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Who arranged elements his periodic table, based upon atomic weight:
A. Thomson
B. Mendeleev
c. Lavoisier
D. sir Humphrey Davy | 1 | Chemistry |
Which of the following is correct?
\( \boldsymbol{S} \boldsymbol{O}_{3}+\boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \rightarrow \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C} \)
Reddish Acidic Neutral
Brown Oxide compound
Coloured
Substance
A. B can act as bleaching agent
B. A can be starch iodide test
c. \( B \) can oxidise \( C l \)
D. A oxidises Hypo to \( S_{4} O_{6}^{2} \) | 1 | Chemistry |
A piece of wire of resistance \( \boldsymbol{R} \) is cut
into five equal parts out of which four of them are connected to forms a square
\( A B C D . \) The fifth one is connected
diagonally across \( B D . \) If a battery is
connected across \( A C, \) what would be
the equivalent resistance in the circuit?
A. \( R / 25 \)
в. \( 4 R / 5 \)
c. \( R / 5 \)
D. \( 2 R / 5 \) | 3 | Physics |
Choose the Correct answer from
alternative given. The phenomena which is not explained by Huygen's construction of wavefront.
A. reflection
B. diffraction
c. refraction
D. origin of spectra | 3 | Physics |
Two particles \( A \) and \( B \) are moving as
shown in the figure. At this moment
of time the angular speed of \( A \) with
respect to \( B \) is
A \( \cdot \frac{1}{r\left(v_{a}+v_{b}\right)} \)
B. \( \frac{v_{a} \sin \theta_{a}+v_{b} \sin \theta_{b}}{r} \) in the anticlockwise direction
c. \( \frac{v_{a} \sin \theta_{a}-v_{b} \sin \theta_{b}}{r} \) in the clockwise direction
D \( \frac{1}{r\left(v_{a}-v_{b}\right)} \) | 3 | Physics |
\( \operatorname{Let}\left(a_{1}, a_{2}, a_{3}, \dots, a_{2011}\right) \) be a
permutation (that is a rearrangement) of the numbers \( 1,2,3, \ldots, 2011 . \) Show
that there exist two numbers \( j, k \) such that \( 1 \leq j<k \leq 2011 \) and \( \left|a_{j}-j\right|= \)
\( \left|\boldsymbol{a}_{\boldsymbol{k}}-\boldsymbol{k}\right| \)
A. 20101005
B. 2011 1006
c. 20111005
D. 2011 1010 | 2 | Maths |
The number of chromosomes in a
somatic cell, of a diploid organism (with original of 10 pairs), after DNA replication and before mitosis would be
A . 10
B. 20
c. 30
D. 40
E . 50 | 0 | Biology |
Class of enzymes contained in Iysosome
A. Lyases
B. Ligases
c. Hydrolases
D. Transferases | 0 | Biology |
A toy car travels in a horizontal circle of
radius \( 2 a, \) kept on the track by a radial elastic string of unstretched length a. The period of rotation is T. Now the car
is speeded up until it is moving in a circle of radius 3 a. Assuming that the string obeys Hooke's law then the new period will be
A \( \cdot \sqrt{\frac{4}{3}} T \)
B \( \cdot \frac{3^{2}}{3^{3}} T \)
c. \( \sqrt{\frac{3}{2}} T \)
D. \( \frac{3}{4} T \) | 3 | Physics |
Excretion of bile pigments in the urine
indicates
A. Anaemia
B. Diabetes
c. Rickets
D. Jaundice | 0 | Biology |
A point moves such that its displacement as a function of time is given by \( x^{3}=t^{3}+1 . \) Its acceleration as
a function of time \( t \) will be:
A \( \cdot \frac{2}{x^{5}} \)
B. \( \frac{2 t}{x^{3}} \)
\( c \cdot \frac{2 t}{x^{4}} \)
D. \( \frac{2 t^{2}}{x^{5}} \) | 3 | Physics |
Which of the following is correct?
