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Two cells of same emf are connected in
series. Their internal resistances are \( r_{1} \)
and \( r_{2} \) respectively and \( r_{1}>r_{2} . \) When
this combination is connected to an
external resistance \( R \) then the potential difference between the terminals of first
cell becomes zero. In this condition the
value of R will bw
A \( \cdot \frac{r_{1}-r_{2}}{2} \)
B. \( \frac{r_{1}+r_{2}}{2} \)
c. \( r_{1}-r_{2} \)
D. \( r_{1}+r_{2} \)
| 3 |
Physics
|
The oxidation number of Mn in the
product of alkaline oxidative fusion of
\( M n O_{2} \) is:
| 1 |
Chemistry
|
Bentham and Hooker classified dicots
into
A. Polypetalae, gamopetale and glumiflorae
B. Polypetalae, gamopetalae and monochlamydae
C. Archichlamydae, monochalmydae and glumiflorae
D. Lignosae and herbaceae
| 0 |
Biology
|
A stone tied at the end of string \( 80 \mathrm{cm} \) long is whirled in a horizontal circle
with a constant speed. If the stone makes 25 revolutions in 14 s, what is
the magnitude of acceleration of the
stone?
A \( .90 m s^{-2} \)
B. \( 100 \mathrm{ms}^{-2} \)
\( \mathbf{c} \cdot 110 m s^{-2} \)
D. \( 120 \mathrm{ms}^{-2} \)
| 3 |
Physics
|
The quantity of heat required by 1 gram of a substance to raise its temperature by \( 1 \mathrm{K} \) is called its specific heat. State whether given statement is True/False
A. True
B. False
| 3 |
Physics
|
Two organisms are present in the same class but not in the same family. They may belong to same.
A. Genus
B. species
c. Variety
D. Order
| 0 |
Biology
|
In a circle of radius \( 5 \mathrm{cm}, \mathrm{AB} \) and \( \mathrm{AC} \) are
two chords. such that \( A B=A C= \)
\( 6 \mathrm{cm} . \) Find the length of chord BC.
| 2 |
Maths
|
Determine the shape of the following molecules using the VSEPR model.
\( B e C l_{2}, B C l_{3}, S i C l_{4}, A s F_{5}, H_{2} S a n d \)
| 1 |
Chemistry
|
Copper dissolves in hydrochloric acid.
State the given statement is True or False:
A. True
B. False
| 1 |
Chemistry
|
The current I in the circuit shown below
is
\( \mathbf{A} \)
\( B \cdot \frac{1}{15} A \)
\( c \cdot \frac{1}{10} A \)
\( D \cdot \frac{1}{2} \)
| 3 |
Physics
|
If the determinant \( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{a} \boldsymbol{t}-\boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{b} \boldsymbol{t}-\boldsymbol{c} \\ \boldsymbol{2} & \boldsymbol{1} & \boldsymbol{0}\end{array}\right|=0 \)
if \( a, b, c \) are in
A. \( A . P \)
в. G.Р.
c. \( H . P \)
D. \( k=1 / 2 \)
| 2 |
Maths
|
The maximum load a wire can
withstand without breaking, when its length is reduced to half of its original length, will
A. be double
B. be half
c. be four times
D. remains same
| 3 |
Physics
|
The minimum value of \( \boldsymbol{f}(\boldsymbol{x})= \) \( 2^{\log _{8}^{3} \cos ^{2} x}+3^{\log _{8}^{2} \sin ^{2} x} \)
A \( \cdot 2^{1-\log _{8} \sqrt{3}} \)
B \( \cdot 2^{\log _{8} \sqrt{3}} \)
c. \( 3^{\log _{8} \sqrt{2}} \)
D. \( 2^{1+\log _{8}} \sqrt{3} \)
| 2 |
Maths
|
A train travels from one station \( X \) to
another station \( Y \) at a rate of \( 20 \mathrm{km} / \mathrm{hr} \)
and returns at the rate of \( 30 \mathrm{km} / \mathrm{hr} \). The
average speed of the total journey is
\( \mathbf{A} \cdot 25 \mathrm{km} / \mathrm{hr} \)
B. \( 24 \mathrm{km} / \mathrm{hr} \)
\( \mathbf{c} .35 \mathrm{km} / \mathrm{hr} \)
D. \( 40 \mathrm{km} / \mathrm{hr} \)
| 3 |
Physics
|
Find the volume of hemisphere of
radius \( 3.5 \mathrm{cm} \)
| 2 |
Maths
|
Fleming's left hand rule tells us about
direction of magnetic force due to
current in magnetic field, but what is its magnitude?
