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A small metal sphere carrying charge
\( +Q \) is located at the centre of a spherical cavity in a large uncharged metallic
spherical shell. Write the charges on the
inner and outer surfaces of the shell.
Write the expression for the electric
field at the point \( P_{1} \) is \( E=\frac{x Q}{4 \pi \epsilon_{0} r_{1}^{2}} . \) Then
the value of \( x \) is : | 3 | Physics |
Two masses as shown are suspended
from a massless pulley. Calculate the
acceleration of the 10 kg mass when
masses are left free
\( \mathbf{A} \cdot \frac{2 g}{3} \)
B. \( \frac{g}{3} \)
c. \( \frac{g}{9} \)
\( D \cdot \underline{g} \) | 3 | Physics |
The figure shows a mechanical set-up.
The mechanism can be suitably
described as :
A. conversion of the rotational motion of crank into
linear motion of slider
B. conversion of linear motion of slider into the
rotational motion of crank
c. conversion of the rotational motion of slider into
linear motion of crank.
D. conversion of linear motion of crank into the rotational motion of slider | 3 | Physics |
If \( \boldsymbol{A}=\left[\boldsymbol{a}_{i j}\right]_{2 \times 2} \) and \( \boldsymbol{a}_{i j}=\boldsymbol{i}+\boldsymbol{j}, \) then \( \boldsymbol{A}= \)
\( A \cdot\left(\begin{array}{l}12 \\ 3\end{array}\right) \)
в. \( \left(\begin{array}{c}23 \\ 3\end{array}\right) \)
\( c \cdot\left(\begin{array}{cc}2 & 3 \\ 4 & 5\end{array}\right) \)
D. \( \left(_{6}^{4} \begin{array}{r}5 \\ \end{array}\right) \) | 2 | Maths |
Particles in water at \( 273 \mathrm{K} \) have
energy as compared to particles in ice at the same temperature.
A . less
B. more
c. same
D. Can't say | 1 | Chemistry |
Find the values of other trigonometric
function \( (\sin , \cos , \tan ) \) in each of the
following problems
i) \( \sin \theta=3 / 5: \theta \) in \( I^{s t} \) quadrant
ii) \( \cos \theta=-1 / 2: \theta \) in \( I I^{s t} \) quadrant
iii) \( \sin \theta=3 / 4: \theta \) in \( I I I^{s t} \) quadrant \( \$ \$ \) | 2 | Maths |
The wavelength of light is 8000 A. The no. of photon required to provide 20 J of energy is approximately:
A \( \cdot 4.56 \times 10^{18} \)
B . \( 8 \times 10^{19} \)
c. \( 7 \times 10^{19} \)
D. \( 4 \times 10^{7} \) | 1 | Chemistry |
When viewing through a compound microscope, our eye should be
positioned not on the eye-piece but a short distance away from it for best viewing why? How much should be that short distance between the eye and eyepiece? | 3 | Physics |
Which of the following has \( \boldsymbol{p} \boldsymbol{\pi}-\boldsymbol{d} \boldsymbol{\pi} \)
bonding?
A \( . N O_{3}^{-} \)
в. \( S O_{3}^{2} \)
\( \mathrm{c} \cdot B O_{3}^{3-} \)
D. \( C O_{3}^{2-} \) | 1 | Chemistry |
\( \vec{y} \)
類 4 | 0 | Biology |
Show that the function \( f \) fiven below by:
\( \left\{\begin{array}{ll}\frac{e^{1 / x}-1}{e^{1 / x}+1} & , \text { if } x \neq 0 \\ -1 & , \text { if } x=0\end{array} \) is discontinuous at \right.
\( \boldsymbol{x}=\mathbf{0} \) | 2 | Maths |
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cc}\frac{x^{2}-2 x-3}{x+1^{2}}, & \text { when } x \neq-1 \\ k, & \text { when } x=-1\end{array}\right. \)
If \( f(x) \) is continuous at \( x=-1 \) then
\( \boldsymbol{k}=? \)
A . 4
B. -4
c. -3
D. | 2 | Maths |
The most important muscular structure in respiratory system of rabbit is
A. External intercostal muscles
B. Internal intercostal muscles
c. Diaphgram
D. Vertebral column | 0 | Biology |
Three unbiased coins are tossed. What
is the probability of getting at most two tails or two heads?