A. \( \% \) abundance of \( B^{10}=\% \) abundance of \( B^{11} \)
B. \( \% \) abundance of \( B^{10}>\% \) abundance of \( B^{11} \)
C. \( \% \) abundance of \( B^{10}<\% \) abundance of \( B^{11} \)
D. none of the above | 1 | Chemistry |
The receptors for non-steroid peptide hormones are on the :
A. plasma membrane
B. nuclear envelope
c. DNA receptor complex
D. peptide chain | 1 | Chemistry |
Volume and surface area of a solid
hemisphere are numerically equal then what is the diameter of hemisphere? | 2 | Maths |
\( B r C H_{2}-C H_{2}-C H=O \) and
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\underset{\mid \boldsymbol{B} \boldsymbol{r}}{\boldsymbol{C}}=\boldsymbol{O} \) are :
A. Functional isomers
B. Position isomers
c. chain isomers
D. Metamers | 1 | Chemistry |
A storage battery takes \( t_{0} \) time when
DC current \( I_{0} \) is used to charge it. Find
the time taken if a half wave rectifier is
used with \( A C \) mains and effective
current is \( \boldsymbol{I}_{0} \)
A \( \cdot t_{0} \pi \)
в. \( \frac{2 t_{0}}{\pi} \)
c. \( \frac{\pi t_{0}}{2} \)
D. \( t \) | 3 | Physics |
A \( 2 V \) battery, a \( 990 \Omega \) resistor and a
potentiometer of \( 2 m \) length,all are connected in series of the resistance of
potentiometer wire is \( 10 \Omega \), then the potential gradient of the potentiometer wire is
A \( \cdot 0.05 V m^{-1} \)
B \( .0 .5 V m^{-1} \)
c. \( 0.01 V m^{-1} \)
D. \( 0.001 V m^{-1} \) | 3 | Physics |
\( \boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{H}^{+}+\boldsymbol{O} \boldsymbol{H}^{-} \)
The above reaction is dissociation or
ionization?
A. Dissociation
B. Ionization
c. Both dissociation and ionization together
D. None of these | 1 | Chemistry |
If emf induced in a coil is \( 2 V \) by
changing the current in it from \( 8 A \) to
\( 6 A \) in \( 2 \times 10^{-3} s, \) then the coefficient of
self induction is
A \( \cdot 2 \times 10^{-3} H \)
в. \( 10^{-3} H \)
c. \( 0.5 \times 10^{-3} H \)
D. \( 4 \times 10^{-3} H \) | 3 | Physics |
An electron \( \left(\operatorname{mass}=9.1 \times 10^{-31}\right. \)
charge \( \left.=-1.6 \times 10^{-19} \mathrm{C}\right) \) experiences
no deflection if subjected to an electric field of \( 3.2 \times 10^{5} V / m \) and a magnetic
field of \( 2.0 \times 10^{-3} \mathrm{Wb} / \mathrm{m}^{2} . \) Both the
fields are normal to the path of electron and to each other. Ifthe electric field is
removed, then the electron will revolve in an orbit of radius:
A . \( 45 \mathrm{m} \)
в. 4.5 т
c. \( 0.45 m \)
D. \( 0.045 \mathrm{m} \) | 3 | Physics |
Which of the following reactions is/ are
not intermolecular redox reaction?
This question has multiple correct options
\( \mathbf{A} \cdot P b O_{2}+H_{2} O \rightarrow P b O+H_{2} O_{2} \)
B \( \cdot 2 K C l O_{3} \rightarrow 2 K C l+3 O_{2} \)
\( \mathbf{C} \cdot\left(N H_{4}\right)_{2} C r_{2} O_{7} \rightarrow N_{2}+C r_{2} O_{3}+4 H_{2} O \)
D. \( N H_{4} N O_{2} \rightarrow N_{2}+2 H_{2} O \) | 1 | Chemistry |
\( M \) and \( N \) are midpoints of \( A B \) and \( A C \)
respectively \( \boldsymbol{A} \boldsymbol{M}=\mathbf{3} \mathbf{c m}, \boldsymbol{A} \boldsymbol{N}=\mathbf{5} \) cm
and \( M N=7 \) cm. Find \( B C \)
A. \( 14 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( c \cdot 6 \mathrm{cm} \)
D. \( 7 \mathrm{cm} \) | 2 | Maths |
Which of the reactants act as oxidant or
reductant if any:
\( 2 I^{-}+H_{2} O_{2} \rightarrow 2 O H^{-}+I_{2} \)
\( \mathbf{A} \cdot H_{2} O_{2} \)
B . \( I^{-} \)
c. Both of these
D. None of these | 1 | Chemistry |
If the compression factor of a gas is
more than unity at \( S T P \), then the value
of \( V_{m} \) is:
A . greater than \( 22.4 d m^{3} \)
B. lesser than \( 22.4 d m^{3} \)
c. equal to \( 22.4 d m^{3} \)
D. dependent on its molecular mass | 1 | Chemistry |
Find the mean and variance for the
following frequency distrubution
\( \begin{array}{lllll}\text { classes } & \begin{array}{l}0- \\ 10\end{array} & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}\text { 20- } \\ \text { 30 }\end{array} & \begin{array}{l}\text { 30 } \\ 40\end{array}\end{array} \)
Frequencies 5 8 3.
