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39. A spring of spring constant $5 \times 10^{3} \mathrm{~N} / \mathrm{m}$ is stretched initially by $5 \mathrm{~cm}$ from the unstretched position. The work required to further stretch the spring by another $5 \mathrm{~cm}$ is
(a) $6.25 \mathrm{~N}-\mathrm{m}$
(b) $12.50 \mathrm{~N}-\mathrm{m}$
(c) $18.75 \mathrm{~N}-... | 1 |
In approximately what year was Bulgaria founded? | 0 |
What type of new Indian culture was formed from this mixture of cultures? | 0 |
19. Two moles of an ideal gas is expanded isothermally and reversibly from 1 litre to 10 litres at $300 \mathrm{~K}$. The enthalpy change (in $\mathrm{kJ}$ ) for the process is
(a) $11.4 \mathrm{~kJ}$
(b) $-11.4 \mathrm{~kJ}$
(c) $0 \mathrm{~kJ}$
(d) $4.8 \mathrm{~kJ}$ | 1 |
2. The increasing order of the acidity of the $\alpha$-hydrogen of the following compounds is :
(a) (D) $<$ (C) $<$ (A) $<$ (B)
(b) (B) $<$ (C) $<$ (A) $<$ (D)
(c) (A) $<$ (C) $<$ (D) $<$ (B)
(d) (C) $<$ (A) $<$ (... | 1 |
What are some good ways to increase attention span? | 0 |
23. The tangent at a point $P$ on the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ passes through the point $(0,-b)$ and the normal at $P$ passes through the point $(2 a \sqrt{2}, 0)$ then eccentricity of the hyperbola is
a. 2
b. $\sqrt{2}$
c. 3
d. $\sqrt{3}$ | 1 |
35. The number of geometric isomers possible for the complex $\left[\mathrm{Co} L_{2} \mathrm{Cl}_{2}\right]$ $\left(L=\mathrm{H}_{2} \mathrm{NCH}_{2} \mathrm{CH}_{2} \mathrm{O}^{-}\right)$is
$[$ Adv. 2016 | 1 |
9. If $\alpha$ root occurs $p$ times and $\beta$ root occurs $q$ times in polynomial equation $f(x)=0$ or $n$ degree $(1<p, q<n)$, then which of the following is not true. (where $f^r(x)$ represents $r$ th derivative of $f(x)$ w.r.t. $x$ )
a. if $p<q<n$, then $\alpha$ and $\beta$ are two of the roots of the equation $f... | 1 |
8. Using the expression $2 \mathrm{~d} \sin \theta=\lambda$, one calculates the values of $d$ by measuring the corresponding angles $\theta$ in the range 0 to $90^{\circ}$. The wavelength $\lambda$ is exactly known and the error in $\theta$ is constant for all values of $\theta$. As $\theta$ increases from $0^{\circ}$
... | 1 |
10. Three identical particles each of mass $M$ move along a common circular path of radius $R$ under the mutual interaction of each other. The velocity of each particle is
(a) $\sqrt{\frac{G M}{R} \sqrt{\frac{2}{3}}}$
(b) $\sqrt{\frac{G M}{\sqrt{3} R}}$
(c) $\sqrt{\frac{G M}{3 R}}$
(d) $\sqrt{\frac{2}{3} \frac{G M}{R}}... | 1 |
50. If $f(\pi)=2$ and $\int_{0}^{\pi}\left(f(x)+f^{\prime \prime}(x)\right) \sin x d x=5$, then $f(0)$ is equal to (it is given that $f(x)$ is continuous in $[0, \pi]$ )
a. 7
b. 3
c. 5
d. 1 | 1 |
What event led to larger crop yields in the High Middle Ages? | 0 |
What is a G-pen? | 0 |
Is there any possibility to increase height after 21? | 0 |
Problem 7.13
Write the conjugate acids for the following Brönsted bases: $\mathrm{NH}_{2}^{-}, \mathrm{NH}_{3}$ and $\mathrm{HCOO}^{-}$. | 1 |
27. $A B$ is a diameter of a circle, $C D$ is a chord parallel to $A B$ and $2 C D=A B$. The tangent at $B$ meets the line $A C$ produced at $E$. Prove that $A E=2 A B$. | 1 |
16. A circular plate of uniform thickness has a diameter of $56 \mathrm{~cm}$. A circular portion of diameter $42 \mathrm{~cm}$ is removed from one edge of the plate as shown in figure.
Find the position of the centre of mass of the remaining portion.
