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1 ampere is same as
\( \mathbf{A} \cdot 1 C s^{-1} \)
B. \( 1 C s \)
\( \mathbf{c} \cdot 1 J C^{-1} \)
D. \( 1 V C^{-1} \)
| 3 |
Physics
|
A lens behaves as a converging lens in air and as a diverging lens in water. The refractive index of the material is
A. Equal to unityyy
B. Equal to 1.33
c. Between unity and 1.33
D. Greater than 1.33
| 3 |
Physics
|
Draw Venn diagrams to illustrate \( \boldsymbol{A} \backslash \boldsymbol{B} \)
| 2 |
Maths
|
Consider the following three
statements:
\( P: 5 \) is a prime number
\( Q: 7 \) is a factor of 192
\( \mathrm{R}: \) L.C.M. of 5 and 7 is 35
Then the truth value of which one of
thefollowing statements is true?
A \( \cdot(P \wedge Q) \vee(\sim R) \)
в. \( (\sim P) \wedge(\sim Q \wedge R) \)
c. \( (\sim P) \vee(Q \wedge R) \)
D. \( P \vee(\sim Q \wedge R) \)
| 2 |
Maths
|
The Henry's law constant for the
solubility of \( N_{2} \) gas in water at \( 298 K \) is \( 1 \times 10^{5} \) atm. The mole fraction of \( N_{2} \) in
air is \( 0.8 . \) Calculate the number of
moles of \( N_{2} \) dissolved in 10 moles of
water at \( 298 K \) and 5 atm.
A \( \cdot 5 \times 10^{-4} \)
В. \( 3 \times 10^{-5} \)
c. \( 4 \times 10^{-4} \)
D. \( 4 \times 10^{-5} \)
| 1 |
Chemistry
|
A sphere of radius \( 10 \mathrm{cm} \) and mass
\( 25 k g \) is attached to the lower end of a
steel wire of length \( 5 m \) and diameter
\( 4 m m \) which is suspended from the ceiling of a room. The point of support is \( 521 \mathrm{cm} \) above the floor. When the
sphere is set swinging as a simple pendulum, its lowest point just grazes the floor. Calculate the velocity of the
ball at its lowest position in \( \boldsymbol{m} / \boldsymbol{s} \) \( \left(\boldsymbol{Y}_{\text {steel}}=\mathbf{2} \times \mathbf{1 0}^{11} \boldsymbol{N} / \boldsymbol{m}^{2}\right) \)
| 3 |
Physics
|
Which of the following are the products shown by the reaction of methoxyethane with \( \boldsymbol{H} \boldsymbol{I} \) ?
\( \mathbf{A} \cdot C_{2} H_{5} I+C H_{3} O H \)
в. \( C H_{3} I+H_{2} O \)
c. \( C_{2} H_{5} O H+H_{2} O \)
D. \( C_{2} H_{5} O H+C H_{3} I \)
| 1 |
Chemistry
|
Q Type your question
observation table are shown in figure.
SI.No. \( \quad \) R(lomegal) \( \quad l(c m) \)
1000
100
1.5
1
Which of the readings is inconsistent?
4
B. 1
\( c \cdot 2 \)
2
| 3 |
Physics
|
A solid metallic sphere is placed in a
uniform electric field. Which of the
curves shown in figure represent the
lines of force correctly?
\( \mathbf{A} \cdot(a) \)
B. \( (b) \)
\( c \cdot(c) \)
\( \mathbf{D} \cdot(d) \)
| 3 |
Physics
|
Match List I (Substances) with List-II
(Processes employed in the
manufacture of the substance) and
select the correct option.
List - (Substances)
A. Sulphuric acid
1. Haber's process
B. Steel
2. Bessemer's
process
c. Sodium hydroxide \( \quad 3 \). Leblanc process
D. Ammonia
A. \( A-1, B-4, C-2, D-3 \)
в. \( A-1, B-2, C-3, D-4 \)
c. \( A-4, B-3, C-2, D-1 \)
D. \( A-4, B-2, C-3, D-1 \)
| 1 |
Chemistry
|
Which of the following object is/are in equilibrium?
