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Name the kinds of cells found in the
following places:
This question has multiple correct options
A. Surface of the human skin
B. Salivery gland
c. Brain
D. Inner lining of the wind pipe
| 0 |
Biology
|
Quadrilateral JUMP
\( J U=3.5 \mathrm{cm} \)
\( \mathrm{UM}=4 \mathrm{cm} \)
\( \mathrm{MP}=5 \mathrm{cm} \)
\( P J=4.5 \mathrm{cm} \)
\( P U=6.5 \mathrm{cm} \)
| 2 |
Maths
|
Alkyl isocyanides \( \left(R N \oplus \equiv C^{\ominus}\right) \) are
reduced to \( 2^{\circ} \) amines \( \left(R-N H-C H_{3}\right. \)
with:
\( \mathbf{A} \cdot L A H \)
в. \( N a B H_{4} \)
c. \( H I+P \)
D. \( H_{2} / P t \)
| 1 |
Chemistry
|
State following are True or False
If \( m=n=p \) and the groups have identical qualitative characterstic then the number of groups \( =\frac{(3 n) !}{n ! n ! n ! 3 !} \)
Note : If 3n different things are to be
distributed equally three people then the number of ways \( =\frac{(3 n) !}{(n !)^{3}} \)
A . True
B. False
| 2 |
Maths
|
Mode of the following frequency
distribution
\( \begin{array}{lccccc}\mathrm{x}: & 4 & 5 & 6 & 7 & 8 \\ \mathrm{f}: & 6 & 7 & 10 & 8 & 3\end{array} \)
A. 5
B. 6
\( c \cdot 8 \)
D. 19
| 2 |
Maths
|
The number of atoms present in 100 grams of sodium is:
B . \( 0.6182 \times 10^{24} \)
c. \( 2.6182 \times 10^{24} \)
D. 2.6182 \( \times 10^{20} \)
| 1 |
Chemistry
|
\( \operatorname{cis}\left[\operatorname{Co}(e n)_{2} C l_{2}\right]^{+} \) can have \( d \) and \( l \)
optical isomers
A. True
B. False
| 1 |
Chemistry
|
If \( \frac{2 x+A}{(x-3)(x+2)}=\frac{9}{5(x-3)}+ \)
\( \frac{B}{(x+2)}, \) then
This question has multiple correct options
\( \mathbf{A} \cdot A=3 \)
B. \( B=5 \)
c. \( _{A}=\frac{1}{3} \)
D. \( B=\frac{1}{5} \)
| 2 |
Maths
|
The figure shows an assembly
consisting of a number of pendulums of
varying lengths. The driver pendulum is pulled aside and released so that it
oscillates in a plane perpendicular to
that of the diagram.
It will be observed that :