\( A \cdot \frac{3}{2} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{5}{2} \)
D. \( \frac{7}{2} \) | 2 | Maths |
f \( \boldsymbol{A}=[\mathbf{2}, \mathbf{4}, \mathbf{5}], \boldsymbol{B}=[\mathbf{7}, \mathbf{8}, \mathbf{9}] \) then \( \boldsymbol{n}(\boldsymbol{A} \times \)
\( B \) ) is equal to? | 2 | Maths |
If the line \( (2 x+y+1)+\lambda(x-y+ \)
1) \( =0 \) is parallel to \( y-a x i s \) then value
of \( \lambda \) is \( ? \)
A .
B. -
\( c \cdot \frac{1}{2} \)
\( D \) | 2 | Maths |
Calculate the solid angle subtended by an octant of a sphere at the centre of the
sphere
A \( \cdot \frac{\pi}{4} \)
в. \( \frac{\pi}{3} \)
\( c \cdot \frac{\pi}{2} \)
\( D \) | 3 | Physics |
Which of the following is a source of income of the Gram Panchayats?
A. Income Tax
B. Sales Tax
c. Professional Tax
D. Levy duties | 2 | Maths |
\( \text { If }\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a} \sec \boldsymbol{x}-\boldsymbol{b} \tan \boldsymbol{x}, \boldsymbol{a}\rangle \boldsymbol{b}\rangle \boldsymbol{0}, \) then
the minimum value of \( f(x) \) is
A \( \cdot \sqrt{a^{2}+b^{2}} \)
B. \( 2 \sqrt{a^{2}-b^{2}} \)
c. \( \sqrt{a^{2}-b^{2}} \)
D. \( a-b \) | 2 | Maths |
An object is resting upon a table, the normal force on the object is
and in direction to the
gravitational force applied on the object. Fill in the blank.
A. equal,opposite
B. unequal,opposite
c. equal,in the same
D. unequal,in the same | 3 | Physics |
Find \( \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A}) \) when \( \boldsymbol{P}(\boldsymbol{A})= \)
\( \frac{\mathbf{5}}{\mathbf{1 1}}, \boldsymbol{P}(\boldsymbol{B})=\frac{\mathbf{6}}{\mathbf{1 1}} \) and \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\frac{\mathbf{7}}{\mathbf{1 1}} \) | 2 | Maths |
A shopkeeper sells 6 more products in February compared to January. If the shopkeeper sells \( 15 \% \) more products in February than in January, what is the total amount of products he sold in February?
A . 25
B . 29
c. 16
D. 46 | 2 | Maths |
Find the value of \( a \) if \( f(x)=2 e^{x}- \)
\( a e^{-x}+(2 a+1) x-3 \) is increasing for
all values of \( x \) | 2 | Maths |
The coefficient of \( x \) in the expansion of
\( \left(1-x-x^{2}+x^{3}\right)^{6} \) is ?
\( A \cdot 6 \)
B. -6
c. -12
D. 12 | 2 | Maths |
How many positional isomers would result on dichlorination of \( 2,4- \)
dimethylpentane? | 1 | Chemistry |
Evaluate the given integral.
\( \int \frac{1}{\cos x-\sin x} d x \) | 2 | Maths |
87,78,69
Write the next
number of the series.
A . 26
B. 60
c. 12
D. zero | 2 | Maths |
Which can reduce \( R C O O H \longrightarrow \)
\( R C H_{2} O H ? \)
A \( . \) NaBH \( _{4} \)
в. \( N a / C_{2} H_{5} O H \)
c. \( B H_{3} / T H F / H_{3} O^{+} \)
D. \( H_{2} / \) catalyst | 1 | Chemistry |
The wavelength of monochromatic light is \( 6000 A^{0} . \) Write this value in \( n m \) | 3 | Physics |
The area of a man's foot is \( 80 \mathrm{cm}^{2} . \) How
much pressure will the man exert on
the ground, while standing, if weight is
80kgf? | 3 | Physics |
A woman buys toffees at Rs 2.50 a
dozen and an equal number at Rs. 3 a score. She sells them at Rs. 3.60 a score
and thus makes a profit of Rs. 10. How many toffees did she buy?
