO}_{4}$
(c) NaCl
(d) $\mathrm{K}_{2} \mathrm{SO}_{4}$ | 1 |
33. The volume of water needed to dissolve 1 g of $\mathrm{BaSO}_4\left(K_{\mathrm{sp}}=1 \cdot 1 \times 10^{-10}\right)$ at $25^{\circ} \mathrm{C}$ is
(a) 820 litres
(b) 450 litres
(c) 205 litres
(d) none of these | 1 |
19. A body of mass $2 \mathrm{~kg}$ is moving under the influence of a central force whose potential energy is given by $U=2 r^{3} \mathrm{~J}$. If the body is moving in a circular orbit of $5 \mathrm{~m}$, its energy will be
(a) $625 \mathrm{~J}$
(b) $250 \mathrm{~J}$
(c) $500 \mathrm{~J}$
(d) $125 \mathrm{~J}$ | 1 |
What is a good way to learn and code VBA? | 0 |
What would be the impact of GST in india? | 0 |
5. How many elements has $\mathrm{P}(\mathrm{A})$, if $\mathrm{A}=\phi$ ? | 1 |
What date is usually given as the beginning of the Middle Ages? | 0 |
105. Normals drawn to $y^{2}=4 a x$ at the points where it is intersected by the line $y=m x+c$ intersect at $P$. Foot of the another normal drawn to the parabola from the point ' $P$ ' is
a. $\left(\frac{a}{m^{2}},-\frac{2 a}{m}\right)$
b. $\left(\frac{9 a}{m}, \frac{-6 a}{m}\right)$
c. $\left(a m^{2},-2 a m\right)$
d... | 1 |
19. The probability that a student is not a swimmer is $1 / 5$. Then find the probability that out of 5 students exactly 4 are swimmer. | 1 |
30. For $n \in Z$, the general solution of $(\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2$ is $(n \in Z)$
a. $\theta=2 n \pi \pm \frac{\pi}{4}+\frac{\pi}{12}$
b. $\theta=n \pi+(-1)^{n} \frac{\pi}{4}+\frac{\pi}{12}$
c. $\theta=2 n \pi \pm \frac{\pi}{4}$
d. $\theta=n \pi+(-1)^{n} \frac{\pi}{4}-\frac{\pi}{12}$ | 1 |
An organic compound (A) with molecular formula $\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}$ forms an orange-red precipitate with $2,4-$ DNP reagent and gives yellow precipitate on heating with iodine in the presence of sodium hydroxide. It neither reduces Tollens' or Fehlings' reagent, nor does it decolourise bromine wat... | 1 |
3. A conductor of length $l$ is placed perpendicular to a horizontal uniform magnetic field $B$. Suddenly, a certain amount of charge is passed through it, when it is found to jump to a height $h$. The amount of charge that passes through the conductor is
(a) $\frac{m \sqrt{g h}}{B l}$
(b) $\frac{m \sqrt{g h}}{2 B l}$
... | 1 |
125. $A B C D$ is a square $A \equiv(1,2), B \equiv(3,-4)$. If line $C D$ passes through $(3,8)$ then midpoint of $C D$ is
a. $(2,6)$
b. $(6,2)$
c. $(2,5)$
d. $(24 / 5,1 / 5)$ | 1 |
How can I view deleted Instagram text messages? | 0 |
136 A corner reflector, much used in optical, microwave, and other applications, consists of three plane mirrors fastened together to form the corner of a cube. Show that after three reflections, an incident ray is returned with its direction exactly reversed. | 1 |
Where can I get best flavors, designs and decorations for cupcakes at Gold Coast? | 0 |
What are good gifts for a foreign visitor to bring when they're invited to someone's home in Vietnam for the first time? | 0 |
Example 4.42 A function $f: R \rightarrow R$ satisfies the equation $f(x+y)=f(x) f(y)$ for all $x, y \in R$ and $f(x) \neq 0$ for all $x \in R$. If $f(x)$ is differentiable at $x=0$ and $f^{\prime}(0)=2$, then prove that $f^{\prime}(x)=2 f(x)$. | 1 |
What are the books to be read in your early 20s? | 0 |
Example 6.43 Find the remainder when $5^{99}$ is divided by 13 . | 1 |
6. If $a, b$, and $c$ also represent the sides of a triangle, then the complete set of $\alpha^{2}$ is
a. $\left(\frac{1}{3}, 3\right)$
b. $(2,3)$
c. $\left[\frac{1}{3}, 2\right]$
d. $\left(\frac{\sqrt{5}+3}{2}, 3\right)$ | 1 |
Which scientist was influenced by Marxism in the United Kingdom? | 0 |
Ex. 37. Calculate $\Delta G$ at 298 K for the following reaction if the reaction mixture consists of 1 atm of $\mathrm{N}_{2}, 3 \mathrm{~atm}$ of $\mathrm{H}_{2}$ and 1 atm of $\mathrm{NH}_{3}$.