A. all pendulums oscillate with the frequency of the driver pendulum and have the same amplitude.
B. pendulums oscillate with different frequencies but equal amplitude, the shortest pendulum oscillating with the highest frequency,
c. all pendulums oscillate with the frequency of the driver pendulum; the pendulum with length equal to that of the driver has the greatest amplitude
D. pendulums oscillate with different frequencies and rent amplitudes
| 3 |
Physics
|
If \( 0<x<1, \) then \( \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{1+x}\right) \) is
equal to
\( ^{\mathbf{A} \cdot} \frac{1}{2} \cos ^{-1} x \)
B. \( \cos ^{-1} \frac{\sqrt{1+x}}{2} \)
c. \( \sin ^{-1} \sqrt{\frac{1-x}{2}} \)
D. \( \frac{1}{2} \sqrt{\frac{1+x}{1-x}} \)
| 2 |
Maths
|
Caustic soda is the common name for:
\( \mathbf{A} \cdot M g(O H)_{2} \)
в. КОН
\( \mathbf{c} \cdot C a(O H)_{2} \)
D. \( N a O H \)
| 1 |
Chemistry
|
In gamma ray emission from a nucleus
A. both the neutron number and the proton number change
B. there is no change in the proton number and the neutron number
C . only the neutron number changes
D. only the proton number changes
| 3 |
Physics
|
If \( : n(A)=m, \) then number of relations
in \( A \) are
\( \mathbf{A} \cdot 2^{m} \)
B. \( 2^{m}-2 \)
\( \mathbf{c} \cdot 2^{m^{2}} \)
D. None of these
| 2 |
Maths
|
Speed \( v \) of a particle moving along a
straight line, when it is at a distance \( x \)
from a fixed point on the line is given by \( v^{2}=108-9 x^{2} \) (assuming mean
position to have zero phase constant)
(all quantities in are in \( c g s \) unit):
A. The motion is uniformly accelerated along the straight line
B. The magnitude of the acceleration at a distance \( 3 \mathrm{cm} \) from the fixed point is \( 27 \mathrm{cm} / \mathrm{s}^{2} \)
C. The motion is simple harmonic about \( x=\sqrt{12} \mathrm{m} \)
D. The maximum displacement from the fixed point is \( 4 \mathrm{cm} \)
| 3 |
Physics
|
State True or False :
Human body is a good conductor of electricity.
A. True
B. False
| 3 |
Physics
|
Which the following interaction form nonbonding molecular orbital when zaxis is the bonding axis?
\( \mathbf{A} \cdot d_{y z}+d_{z^{2}} \)
\( \mathbf{B} \cdot d_{y z}+d_{x y} \)
C \( \cdot d_{x^{2}-y^{2}}+d_{x y} \)
D. All form N.B.M.O.
| 1 |
Chemistry
|
\( 3 V \) potentiometer used for the
determination of internal resistance of
a \( 2.4 \mathrm{V} \) cell. The balance point of the cell is open circuit is \( 75.8 \mathrm{cm} \). When a
resistor of \( 10.2 \Omega \) is used in the external
circuit of the cell the balance point
shifts to \( 68.3 \mathrm{cm} \) length of the potentiometer wire. The internal
resistance of the cell is?
A . \( 2.5 \Omega \)
B . \( 2.25 \Omega \)
c. \( 1.12 \Omega \)
D. 3.2\Omega
| 3 |
Physics
|
An element (X) forms compounds of the
formula \( \boldsymbol{X} \boldsymbol{C l}_{3}, \boldsymbol{X}_{2} \boldsymbol{O}_{5} \) and \( \boldsymbol{C} \boldsymbol{a}_{3} \boldsymbol{X}_{2}, \) but
does not form \( X C l_{5} . \) Which of the following is the element?
\( A \cdot B \)
B. Al
c.
D.
| 1 |
Chemistry
|
If \( a m \neq b l, \) then the system of
equations \( a x+b y=c \) and \( l x+m y= \)
\( n \) has:
A. A unique solution
B. No solution
c. Infinitely many solutions
D. May or may not have a solution
| 2 |
Maths
|
Polynuclear hydrocarbons are non toxic.
A. True
B. False
| 1 |
Chemistry
|
Calculate the Standard Deviation and
coefficient of variation for the given
frequency table:
\( \begin{array}{ll}\text { Class-interval } & \text { Frequency } \\ 1-5 & 1 \\ 6-10 & 2 \\ 11-15 & 3 \\ 16-20 & 4\end{array} \)
| 2 |
Maths
|
How did a citizen group called Friends of Arcata Marsh, Arcata, California, USA, help to improve water quality of the marshland using Integrated Waste Water Treatment? Explain in four steps.