A . 10000
B. 12000
c. 5000
D. 6000 | 2 | Maths |
Which of the following hydrogen like species will have same radius as that of
a Bohr orbit of hydrogen atom?
A \( \cdot n=2, L i^{2+} \)
B . \( n=2, B e^{3+} \)
C \( \cdot \mathrm{n}=2, \mathrm{He}^{+} \)
D. \( n=3, L i^{2+} \) | 1 | Chemistry |
The parallel plate capacitors with different distance between the plates
are connected in parallel to voltage
source as shown in the figure. A point
positive charge is moved from a point
that is exactly in the middle between
the plates of the capacitor \( c_{1} \) to a point
2 in capacitor \( c_{2} \) that lies at the plates
of \( c_{1} \). Then the work done by the electric
force is.
A. positive
B. negative
c. zero
D. data insufficient. | 3 | Physics |
When a real gas show behaviour same as ideal gas:
A. At low temperature and low pressure
B. At high temperature and high pressure
C. At low temperature and high pressure
D. At high temperature and low pressure | 1 | Chemistry |
The orbital angular momentum of an
electron in 2 s orbitals is:
A \( \cdot+\frac{1}{2} \frac{h}{2 \pi} \)
B. zero
\( c \cdot \frac{h}{2 \pi} \)
D. \( \sqrt{2} \frac{h}{2 \pi} \) | 1 | Chemistry |
Iron
(III) oxide on heating with carbon
monoxide gas form solid iron and liberates carbon dioxide gas. This is a:
A. precipitation reaction
B. double decomposition reaction
c. synthesis reaction
D. redox reaction | 1 | Chemistry |
Sodium hexametaphosphate is known
as:
A. Calgon
B. Permutit
c. Natalite
D. Nitrolim | 1 | Chemistry |
A fair price shopkeeper takes \( 10 \% \) profit on his goods. He lost \( 20 \% \) goods during theft. His loss percent is
A . 12
B. 15
c. 20
D. 25 | 2 | Maths |
Define curie. | 3 | Physics |
Match the compounds in column-I with
their structure given in column-
II. Matching can be one or more than
one. | 1 | Chemistry |
Which system transmits impulses between different parts of the body?
A. Musculoskeletal system
B. Endocrine system
D. Nervous system
E. Reproductive system | 0 | Biology |
\( \bar{a}, \bar{b}, \bar{c} \) are three non-zero vectors such that any two of them are non-collinear. If \( \bar{a}+\bar{b} \) is collinear with \( \bar{c} \) and \( \bar{b}+\bar{c} \) is
collinear with \( \bar{a} \), then what is their sum?
A . -1
B. 0
c. 1
D. 2 | 2 | Maths |
Bicuspid and tricuspid valves are open during
A. Ventricular systole
B. Ventricular diastole
c. Atrial systole
D. Late joint diastole | 0 | Biology |
The ratio of the isothermal elasticity of gas to its adiabatic elasticity is :
\( A \cdot \gamma \)
B. \( \frac{1}{\gamma} \)
c. \( 1-\gamma \)
D. \( \frac{1}{1-\gamma} \) | 3 | Physics |
A circular loop of radius \( 2 \mathrm{cm}, \) is placed in a time varing magnetic field with rate of \( 2 \mathrm{T} / \mathrm{sec} . \) Then induced electric
field in this loop will be
A. 0
B. 0. \( 02 \mathrm{V} / \mathrm{m} \)
\( c \cdot 0.01 v / m \)
D. \( 2 v / m \) | 3 | Physics |
Two identical cycle wheels (geometrically) have different number of spokes connected from center to rim.
One is having 20 spokes and the other
having only 10 (the rim and the spokes are resistanceless). One resistance of
value \( R \) is connected between center
and rim. The current in \( \boldsymbol{R} \) will be
A. double in the first wheel than in the second wheel
B. four times in the first wheel than in the second wheel
c. will be double in the second wheel than that of the first whee
D. will be equal in both these wheels
E . answer required | 3 | Physics |
A man has 7 trousers and 10 shirts How
many different outfits can he wear? | 2 | Maths |
If the percentage of nitrogen in an organic compound is \( 12.5 \% \), then how much of the organic compound should
be taken? so as to produce \( 50 m l \) of \( N_{2} \)
at \( 300 K \) and 715 mm pressure. [Aq. tension \( =15 \) mm]
A. \( 0.419 g \)
\( g \)
в. \( 0.0149 g \)
c. \( 0.914 g \)
D. \( 0.941 g \) | 1 | Chemistry |
Why it is more hotter for same distance
over the top of a candle than it in the
side of its flame?