15 | 2 | Maths |
\( \sin ^{-1}\left(\cos \left(\sin ^{-1} x\right)\right)+ \)
\( \cos ^{-1}\left(\sin \left(\cos ^{-1} x\right)\right) \) is equal to
\( A \cdot \frac{\pi}{2} \)
B.
\( c \cdot \frac{3 \pi}{4} \)
D. | 2 | Maths |
Explain the principle on which a fire extinguisher works. | 1 | Chemistry |
A reaction takes place in three steps;
the rate constants are \( K_{1}, K_{2} \) and \( K_{3} \)
respectively. The overall rate constant \( \boldsymbol{K}=\frac{\boldsymbol{K}_{\mathbf{1}}^{\mathbf{3} / \mathbf{2}} \boldsymbol{K}_{\mathbf{3}}^{\mathbf{2} / \mathbf{3}}}{\boldsymbol{K}_{\mathbf{2}}^{\mathbf{1} / \mathbf{4}}} . \) If activation energy of
each steps are 50,500 and \( 90 k J \) respectively, then overall activation energy of the reaction is:
A . 10
в. 270
\( c \cdot 300 \)
D. 620 | 1 | Chemistry |
\( \ln \operatorname{an} A P, \) if \( d=-2, n=5 \) and \( a_{n}=0 \)
then the value of \( a \) is
A . 10
B. 5
\( c \cdot-8 \)
D. 8 | 2 | Maths |
The magnitude of the earths magnetic
field at a place is \( B_{0} \) and the angle of
dip is \( \delta . A \) horizontal conductor of length
lying along the magnetic north-south moves eastwards with a velocity \( v . \) The emf induced across the conductor is:
A . zero
B. \( B_{0} v l \sin \delta \)
c. \( B_{0} l v \)
D. \( B_{0} l \cos \delta \) | 3 | Physics |
Crus cerebri is found in
A. Hind brain
B. Fore brain
c. Mid brain
D. spinal cord | 0 | Biology |
The approximate value of quantum number \( n \) for the circular orbit of
hydrogen 0.0001 mm diameter is
A. 1000
B. 60
c. 10000
D. 31 | 3 | Physics |
In a Young's double slit experiment, a
slab of thickness \( 1.2 \mu m \) and refractive
index 1.5 is placed in front of one slit
and another slab of thickness t and
refractive index 2.5 is placed in front of
the second slit. If the position of the central fringe remains unaltered, then
the thickness is
A. \( 0.4 \mu m \)
B. \( 0.8 \mu m \)
c. \( 1.2 \mu m \)
D. \( 0.72 \mu m \) | 3 | Physics |
The graph of \( \ln \left(R / R_{0}\right) \) versus \( \ln A \)
\( (R=\text { radius of a nucleus and } A=\mathrm{its} \)
mass number) is then
A. a straight line
B. a parabola
c. an ellipse
D. none of them | 3 | Physics |
For a satellite moving in an orbit around the earth, the ratio of K.E to P.E is:
A \( -\frac{1}{2} \)
B. \( -\frac{1}{\sqrt{2}} \)
\( c \cdot 2 \)
D. \( \sqrt{2} \) | 3 | Physics |
Find the value of \( \boldsymbol{y} \) if \( \mathbf{1}+\mathbf{4}+\mathbf{7}+\mathbf{1 0}+ \)
\( \ldots .+y=287 \) | 2 | Maths |
Atomic mass of an element is:
A. actual mass of one atom of the element
B. relative mass of an atom of the element
C . average mass of an atom of different atoms of the element
D. always a whole number | 3 | Physics |
A projectile fired from the top of a \( 40 m \) high cliff with an initial speed of \( 50 m / s \) at an unknown angle. Find its speed when it hits the ground. \( (g= \) \( \left.10 m / s^{2}\right) \) | 3 | Physics |
A simple camera with a converging lens of \( 60 \mathrm{mm} \) focal length is focused on very far objects. To focus the camera on a nearby object \( 1.5 \mathrm{m} \) away, the distance between the film and lens will have to
be
A. decreased by \( 2.5 \mathrm{mm} \)
B. increased by 2.5 mm
c. kept fixed as before, but aperture increased by a factor of 2.5
D. kept fixed as before, but aperture decreased by a factor of 2.5 | 3 | Physics |
Who was the first to classify the elements into metals and non-metals?