This question has multiple correct options
A . A sleeping cat
B. A flask resting on a table
c. A rocking see-sawwew
D. A man walking
| 3 |
Physics
|
Chromosomes are composed of
A. DNA, RNA, histones, non-histones
B. DNA and histones
C. DNA and RNA
D. DNA, RNA and histones
| 0 |
Biology
|
A person walks \( 100 \mathrm{m}, \) holding a suitcase of weight \( 100 \mathrm{N} \). The work done by the applied force is \( J \)
\( \mathbf{A} \cdot 10000 \)
в. 100
c. \( Z e r o \)
D. 5000
| 3 |
Physics
|
Fill in the blank.
Atmospheric pressure with increase in
altitude.
A. increases
B. decreases
c. remains constant
D. may increase or decrease
| 3 |
Physics
|
Eccentricity of the conic represented by \( \boldsymbol{x}=\frac{\boldsymbol{e}^{\boldsymbol{a}}+\boldsymbol{e}^{-\boldsymbol{a}}}{\mathbf{2} \sqrt{\mathbf{3}}}, \boldsymbol{y}=\frac{\boldsymbol{e}^{\boldsymbol{a}}-\boldsymbol{e}^{-\boldsymbol{a}}}{\mathbf{2}} \) is
| 2 |
Maths
|
A die is thrown. If \( A \) is the event that the
number on upper face is less than 5
then write sample space and event \( A \) in
set notation.
| 2 |
Maths
|
A weak acid \( H X \) has the dissociation
constant \( 1 \times 10^{-5} M . \) It forms a salt
\( N a X \) on reaction with alkali. The
percentage hydrolysis of \( 0.1 \mathrm{M} \) solutions of \( N a X \) is:
A. \( 0.0001 \% \)
B . \( 0.01 \% \)
c. \( 0.1 \% \)
D. \( 0.15 \% \) \%
| 1 |
Chemistry
|
Isotopes of an element do not have:
A. same number of electrons
B. same physical properties
c. same chemical properties
D. same electrical charge on the nucleus
| 3 |
Physics
|
Fo parabola \( 3 y^{2}=16 x, \) equation of
directrix and length of latus rectum is
A \( \cdot x=\frac{-4}{3}, \frac{3}{4} \)
B. \( x=\frac{4}{3}, \frac{4}{3} \)
c. \( y=\frac{-4}{3}, \frac{4}{3} \)
D. \( x=\frac{-4}{3}, \frac{16}{3} \)
| 2 |
Maths
|
Slope between PV and P at constant
temperature is:
A . zero
B.
\( c \cdot \frac{1}{2} \)
D. \( \frac{1}{\sqrt{2}} \)
| 3 |
Physics
|
Find \( x \)
| 2 |
Maths
|
A chemical process in which a substance reacts with oxygen to give off
heat is
A. respiration
B. combustion
c. explosion
D. conduction
| 1 |
Chemistry
|
If the sum of \( 1+\frac{1+2}{2}+\frac{1+2+3}{3}+ \)
\( \ldots \) to \( n \) terms is \( S, \) then \( S \) is equal to
A \( \cdot \frac{n(n+3)}{4} \)
в. \( \frac{n(n+2)}{4} \)
c. \( \frac{n(n+1)(n+2)}{6} \)
D. \( n^{2} \)
| 2 |
Maths
|
Cork is a derivative of
A. Cork cambium (phellogen) or extra fascicular cambium
B. Vascular cambium
C. Fascicular cambium
D. Interfascicular cambium
| 0 |
Biology
|
The thermal conductivity of the plate depends upon
A. the temperature difference between the two sides
B. the thickness of the plate
c. the area of the plate
D. nature of the material
| 3 |
Physics
|
The middle term in the expansion of
\( \left(x+\frac{1}{x}\right)^{10} \)
A \( \cdot \) io \( C_{4} \cdot \frac{1}{x} \)
в. \( ^{10} C_{5} \)
c. \( _{10} \mathrm{C}_{5} . \frac{1}{x} \)
D. \( ^{10} C_{6} . x \)
| 2 |
Maths
|
Which of the following does not happen
when nitric acid reacts with calcium
carbonate?