A. Conduction of heat in air is upward
B. Heat is maximum radiated in upward direction
c. Radiation and conduction both contribute in transferring heat upwards
D. convection takes more heat in upward direction | 3 | Physics |
What is the position of centre of gravity
of a cylinder?
A. At the center of base circle
B. At the center of top circle
c. cannot be determined
D. At the mid point on the axis of cylinder | 3 | Physics |
An ecosystem contains
A. only the biotic components of the environment
B. only the energy flow components of an environment
C. both the living organisms and the abiotic components of the environment
D. only the food relationships found m an environment | 0 | Biology |
In case of a virtual and erect image, the magnification of a mirror is :
A. Positive
B. Negative
c. Unity
D. Infinity | 3 | Physics |
If the kinetic energy of a body increases
b \( 4 \% \) the momentum:
A. increases by 2\%
B. increases by 4\%
c. increases by \( 8 \% \)
D. increases by 16\% | 3 | Physics |
Chloroform reacts with oxygen in the presence of light to give:
A. carbon tetrachloride
B. carbonyl chloride
c. methyl chloride
D. methylene dichloride
E . acetaldehyde | 1 | Chemistry |
White phosphorus reacts with \( N a O H \)
forming \( P H_{3} \) and \( H_{2} P O_{2}^{-} . \) This is an example of :
A. neutealisation
B. thermal decomposition
c. redox reaction
D. disproportionation | 1 | Chemistry |
Find the range of \( \boldsymbol{f}(\boldsymbol{x})= \) \( \frac{\sin \left(\pi\left[x^{2}+1\right]\right)}{x^{4}+1} \) where [.] is greatest
integer function
A . [0,1]
в. [-1,1]
c. 0
D. None of these | 2 | Maths |
Maximum silk production is in which of the following state?
A. Assam
B. Karnataka
c. Gujarat
D. Kerala | 1 | Chemistry |
A ray of light is incident from one medium \( (\mu=1.5) \) into another medium. If the angle of incidence and
refraction are, respectively, 60 and 45 then what will be the refractive index of the denser medium?
A . 1.63
в. 1.43
c. 1.83
D. Data insufficient | 3 | Physics |
Carbon dioxide is used in fire
extinguisher.
A. True
B. False | 1 | Chemistry |
Two copper rods \( P, Q \) of thickness in the ratio 2: 5 taken. If both the rods \( P, Q \) of
lengths \( 10 \mathrm{cm} \) are heated to same temperature rise, then the ratio of the linear expansions of \( P \) to that of rod \( Q \) is:
A .2: 5
B. 5: 2
\( c \cdot 1: 1 \)
\( D \cdot 4: \) | 3 | Physics |
In the circuit shown, the ammeter
reading is zero. Then, the value of the
resistance R is:
\( A \cdot 50 \Omega \)
B. \( 100 \Omega \)
c. \( 200 \Omega \)
0.4005 | 3 | Physics |
The increasing dipole moments of the
given compounds is:
B. II = IV < III <
c. \( \|=1<1 V<\| \)
D. III <I<II IV | 1 | Chemistry |
Shell fish taken from water during a red tide would be
A. Rich in proteins
B. Poisoned with neurotoxin
c. Dead
D. Rich in fats | 0 | Biology |
The anaerobic respiration is also called
as.