| 3 |
Physics
|
The product in the following reaction is:
\( \boldsymbol{P h}-\boldsymbol{C l}+\boldsymbol{F e} / \boldsymbol{B r}_{2} \longrightarrow \) Product
A . o-bromo-chloro benzene
B. p-bromo-chloro benzene
c. both of the above
D. 2,4,6-tribromo chloro benzene
| 1 |
Chemistry
|
A solution contains \( \boldsymbol{H} \boldsymbol{C l} \)
\( C l_{2} H C C O O H \) and \( C H_{3} C O O H \) at
concentrations \( 0.09 M \) in \( H C l, 0.09 M \)
in \( C l_{2} H C C O O H \) and \( 0.1 M \) in
\( C H_{3} C O O H, p H \) for the solution is 1
lonization constant of \( C H_{3} C O O H= \)
\( 10^{-5} . \) What is the magnitude of \( K \) for
dichloroacetic acid?
A \( \cdot k a_{2}=1.25 \times 10^{-2} \)
В . \( k a_{2}=1.25 \times 10^{-1} \)
D. \( k a_{2}=1.25 \times 10^{-3} \)
| 1 |
Chemistry
|
The distance between the plates of a charged parallel plate capacitor is \( 5 \mathrm{cm} \) and electric field inside the plates is
\( 200 V c m^{-1} . \) An uncharged metal bar of width \( 2 \mathrm{cm} \) is fully immersed into the
capacitor. The length of the metal bar is same as that of capacitor. The voltage across capacitor after the immersion of the bar is:
A. zero
B. \( 400 \mathrm{V} \)
c. \( 600 V \)
D. \( 100 V \)
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{0} & \mathbf{2} & \mathbf{3} \\ \mathbf{3} & \mathbf{5} & \mathbf{7}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{3} & \mathbf{7} \\ \mathbf{2} & \mathbf{4} & \mathbf{1}\end{array}\right] \)
if \( \boldsymbol{A}+\boldsymbol{B}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{5} & \mathbf{1 0} \\ \mathbf{5} & \boldsymbol{k} & \mathbf{8}\end{array}\right] \)
Find the value of \( \mathbf{k} \)
\( A \cdot 9 \)
B. 4
\( c \cdot 5 \)
\( D \)
| 2 |
Maths
|
Rashmi bought a CD player for Rs. 2200
and sold it for Rs. \( 1980 . \) Find her loss
and loss \%.
| 2 |
Maths
|
Angle of dip is \( 90^{\circ} \) at:
A. Equator
B. Middle point
c. Poles
D. None of these
| 3 |
Physics
|
If \( S=1^{2}-2^{2}+3^{2}-4^{2} \dots \) upto \( n \)
terms and \( n \) is even, then \( S \) equals
A \( \cdot \frac{n(n+1)}{2} \)
B. \( \frac{n(n-1)}{2} \)
c. \( \frac{-n(n+1)}{2} \)
D. \( \frac{-n(n-1)}{2} \)
| 2 |
Maths
|
The solution which has \( p H \) less than 7
¡s:
A. solution of caustic soda in water
B. solution of common soda in water
C. solution of blue vitriol in water
D. solution of baking soda in water
| 1 |
Chemistry
|
Which one is not correctly matched?
A. Mucor- Autotroph
B. Orobanche-Root parasite
c. cuscuta- stem parasite
D. Drosera- Insectivore
| 0 |
Biology
|
As per 2011 census literacy rate in India
is
A . 54.16\%
в. 85.85\%
c. 74.04\%
D. 63.80\%
| 0 |
Biology
|
The specific heat of an ideal gas depends on temperature is-
A \( \cdot \frac{1}{T} \)
в. \( T \)
c. \( \sqrt{T} \)
D. Does not depend on temperature
| 3 |
Physics
|
An electric dipole of moment 'p' is placed in an electric field of intensity 'E'. The dipole acquires a position such that the axis of the dipole makes an angle \( \theta \) with the direction of the field. Assuming that the potential energy of the dipole to be zero when \( =90^{0}, \) the torque and the
potential energy of the dipole will respectively be
A. \( p E \sin \theta, p E \cos \theta \)
B. \( p E \sin \theta,-2 p E \cos \theta \)
c. \( p E \sin \theta, 2 p E \cos \theta \)
D. \( p E \cos \theta,-p E \cos \theta \)
| 3 |
Physics
|
Fossils of Pithecanthropus have been recovered from
A. China
B. Germany
c. Java
D. Japan
| 0 |
Biology
|
Fill in the blank space by choosing the correct word.