| 0 |
Biology
|
A gas will approach ideal behavior at:
A. low temperature and low pressure
B. low temperature and high pressure
c. high temperature and low pressure
D. high temperature and high pressure
| 1 |
Chemistry
|
The path along which light travels is called a
\( A \cdot \operatorname{ray} \)
B. line
c. line segment
D. none
| 3 |
Physics
|
\( \int \sec x \cdot \log (\sec x+\tan x) d x= \)
\( A \cdot[\log (\sec x+\tan x)]^{2}+c \)
B. \( \frac{[\log (\sec x+\tan x)]^{2}}{2}+c \)
c. \( -\log (\sec x+\tan x)+c \)
D. \( \log (\sec x+\tan x)+c \)
| 2 |
Maths
|
Evaluate the following limits. \( \lim _{x \rightarrow 5} \frac{x^{3}-125}{x^{2}-7 x+10} \)
| 2 |
Maths
|
Assertion
De Broglie equation has significance for any microscopic or submicroscopic particles.
Reason
De Broglie wavelength is inversely proportional to the mass of the object.
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
|
A boy throws balls into air at regular
interval of 2 second. The next ball is
thrown when the velocity of first ball is zero. How high do the ball rise above his
hand? [Take \( \left.\boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} / \boldsymbol{s}^{2}\right] \)
A . \( 4.9 \mathrm{m} \)
B. \( 9.8 m \)
c. \( 19.6 m \)
D. 29.4 \( m \)
| 3 |
Physics
|
Which of the following is/are responsible for the higher boiling points of aldehydes and ketones compared to
ethers and hydrocarbons of comparable molecular mass?
A. Intermolecular dipole-dipole interactions between opposite ends of \( C=O \) dipoles
B. Intermolecular hydrogen bonds
c. Dipole induced dipole interactions.
D. All of these
| 1 |
Chemistry
|
In a photo-electric cell, a retarding
potential of \( 0.5 V \) is required to block
the movement of electrons from the
cathode when monochromatic light of wavelength \( 400 n m \) is incident on its surface. Find the work function of the
material of the cathode.
| 3 |
Physics
|
The time taken by an \( A C \) of frequency
\( \mathbf{5 0} \boldsymbol{H} z \) to complete one cycle will be
A. 2 second
B. 0.2 second
c. 0.02 second
D. 0.002 second
| 3 |
Physics
|
Simplify:
\( -45 p^{3} \div 9 p^{2} \)
| 2 |
Maths
|
Some liquid is filled in a cylindrical
vessel of radius \( R \) Let \( F_{1} \) be the force
applied by the liquid on the bottom of the cylinder. Now the same liquid is poured into a vessel of uniform square
cross-section of side \( \boldsymbol{R} \). Let \( \boldsymbol{F}_{2} \) be the
force applied by the liquid on the bottom of this new vessel. (Neglect atmosphere pressure). Then
\( \mathbf{A} \cdot F_{1}=\pi F_{2} \)
B. \( F_{1}=\frac{F_{2}}{\pi} \)
\( \mathbf{C} \cdot F_{1}=\sqrt{\pi F_{2}} \)
\( \mathbf{D} \cdot F_{1}=F_{2} \)
| 3 |
Physics
|
Two numbers are given as i) 20.96 and
ii) \( 0.0003125 . \) Rounding off above numbers to 3 significant figures will lead to :
A \( . \) i) \( 21.0, \) ii) 312
B . i) 21.0, ii) 3.12 \( \times 10^{-4} \)
\( c \cdot \) i) \( 2.10, \) ii) \( 3.12 \times 10^{-4} \)
4
4
| 3 |
Physics
|
Water flows at the rate of 10 m/minute
through a cylindrical pipe \( 5 m m \) in diameter. How long would it take to fill a
conical vessel whose diameter at the
base is \( 40 \mathrm{cm} \) and depth \( 24 \mathrm{cm} \) ?
| 2 |
Maths
|
Nuclear charge with
decrease in atomic number.
A. increases
B. decreases
c. remains same
D. increases then decreases
| 1 |
Chemistry
|
Assertion
When charges are shared between any
two bodies no charge is really lost some
loss of energy does occurs.
Reason
Some energy disappears in the form of heat, sparking etc.