A. Fermentation
B. Fragmentation
c. oxidation
D. Reduction | 0 | Biology |
Exercise:
[ A transverse harmonic wave on a
string is described by \( \boldsymbol{y}(\boldsymbol{x}, \boldsymbol{t})=\mathbf{3} . \mathbf{0} \sin (\mathbf{3 6} \boldsymbol{t}+\mathbf{0 . 0 1 8} \boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) \)
where \( x \) and \( y \) are in \( c m \) and \( t \) in s. The
positive direction of \( x \) is from left to right. For the wave described in the above
Exercise, plot the displacement \( (y) \)
versus
(t) graphs for \( x=0,2 \) and \( 4 \mathrm{cm} \) What are the shapes of these of these
graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another:
amplitude, frequency or phase? | 3 | Physics |
The acceleration of a particle is given by \( \vec{a}=\left\lfloor 2 \hat{i}+6 t \hat{j}+\frac{2 \pi^{2}}{9} \cos \frac{\pi t}{3} \hat{k}\right\rfloor m / s^{2} \)
\( \mathbf{A t} t=\mathbf{0}, \overrightarrow{\boldsymbol{r}}=\mathbf{0} \) and \( \overrightarrow{\boldsymbol{v}}=(\mathbf{2} \overrightarrow{\mathbf{i}}+\hat{\boldsymbol{j}}) \boldsymbol{m} \boldsymbol{s}^{1} \)
The position vector at \( t=2 s \) is
\( \mathbf{A} \cdot(8 \hat{i}+10 \hat{j}+\hat{k}) m \)
B . \( (8 \hat{i}+10 \hat{j}+3 \hat{k}) m \)
c. \( (3 \hat{i}+8 \hat{j}+10 \hat{k}) m \)
D. \( (10 \hat{i}+3 \hat{j}+8 \hat{k}) m \) | 3 | Physics |
Yeast and mushroom are different from
spirogyra because they
A. Cannot carry out photosynthesis
B. Lack cellulosic cell wall
c. Reproduce by sexual methods
D. Are terrestrial as well as aquatic | 0 | Biology |
A transformer connected to 220 volt line
shows an output of \( 2 A \) at \( 11000 V . \) The
efficiency is \( 100 \% \). The current drawn from the line is:
\( \mathbf{A} \cdot 100 A \)
в. \( 200 A \)
\( c .22 A \)
D. \( 11 A \) | 3 | Physics |
Assertion
2,2-Dimethylbutane does not have any
tertiary carbon atom.
Reason Tertiary carbon atom is attached to
three carbon atoms.
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 | 1 | Chemistry |
What are the properties of \( R \) used in the
following? \( \boldsymbol{\pi} \times \mathbf{1}=\boldsymbol{\pi} \) | 2 | Maths |
\( \boldsymbol{L} \) and \( \boldsymbol{M} \) are two points with position vectors \( 2 \bar{a}-\bar{b} \) and \( a+2 \bar{b} \) respectively.
The position vector of the point \( N \) which
divides the line segment \( L M \) in the ratio 2: 1 externally is
\( \mathbf{A} \cdot 3 \bar{b} \)
в. \( 4 \bar{b} \)
\( c .5 \bar{b} \)
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A convex lens forms a real image of a
point object at a distance of \( 50 \mathrm{cm} \) from the convex lens. A concave lens is
placed. \( 10 \mathrm{cm} \) behind the convex lens on the image side. On placed a plane mirror an the image side and facing the concave lens. It is observed that the
final image now coincides with the
object itself. The focal length of the concave lens is:
A. \( 50 \mathrm{cm} \)
B. 20 cm
\( c .40 \mathrm{cm} \)
D. 25 cm | 3 | Physics |
The investment (in ten crores of rupees)
of Life Insurance Corporation of India in different sectors are given below:
Investment sectors rupees
Central Government Securities
State Government Securities
Securities guaranteed by the Government
Private Sectors
Socially oriented sectors (Plan)
Socially orient (Non-Plan)
Represent the above data with the help
of a bar graph. | 2 | Maths |
\( \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{A} \boldsymbol{X}+\boldsymbol{B} \boldsymbol{Y} \longrightarrow \boldsymbol{H} \boldsymbol{A}+\boldsymbol{O} \boldsymbol{Y}+ \)