Coal and petroleum are commonly called fuels.
A . renewable
B. biomass
c. fossil
D. tidal
| 3 |
Physics
|
Determine the number of significant figure in the following.
\( 3.64 \times 10^{45} \mathrm{kg} \)
| 3 |
Physics
|
In a particular week the average
number of people visited the museum is \( 70 . \) If we exclude the holidays then the average number is increased by 28 Further if we exclude the day which the maximum of 210 visitors visited the
museum, then the average become 40 Find the no of holidays in the week
| 2 |
Maths
|
Identify the physical change in the following:
A. Reaction of zinc metal with dilute sulphuric acid
B. Formation of solutions of soluble substances in water
c. Burning of coal
D. Photosynthesis
| 1 |
Chemistry
|
A car starts from rest and accelerates
as shown in the accompanying
diagram. At what time would the car be
moving with the maximum velocity?
A. 2 seconds
B. 4 seconds
c. 6 seconds
D. 8 seconds
| 3 |
Physics
|
What vector when added to \( (2 \hat{i}-2 \hat{j}+ \)
\( \hat{\boldsymbol{k}}) \) and \( (\mathbf{2} \hat{\boldsymbol{i}}-\hat{\boldsymbol{k}}) \) will give a unit vector
along negative \( y- \) axis?
| 2 |
Maths
|
The efficiency of drip irrigation is around:
A . \( 40 \% \)
B. 85\%
c. 20\%
D. 100\%
| 1 |
Chemistry
|
The model class for the following
frequency distribution is
\begin{tabular}{lllll}
Marks & \( 0- \) 10 & \( 10- \) 20 & \( 20- \) 40 & \( 40- \) 50 \\
Number of students & 4 & 6 & 14 & 16 \\
\hline
\end{tabular}
A. \( 20-40 \)
B . \( 40-50 \)
\( \mathbf{c} .50-60 \)
D. \( 70-90 \)
| 2 |
Maths
|
Presence of furcula is a characteristic
feature 'of
A . Frogs
B. Reptiles
c. Birds
D. Mammals
| 0 |
Biology
|
The Keto form of phenol contains:
A. \( 3 \pi, 13 \sigma, 4 \) non-bonding electrons
B. \( 4 \pi, 15 \sigma, 3 \) non-bonding electrons
C. \( 3 \pi, 14 \sigma, 4 \) non-bonding electrons
D. \( 2 \pi, 15 \sigma, 6 \) non-bonding electrons
| 1 |
Chemistry
|
In a closed tube when air column is 20
\( \mathrm{cm} \) it is in resonance with tuning fork \( \mathrm{A} \) When the length is increased by \( 2 \mathrm{cm} \) then the air column is in resonance with
tuning fork B. When A and B are sounded together they produce 8 beats per second. The frequencies of the tuning forks \( A \) and \( B \) are \( (\text { in } H z): \)
\( A \cdot 40,44 \)
B. 88, 80
\( c \cdot 80,88 \)
D. 44,40
| 3 |
Physics
|
Evaluate \( \lim _{x \rightarrow 0} f(x), \) where \( f(x)= \)
\( \left\{\begin{array}{ll}|x|, & x \neq 0 \\ 0, & x=0\end{array}\right. \)
| 2 |
Maths
|
How will you identify the sequence is an
infinite geometric progression?
A. An geometric sequence containing finite number of terms
B. An geometric sequence containing infinite number of terms
C. An arithmetic sequence containing infinite number of terms
D. An arithmetic sequence containing finite number of terms
| 2 |
Maths
|
\( f \sin ^{-1}\left(x-\frac{x^{2}}{2}+\frac{x^{3}}{4}-\dots \dots \dots \infty\right)+ \)
\( \cos ^{-1}\left(x^{2}-\frac{x^{4}}{2}+\frac{x^{6}}{4}-\dots \dots \dots \infty\right)=\frac{\pi}{2} \)
and \( 0<x<\sqrt{2} \) then \( x= \)
\( A \cdot \frac{1}{2} \)
B.