A. Meyer
B. Mendeleev
C. Lavoisier
D. None of the above | 1 | Chemistry |
a) Write Haworth structure of "Lactose"
b) i) What are non-essential amino acids?
ii) Write Zwitter ionic structure of
"glycine".
c) Name the nitrogenous base present in RNA but not in DNA. | 1 | Chemistry |
Find the heat radiated per second by a body of surface area \( 12 \mathrm{cm}^{2} \) kept in
thermal equilibrium in a room at
temperature \( 20^{\circ} \mathrm{C} \). The emissivity of the
surface is 0.8 and \( \sigma=6 x \)
\( 10^{-8} W m^{-2} K^{-4} \)
A . 4.2
B . 0.42
c. 0.042
D. 42 | 3 | Physics |
Copper of fixed volume 'v; is drawn into wire of length 'I. When this wore is subjected to a constant force 'F', the
extension produced in the wire is ' \( \Delta l \) Which of the following graphs is a straight line?
A \( \cdot \Delta l \) versus \( \frac{1}{i} \)
B. \( \Delta l \) versus \( l^{2} \)
c. \( \Delta l \) versus \( \frac{1}{l^{2}} \)
D. \( \Delta l \) versus \( l \) | 3 | Physics |
Reduction of aldehydes and ketones into hydrocarbons using zinc amalgam and conc. HCl is called
A . Cope reduction
B. Dow reduction
c. Wolf-kishner reduction
D. Clemmensen reduction | 1 | Chemistry |
Two simple harmonic motions are
represented by the equations.
\( \boldsymbol{y}_{1}=\mathbf{1 0} \sin \frac{\pi}{4}(\mathbf{1 2} \boldsymbol{t}+\boldsymbol{I}), \boldsymbol{y}_{2}= \)
\( \mathbf{5}(\sin 3 p t+\sqrt{3} \cos 3 p t) \)
The ratio of their amplitudes is
A . 1: 1
B. 1: 2
\( c .3: 2 \)
D. 2: 3 | 3 | Physics |
A comparison of the plots of the magnitude of acceleration - time graph and displacement - time graph for a particle executing SHM with angular velocity 2 rad/s reveals
A. Both the curves overlap exactly with their magnitudes
B. The curve appear complementary to each other
C. The time periods calculated using these plots are identical
D. The time period calculated in both the plots are different | 3 | Physics |
Which of the following is true
This question has multiple correct options
\( \mathbf{A} \cdot(3+\sqrt{-5})(3-\sqrt{-5})=14 \)
B \( \cdot(-2+\sqrt{-3})(-3+2 \sqrt{-3})=-7 \sqrt{3} i \)
\( \mathbf{c} \cdot(2+3 i)^{2}=(-5+12 i) \)
D. \( (\sqrt{5}-7 i)^{2}=-44-14 \sqrt{5} i \) | 2 | Maths |
An electron is revolving around a proton in a circular orbit of diameter 1 A. If it
produces a magnetic field of \( 14 w b / m^{2} \) at the proton, then its angular velocity will be about
A. \( 8.75 \times 10^{16} \) rad/s
B. \( 10^{10} \) rad/s
\( \mathbf{c} \cdot 4 \times 10^{15} \mathrm{rad} / \mathrm{s} \)
D. \( 10^{15} \) rad/s | 3 | Physics |
Let \( \boldsymbol{f}: \mathbb{N} \rightarrow \mathbb{N} \) be defined by \( \boldsymbol{f}(\boldsymbol{n})= \)
\( \left\{\begin{array}{ll}\frac{n+1}{2}, & \text { if } n \text { is odd } \\ \frac{n}{2}, & \text { if } n \text { is even }\end{array} n \in \mathbb{N}\right. \)
State whether the function \( f \) is
bijective. Justify your answer. | 2 | Maths |
A body of mass \( m \) is hauled from the
Earth's surface by applying a force \( \overrightarrow{\boldsymbol{F}} \) varying with the height of ascent \( y \) as \( \vec{F}=2(a y-1) m g, \) where \( a \) is a positive
constant. Find the work performed by
this force \( W \) and the increment in the
body's potential energy \( \Delta U \) in the gravitational field of the Earth over the
first half of the ascent.
