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The \( 4^{t h} \) and \( 10^{t h} \) terms of an AP are 13
and 25 respectively. Find the first term
and the common difference of the AP.
Also, find its \( 17^{t h} \) term. | 2 | Maths |
The slope and y-intercept of the following line are respectively
\( 4 x-y=0 \)
A. slope \( =m=4 \) and \( y- \) intercept \( =0 \)
B. slope \( =m=-4 \quad \) and \( \quad y- \) intercept \( =0 \)
C \( . \) slope \( =m=1 / 4 \) and \( y- \) intercept \( =0 \)
D. slope \( =m=0 \) and \( y- \) intercept \( =1 / 4 \) | 2 | Maths |
If \( \boldsymbol{y}=\tan ^{-1}\left(\frac{1+\boldsymbol{x}^{2}}{1-\boldsymbol{x}^{2}}\right) \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=? \)
A. \( \frac{2 x}{\left(1+x^{4}\right)} \)
B. \( \frac{-2}{\left(1+x^{4}\right)} \)
c. \( \frac{x}{\left(1+x^{4}\right)} \)
D. none of these | 2 | Maths |
Polyphosphates are used as water softening agents because they:
A. form soluble complexes with anionic species
B. precipitate anionic species
C. form soluble complexes with cationic species
D. precipitate cationic species | 1 | Chemistry |
In the manufacture of acetic acid from
aerial oxidation of acetaldehyde, the catalyst used is :
A . acidified \( K_{2} C r_{2} O_{7} \)
в. \( \left(C H_{3} C O O\right)_{2} M n \)
\( \mathrm{c} \cdot \mathrm{HgSO}_{4} \)
D. \( N i \) | 1 | Chemistry |
The oscillations about a systems equilibrium position that occur in the absence of an external excitation are
This question has multiple correct options
A. free vibrations
B. damped vibrations
c. natural vibrations
D. None of these | 3 | Physics |
Arrange the following in increasing
order of their acidic strength.
\( \mathbf{A} \cdot I I I<I<I V<I I \)
В . \( I I<I<I V<I I I \)
\( \mathbf{c} \cdot I<I I I<I V<I I \)
D . \( I I<I I I<I<I V \) | 1 | Chemistry |
Match the column: | 1 | Chemistry |
\( 20 \mathrm{ml} \) of \( H_{2} O_{2} \) after acidification with
\( \operatorname{dil} H_{2} S O_{4} . \) required \( 30 \mathrm{ml} \) of \( \mathrm{N} / 2 \)
\( K M n O_{4} \) for complete oxidation
Calculate the \( \% \) of \( H_{2} O_{2} \) in g/lit.
A . 10.75 g/lit
B. 11.75 g/lit
c. \( 12.75 \mathrm{g} / \) lit
D. 13.75 g/lit | 1 | Chemistry |
Find the maximum and minimum
distances between the bars during the subsequent motion of the system, if the
masses of the bars are equal to \( m_{1} \) and
\( m_{2}, \) and the force \( F \) is applied to the bar
of mass \( \boldsymbol{m}_{2} \) | 3 | Physics |
Copper and Germanium are cooled from
room temperature to \( 100 K . \) Then the
resistance of
A. Germanium decreases, Copper increases
B. Germanium decreases, Copper decreases
c. Germanium increases, Copper decreases
D. Germanium increases, Copper increases | 3 | Physics |
Statement I : Ammonia has a trigonal pyramidal molecular geometry. Statement II : Ammonia has a
tetrahedral electron pair geometry with the three atoms bonded to the central
atom
A. true, true, correct explanation
B. true, true, not correct explanation
c. true, false
\( \mathbf{D} \cdot \) false, true | 1 | Chemistry |
Calculate the distance between the
points (-3,6,7) and (2,-1,4) in \( 3 D \)
space.
A . 4.36
в. 5.92
c. 7.91
D. 9.11
E . 22.25 | 2 | Maths |
A field is \( 225 m \) long and \( 175 m \) wide. It
has two roads in its centre of uniform
width of \( 5 m \), one parallel to its length
and the other parallel to its breadth.
Find the cost of levelling the roads at
Rs.3 per square metre.
A \( . \) Rs. 1975
в. \( R s .1125 \)
c. \( R s .592 \)
D. Rs.6125 | 2 | Maths |
Which of the following is not optically
active?