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
| 3 |
Physics
|
The reading of voltmeter and ammeter
in the following figure will respectively
be :
\( A \cdot O \) and \( 2 A \)
B. 2A and OV
c. \( 2 v \) and \( 2 A \)
D. ov and on
| 3 |
Physics
|
The product of two consecutive even
numbers is \( 120 . \) Can you express this information in the form of a Quadratic
Equation? If yes, what would be the resulting Quadratic Equation?
| 2 |
Maths
|
Sulphide ores of metals are usually concentrated by froth floatation process. Which one of the following sulphide ores offers an exception and is concentrated by chemical leaching?
A. Argentite
B. Galena
c. copper pyrite
D. sphalerite
| 1 |
Chemistry
|
Among the following, the branched chain polymer is:
A. PVC
B. polyester
c. low density polyethylene
D. nylon - 6,6
| 1 |
Chemistry
|
Three six-faced fair dice are thrown
together let \( P(k) \) denote the probability
that the sum of the numbers appearing
on the dice is \( k(9 \leq k \leq 4) \). Find 54 s where \( \boldsymbol{S}=\sum_{\boldsymbol{k}=\mathbf{9}}^{\mathbf{1 4}} \boldsymbol{P}(\boldsymbol{k}) \)
| 2 |
Maths
|
The electric field in a region of space is given by \( \mathrm{E}=5 \mathrm{i}+2 \mathrm{j} \) N/C. The electric flux
due to this field through an area \( 2 m^{2} \)
lying in the YZ plane, in S.l unit, is
A . 10
B. 20
c. \( 10 \sqrt{2} \)
D. \( 2 \sqrt{29} \)
| 3 |
Physics
|
A car is moving on a circular road of curvature \( 300 \mathrm{m} . \) If the coefficient of
friction is 0.3 and acceleration due to
gravity is \( 10 \mathrm{m} / \mathrm{s}^{2} \), the maximum speed the car can have is:
\( A \cdot 30 \mathrm{km} / \mathrm{hr} \)
B. 81 km/hr
c. \( 108 \mathrm{km} / \mathrm{hr} \)
D. \( 162 \mathrm{km} / \mathrm{hr} \)
| 3 |
Physics
|
When a bacterium is provided with flagella arising from two opposite ends, it is called
A. Monotrichous
B. Lophotrichous
c. Amphitrichous
D. Polytrichous
| 0 |
Biology
|
At \( 0^{\circ} \mathrm{C} \) and a pressure of \( 1000 \mathrm{mm}, \) a given weight of nitrogen occupies a
volume of \( 1.0 l . A t-100^{\circ} C, \) the same
weight of gas under the same pressure occupies a volume of \( 0.61 . \) What is the value of absolute zero in degree Celsius?
A . \( -250^{\circ} \mathrm{C} \)
B. \( 250^{\circ} \mathrm{C} \)
c. \( -273^{\circ} \mathrm{C} \)
D. \( 273^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
In a series resonant circuit, the AC voltage across resistance \( R, \) inductor and capacitor \( C \) are \( 5 \vee, 10 \vee \) and \( 10 ~ V \) respectively. The AC voltage applied to the circuit will be
A . \( 10 v \)
B. 25
\( c \cdot 5 v \)
D. 20
| 3 |
Physics
|
What is observed when an emulsion is
centrifuged?
| 1 |
Chemistry
|
The velocity of a body moving in a straight line is increased by applying a constant force \( F \) for some distance in
the direction of the motion. The increase
in the kinetic energy of the body is equal to
A. the potential energy of the body.
B. the work done by the force on the body.
c. the momentum of the body.
D. the torque on the body.
| 3 |
Physics
|
The formula of tetrachloro methane is:
A \( . C C l H_{3} \)
в. \( C C l_{2} \)
c. \( C H C l_{3} \)
D. \( C C l \)
| 1 |
Chemistry
|
Monoclinic sulphur is an example of
monoclinic crystal system. What are the
characteristics of the crystal system?