A. \( W=\frac{3 m g}{4 a}, \Delta U=\frac{m g}{2 a} \)
в. \( W=\frac{3 m g}{a}, \Delta U=\frac{m g}{2 a} \)
c. \( _{W}=\frac{3 m g}{4 a}, \Delta U=\frac{m g}{a} \)
D. \( W=\frac{3 m g}{4 a}, \Delta U=\frac{m g}{3 a} \) | 3 | Physics |
Any unit which can be obtained by the combination of one or more
fundamental units is called
A. Fundamental unit
B. Scale
c. Derived unit
D. standard unit | 3 | Physics |
Which of the following structures are
ring chain isomer of each other?
\( A \)
B.
\( c \)
Methylcyclopropane
D. | 1 | Chemistry |
Watson and Crick are known for their
discovery that DNA
A. Is a single stranded helix
B. Contains deoxyribose only
c. Is a double stranded helì
D. synthesizes rRNA | 0 | Biology |
Assertion
The relation \( \boldsymbol{R} \) given by
\( \boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\} \)
on a set \( A=\{1,2,3,4\} \) is not
symmetric.
Reason
For symmetric relation \( \boldsymbol{R}=\boldsymbol{R}^{-1} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 2 | Maths |
A long, thin metal wire is suspended
from a fixed support and hangs
vertically. Masses are suspended from
its lower end.
The load on the lower end is increased
from zero and then decreased again
back to zero.
The diagram shows the force-extension
graph produced
Where on the graph would the elastic limit be found?
A. anywhere between point \( R \) and point \( S \)
B. just beyond point \( S \)
c. exactly at point \( S \)
D. exactly at point \( T \) | 3 | Physics |
\( \frac{1}{2}-\frac{1}{2^{2} \cdot 2}+\frac{1}{2^{3} \cdot 3}-\frac{1}{2^{4} \cdot 4}+\ldots \infty= \)
A \( . \log 2 \)
B. \( \log 3 \)
\( \mathrm{c} \cdot \log \frac{3}{2} \)
D. \( \log _{3} \frac{2}{3} \) | 2 | Maths |
The set of all solution of the inequality \( (1 / 2)^{x^{2}-2 x}<1 / 4 \) contains the set:
\( A \cdot(-\infty, 0) \)
B \( \cdot(-\infty, 1) \)
\( \mathbf{c} \cdot(1, \infty) \)
D \cdot \( (3, \infty) \) | 2 | Maths |
\( \operatorname{Let} g(x)=\frac{f(x)}{x+1} \) where \( f(x) \) is
differentiable on [0,5] such that
\( \boldsymbol{f}(\mathbf{0})=\mathbf{4}, \boldsymbol{f}(\mathbf{5})=-1 . \) There exists \( \boldsymbol{c} \in \)
(0,5) such that \( g^{\prime}(c) \) is ?
\( A \cdot-\frac{1}{6} \)
B. \( \frac{1}{6} \)
c. \( -\frac{5}{6} \)
D. - | 2 | Maths |
\( N a^{+} \) secreting from the kidney are highly affected by the hormone
A. cortisol
B. ADH
c. Aldosteron
D. Progesteron | 0 | Biology |
Identify, the correct sequence of the cell cycle events.