\( \mathbf{A} \cdot\left[\operatorname{Co}(e n)_{3}\right]^{3+} \)
B . \( \left[C r(o x)_{3}\right]^{3} \)
c. \( \operatorname{cis}-\left[\operatorname{CoCl}_{2}(e n)_{2}\right] \)
D. \( \operatorname{trans}-\left[\operatorname{CoCl}_{2}(e n)_{2}\right]^{+} \) | 1 | Chemistry |
If the first term of a GP is 729 and \( 7^{t h} \)
term is \( 64, \) then the sum of its first
seven terms is
A . 2187
в. 2059
\( c .1458 \)
D. 2123
E . 1995 | 2 | Maths |
A physical balance has its arms of
length \( 60 \mathrm{cm} \) and \( 40 \mathrm{cm} . \) What weight kept on pan of longer arm will balance an object of weight \( 100 g f \) kept on other pan?
A. \( 33.33 g f \)
\( f \)
в. \( 66.67 g f \)
\( c .50 g f \)
D. \( 16.67 g f \) | 3 | Physics |
Verify Lagrange's mean value theorem for the following function on the indicated interval. In each case find a
point \( ^{\prime} c^{\prime} \) in the indicated interval as
stated by the Lagrange's mean value theorem:
\( \boldsymbol{f}(\boldsymbol{x})=\sin \boldsymbol{x}-\sin 2 \boldsymbol{x}-\boldsymbol{x} \) on \( [\mathbf{0}, \boldsymbol{\pi}] \) | 2 | Maths |
As the temperature of a conductor
increases, its resistivity and
conductivity change. The ratio of resistivity to conductivity
A. increases
B. decreases
c. remains constant
D. may increase or decrease depending on the actual temperature | 3 | Physics |
\( \cos \left[\pi^{2}\right] \theta-\sin [e] \theta=? \) | 2 | Maths |
Find the value of \( \mathrm{m} \) and \( \mathrm{n} \) using cross multiplication method:
\( 3 m+n=15 \) and \( m+2 n=10 \)
\( A \cdot(4,3) \)
B. (-4,3)
\( c \cdot(-4,-3) \)
D. (4,-3) | 2 | Maths |
Based on above isomers answer the
following. Which isomers on dehydration with
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) give alkene which is capable to show geometrical isomerism?
\( A \cdot g, h, f \)
B. b, d, a
\( c \cdot a, b, c \)
\( D \)
of these | 1 | Chemistry |
Choose the incorrect statement:
A. Flemings right-hand rule is a simple rule to know the direction of induced current
B. The right-hand thumb rule is used to find the direction of magnetic fields due to current carrying conductors
C. The difference between the direct and alternating currents is that the direct current always flows in one direction, whereas the alternating current reverses its direction periodically
D. In India the AC changes direction after every \( \frac{1}{50} \) second | 3 | Physics |
From three men and two women,
environment committee of two person to be formed.
Condition for event \( \boldsymbol{A} \) : There must be at
least one woman member.
Condition for event \( B: \) One man, one
woman committee to be formed.
Condition for event \( C \) : There should not
be a woman member. | 2 | Maths |
n the figure, an ideal gas changes its
state from state \( A \) to state \( C \) by two
paths \( A B C \) and \( A C \)
The internal energy of gas of \( A \) is \( 30 J \)
and the amount of heat supplied to
change its state to \( C \) through path \( A C \)
is \( 210 J . \) Calculate the internal energy
of gas at \( C \) | 3 | Physics |
In an average soil, the percentage of organic matter is about
A . 20
B. 30
\( c \cdot 45 \)
D. | 0 | Biology |
Name two chemicals used to disinfect
water | 0 | Biology |
The velocity of a particle moving along a straight line increases according to
the linear law \( v=v_{0}+k x, \) where \( k \) is a
constant. Then
This question has multiple correct options
A. the acceleration of the particle is \( k\left(v_{0}+k x\right) \)
B the particle takes a time \( \frac{1}{k} \log _{e}\left(\frac{v_{1}}{v_{0}}\right) \) to attain a velocity \( v_{1} \)
c. velocity varies linearly with displacement with slope of velocity displacement curve equal to \( k \).
D. the acceleration of the particle is zero. | 3 | Physics |
Statement 1: In simple harmonic motion, the motion is to and fro and
periodic.