\( \mathbf{A} \cdot \mathbf{a} \neq b \neq c, \alpha=\beta=\gamma=90^{\circ} \)
B \( \cdot a \neq b \neq c, \alpha \neq \beta \neq \gamma \neq 90^{\circ} \)
\( \mathbf{C} \cdot a=b \neq c, \alpha=\beta=\gamma=90^{\circ} \)
D \( \cdot a \neq b \neq c, \alpha=\gamma=90^{\circ}, \beta \neq 90^{\circ} \)
| 1 |
Chemistry
|
Galvanized iron sheets are coated with:
A. \( C \)
в. \( C u \)
\( c \cdot Z n \)
D. \( N i \)
| 3 |
Physics
|
A ketone has molar mass \( 86 . \) Which of
the following cannot be IUPAC name of this ketone?
A. 2 -pentanone
B. 2-methyl butanone
c. 3 -methyl butanone
D. 3 -pentanone
| 1 |
Chemistry
|
Write the value of \( x \) for which \( 2 x, x+10 \)
and \( 3 x+2 \) are in \( A . P \)
| 2 |
Maths
|
The shape of \( X e O_{2} F_{2} \) molecule is :
A. tetrahedron
B. pyramid
c. see-saw
D. square planar
| 1 |
Chemistry
|
lce has lower density than water because :
A. hydrogen bonding
B. hydrogen bonding and cage like structure of ice
c. bent structure of water
D. diamond structure of water
| 1 |
Chemistry
|
\( = \)
| 1 |
Chemistry
|
Which of the following produces
colorless gas with dil. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
This question has multiple correct options
A \( \cdot N a_{2} S_{2} O_{3} \)
в. \( \operatorname{NaH} \mathrm{CO}_{3} \)
c. \( C H_{3} C O_{2} N H_{4} \)
D. All
| 1 |
Chemistry
|
Mention a cause and symptom of each
of the following
(i) Emphysema
(ii) Renal calculi
(iii) Diarrhoea
| 0 |
Biology
|
Assertion
Dielectric material (dielectric for short)
is an electrical insulator that can be
polarized by an applied electric field.
Reason
Electric field attracts the polarised or
even non polarised atoms in a element
and those atoms get collected on the
Surface
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
|
Fossils are generally found in
A. Sedimentary rocks
B. Igneous rocks
c. Metamorphic rocks
D. Any type of rock
| 3 |
Physics
|
To increase the angular magnification of a simple microscope, one should increase
A. the focal length of the lens
B. the power of the lens
c. the aperture of the lens
D. the object size
| 3 |
Physics
|
Find the surface area of a sphere of
diameter:
\( \mathbf{3 . 5} \mathrm{cm} \)
| 2 |
Maths
|
A solenoid is \( 1.5 m \) long and its inner
diameter is \( 4.0 \mathrm{cm} . \) It has 3 layers of
winding's of 1000 turns each and
carries a current of 2.0 amperes. The magnetic flux for a cross-section of the solenoid is nearly.
A . \( 4.1 \times 10^{-5} \) weber
B. \( 5.2 \times 10^{-5} \) weber
c. \( 6.31 \times 10^{-3} \) weber
D. \( 2.5 \times 10^{-7} \) weber
| 3 |
Physics
|
Assertion
\( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{4} & \mathbf{0} & \mathbf{4} \\ \mathbf{2} & \mathbf{3} & \mathbf{2} \\ \mathbf{1} & \mathbf{2} & \mathbf{1}\end{array}\right], \mathbf{B}^{-\mathbf{1}}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{3} & \mathbf{3} \\ \mathbf{1} & \mathbf{4} & \mathbf{3} \\ \mathbf{1} & \mathbf{3} & \mathbf{4}\end{array}\right] \)
Then \( (A B)^{-1} \) does not exist.
Reason
since \( |\boldsymbol{A}|=\mathbf{0},(\boldsymbol{A B})^{-1}=\boldsymbol{B}^{-1} \boldsymbol{A}^{-1} \) is
meaningless.