I. Nuclear membrane dissolves
I. Cell size increases
III. Two daughter cells form
IV. DNA replicates
A . I, IV, Il and III
B. I, IV, III and II
c. ॥, ।, IV and III
D. II, IV, I and III
E. IV, II, III and | 0 | Biology |
In the fig the bar is uniform and
weighting \( 500 N \). How large must \( W \) be
f \( T_{1} \) and \( T_{2} \) are to equal?
\( A \cdot 500 N \)
3. \( 300 N \)
\( c .750 N \)
D. \( 1500 N \) | 3 | Physics |
What was the percentage increase in
production of fertilizers in 2002
compared to that in \( 1995 ? \)
enlilizers b
A . 320\%
B. 300\%
c. 220\%
D . 200\% | 2 | Maths |
Which of the following statements is
false?
A. Oxygenated blood is pumped to all other parts of the body from left ventricle.
B. Gaseous exchange in the alveoli happens through capillaries.
C. Blood-from the right side of the heart enters into left side through right auricle and left auricle.
D. Lungs oxygenate the deoxygenated blood. | 0 | Biology |
The sensitivity of a voltmeter of 1000 ohms is \( 1 \mathrm{mV} / \) div When a resistance of
\( 99,000 \Omega \) is connected in series, its sensitivity becomes:
A. 1 Volt / div
B. 10 Volt / div
c. 1.1 volt / div
D. 0.1 volt / div | 3 | Physics |
The following displacement - time graph shows the posiitions of a body at
different times. Calculate the velocity of
the body as it moves from
(i) \( A-B \)
(ii) \( B-C \)
\( (\text { iii) } C-D \) | 3 | Physics |
Two balls of same mass are released
simultaneously from heights h \( \& 2 \mathrm{h} \) from the ground level. The balls collide
with the floor \( \& \) sticks to it. Then the
velocity-time graph of centre of mass of the two balls is best represented by: | 3 | Physics |
What is the formula of the compound
cesium trichlorofluoro iodate(III)?
\( \mathbf{A} \cdot\left[\operatorname{Cr}\left(N H_{3}\right)_{5} C l\right] S O_{4} \)
\( \mathbf{B} \cdot \operatorname{Cs}\left[I C l_{3} F\right] \)
\( \mathbf{c} \cdot \operatorname{Cs}\left[I C l_{2} F\right] \)
D. None of the above | 1 | Chemistry |
Alkene can be produced by:
A. dehydration of alcohols
B. dehydrohalogenation of alkyl halides
C. dehalogenation of haloalkanes
D. all of above | 1 | Chemistry |
The real part of \( (1-\cos \theta+2 i \sin \theta)^{-1} \)
is?
A \( \cdot \frac{1}{3+5 \cos \theta} \)
в. \( \frac{1}{5-3 \cos \theta} \)
c. \( \frac{1}{3-5 \cos \theta} \)
D. \( \frac{1}{5+3 \cos \theta} \) | 2 | Maths |
The process of change in position of an object over time is called
A . rest
B. stationary
c. motion
D. none of the above | 3 | Physics |
\( 2 N O C l(g) \leftrightharpoons 2 N O(g)+C l_{2}(g) \)
For the above reaction, which of the
following expressions gives the equilibrium constant?
\( ^{\text {A. }} \frac{[N O C l]}{[N O]\left[C l_{2}\right]} \)
\( ^{\mathrm{B}} \cdot \frac{[N O]\left[C l_{2}\right]}{[N O C l]} \)
c. \( \frac{[N O C l]^{2}}{[N O]^{2}\left[C l_{2}\right]} \)
D. \( \frac{[N O]^{2}\left[C l_{2}\right]}{[N O C l]^{2}} \)
E \( \frac{[N O C l]^{2}}{[N O]^{2}\left[C l_{2}\right]^{2}} \) | 1 | Chemistry |
\( d \)
\( c \)
\( \% \) | 1 | Chemistry |
\( \operatorname{Det}\left\{\begin{array}{lll}2 & 45 & 55 \\ 1 & 29 & 32 \\ 3 & 68 & 87\end{array}\right\}=\dots \dots \)
A . 45
B. 64
\( c \cdot 54 \)
D. 32 | 2 | Maths |
Solve :
\( \mathbf{2} \boldsymbol{y}=-\boldsymbol{x}+\mathbf{1} \) | 2 | Maths |
Assertion: Alcohols on dehydration can produce ether as well as alkene under different conditions.