\( c \cdot-\frac{1}{2} \)
D. - -
| 2 |
Maths
|
If the bandwidth of a filter increases:
A. Q factor decreases
B. the roll-off rate increases
c. the half-power frequency decreases
D. the center frequency decreases
| 3 |
Physics
|
affect the soil profile and bring changes in soil structure.
A. Vegetation
B. Animals
c. climatic factors
D. Fertilizers
| 1 |
Chemistry
|
Which one of the following is a slime mould?
A. Physarum
B. Thiobacillus
c. Anabaena
D. Rhizopus
| 0 |
Biology
|
Rate of dissipation of Joules heat in resistance per unit volume is (symbols have usual meaning)
A \( . \sigma E \)
в. \( \sigma J \)
\( c . J E \)
D. None
| 3 |
Physics
|
List List - II
A) Polystyrene
\( p \)
Condensation polymer
B) Polythene Thermoplastic polymer
C) Nylon- 6,6
r) Polyamide
D) Terylene
s) Addition
polymer
A \( \cdot(a-q, s),(b-q, s),(c-p, q, r),(d-p) \)
B. \( (a-p),(b-s),(c-p, r),(d-p, q) \)
\( c \cdot(a-s),(b-q),(c-p, r),(d-q) \)
D. \( (a-q),(b-s),(c-r),(d-p, q) \)
| 1 |
Chemistry
|
Figure
(a) shows two plano-convex lenses in contact as shown. The
combination has focal length \( 24 \mathrm{cm} \) Figure (b) shows the same with a liquid introduced between them. If refractive
index of glass of the lenses is 1.50 and that of the liquid is \( 1.60, \) the focal length of system in Fig. (b) will be
(a)
(b)
A \( .-120 \mathrm{cm} \)
В. \( 120 \mathrm{cm} \)
\( \mathbf{c} .-24 c m \)
D. \( 24 c m \)
| 3 |
Physics
|
Three thin prisms are combined as
shown in figure. The refractive indices of the crown glass for red, yellow and
violet rays are \( \mu_{r}, \mu_{y} \) and \( \mu_{v} \)
respectively and those for the flint glass \( \operatorname{are} \mu_{r}^{\prime}, \mu_{y}^{\prime} \) and \( \mu_{v}^{\prime} \) respectively. Find the
\( \frac{A^{\prime}}{\text { for which, there is no net angular }} \)
\( \boldsymbol{A} \)
dispersion.
A \( \cdot \frac{\mu_{y}-1}{\mu_{y}^{\prime}-1} \)
в. \( \frac{2 \mu_{y}-1}{\mu_{y}^{y}-1} \)
c. \( \frac{3 \mu_{y}-1}{\mu_{y}^{y}-1} \)
D. \( \frac{4 \mu_{y}-1}{\mu_{y}^{\prime}-1} \)
| 3 |
Physics
|
A current of \( 9.65 A \) is passed for 3 hours between nickel electrodes immersed in
\( 0.5 \mathrm{dm}^{3} \) solution of concentration \( 2 \mathrm{mol} \)
\( \mathrm{dm}^{-3} \boldsymbol{N i}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \)
The molarity of the solution after electrolysis would be:
\( \mathbf{A} \cdot 0.46 M \)
B. \( 0.92 M \)
c. \( 1.25 M \)
D. \( 0.625 M \)
| 1 |
Chemistry
|
Unpolarised light of intensity
\( 32 W m^{-2} \) passes through three polarizers such that transmission axis of first is crossed with third. If intensity
of emerging light is \( 2 W m^{-2} \), what is the angle of transmission axis between
the first two polarisers?
\( A \cdot 30 \)
B . 45
\( c \cdot 22.5 \)
D. \( 60^{\circ} \)
| 3 |
Physics
|
The most acidic compound among the following is:
A \( \cdot P_{2} O_{3} \)
в. \( S b_{2} O_{3} \)
\( \mathrm{c} \cdot B_{2} \mathrm{O}_{3} \)
D. \( A s_{2} O_{3} \)
| 1 |
Chemistry
|
In the troposphere, the temperature
decreases at the rate of \( 1^{\circ} \) Celsius for
every
A. 100 meters
B. 135 meters
c. 150 meters
D. 165 meters
| 0 |
Biology
|
The hour hand and the minute hands of
a clock are \( 4 \mathrm{cm} \) and \( 6 \mathrm{cm} \) long
respectively Find the sum of distances travelled by their tips in 2 days?
| 2 |
Maths
|
Which of the following helps in protein digestion.