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
| 2 |
Maths
|
How are \( g \) and \( G \) related?
A \( \cdot g=\frac{G M}{R^{3}} \)
в. \( g=\frac{M}{G R^{2}} \)
c. \( _{g}=\frac{G M}{R^{2}} \)
D. \( g=\frac{G M}{R} \)
| 3 |
Physics
|
Pick out the wrong statement about
retardation.
A. Retardation is negative acceleration
B. Retardation is rate of decrease of velocity with time
C \( . \) Sl unit of retardation is \( m s^{-2} \)
D. Retardation is a scalar quantity
| 3 |
Physics
|
What is the name for substances that
cannot be broken down into simpler types of matter?
A . Electrons
B. Molecules
c. Nuclei
D. Elements
| 1 |
Chemistry
|
If \( f \) and \( g \) two function defined on \( N \)
such that \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}2 n-1 i f n \text { isven } \\ 2 n+2 i f \text { is odd }\end{array} \text { and } g(n)=f(n)+\right. \)
Then range of \( g \) is
A \( \cdot\{m \epsilon N: m=\text { multiple of } 4\} \)
B. setofevennaturalnumber
C \( \cdot\{m \epsilon N: m=4 k+3, k i s \text { a natural number }\} \)
D. \( m \epsilon N: m= \) multiple of 3 or multiple of 4
| 2 |
Maths
|
The electronic configuration of
actinides is:
A \( \cdot[\operatorname{Rn}] 5 f^{0-14} 6 d^{0-2} 7 s^{1} \)
B . \( [R n] 5 f^{0-14} 6 d^{0} 7 s^{0} \)
C \( \cdot[R n] 5 f^{0-14} 6 d^{0-2} 7 s^{2} \)
D \cdot \( [R n] 5 f^{0-14} 6 d^{0-2} 7 s^{0} \)
| 1 |
Chemistry
|
Water as ice has a cooling effect, whereas water as steam may cause
severe burns. Explain these observations:
| 3 |
Physics
|
Q Type your question
\( A \)
\( (a) \)
B.
\( (b) \)
\( \mathbf{C} \)
\( (c) \)
\( D \)
\( (d) \)
| 1 |
Chemistry
|
Divide
\( 17 \mathrm{km} 250 \mathrm{m} \) by \( 6 \mathrm{m} \)
| 2 |
Maths
|
At an election meeting 10 speakers are to address the meeting. The only protocol to be observed is that whenever they speak P.M. will speak before M.P. and M.P. will speak before M.L.A. In how
many ways can the meeting be addressed?
| 2 |
Maths
|
Where are reflex arcs formed?
\( A \). Brain
B. Spinal chord
c. Muscle
D. skin
| 0 |
Biology
|
A mouse moving along a straight line moves forward \( 8 \mathrm{cm} \) and then backward
\( \mathbf{5} \mathrm{cm} . \) What are the magnitudes of the displacement and distance of the mouse's motion?
A. Displacement : \( 13 \mathrm{cm} ; \) Distance : \( 3 \mathrm{cm} \)
B. Displacement : 3 \( \mathrm{cm} ; \) Distance : \( 13 \mathrm{cm} \)
c. Displacement\( : 13 \mathrm{cm} ; \) Distance \( : 13 \mathrm{cm} \)
D. Displacement : 3 \( c m ; \) Distance : 3 \( c m \)
| 3 |
Physics
|
In the year 2009 , during rainy season of 90 days, it was observed that it rain to
20 days only. Find the probability that it did not rain.