Reason: Dehydration of alcohol proceeds through the formation of carbonium ion.
A. Both Assertion and Reason are true and Reason is the correct explanation to Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation to Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true | 1 | Chemistry |
A sudden large jump between the values of second and third ionization
energies of an element would be associated with the
electronic configuration of:
A \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{1} \)
B . \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{1} \)
C \( \cdot 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2}, 3 p^{2} \)
D. \( 1 s^{2}, 2 s^{2}, 2 p^{6}, 3 s^{2} \) | 1 | Chemistry |
The Young's modulus of a wire of length
\( \boldsymbol{L} \) and radius \( \boldsymbol{r} \) is \( \boldsymbol{Y} \boldsymbol{N} / \boldsymbol{m}^{2} . \) The length
and radius are reduced to \( \frac{L}{6} \) and \( \frac{r}{6} \) then its Young's modulus is :
\( A \cdot 6 Y \)
в. \( \frac{Y}{6} \)
\( c \cdot Y \)
D. \( 3 Y \) | 3 | Physics |
Find the point of inflexion of \( \boldsymbol{f}(\boldsymbol{x})= \) \( 3 x^{4}-4 x^{3} \) and hence draw the graph of
\( \boldsymbol{f}(\boldsymbol{x}) \) | 2 | Maths |
tood
E | 1 | Chemistry |
The initial velocity of a particle is \( u \) (at
\( t=0 \) ) and the acceleration \( a \) is given by
\( \boldsymbol{f} \boldsymbol{t} \)
Which of the following relations is
valid?
A \( \cdot v=u+f t^{2} \)
B . \( v=u+f t^{2} / 2 \)
\( \mathbf{c} \cdot v=u+f t \)
D. \( v=u \) | 3 | Physics |
Find the number of molecule(s) is/are having zero dipole moment and linear shape from the following:
\( \boldsymbol{C l} \boldsymbol{F}_{3}, \boldsymbol{I}_{3}^{-}, \boldsymbol{C O}_{2}, \boldsymbol{H} \boldsymbol{g} \boldsymbol{C l}_{2}, \boldsymbol{I} \boldsymbol{C l}_{2}^{-}, \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{2} \) | 1 | Chemistry |
Assertion
A glass ball is dropped on concrete floor can easily get broken compared if it is dropped wooden floor.
Reason
On concrete floor glass ball will take
less time to come to rest.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 3 | Physics |
150 is what percent of \( 30 ? \)
\( A \cdot 5 \% \)
B . \( 20 \% \)
c. \( 50 \% \)
D. \( 200 \% \)
E . \( 500 \% \) | 2 | Maths |
The radius of a circular disc is given as
\( 24 c m \) with a maximum error in
measurement of \( 0.02 \mathrm{cm} . \) Estimate the
maximum error in the calculated area
of the disc and compute the relative error by using differentials. | 2 | Maths |
Solve:
\( \left(\frac{x^{a}}{x^{b}}\right)^{a+b-c}\left(\frac{x^{b}}{x^{c}}\right)^{b+c-a}\left(\frac{x^{c}}{x^{a}}\right)^{c+a-b}= \) | 2 | Maths |
Two \( 2 \mathrm{m} \) long parallel wires are placed in vacuum at a distance \( 0.2 \mathrm{m} \). If
current \( 0.2 \mathrm{A} \) flows in both the wires in
the same direction, calculate the force acting per unit length between them. | 3 | Physics |
Chemotaxonomy does not deal with
A. Chemical nature of protiens
B. DNA sequences
c. Aromatic compounds found in plants
D. Chromosome number | 0 | Biology |
Statement \( 1: \sim(\mathbf{p} \leftrightarrow \sim \mathbf{q}) \) is equivalent
to \( \mathbf{p} \leftrightarrow \mathbf{q} \)
Statement \( 2: \sim(\mathbf{p} \leftrightarrow \sim q) \) is a
tautology
A. Both Statement 1 and Statement 2 are true and
Statement 2 is a correct explanation for statement 1
B. Both Statement 1and Statement 2 are true and Statement 2 is not a correct explanation for Statement
1
C. Statement 1 is true but statement 2 is false
D. Statement 1 is false but Statement 2 is true | 2 | Maths |
Write the general outer electronic configuration of \( s, p, d \) and \( f \) block elements. | 1 | Chemistry |
Meeta saves Rs. 400 from her salary. If
this is \( 10 \% \) of her salary. What is her salary?