A. Carbon dioxide is evolved
B. Hydrogen is evolved.
c. Calcium nitrate is formed.
D. water is formed
| 1 |
Chemistry
|
To prevent a piece of iron from rusting which one of the following metals will provide the best coating?
A. zinc
B. copper
c. Aluminium
D. Leadd
| 1 |
Chemistry
|
Evaluate the following limits. \( \lim _{x \rightarrow 0} \frac{\sqrt{2-x}-\sqrt{2+x}}{x} \)
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( -\frac{1}{\sqrt{3}} \)
\( c \cdot-\frac{1}{2} \)
D. \( -\frac{1}{\sqrt{2}} \)
| 2 |
Maths
|
Solve:
\( \frac{1}{5}\left(\frac{1}{3 x}-5\right)=\frac{1}{3}\left(3-\frac{1}{x}\right) \)
| 2 |
Maths
|
Garima purchased a briefcase with an additional \( 10 \% \) discount on the reduced
price after deducting \( 20 \% \) on the labelled price If the labelled price was Rs 1400 at what price did she purchased the briefcase?
A . Rs 980
B. Rs 1008
c. Rs 1056
D. Rs 1120
| 2 |
Maths
|
State whether the given statement is
True or False :
Tremors on the Earth can also be
caused by the eruption of a volcano.
A. True
B. False
| 3 |
Physics
|
Identify whether the following sequence is a geometric sequence or not.
2,6,18,54
| 2 |
Maths
|
Give reasons for the following. Stationary coil and stationary magnet can not produce induced electric
current
| 3 |
Physics
|
Assertion
lodination of alkanes is carried out in
the presence of oxidising agents like
\( H I O_{3} \) or \( H N O_{3} \)
Reason
lodination of alkanes is an irreversible
reaction.
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
|
In the figure numbers 1 to 12 indicate
different positions of the Earth in its
orbit around the sun. Which number
indicates the position of the Earth in the
month of Chingam (Leo)?
| 3 |
Physics
|
Intake of food is called
A. Ingestion
B. Egestion
c. Digestion
D. Nutrition
| 0 |
Biology
|
Heat is measured by the principle of :
A . length
B. calorimetry
c. temperature
D. all of the above
| 3 |
Physics
|
Q Type your question
corresponding to some points in the
figure are:
\( \boldsymbol{P}_{\boldsymbol{A}}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{4}} \boldsymbol{P a} \)
\( \boldsymbol{V}_{\boldsymbol{A}}=\boldsymbol{2} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{m}^{-3} \)
\( \boldsymbol{P}_{\boldsymbol{B}}=\boldsymbol{8} \times 10^{4} \boldsymbol{P} \boldsymbol{a} \)
\( V_{C}=5 \times 10^{-3} m^{-3} \)
In the process \( A B, 600 J \) of heat is added
to the system and in process BC, 200 J of
heat is added to the system. The change
in internal energy of the system in
process AC would be
A. 560
B. 800J
c. 600 J
D. 640
| 1 |
Chemistry
|
Define a drug. What are the characters
of an ideal drug?
| 1 |
Chemistry
|
In a simple slit diffraction pattern intensity and width of fringes are
A. Unequal width
B. Equal width
c. Equal width and equal intensity
D. Unequal width and unequal intensity
| 3 |
Physics
|
If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.
| 2 |
Maths
|
The free-body diagram will be identical
to the one we drew in the example of the
frictionless plane, except we will have a vector for the force of friction in the
negative \( x \) direction. What is the work
done on the box by the force of kinetic
friction?
A \( . \) \mumgh \( \sin 30^{\circ} \)
B. \( \mu \) mgh tan30 \( ^{\text {0 }} \)
c. \( \mu m g h \cot 30^{\circ} \)
D. \( \mu \) mgh \( \cos 30^{\circ} \)
| 3 |
Physics
|
Which one of the following statement is
not correct for \( N_{2} ? \)
A. It has small size
B. It is a typical non metal
C. It does not eadily react with oxygen
D. d-orbitals are available for bonding
| 1 |
Chemistry
|
For which of the following processes,
\( \Delta S \) is negative?