A. Pancreatic juice
B. Saliva
c. Bile
D. Intestinal juice
| 0 |
Biology
|
Where will he have the highest potentia
energy?
A. In water
B. On land
\( c . \) on
D. ons
| 3 |
Physics
|
If \( \vec{b} \) and \( \vec{c} \) are two non colinear vectors such that \( \vec{a} \|(\vec{b} \vec{c}) \) then prove that \( (\vec{a} \vec{b}) \cdot(\vec{a} \vec{c}) \) is equal to \( |\vec{a}|^{2}(\vec{b} \cdot \vec{c}) \)
| 2 |
Maths
|
A ball is thrown vertically upwards from the top of a tower with a velocity of 10 \( \mathrm{m} / \mathrm{sec} . \) If the ball falls on the ground after 5 seconds, the height of the tower will be
\( \left(\text { use } g=10 m / s^{2}\right) \)
\( A \cdot 25 \mathrm{m} \)
B. 50 \( m \)
\( c \cdot 75 m \)
D. 100 \( m \)
| 3 |
Physics
|
In a basket of apples, \( 12 \% \) of them are
rotten and 66 are in good condition. Find the total number of apples in the basket.
A . 75
B. 70
c. 71
D. 80
| 2 |
Maths
|
The orbital speed \( v \) of each moon, such that they maintain the triangular configuration is:
A \( \cdot \sqrt{\frac{G M}{R^{2}}+\frac{G m}{\sqrt{3} R}} \)
B. \( \sqrt{\frac{G M}{R}+\frac{G m}{\sqrt{3} R}} \)
\( ^{\mathrm{c}} \cdot \sqrt{\frac{G M^{2}}{R}+\frac{G m}{\sqrt{3} R}} \)
D. \( \sqrt{\frac{G M}{R}+\frac{G m^{2}}{3 R}} \)
| 3 |
Physics
|
Well water is an example of:
A. surface water
B. rain water
c. underground water
D. river water
| 1 |
Chemistry
|
If \( f(x+1)=3 x-9, \) then what will be
the value of \( f\left(x^{2}-1\right) ? \)
A \( \cdot 3 x^{2}-9 \)
B. \( 3 x^{2}-15 \)
c. \( x^{2}-10 \)
D. \( 3 x^{2}-10 \)
| 2 |
Maths
|
Particle A and B moving in co-planar circular paths centered at O.They are
rotating in the same sense.Time periods of rotation of \( A \) and \( B \) around 0
\( \operatorname{are} \boldsymbol{T}_{A} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{T}_{B}, \) respectively, with \( \boldsymbol{T}_{B}> \)
\( T_{A} . \) Time required for \( B \) to make one
rotation around 0 relative to a is :
A \( \cdot T_{B}-T_{A} \)
в. \( T_{B}+T_{A} \)
c. \( \frac{T_{A} T_{B}}{T_{A}-T_{B}} \)
D. \( \frac{T_{B} T_{A}}{T_{B}-T_{A}} \)
| 3 |
Physics
|
Match the Column I and Column II and
pick the correct matching from the codes given below.
| 1 |
Chemistry
|
A metal rod having a linear coefficient
of expansion \( 2 \times 10^{-5} /^{\circ} \mathrm{C} \) has a length 1
\( \mathrm{m} \) at \( 25^{\circ} \mathrm{C}, \) the temperature at which it is shortened by \( 1 \mathrm{mm} \) is :
\( A \cdot 50^{\circ} \mathrm{C} \)
B. \( -50^{\circ} \mathrm{C} \)
c. \( -25^{\circ} \mathrm{C} \)
D. \( -12.5^{\circ} \mathrm{C} \)
| 3 |
Physics
|
Prove that the area of triangle with vertices \( (\boldsymbol{t}, \boldsymbol{t}-\mathbf{2}),(\boldsymbol{t}+\mathbf{2}, \boldsymbol{t}+\mathbf{2}),(\boldsymbol{t}+ \)
\( \mathbf{3}, \boldsymbol{t} \) ) is independent of \( \mathbf{t} \)
| 2 |
Maths
|
How many consecutive odd numbers are needed to make sum as \( 13^{3} ? \)
A. 11
B . 13
\( c .15 \)
D. 17
| 2 |
Maths
|
Prove that if \( x \) and \( y \) are odd positive
integer, then \( x^{2}+y^{2} \) is even but not
divisible by 4
| 2 |
Maths
|
The value of \( x \) in the figure given below
is
\( A \cdot 2 \mathrm{cm} \)
\( B .1 \mathrm{cm} \)
\( c .2 .5 \mathrm{cm} \)
D. 3 cm
| 2 |
Maths
|
A bicycle tyre in motion has:
A. linear motion only
B. rotatory motion only
c. linear and rotatory motion
D. vibratory motion only
| 3 |
Physics
|
n figure, line \( n \) is a transversal to lines
and \( m \). Identify the following pairs of
interior and exterior angles on the same
side of the transversal in figure.