\( \boldsymbol{X}_{2} \boldsymbol{B} \)
In the above-unbalanced redox
reaction, the oxidation number of \( \boldsymbol{X} \) is
-2 and neither \( X \) nor water is involved
in the redox process. If the above reaction is balanced with
the smallest whole-number
coefficients, the sum of the
stoichiometric coefficients of all the
compounds is :
\( A \cdot 9 \)
B. 8
\( c .7 \)
D. 6 | 1 | Chemistry |
An electrolysis of a oxytungsten complex ion using \( 1.10 A \) for 40 min produces \( 0.838 g \) of tungsten. What is the charge of tungsten in the material? (Atomic weight: \( \boldsymbol{W}=\mathbf{1 8 4} \) )
A . 6
B. 3
\( c .5 \)
D. | 1 | Chemistry |
The distances of Neptune and Saturn
from the Sun are respectively \( 10^{13} \) and
\( 10^{12} \) meters and their periodic times
are respectively \( T_{n} \) and \( T_{S} \). If their orbits are assumed to be circular, the value of \( \frac{T_{n}}{T_{S}} \) is :
A. 100
в. \( 10 \sqrt{10} \)
c. \( \frac{1}{10 \sqrt{10}} \)
D. 10 | 3 | Physics |
If \( D_{1} \) and \( D_{2} \) are two \( 3 \times 3 \) diagonal
matrices, then
A. \( D_{1} D_{2} \) is a diagonal matrix
B. \( D_{1}+D_{2} \) is a diagonal matrix
c. \( D_{1}^{2}+D_{2}^{2} \) is a diagonal matrix
D. 1,2,3 are correct | 2 | Maths |
A rope ladder with a length 1 m carrying
a man with a mass \( m \) at its end is
attached to the basket of a balloon with
a mass M. The entire system is in
equilibrium in the air. As the man climbs up the ladder into the balloon,
the balloon descends by a height \( h \). Then the potential energy of the man (in \( J \) ):
A. increases by \( m g(1-h) \)
B. increases by \( m g l \)
c. increases by \( m g h \)
D. increases by \( m g(21-h) \) | 3 | Physics |
A body moving uniformly along a circular path has:
A. a constant speed
B. a constant velocity
c. zero tangential velocity
D. zero radial acceleration | 3 | Physics |
The circuit below shows a 6.0 V battery
In a circuit with three resistors, labeled
1,2 and \( 3 . \) If each resistor has a
resistance of 6.0 ohms, what is the rate
at which energy is used by resistor \( 2 ? \)
\( A \cdot 10 W \)
B. 36.0 W
c. \( 6.0 \mathrm{w} \)
D. \( 24.0 \mathrm{W} \)
E. \( 18.0 \mathrm{w} \) | 3 | Physics |
The molar heat capacity \( \left(C_{p}\right) \) of \( C D_{2} O \)
is 10 cals at \( 1000 K . \) The change in entropy associated with cooling of \( 32 g \)
of \( C D_{2} O \) vapour from \( 1000 K \) to \( 100 K \)
at constant pressure will be:
\( (D=\text { deutrium, at. mass }=2 u) \)
A. -23.03 cal deg \( ^{-1} \)
в. 2.303 саг de \( g^{-1} \)
c. 23.03 cal deg \( ^{-1} \)
D. -2.303 cal de \( g^{-1} \) | 1 | Chemistry |
The number of partial fraction of \( \frac{3 x^{2}+70 x+93}{(x-1)^{4}} \) is
A . 3
B. 4
\( c .5 \)
D. 2 | 2 | Maths |
The equivalent capacitance between \( x \)
and \( y \) is :
\( A \cdot 5 / 6 \mu F \)
B. \( 7 / 6 \mu F \)
\( c \cdot 8 / 3 \mu F \)
D. \( 1 \mu F \) | 3 | Physics |
Moon does not emit light yet it is visible Choose the most appropriate reason behind it :
A. At night the moon starts emitting light because the moon is covered by sun at night
c. Both are true
D. None is true | 3 | Physics |
Arrange the following physical quantities in the decreasing order of dimension of length.
I. Density
II. Pressure
III. Power
IV. Impulse
\( \mathbf{A} \cdot \) ।, ॥, ॥ा, ।V
B. ॥II, II, I, IV
c. \( 1 \mathrm{V}, \) । ॥ \( , \) ॥)
D. III, IV, II, I | 3 | Physics |
Q Type your question-
(a) Colour the map as follows: BlueWater, Red-Fire station, Orange-Library,
Yellow-Schools, Green-park, PinkCollege, Purple-Hospital, BrownCemetery.