| 2 |
Maths
|
A double convex lens has radii of
curvature of \( 1 \mathrm{m} \) and \( 2 \mathrm{m} \), What should
be the refractive index of the material
such that the focal length of the lens is \( 50 \mathrm{cm} ? \)
A \( \cdot 3 \frac{1}{3} \)
B. \( 2 \frac{1}{3} \)
\( c \cdot_{4} \frac{1}{3} \)
D. 1.13
| 3 |
Physics
|
Write the name of following compounds:
\( (\mathrm{A}) C_{6} H_{5} N_{2}^{\oplus} H S O_{4}^{\ominus} \)
(B) Ref. image
\[
\langle 0\rangle-\mathrm{N}=\mathrm{N}-\sqrt{\bigcirc}\rangle-\mathrm{o} \mathrm{H}
\]
| 1 |
Chemistry
|
The diagram above represents the energy states for a particular atom.Photons having which of the
following energies could be absorbed by
atoms of this kind in the ground state?
Assume that the absorbed electrons do
not ionize the atom.
\( \mathbf{A} \cdot 7 e V \)
B. 6 eV
\( \mathbf{c} .5 \mathrm{eV} \)
D. \( 4 e V \)
\( \mathrm{E} \cdot 3 \mathrm{eV} \)
| 3 |
Physics
|
The oxidation state of iron in the
coordination sphere of prussian blue is:
\( A \cdot+2 \)
B. 0
\( c \cdot+1 \)
D. +3
| 1 |
Chemistry
|
Laminarin and mannitol, the reserve
food of brown algae, are
A. lipids
B. complex carbohydrates
C. proteins
D. lipoproteins
| 0 |
Biology
|
What is the length of an arc of a circle with a radius of 5 if it subtends an
angle of \( 60^{\circ} \) at the center?
A . 3.14
B. 5.24
c. 10.48
D . 2.62
| 2 |
Maths
|
When two thin lenses of focal lengths \( f_{1} \)
and \( f_{2} \) are kept coaxially and in contact, prove that their combined focal length "f' is given by \( \frac{1}{f}=\frac{1}{f_{1}}+\frac{1}{f_{2}} \)
| 3 |
Physics
|
The dimensional formula for plank's
constant and angular momentum are
\( \mathbf{A} \cdot\left[M L^{2} T^{-2}\right] \) and \( \left[M L T^{-1}\right] \)
B \( \cdot\left[M L^{2} T^{-1}\right] \) and \( \left[M L^{2} T^{-1}\right] \)
\( \mathbf{c} \cdot\left[M L^{3} T^{1}\right] \) and \( \left[M L^{2} T^{-2}\right] \)
D・ \( \left[M L^{2} T^{-1}\right] \) and \( \left[M L^{2} T^{-2}\right] \)
| 3 |
Physics
|
A capacitor has a capacitance of 27.0 microfarads
If we triple the area of the plates of the capacitance and cut the distance between the plates to \( 1 / 3 \) of its original value, what is the new capacitance of the capacitor?
A. 243 microfarads
B. 9.0 microfarads
c. 3.0 microfarads
D. 81.0 microfarads
E. 27.0 microfarads
| 3 |
Physics
|
What will be the velocity of the electron when it just reaches the positive plate?
A \( \cdot \sqrt{\frac{2 V e d}{m}} \)
в. \( \sqrt{\frac{2 V e}{m}} \)
c. \( \sqrt{\frac{2 V e}{m d}} \)
D. \( \sqrt{\frac{V e d}{m}} \)
| 3 |
Physics
|
The mean and median of 100 items are
50 and 52 respectively. The value of largest item is \( 100 . \) If was later found that it it 110 and not \( 100 . \) The true mean
and median are:
A. 50.10,51.5
B . 50.10,52
\( c .50,51.5 \)
D. none of these
| 2 |
Maths
|
CFC are not recommended to be used
in refrigerators because they
A. Increase temperature
B. Deplete ozone
c. Affect environment
D. Affect human body
| 0 |
Biology
|
Find the points of maxima, minima and the intervals of monotonicity of the following function:
\( \boldsymbol{y}=\boldsymbol{x}^{4}+\boldsymbol{4} \boldsymbol{x}^{3}-\boldsymbol{8} \boldsymbol{x}^{2}+\boldsymbol{3} \)
| 2 |
Maths
|
At what speed will the velocity head of
stream of water be equal to \( 40 \mathrm{cm} ? \)
\( A \cdot 280 \mathrm{ms}^{-1} \)
в. \( 2.80 \mathrm{cm} / \mathrm{s} \)
c. \( 280 \mathrm{cms}^{-1} \)
D. \( 0.280 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
If the position of the electron is measured within an accuracy of \( \pm \) \( 0.002 \mathrm{nm}, \) calculate the uncertainty in the momentum of the electron. Suppose the momentum of the electron is \( \frac{h}{4 \pi m} \times 0.05 n m, \) is there any problem in defining this value?