| 2 |
Maths
|
If \( A+B=C \) and that \( C \) is
perpendicular to \( A \). What is the angle
between \( \boldsymbol{A} \) and \( \boldsymbol{B} \), if \( |\boldsymbol{A}|=|\boldsymbol{C}| \) ?
A \( \cdot \frac{\pi}{4} r a d \)
B. \( \frac{\pi}{2} r a d \)
c. \( \frac{3 \pi}{4} r a d \)
D. \( \pi r a d \)
| 3 |
Physics
|
If the primitive of \( \frac{1}{x^{6}+x^{4}} \) is \( f(x)+ \) \( \frac{1}{x}+g(x) x^{-3}+C, \) then
This question has multiple correct options
A \( \cdot f(x)=\tan ^{-1} x \)
B \( \cdot f(x)=2 \tan ^{-1} x \)
c. \( g(x) \) is a constant function
D. \( g(x)=-1 / 3 \)
| 2 |
Maths
|
If \( L \) and \( R \) denote inductance and
resistance then dimension of \( L / R \) is
\( \mathbf{A} \cdot\left[M^{0} L^{0} T^{0}\right] \)
в. \( \left[M^{0} L^{0} T\right] \)
\( \mathbf{c} \cdot\left[M^{2} L^{0} T^{2}\right] \)
D \cdot \( \left[M L T^{2}\right]^{2} \)
| 3 |
Physics
|
In Kreb's cycle, OAA accepts acetyl CoA
to form
A . Citric acid
B. Oxalosuccinate
c. Fumarate
D. succinyl CoA
| 0 |
Biology
|
If \( \boldsymbol{P}(\boldsymbol{B})=\frac{\boldsymbol{3}}{\boldsymbol{4}}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B} \cap \overline{\boldsymbol{C}})=\frac{1}{3} \) and
\( P(\bar{A} \cap B \cap \bar{C})=\frac{1}{3}, \) then what is
\( \boldsymbol{P}(\boldsymbol{B} \cap \boldsymbol{C}) \) equal to?
A \( \cdot \frac{1}{12} \)
B. \( \frac{3}{4} \)
c. \( \frac{1}{15} \)
D.
| 2 |
Maths
|
Perimeter of \( \triangle A B C \) is \( 14 \mathrm{cm}, \mathrm{AB}=4.5 \mathrm{cm} \)
and \( \angle A=80^{\circ} . \) Construct \( \triangle A B C \)
| 2 |
Maths
|
What is the arithmetic mean of the
progression \( 11,22,33,44,55,66,77 ? \)
A . 44
в. 208
c. 308
D. 48
| 2 |
Maths
|
Solve by using suitable identity: \( a^{4}- \)
\( b^{4}+2 b^{2}-1 \)
| 2 |
Maths
|
A body moves in a straight line along \( Y \)
axis. Its distance \( y \) (in metre) from the
origin is given by \( y=8 t-3 t^{2} \). The
average speed in the time interval from \( t=0 \) second to \( t=1 \) second is
A. \( -4 m / s \)
в. zero
\( \mathbf{c} \cdot 5 m / s \)
D. \( 6 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
\( f(x)=\left\{\begin{array}{c}a \sin \frac{\pi}{2}(x+1), x \leq 0 \\ \frac{\tan x-\sin x}{x^{3}}, x>0\end{array}\right. \)
continuous at \( x=0 . \) Find the value of
\( \boldsymbol{a} \)
| 2 |
Maths
|
Fertilized eggs of Periplaneta americana are encased in
A. Ootheca
B. cocoon
c. Phallomere
D. Genital chamber
| 0 |
Biology
|
What is the chief constituent of Pyrex glass?