$$
\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{~g}) ; \Delta \ma... | 1 |
What is the difference between democratic socialism and socialism? | 0 |
In what decade did Damásio and LeDoux do notable work? | 0 |
4. The decreasing order of electrical conductivity of the following aqueous solutions is:
$0.1 \mathrm{M}$ Formic acid (A),
$0.1 \mathrm{M}$ Acetic acid (B),"0.1 M Benzoic acid (C).
(a) $\mathrm{A}>\mathrm{C}>\mathrm{B}$
(b) $\mathrm{C}>\mathrm{B}>\mathrm{A}$
(c) $\mathrm{A}>\mathrm{B}>\mathrm{C}$
(d) $\mathrm{C}... | 1 |
19. With one focus of the hyperbola $\frac{x^{2}}{9}-\frac{y^{2}}{16}=1$ as the centre, a circle is drawn which is tangent to the hyperbola with no part of the circle being outside the hyperbola. The radius of the circle is
a. less than 2
b. 2
c. $1 / 3$
d. none of these | 1 |
What are some tips to stay comfortable in a wedding day? | 0 |
False charges can be brought against a journalist who writes about what? | 0 |
What do cultural sociologist tend to reject as key attribute of culture? | 0 |
22. The orbital angular momentum of an electron in $2 s$ orbital is:
(a) $+\frac{1}{2} \cdot \frac{h}{2 \pi}$
(b) Zero
(c) $\frac{h}{2 \pi}$
(d) $\sqrt{2} \cdot \frac{h}{2 \pi}$ | 1 |
What was Joseph Bédier's main criticism of the stemmatic method? | 0 |
9. The eccentricity of the conic represented by $x^{2}-y^{2}-4 x$ $+4 y+16=0$ is
a. 1
b. $\sqrt{2}$
c. 2
d. $\frac{1}{2}$ | 1 |
28. The solution of differential equation
$$
y y^{\prime}=x\left(\frac{y^{2}}{x^{2}}+\frac{f\left(y^{2} / x^{2}\right)}{f^{\prime}\left(y^{2} / x^{2}\right)}\right) \text { is }
$$
a. $f\left(y^{2} / x^{2}\right)=c x^{2}$
b. $x^{2} f\left(y^{2} / x^{2}\right)=c^{2} y^{2}$
c. $x^{2} f\left(y^{2} / x^{2}\right)=c$
d. $f... | 1 |
22. The threshold frequency for a certain photosensitive metal is $v_{0}$. When it is illuminated by light of frequency $v=2 v_{0}$, the stopping potential for photoelectric current is $V_{0}$. What will be the stopping potential when the same metal is illuminated by light of frequency $v=3 v_{0}$ ?
(a) $1.5 V_{0}$
(b)... | 1 |
(b) It is observed that at time $t=T$, the metal bar $A B$ is at a distance of $2 x_{0}$ from the long wire and the resistance $R$ carries a current $i_{1}$. Obtain an expression for the net charge that has flown through resistance $R$ from $t=0$ to $t=T$. | 1 |
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