... | 1 |
How do I prepare for Advanced Financial Management paper of CA Final exams in 2 weeks? | 0 |
10. $A, B, C$ and $D$ are four points such that $\overrightarrow{A B}=m(2 \hat{i}-6 \hat{j}+2 \hat{k}), \overrightarrow{B C}=(\hat{i}-2 \hat{j})$ and $\overrightarrow{C D}=n(-6 \hat{i}+15 \hat{j}-3 \hat{k})$. If $C D$ intersects $A B$ at some point $E$, then
(a) $m \geq 1 / 2$
(b) $n \geq 1 / 3$
(c) $m=n$
(d) $m<n$ | 1 |
29. One volume of a compound of carbon, hydrogen and oxygen was exploded with 2.5 volumes of oxygen. The resultant mixture contained 2 volumes of water vapour and 2 volumes of carbon dioxide. All volumes were measured in identical conditions. Determine the formula of the compound.
$$
\left(\mathrm{C}_{2} \mathrm{H}_{4... | 1 |
82. If ' $p$ ' and ' $q$ ' are distinct prime numbers, then the number of distinct imaginary numbers which are $p^{\text {th }}$ as well as $q^{\text {th }}$ roots of unity are
a. $\min (p, q)$
b. $\max (p, q)$
c. 1 d. zero | 1 |
5. On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius $R$ and making a circular contact of radius $r$ with the bottom of the vessel. If $r<<R$ and the surface tension of water is $T$, value of $r$ just before bubbles detach is (density of water ... | 1 |
11. The lower comer of a leaf in a book is folded over so as to reach the inner edge of the page. Show that the fraction of the width folded over when the area of the folded part is minimum is $2 / 3$. | 1 |
What has Barack Obama done that gets so many people angry? | 0 |
Does Chase charge a fee on cash advances? | 0 |
8. Two guns $A$ and $B$ can fire bullets at speeds $1 \mathrm{~km} / \mathrm{s}$ and $2 \mathrm{~km} / \mathrm{s}$, respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets on the ground fired by the two guns is
(a) $1: 4$
(b) $1... | 1 |
14. The dissociation energy of $\mathrm{CH}_{4}$ and $\mathrm{C}_{2} \mathrm{H}_{6}$ are respectively 360 and $620 \mathrm{kcal} / \mathrm{mole}$. The bond energy of $\mathrm{C}-\mathrm{C}$ is
(a) $260 \mathrm{kcal} / \mathrm{mole}$
(b) $180 \mathrm{kcal} / \mathrm{mole}$
(c) $130 \mathrm{kcal} / \mathrm{mole}$
(d) $80... | 1 |
22. The quadratic $x^{2}+a x+b+1=0$ has roots which are positive integers, then $\left(a^{2}+b^{2}\right)$ can be equal to
a. 50
b. 37
c. 61
d. 19 | 1 |
10. The oxidation states of Cr in
$\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Cl}_{3},\left[\mathrm{Cr}\left(\mathrm{C}_{6} \mathrm{H}_{6}\right)_{2}\right]$ and $\mathrm{K}_{2}\left[\mathrm{Cr}(\mathrm{CN})_{2}(\mathrm{O})_{2}(\mathrm{O})_{2}\left(\mathrm{NH}_{3}\right)\right]$ respecti... | 1 |
(d) Thallium(I) sulphate | 1 |
Are there any website like Quora? | 0 |
Regualtions carry force of law when based on reasonable interpretation of what? | 0 |
What is the demography of aging? | 0 |
How long did it take you to solve the Rubik's Cube intuitively in the beginning? | 0 |
2. The differential equation representing the family of curves $y^{2}=2 c(x+\sqrt{c})$, where $c$ is a positive parameter, is of
a. order 1
b. order 2
c. degree 3
d. degree 4 | 1 |
2. Given, $\frac{b+c}{11}=\frac{c+a}{12}=\frac{a+b}{13}$ for a $\triangle A B C$ with usual notation. If $\frac{\cos A}{\alpha}=\frac{\cos B}{\beta}=\frac{\cos C}{\gamma}$, then the ordered $\operatorname{triad}(\alpha, \beta, \gamma)$ has a value
(a) $(19,7,25)$
(b) $(3,4,5)$
(c) $(5,12,13)$
(d) $(7,19,25)$ | 1 |
1. Hydrogen peroxide, in the pure state, is :
(a) non-planar and almost colorless
(b) linear and blue in color
(c) linear and almost colorless
(d) planar and blue in color | 1 |
8. Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is $60^{\circ}$ ). In the position of minimum deviation, the angle of refraction will be
(a) $30^{\circ}$ for both the colours
(b) greater for the violet colour
(c) greater for the red colour
(d) equal but not $30^{\c... | 1 |
The midbrain region of the brain is known as what? | 0 |
(e) Find the velocity of the wire as a function of time. | 1 |
87. If $f: X \rightarrow Y$, where $X$ and $Y$ are sets containing natural numbers, $f(x)=\frac{x+5}{x+2}$ then the number of elements in the domain and range of $f(x)$ are respectively