A. \( B_{2} O_{3} \)
as
в. \( \operatorname{si} 0_{2} \)
c. \( A l_{2} O_{3} \)
D. \( N a O_{2} \)
| 1 |
Chemistry
|
Given reaction \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{H} \boldsymbol{O} \rightarrow \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O} \boldsymbol{H}+ \)
\( H C O O^{-} \) is an example of
A. intermolecular redox change
B. intramolecular redox change
c. disproportionation or auto redox
D. none of these
| 1 |
Chemistry
|
For what distance ray optics a good approximation when the aperture is 4
\( \mathrm{mm} \) wide and the wavelength is \( 500 n m ? \)
A . \( 32 m \)
B. \( 69 m \)
\( c .16 m \)
D. \( 8 m \)
| 3 |
Physics
|
Foul smell in the water of tanks, ponds
etc., is due to:
A. Anaerobiosis
B. Aerobiosis
c. Biological magnification
D. Psammophytes
| 0 |
Biology
|
Name three groups of plants that bear archegonia. Briefly describe the life cycle of any one of them?
| 0 |
Biology
|
The mentioned equation is in which form?
\( \mathbf{3} \boldsymbol{y}^{2}-\mathbf{7}=\sqrt{\mathbf{3}} \boldsymbol{y} \)
A. linear
B. Quadratic
c. Cubic
D. None
| 2 |
Maths
|
Two identical charged spheres suspended from a common point by two massless strings of length I are initially a distance \( d(d<<I) \) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result the charges approach each other with a velocity v. Then as a function of distance \( x \)
between them
A \( . v \propto x^{-1 / 2} \)
B. \( v \propto x^{-1} \)
\( \mathbf{C} \cdot v \propto x^{1 / 2} \)
D. \( v \propto x \)
| 3 |
Physics
|
Which can be used as reducing agent?
A. Coal tar
B. Coal gas
c. coke
D. All
| 1 |
Chemistry
|
Assertion
Langmuir adsorption isotherm is based on the concept of monolayer adsorption.
Reason At high pressure, the surface is fully occupied by adsorbate molecules and the further increase in pressure does not effect adsorption.
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. Assertion is incorrect but Reason is correct
| 1 |
Chemistry
|
The ....................is used in a clinical
thermometer.
| 3 |
Physics
|
\( \ln C_{4} \) plant \( R u B i s C O \) activate during:
A . Day
B. Night
c. Midnight
D. Remain activated all time
| 0 |
Biology
|
The foot of the perpendicular drawn from the origin to the plane is (2,5,7) Find the equation of the plane.
| 2 |
Maths
|
Construct a \( 2 \times 2 \) matrix \( A=\left[a_{i j}\right] \)
whose element \( a_{i j} \) is \( a_{i j}=\frac{(i-j)^{2}}{2} \)
| 2 |
Maths
|
A block strikes the free end of a
horizontal spring with the other end fix, placed on a smooth surface with a
speed \( v . \) After compressing the spring by \( x, \) the speed of the block reduce to
half. Calculate the maximum
compression of the spring.
| 3 |
Physics
|
In Acheson's process 'A' is heated with silica in an electrical furnace at \( 3700 \mathrm{K} \)
to obtain an intermediate 'B' and finally
to give 'C' and 'D'.'D' goes out as vapour. Then:
A \( \cdot \) 'A' is an element and 'B's its oxide
B. 'B'is an oxide and 'C' is an element
c. 'A' and 'C' are allotropes
D. 'B' and 'C' are allotropes
| 1 |
Chemistry
|
A satellite is orbiting the earth. Its speed is more at point \( \mathrm{B} \) as compared to point A. Which of the following statements are true?
I. The gravitational force is greater at \( \mathrm{B} \)
than at \( \mathbf{A} \)
II. The speed is greater at \( \mathrm{B} \) than at \( \mathrm{A} \)
III. The kinetic energy is greater at \( \mathrm{B} \) than at \( A \)
IV. The angular momentum is greater at
\( B \) than at \( A \)
A. I only
B. I and II only
c. ॥ only
D. I, II and III only
E . ।, ॥।, ॥I।, IV
| 3 |
Physics
|
A particle of small mass \( m \) is joined to
a very heavy body of mass \( M \) by a light
string passing over a light pulley. Both
bodies are free to move. The total
downward force on the pulley is nearly
A . \( m g \)
в. \( 2 m g \)
c. \( 4 m g \)
D. Can not be determined
| 3 |
Physics
|
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