Statement 2: Velocity of the particle
\( (v)=\omega \sqrt{k^{2}-x^{2}} \) (where \( x \) is the
displacement).
A. Statement 1 is false, Statement 2 is true
B. Statement 1 is true, Statement 2 is true; Statement 2 is the correct explanation for Statement 1
c. statement 1 is true, Statement 2 is true; Statement 2 is not the correct explanation for Statement
D. Statement 1 is true, Statement 2 is false | 3 | Physics |
In mammals, the teeth are
(i) Of different types
(ii) Embedded in the cup-like socket of the jaw bones
(iii) Only two sets, present throughout life
These conditions are referred as
A. Heterodont, thecodont and diphyodont
B. Thecodont, heterodont and diphyodont
c. Diphyodont, thecodont and heterodont
D. Heterodont, diphyodont and thecodont
E. Thecodont, diphyodont and heterodont | 0 | Biology |
The given figure shows the plant for the
formation of an important compound \( \mathbf{X} \)
Identify \( X \)
A. Washing soda
B. Common salt
c. Baking powder
D. Bleaching powder | 1 | Chemistry |
The vertical component of earth's magnetic field is zero at
A. magnetic equator
B. magnetic poles
c. geographical poles
D. everywhere | 3 | Physics |
A value of \( C \) for which the conclusion of
Mean Value Theorem holds for the
function \( f(x)=\log _{e} x \) on the interval
[1,3] is
\( \mathbf{A} \cdot 2 \log _{3} e \)
B. \( \frac{1}{2} \log _{3} e \)
\( \mathbf{c} \cdot \log _{3} e \)
D. \( 2 \log _{e} 3 \) | 2 | Maths |
Match the Column-I and Column-II: | 1 | Chemistry |
The speed-time graph for a car is shown in Fig.
(a) Find how far does the car travel in
the first 4 seconds. Shade the area on
the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents
uniform motion of the car? | 3 | Physics |
Can you remove the shell of an unboiled egg without boiling, keeping the egg's thin membrane intact? If yes, explain. | 1 | Chemistry |
If energy( \( E \) ), velocity \( (V) \) and force \( (F) \) be taken as fundamental quantity, then what are the dimension of mass?
A \( . E V^{2} \)
B. \( E V^{-2} \)
\( \mathbf{c} \cdot F V^{-1} \)
D. \( F V^{-2} \) | 3 | Physics |
In an alkaline solution, the following equilibrium exists.
\( S^{2-}+S \leftrightharpoons S_{2}^{2-}, K_{1}=12 \)
\( \boldsymbol{S}_{2}^{2-}+\boldsymbol{S} \leftrightharpoons \boldsymbol{S}_{3}^{2-}, \boldsymbol{K}_{2}=\mathbf{1 1} \)
What is the equilibrium constant for the given equilibrium?
\( S_{3}^{2-} \leftrightharpoons S^{2-}+2 S \)
A \( \cdot 23 \)
в. 132
\( c \cdot 1 / 132 \)
D. \( 1 / 32 \) | 1 | Chemistry |
What is the type of reaction?
\( \boldsymbol{C H}_{2}-\boldsymbol{C H}-\boldsymbol{C H}_{3}+\boldsymbol{H B r} \rightarrow \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H B r} \boldsymbol{C H}_{3} \)
A. Nucleophilic addition
B. Electrophilic substitution
c. Electrophilic addition
D. Free radial addition | 1 | Chemistry |
The \( 100^{t h} \) element is named in honor of
A. Einstein
B. Bohr
c. Fermi
D. Curie | 1 | Chemistry |
A point at a distance of \( \sqrt{6} \) from the origin which lies on the straight line \( \frac{x-1}{1}=\frac{y-2}{2}=\frac{z+1}{3} \) will be
\( \mathbf{A} \cdot(1,-1,2) \)
В. (1,2,-1)
C \( \cdot\left(\frac{5}{7}, \frac{10}{7}, \frac{-13}{7}\right) \)
D. \( \left(\frac{5}{7}, \frac{2}{7}, \frac{-6}{7}\right) \) | 2 | Maths |
Find the missing number:
\( (+6) \times-----(-42) \) | 2 | Maths |
The value of \( \int \frac{x^{2}+1}{x^{4}-x^{2}+1} d x \) is
A \( \cdot \tan ^{-1}\left(2 x^{2}-1\right)+C \)
B. \( \tan ^{-1}\left(\frac{x^{2}-1}{x}\right)+C \)
\( ^{\mathrm{c}} \cdot \sin ^{-1}\left(x-\frac{1}{x}\right)+C \)
D. \( \tan ^{-1} x^{2}+C \) | 2 | Maths |
The total intensity of the earth's magnetic field at equator is 5 units. What is its value at the poles?