(b) Mark a green \( ^{\prime} X^{\prime} \) at the intersection
of Road \( ^{\prime} C^{\prime} \) and Nehru Road, Green \( ^{\prime} Y^{\prime} \)
at the intersection of Gandhi Road and
Road \( \boldsymbol{A} \)
(c) In red, draw a short street route from
Library to the bus depot.
(d) Which is further east, the city park
or the market?
(e) Which is further south, the primary
school or the Sr. Secondary School? | 2 | Maths |
Three right angled prisms of refractive
indices \( \mu_{1}, \mu_{2} \) and \( \mu_{3} \) are joined
together ao that the faces of the middle
prism are each in contact with one of
the outside prisms. If the ray passes through the composite block undeviated, then
A \( \cdot 1+\mu_{2}^{2}=\mu_{1}^{2}+\mu_{3}^{2} \)
B \( \cdot \mu_{1}^{2}-\mu_{3}^{2}+\mu_{2}^{3}=1 \)
C. \( \mu_{1}^{2}-\mu_{3}^{2}-\mu_{2}^{3}=1 \)
D \( \cdot \mu_{2}^{2}+\mu_{3}^{3}-\mu_{2}^{1}=1 \) | 3 | Physics |
The photo electric work function for a metal surface is 4.125 eV. The cut-off
wavelength for this surface
A \( \cdot 4125 ~ A^{\circ} \)
B. 2062.5 \( A^{\circ} \)
c. \( 3000 A^{\circ} \)
D. 6000A \( ^{\text {о }} \) | 3 | Physics |
A surface \( d s=10 \hat{j} \) is kept in an electric field \( \overrightarrow{\boldsymbol{E}}=\mathbf{2} \hat{\boldsymbol{i}}+\boldsymbol{4} \hat{\boldsymbol{j}}+7 \hat{\boldsymbol{k}} . \) How much
electric flux will come out through the surface?
A . 40 unit
B. 50 unit
c. 30unit
D. 20 unit | 3 | Physics |
Find the average speed of the train.
A. \( 20 k m p h \)
B. \( 40 k m p h \)
\( c .60 k m p h \)
D. \( 80 k m p h \) | 3 | Physics |
The critical temperature of water is
higher than that of \( O_{2} \) because the
\( H_{2} O \) molecule has:
A. a fewer electrons than \( O_{2} \)
B. a dipole moment
c. a v shape structure
D. two covalent bonds | 1 | Chemistry |
In which of the following pairs of compounds xenon is involved in \( s p^{3} \) hybridisation:
A. \( X e F_{2}, X e F_{4} \)
в. \( X e F_{2}, X e F_{6} \)
c. \( X e F_{4}, X e F_{6} \)
D. \( X e O_{3}, X e O_{4} \) | 1 | Chemistry |
The gases chlorine, nitrogen, ammonia
and sulphur dioxide are collected under the same conditions of temperature
and pressure. If 20 litres of nitrogen contains 'x' no. of molecules, state the no. of molecules in 20 litres of
ammonia.
A. \( x \)
в. x/2
\( c \cdot x / 4 \)
D. 2x | 1 | Chemistry |
In figure, \( D E F \) is an isosceles triangle
and \( D G \) is the altitude on \( F E \) is \( D G \)
also a median. | 2 | Maths |
Three lenses of power \( +1.5 D \) and
\( -0.5 D \) are kept in contact on their
principal axis. What is the effective power of the combination? | 3 | Physics |
If \( \boldsymbol{u}_{n}= \)
then \( \boldsymbol{u}_{n}=\boldsymbol{a}_{n} \boldsymbol{u}_{n-1}+\boldsymbol{u}_{n-2} \)
f true enter 1 else enter | 2 | Maths |
Number of unpaired electron(s) in \( \boldsymbol{O}_{2} \) is/are: | 1 | Chemistry |
In a reversible process, system goes from an initial state \( A \) to a final state \( B \)
Which of the following is true?
A. The heat required from state A to state B is zero.
B. The work done from state A to state B is zero
c. The heat required from state A to state B and back to state A is zero
D. The heat required from state A to state B and back to state A is non-zero | 3 | Physics |
If an air bubble rises from the bottom of
the lake to its surface at constant
temparature, its volume
A . decreases
B. increases
c. remain same
D. can't say | 3 | Physics |
Active transport? | 0 | Biology |
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