a. 1 and 1
b. 2 and 1
c. 2 and 2
d. 1 and 2 | 1 |
Can I pick up undeliverable USPS mail from post office? | 0 |
119 A peanut is placed 40 cm in front of a two-lens system: lens 1 (nearer the peanut) has focal length $f_{1}=+20 \mathrm{~cm}$, lens 2 has $f_{2}=-15 \mathrm{~cm}$, and the lens separation is $d=10 \mathrm{~cm}$. For the image produced by lens 2 , what are (a) the image distance $i_{2}$ (including sign), (b) the imag... | 1 |
| 3 |  | | | | | | 1 |
What is ASME Y14. X? | 0 |
Between what two rivers did Lothair receive a kingdom? | 0 |
What is hadoop programming? | 0 |
What is maldives role in SAARC? | 0 |
1. Example Find the equation of hyperbola
a. whose axes are coordinate axes and the distances of one of its vertices from the foci are 3 and 1 ;
b. whose centre is $(1,0)$, focus is $(6,0)$ and transverse axis is 6 ;
c. whose centre is $(3,2)$, one focus is $(5,2)$ and one vertex is $(4,2)$;
d. whose centre is $(-... | 1 |
5. In the figure shown $A$ and $B$ are free to move. All the surfaces are smooth. Mass of $A$ is $m$. Then
(a) the acceleration of $A$ will be more than $g \sin \theta$
(b) the accelerati... | 1 |
Who studied rage and shame cycles in married couples? | 0 |
How can I get my hacked Instagram account? | 0 |
By examining the properties of oil and vacuum circuit breakers, which is more suited for rapid reclosing? | 0 |
Why do you love winter? | 0 |
118. Rajdhani Express going from Bombay to Delhi stops at five intermediate stations, 10 passengers enter the train during the journey with 10 different ticket of two classes. The number of different sets of tickets they may have is
a. ${ }^{15} C_{10}$
b. ${ }^{20} C_{10}$
c. ${ }^{30} C_{10}$
d. none of these | 1 |
10. The half-life of ${ }^{215} \mathrm{At}$ is $100 \mu \mathrm{s}$. The time taken for the activity of a sample of ${ }^{215} \mathrm{At}$ to decay to $\frac{1}{16}$ th of its initial value is
(JEE 2002)
(a) $400 \mu \mathrm{s}$
(b) $63 \mu \mathrm{s}$
(c) $40 \mu \mathrm{s}$
(d) $300 \mu \mathrm{S}$ | 1 |
30. Which of the following is true about point of extremum $x=a$ of function $y=f(x)$ ?
a. at $x=a$, function $y=f(x)$ may be discontinuous
b. at $x=a$, function $\mathrm{y}=f(x)$ may be continuous but nondifferentiable
c. at $x=a$, function $y=f(x)$ may have point of inflection
d. None of these | 1 |
10. Trace of $A^{50}$ equals
a. 0
b. 1
c. 2
d. 3 | 1 |
32. If $\mathbf{a}$ and $\mathbf{b}$ are two vectors, then the value of $(\mathbf{a}+\mathbf{b}) \times(\mathbf{a}-\mathbf{b})$ is
(a) 2 (b $\times \mathbf{a})$
(b) $-2(\mathbf{b} \times \mathbf{a})$
(c) $\mathbf{b} \times \mathbf{a}$
(d) $\mathbf{a} \times \mathbf{b}$ | 1 |
4. The probability that $X=3$ equals
a. $25 / 216$
b. $25 / 36$
$$
\begin{array}{ll}
\text { c. } 5 / 36 & \text { d. } 125 / 216
\end{array}
$$ | 1 |
Write the general term in the expansion of
3. $\left(x^{2}-y\right)^{6}$ | 1 |
What would win in a fight between a grizzly bear, silverback gorilla and a lion? | 0 |
Will the universe end? | 0 |
5. The work done on a particle of mass $m$ by a force,
$K \frac{x}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{\mathbf{i}}+\frac{y}{\left(x^{2}+y^{2}\right)^{3 / 2}} \hat{\mathbf{j}} \quad(K$ being a constant of appropriate dimensions), when the particle is taken from the point $(a, 0)$ to the point $(0, a)$ along a circul... | 1 |
13.6 Write reactions of the final alkylation product of aniline with excess of methyl iodide in the presence of sodium carbonate solution. | 1 |
With whom did the Renaissance movement begin? | 0 |
6. A ball of mass $1 \mathrm{~kg}$ is suspended by an inextensible string $1 \mathrm{~m}$ long attached to a point $O$ of a smooth horizontal bar resting on fixed smooth supports $A$ and $B$. The ball is released from rest from the position when the string makes an angle $30^{\circ}$ with the vertical. The mass of the ... | 1 |
What does Sigmund believe we all as adults desire? | 0 |
Which areas are composed as the Coral Triangle? | 0 |
10. The breakdown in a reverse biased $p-n$ junction diode is more likely to occur due to