A . 5
B. 4
\( c .3 \)
D. 2 | 3 | Physics |
The intercept on the line \( y=x \) by the
\( \operatorname{circle} x^{2}+y^{2}-2 x=0 \) is \( A B \)
Equation of the circle with \( A B \) as a
diameter is
A \( \cdot x^{2}+y^{2}+x+y=0 \)
B . \( x^{2}+y^{2}-x-y=0 \)
c. \( x^{2}+y^{2}+x-y=0 \)
D. None of these | 2 | Maths |
What is the main function of lightning conductor?
A. To capture lightning stroke and conduct discharge current safely to the ground
B. To capture lightning stroke and conduct discharge current safely to the cloud
C. To capture lightning stroke and conduct discharge current safely to the building
D. None | 3 | Physics |
The velocity of a particle moving in straight line depends on its position \( x \)
w.r.t. to fixed origin according to the relation \( 16 x^{2}+4 v^{2}=9 . \) The
acceleration of particle when it is at
\( x=2 m \) is:
A \( .-2 m / s^{2} \)
B. \( -8 m / s^{2} \)
c. \( -6 m / s^{2} \)
D. Not defined | 3 | Physics |
Find the value of \( \cos \left(\sec ^{-1} x+\right. \)
\( \left.\operatorname{cosec}^{-1} x\right),|x| \geq 1 \) | 2 | Maths |
Which of the two tautomers is more
stable?
\( A \)
\( B \)
c. \( I=I I \)
D. None of these | 1 | Chemistry |
Choose the correct answers from the
alternatives given The prokaryotic genetic system contains:
A. either DNA or histones
B. DNA but no histones
c. neither DNA nor histones
D. DNA and histones | 0 | Biology |
Paramagnetism of oxygen is explained on the basis of which of the following electronic configuration?
A \( \cdot\left(2 \pi^{*} p y\right)^{1}\left(2 \pi^{*} p z\right)^{1} \)
B . \( \left(2 \pi^{*} p x\right)^{1}\left(2 \pi^{*} p y\right)^{1} \)
C \( \cdot(2 \sigma p x)^{1}(2 \pi p y)^{1} \)
D. \( (2 \sigma p y)^{1}(2 \pi p y)^{1} \) | 1 | Chemistry |
In Boolean algebra \( \boldsymbol{A} . \boldsymbol{B}=\boldsymbol{Y} \) implies
that:
A. product of \( A \) and \( B \) is \( Y \)
B. \( Y \) exists when \( A \) exists or \( B \) exists
c. \( Y \) exists when both \( A \) and \( B \) exist but not when only \( A \) or \( B \) exists
D. \( Y \) exists when \( A \) or \( B \) exists but not both \( A \) and \( B \) exist | 3 | Physics |
In a geometric progression with common ratio 'q', the sum of the first 109 terms exceeds the sum of the first
100 terms by \( 12 . \) If the sum of the first nine terms of the progression is \( \frac{\boldsymbol{\lambda}}{\boldsymbol{q}^{100}} \) then the value of \( \lambda \) equals to
A . 10
B. 14
c. 12
D. 22 | 2 | Maths |
The number of \( U^{238} \) nuclei in a rock
sample is equal to the number of \( \mathrm{Pb}^{206} \)
atoms. The half-life of \( \mathrm{U}^{238} \) is \( 4.5 \times 10^{9} \)
years.The age of the rock is
A \( \cdot 4.5 \times 10^{9} y \)
B. \( 9 \times 10^{9} y \)
C. \( 13.5 \times 10^{9} y \)
D. \( 18 \times 10^{9} y \) | 3 | Physics |
A dynamo
A. Creates mechanical energy
B. Creates electrical energy
C. Converts electrical energy into mechanical energy
D. Converts mechanical energy into electrical energy | 3 | Physics |
If \( 72 K \) is a perfect cube, find the value
of \( \boldsymbol{K} \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. | 2 | Maths |
A particle moves in the \( x-y \) plane under the action of a force \( \vec{F} \) such that the value of its linear momentum \( (\vec{P}) \) at
anytime \( t \) is \( P_{x}=2 \cos t, P_{y}=2 \sin t \)
The angle \( \theta \) between \( \vec{F} \) and \( \vec{P} \) at a
given time \( t \) will be
\( \mathbf{A} \cdot \theta=0^{\circ} \)
B . \( \theta=30 \)
c. \( \theta=90 \)
D. \( \theta=180^{\circ} \) | 3 | Physics |
State whether True or False:
Hysteresis is the number of lines of force per unit area in a magnetic field.