| 1 |
Chemistry
|
Which of the following substances are crystalline allotrope of carbon?
(i) Diamond (ii) Charcoal (iii) Graphite
(iv) Lamp black (v) Coke (vi) Fullerene
A. (i) to (vi) all
B. (i), (ii) \& (iv)
\( c . \) (i), (iii) \& (vi)
D. (iv), (ii), (v)
| 1 |
Chemistry
|
A petite young woman of \( 50 k g \) distributes her weight equally over her high-heeled shoes. Each heel has an area of \( 0.75 \mathrm{cm}^{2} . \) Find the pressure
exerted by each heel? Take \( g=10 m / s^{2} \)
A \( .6 .66 \times 10^{6} P a \)
B . \( 3.33 \times 10^{6} P a \)
c. \( 1.67 \times 10^{6} P a \)
D. \( 4.44 \times 10^{6} \mathrm{Pa} \)
| 3 |
Physics
|
The figure showing Fleming's left hand
rule is given. Which figure or thumb
shows the direction of flow of electric
current?
A. First finger
B. Second finger
c. Thumb
D. Small finger
| 3 |
Physics
|
If \( X \) is a \( 2 \times 3 \) matrix such that
\( \left|\boldsymbol{X}^{\boldsymbol{T}} \boldsymbol{X}\right| \neq \mathbf{0} \) and \( \boldsymbol{A}=\boldsymbol{I}_{2}- \)
\( X\left(X^{T} X\right)^{-1} X^{T} \) then \( A^{2} \) is equal to:
\( \left(X^{T} \text { denotes transpose of matrix } X\right) \)
A. \( A \)
B. \( I \)
\( c \cdot A^{-1} \)
D. \( A X \)
| 2 |
Maths
|
An air bubble rises from bottom to top of
a liquid of density \( 1.5 \mathrm{g} / \mathrm{cm}^{3} . \) If its volume is doubled, the depth of liquids is
A. \( 689 \mathrm{cm} \)
B. 398 \( \mathrm{cm} \)
\( c .760 \mathrm{cm} \)
D. 152 \( \mathrm{cm} \)
| 3 |
Physics
|
Which of the following is not a tautology?
A. \( p \rightarrow(p \vee q) \)
в. \( (p \wedge q) \rightarrow p \)
c. \( (p \vee q) \rightarrow(p \wedge(\sim q)) \)
D. \( (p \vee \sim p) \)
| 2 |
Maths
|
What happens to glucose which enters
the nephron along with filterate during excretion in human beings? State two vital functions of kidney.
| 0 |
Biology
|
The sum \( \frac{3}{1.2}, \frac{3}{1.2}, \frac{1}{2}, \frac{4}{2.3}\left(\frac{1}{2}\right)^{2}+\frac{5}{3.4}\left(\frac{1}{2}\right)^{2} \)
A \( \cdot 1-\frac{1}{(n+1) 2^{n}} \)
B. \( 1-\frac{1}{n .2^{n-1}} \)
\( \mathbf{C} \cdot 1=\frac{1}{(n+1) 2^{n}} \)
D. \( \frac{1}{(n-1) 2^{n-1}} \)
| 2 |
Maths
|
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