(a) large velocity of the minority charge carriers if the doping concentration is small
(b) large velocity of the minority charge carriers if the doping concentration is large
(c) strong electric field in a depletion region if ... | 1 |
How does Soyoung.com make money? | 0 |
Why do people put ridiculous questions on Quora when they can just Google them? Huh, Huh, Huh :-/ | 0 |
What are the failures of Narendra modi after becoming prime minister? | 0 |
I am trying to become a math scholar. What books do you recommend? | 0 |
What does KSOG stand for? | 0 |
17. A sample space consists of 3 sample points with associated probabilities given as $2 p, p^{2}, 4 p-1$. Then the value of $p$ is
a. $p=\sqrt{11}-3$
b. $\sqrt{10}-3$
c. $\frac{1}{4}<p<\frac{1}{2}$
d. none | 1 |
What three points in life does the KSOG evaluate? | 0 |
Which colony was the official British colony for freed slaves? | 0 |
The neurostransmitter that usually excites targets is called what? | 0 |
4. If $T_{r}$ is the $r$ th term of an AP, for $r=1,2,3, \ldots$. If for some positive integers $m$ and $n$, we have $T_{m}=\frac{1}{n}$ and $T_{n}=\frac{1}{m}$, then $T_{m n}$ equals
$(1998,2 M)$
(a) $\frac{1}{m n}$
(b) $\frac{1}{m}+\frac{1}{n}$
(c) 1
(d) 0 | 1 |
Who should be the next president, and why? | 0 |
9. A spherical volume contains a uniformly distributed charge of density $2.0 \times 10^{-4} \mathrm{C} \mathrm{m}^{-3}$. Find the electric field at a point inside the volume at a distance $4.0 \mathrm{~cm}$ from the centre. | 1 |
What other European country were claims similar to those levied against Greece made? | 0 |
9. Compare the bond lengths of the indicated bonds in the given compound :
(A) $\mathrm{a}<\mathrm{b}=\mathrm{c}$
(B) $a>b=c$
(C) $a=b=c$
(D) cannot be compared | 1 |
2. A metallic particle having no net charge is placed near a finite metal plate carrying a positive charge. The electric force on the particle will be
(a) towards the plate
(b) away from the plate
(c) parallel to the plate
(d) zero. | 1 |
What is an example of an involuntary intent of a message related to nonverbal communication? | 0 |
5. A convex lens forms a real image of a point object placed on its principal axis. If the upper half of the lens is painted black,
(a) the image will be shifted downward
(b) the image will be shifted upward
(c) the image will not be shifted
(d) the intensity of the image will decrease. | 1 |
Dove makes a Men +Care line of soap they say is for the face and body. Is it healthy to use the same bar of soap on your face and body? | 0 |
In what century were castles first built? | 0 |
Example 24.1 How many electrons are there in one coulomb of negative
charge? | 1 |
How do I differentiate between saving money & being a miser? | 0 |
7. Two cars of unequal masses use similar tyres. If they are moving at the same initial speed, the minimum stopping distance
(a) is smaller for the heavier car
(b) is smaller for the lighter car
(c) is same for both cars
(d) depends on the volume of the car. | 1 |
By what power or energy that electron did move in the circular path? | 0 |
17. The mass of a hydrogen molecule is $3.32 \times 10^{-27} \mathrm{~kg}$. If $10^{23}$ hydrogen molecules strike per second, a fixed wall of area 2 $\mathrm{cm}^{2}$ at an angle of $45^{\circ}$ to the normal and rebound elastically with a speed of $10^{3} \mathrm{~m} / \mathrm{s}$, then the pressure on the wall is ne... | 1 |
Ex. 5. Calculate the quantity of ferrous and ferric ions that would be deposited by 1 faraday. | 1 |
3. If $f_{1}, f_{2}$ and $f_{3}$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $f_{0}$ of the whole string is
(a) $f_{0}=f_{1}+f_{2}+f_{3}$
(b) $\frac{1}{f_{0}}=\frac{1}{f_{1}}+\frac{1}{f_{2}}+\frac{1}{f_{3}}$
(c) $\frac{1}{\sqrt{f_{0}}}=\frac{... | 1 |
42. The enolic form of acetone contains
(a) 9 sigma bonds, 1 pi-bond and 2 lone pairs
(b) 8 sigma bonds, 2 pi-bonds and 2 lone pairs
(c) 10 sigma bonds, 1 pi-bond and 1 lone pair
(d) 9 sigma bonds, 2 pi-bonds and 1 lone pair | 1 |
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