A. True
B. False | 3 | Physics |
If \( \boldsymbol{A}=\left(\begin{array}{ccc}1 & 2 & 1 \\ -1 & 0 & 3 \\ 2 & -1 & 1\end{array}\right) \) then
characteristic equation is given by
A. \( -\lambda^{3}+2 \lambda^{2}-4 \lambda+18=0 \)
0
B . \( \lambda^{3}+2 \lambda^{2}+4 \lambda+18=0 \)
c. \( 2 \lambda^{3}-\lambda^{2}+6 \lambda-2=0 \)
D. None of these | 2 | Maths |
Identify the constituent radiations of electromagnetic spectrum which
(a) is obsorbed by ozone layer in the atmosphere
(b) i produced by bombarding a metal target by high speed electrons
(c) is used in satellite communication
(d) has wavelength range between 400 nm to \( 700 \mathrm{nm} \) | 3 | Physics |
Which of the following non-metals belongs to the halogen family?
A. Flourine
B. Chlorine
c. Bromine
D. All of the above | 1 | Chemistry |
A uniform ladder of length \( 5 m \) is placed
against the wall as shown in the figure.
If coefficient of friction \( \mu \) is the same for
both the walls, what is the minimum
value of \( \mu \) for it not to slip?
A \( \cdot \mu=\frac{1}{2} \)
B. \( \mu=\frac{1}{4} \)
\( c \cdot_{\mu}=\frac{1}{3} \)
D. \( \mu=\frac{1}{5} \) | 3 | Physics |
Methanol is a:
A. yellow coloured liquid
B. brown coloured liquid
C . colourless liquid
D. blue coloured liquid | 1 | Chemistry |
Which element is not present in chlorophyll?
A. carbon
B. Calcium
c. Magnesium
D. Hydrogen | 1 | Chemistry |
Catenation is defined as:
A. formation of double bond between carbon atoms.
B. linking of carbon atoms with of atoms other elements.
C . indefinite linking of carbon atoms
D. the formation of four covalent bonds by a carbon
atom. | 1 | Chemistry |
End product of fermentation of sugars is
A. Water and carbon dioxide
B. Alcohol and carbon dioxide
c. Carbon dioxide
D. Alcohol | 0 | Biology |
When a horse pulls a cart, the force that helps the horse to move forward is the force exerted by
A. the cart on the horse
B. the ground on the horse
c. the ground on the carttt
D. the horse on the ground | 3 | Physics |
The order of \( [x, y, z]\left[\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right] \) is
\( A \cdot 3 \times 1 \)
B. \( 1 \times 1 \)
c. \( 1 \times 3 \)
D. \( 3 \times 3 \) | 2 | Maths |
The n-side of the depletion layer of a p-n junction.