A. Rs7000
B. Rs6000
c. Rs 4000
D. Rs5000 | 2 | Maths |
Which of the following reactions is not correct for the formation of acid rain?
A. \( N_{2}+O_{2} \rightarrow 2 N O \)
в. \( 2 N O+O_{2} \rightarrow 2 N O_{2} \)
c. \( H_{2} O+2 N O_{2} \rightarrow H N O_{2}+H N O_{3} \)
D. \( N O+O_{2} \rightarrow N O_{2} \) | 1 | Chemistry |
Woolen clothes keep the body warm
because the wool:
A. decreases the temperature of the body
B. is a good conductor of heat
C. increases the temperature of the body
D. is a bad conductor of heat | 1 | Chemistry |
Find the midpoint between the coordinates \( (\mathbf{9}, \mathbf{3}) \) and \( (\mathbf{1}, \mathbf{1}) \)
\( \mathbf{A} \cdot(5,2) \)
B \( \cdot(3,2) \)
\( \mathbf{c} \cdot(5,1) \)
D \( \cdot(3,1) \) | 2 | Maths |
Which of the following compounds
favours \( \boldsymbol{S}_{N} \) 2 mechanism?
A. \( C H_{3}-C H_{2}-B r \)
в. \( C H_{3}-O-C H_{2} B r \)
\( \mathbf{c} \cdot C_{6} H_{5}-C O-C H_{2} B r \)
D. \( C H_{3}-C\left(C H_{3}\right)_{2} C H_{2} B r \) | 1 | Chemistry |
Increase of temperature due to
scattering of energy is by ozone, \( \mathrm{CO}_{2} \) and water vapour, is known as
A. Radioactivity
B. Ozone effect
c. solar reaction
D. Greenhouse effect | 0 | Biology |
What is the velocity of vertically projected body at its maximum height
\( (h) ? \)
A \( \cdot \sqrt{2 g h} \)
B. zero
c. \( \frac{h^{2}}{g} \)
D. \( \sqrt{\frac{2 h}{g}} \) | 3 | Physics |
The number of integer solutions \( (x, y, z) \) of \( x y z=18 \) is
A . 48
B. 64
c. 72
D. 81 | 2 | Maths |
AB is a potentiometer wire of length 100
\( \mathrm{cm} \) and resistance 10 ohms. It is
connected in series with a resistance
\( \mathrm{R}=40 \) ohms and a battery of e.m.f. \( 2 \mathrm{V} \)
and negligible internal resistance. If a
source of unknown e.m.f. E is balanced
by \( 40 \mathrm{cm} \) length of the potentiometer
wire, the value of E is :-
A. \( 0.8 \mathrm{V} \)
B. \( 1.6 v \)
c. \( 0.08 \mathrm{v} \)
D. 0.16 v | 3 | Physics |
Find the forward \( \Delta_{r} U^{\circ} \) at \( 300 K \) for the
reaction \( 4 H C l(g)+O_{2}(g) \rightarrow \)
\( 2 C l_{2}(g)+2 H_{2} O(g) \) Assume all gases
are ideal. Given \( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow \)
\( 2 H C l(g) \Delta_{r} H_{300}^{\circ}=-184.5 k J / m o l \)
\( \mathbf{2} \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
\( \boldsymbol{\Delta}_{r} \boldsymbol{H}_{300}^{\circ}=-\mathbf{4 8 3 k J} / \) mol (Use \( \mathrm{R}=\mathbf{8 . 3} \)
J/mole)
A . 111.5 kJ/mole
B. -109.01 kJ/mole
c. -111.5 kJ/mole
D. None | 1 | Chemistry |
Define the term refractive index of a
medium in terms of velocity of light. | 3 | Physics |
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