A. Always has same width as of the p-side
B. Has no bound charges
c. Is negatively charged
D. Is positively chargedd | 3 | Physics |
If the equation \( a x^{2}+2 b x+c=0 \) has
real roots, \( a, b, c \) being real numbers
and if \( m \) and \( n \) are real number such
that \( m^{2}>n>0 \) then show that the
equation \( a x^{2}+2 m b x+n c=0 \) has
real roots. | 2 | Maths |
The interparticle forces between linear chains in Nylon - 6,6
are
A. hydrogen bonds
B. covalent bonds
c. ionic bonds
D. coordinate bonds | 1 | Chemistry |
If \( \boldsymbol{y}=\log _{e}\left(\frac{\boldsymbol{x}^{2}}{e^{2}}\right), \) then \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}} \) equals
\( A \cdot-\frac{1}{x} \)
B. \( -\frac{1}{x^{2}} \)
c. \( \frac{2}{x^{2}} \)
D. \( -\frac{2}{x^{2}} \) | 2 | Maths |
\( \$ \$ \operatorname{lint}|,| \operatorname{left}\left[x \sin ^{\wedge}\{-1\} x \mid, \text { lleft } \mid\{1\right. \)
\( \left|\operatorname{sqrt}\left\{\left(1|,-|, \mathbf{x}^{\wedge} 2\right\}|,| r i g h t \mid\right\} \wedge\{-1\}\right| \)
|right \( ] \wedge \mid, \$ \$ d x \) | 2 | Maths |
The metal oxide which cannot be
reduced to metal by carbon is
A \( . Z n O \)
в. \( F e_{2} O_{3} \)
\( c . P b O \)
D. \( A l_{2} O_{3} \) | 1 | Chemistry |
Which of the following property is not a thermodynamic property of the system?
A. pressure
B. temperature
c. specific volume
D. heat | 1 | Chemistry |
Differentiate with respect to \( x \) :
\( \frac{3 x^{2} \sin x}{\sqrt{7-x^{2}}} \) | 2 | Maths |
An artificial satellite in the presence of frictional forces will move into an orbit
closer to the earth and may have increased kinetic energy. Explain this. | 3 | Physics |
Which of the following compound cannot be thermally decomposed even
at high temperature?
A. \( C s H C O_{3} \)
в. \( R b_{2} C O_{3} \)
\( \mathrm{c} \cdot L i_{2} \mathrm{CO}_{3} \)
D. \( \left(N H_{4}\right)_{2} C O_{3} \) | 1 | Chemistry |
Find the equation of all lines having slope 2 and being tangent to the curve \( \boldsymbol{y}+\frac{\mathbf{2}}{\boldsymbol{x}-\mathbf{3}}=\mathbf{0} \) | 2 | Maths |
Which of the following processes produces a decrease of the entropy of the system?
A. Dissolving sodium chloride in water
B. Sublimation of naphthalene
c. Dissolving oxygen in water
D. All of these | 1 | Chemistry |
The real part of \( \left(\frac{1+i}{3-i}\right)^{2}= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B . 16
\( c \cdot 16 \omega^{2} \)
D. \( \frac{-3}{25} \) | 2 | Maths |
When potassium chloride and lead \( (I I) \) nitrate react in an aqueous solution, which of the following terms will be present in the balanced molecular
equation?
A \( \cdot P b C l_{s} \)
B \( \cdot P b_{2} C l_{(s)} \)
\( \mathbf{c} \cdot K N O_{3(a q)} \)
D. \( 2 K N O_{3(a q)} \)
E \( \cdot 2 K C l_{2(s)} \) | 1 | Chemistry |
The radius of hydrogen atom, when it is in its second excited state, becomes:
A . half
B. double
c. four times
D. nine times | 3 | Physics |
Which of the following is an antifreeze?
A. water
B. ether
c. ethyl alcohol
D. aniline | 1 | Chemistry |
Assertion
\( N H_{3} \) and \( C H_{3}^{-} \) both have pyramidal shape.
Reason
\( \mathrm{N} \) in \( N H_{3} \) and \( \mathrm{C} \) in \( C H_{3}^{-} \) both have \( s p^{3} \) hybridisation with one lone pair of electron on each.
A. Assertion is true, Reason is true and Reason is correct explanation for Assertion.
B. Assertion is true, Reason is true and Reason is NOT the correct explanation for Assertion.
c. Assertion is true, Reason is false.
D. Assertion is false, Reason is true | 1 | Chemistry |
When sodium hydroxide solution is added to a freshly prepared solution of ferrous sulphate, a green precipitate of ferrous hydroxide is formed which on standing turns brown because:
A. ferric salts are unstable
B. the mixture becomes dirty
c. ferrous hydroxide becomes ferric oxide
D. green ferrous hydroxide oxidises to brown ferric hydroxide | 1 | Chemistry |
Renewable sources of energy
are produced in nature:
A. biennial
B. annually
c. continuously
D. quarterly | 1 | Chemistry |
Distance of the center of mass of a solid
uniform cone from its vertex is \( z_{0} . \) If the
radius of its base is \( R \) and its height is
\( h \) then \( z_{0} \) is equal to:
A \( \cdot \frac{h^{2}}{4 R} \)
в. \( \frac{3 h}{4} \)
\( c \cdot \frac{5 h}{8} \)
D. \( \frac{3 h^{2}}{8 R} \) | 3 | Physics |
When hydrogen sulphide gas is passed through a blue solution of copper sulphate, a black precipitate of copper sulphide is obtained and the sulphuric acid so formed remains in the solution.
The reaction is an example of:
A. a combination reaction
B. a displacement reaction
c. a decomposition reaction
D. a double displacement reaction | 1 | Chemistry |
Find the radian measures
corresponding to \( 5^{0} 37^{\prime} 0^{\prime \prime} \) | 2 | Maths |
Nodal planes of \( \pi \) bonds in benzene are
located in:
A. molecular plane
B. one in a molecular plane and two in a plane perpendicular to the molecular plane which contains C one in the molecular plane and two in the plane perpendicular to the molecular plane which contains Cone in the molecular plane and two in plane perpendicular to molecular plane which contains \( \mathrm{C} \mathrm{C} \sigma \) bonds
C. one in molecular plane and two in plane perpendicular to molecular plane which contain \( \mathrm{C} \mathrm{C} \sigma \) bond and \( \mathrm{C}-\mathrm{H} \) \( \sigma \) bond.
D. perpendicular to molecular plane which bisect benzene ring in two equal half | 1 | Chemistry |
If \( f(x) \) is a polynomial satisfying
\( \boldsymbol{f}(\boldsymbol{x}) \boldsymbol{f}\left(\frac{1}{x}\right)=\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}\left(\frac{1}{x}\right), \operatorname{and} \boldsymbol{f}(\boldsymbol{3})=\mathbf{8} \mathbf{2} \)
then \( \int \frac{f(x)}{x^{2}+1} d x= \)
A \( \cdot x^{3}-x+2 \tan ^{-1} x+c \)
B. \( \frac{1}{3} x^{3}-x+\tan ^{-1} x+c \)
c. \( \frac{x^{3}}{3}-x+2 \tan ^{-1} x+c \)
D. \( \frac{1}{3} x^{3}+x+2 \tan ^{-1} x+c \) | 2 | Maths |
Na \( C l \) and \( C a C l_{2} \) are added to fused
\( M g C l_{2} \) in the electrolysis of \( M g C l_{2} \) so
that
A. melting point is decreased and conductivity is increased
B. melting point is increased and conductivity is decreased
c. melting point and conductivity both are decreased
D. melting point and conductivity both are increased | 1 | Chemistry |
In an AC generator, maximum number
of lines of force pass though the coil when the angle between the plane of coil and lines of force is :
A \( \cdot 0^{\circ} \)
B. 60
\( c \cdot 30 \)
D. \( 90^{\circ} \) | 3 | Physics |
Condensed solid produced during sublimation is:
A. crystals
B. sublimate
c. residue
D. insoluble | 3 | Physics |
The wavelength of light visible to eye is of the order of
\( \mathbf{A} \cdot 10^{-4} m \)
B. \( 10^{-8} \mathrm{m} \)
\( \mathbf{c} \cdot 10^{-10} m \)
D. \( 10^{-7} m \) | 3 | Physics |
A condenser is charged and then battery is removed. A dielectric plate is put
between the plates of condenser, then correct statement is
A. Q is constant, v and U decrease
B. Q is constant, V increases U decreases
c. Q increases, v decreases U increases
D. \( Q, v \) and \( U \) increase | 3 | Physics |
Histone proteins are associated with
A. DNA
B. mRNA
c. rRNA
D. snRNA
E. tRNA | 0 | Biology |
When two coins are tossed and a
cubical dice is rolled, then the total
outcomes for the compound event is
A . 48
B. 52
\( c .36 \)
D. 24 | 2 | Maths |
Two positive charges \( q \) and \( q \) are placed at
the diagonally opposite corners of a square and two negative charges \( -q \) and
\( -q \) are placed at the other two corners of the square. Then at the centre of the square the resultant electric intensity and the net electric potential Vare
A. \( E \neq 0, V=0 \)
в. \( E=0, V=0 \)
c. \( E=0, V \neq 0 \)
D. \( E \neq 0, V \neq 0 \) | 3 | Physics |
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