A \( \cdot N_{2}(g, 273 K) \rightarrow N_{2}(g, 300 K) \)
B. \( N_{2}(g, 1 \text { 1atm }) \rightarrow N_{2}(g, \text { 5atm }) \)
c. \( C(\text {diamond}) \rightarrow C(\text {graphite}) \)
D. \( H_{2}(g) \rightarrow 2 H(g) \)
| 1 |
Chemistry
|
What is meant by water of crystallization of a substance? Describe an activity to show the water of crystallization.
| 1 |
Chemistry
|
Standard entropies of \( X_{2}, Y_{2} \) and \( X Y_{3} \) are 60,40 and \( 50 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \) respectively.
For the reaction:
\( \frac{1}{2} X_{2}+\frac{3}{2} Y_{2} \rightleftharpoons X Y_{3}, \Delta H=-30 \mathrm{kJ} \) to
be at equilibrium, the temperature should be:
\( A \cdot \) 750 \( \kappa \)
B. 1000
c. \( 1250 \mathrm{k} \)
D. 500 K
| 1 |
Chemistry
|
How is a prokaryotic cell different from a eukaryotic cell?
| 0 |
Biology
|
The phase difference between two waves from successive half period
zones or strips is :
A \( \cdot \frac{\pi}{4} \)
в. \( \frac{\pi}{2} \)
\( c . \pi \)
D. zero
| 3 |
Physics
|
Draw a labelled diagram of an image formed by a compound microscope, with the image at least distance of distinct vision. Write any one
expression for its magnifying power
| 3 |
Physics
|
For the reaction \( 3 A(g)+B(g) \rightleftharpoons 2 C(g) \)
at a given temperature \( \mathrm{K}=9.0 \mathrm{What} \) must be the volume of the flask, if a
mixture of 2.0 mol each of 2.0 mol each of \( A, B \) and \( C \) exist in equilibrium?
A . \( 6 L \)
B. 9L
c. 36L
D. None of these
| 1 |
Chemistry
|
Which of the following will have same value of van't Hoff factor as that of
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] ? \)
A \( \cdot A l_{2}\left(S O_{4}\right)_{3} \)
в. \( A l C l_{3} \)
c. \( A l\left(N O_{3}\right)_{3} \)
\( \mathbf{D} \cdot A l(O H)_{3} \)
| 1 |
Chemistry
|
If \( A \) is a scalar matrix with scalar \( k \neq 0 \)
of order \( 3, \) then \( k A^{-1} \) is:
A \( \cdot \frac{1}{k} I \)
в. \( \frac{1}{k^{2}} \)
\( c \cdot k^{2} I \)
D. \( \frac{1}{k^{3}} \)
| 2 |
Maths
|
Inverse of a diagonal matrix is
A. Symmetric
B. A skew-symmetricc
c. A diagonal matrix
D. None of these
| 2 |
Maths
|
Which of the following reaction(s) is/are non-stereospecific but stereoselective?
A. \( S N_{1} \)
в. \( E_{1} \)
c. \( E_{2} \)
D. \( E_{1} c B \)
| 1 |
Chemistry
|
Which one of the following functions is
not one-one?
\( \mathbf{A} \cdot f:(-1, \infty) \rightarrow R \) given by \( f(x)=x^{2}+2 x \)
B \( \cdot g:(2, \infty) \rightarrow R \) given by \( g(x)=e^{x^{3}-3 x+2} \)
C \( . h: R \rightarrow R \) given by \( h(x)=2^{x(x-1)} \)
D \( \quad \phi:(-\infty, 0) \rightarrow R \) given by \( \phi(x)=\frac{x^{2}}{x^{2}+1} \)
| 2 |
Maths
|
The position vectors \( \vec{a}, \vec{b}, \vec{c} \) of three points satisfy the relation \( 2 \vec{a}+7 \vec{b}+ \)
\( \mathbf{5} \vec{c}=\overrightarrow{0} . \) Are these points collinear?
| 2 |
Maths
|
If an area enclosed by a circle or a square or an equilateral triangle is the same, then the maximum perimeter is possessed by:
A. the circle
B. the square
c. the equilateral triangle
D. the triangle and square have equal perimeters greater than that of circle
| 2 |
Maths
|
A thin metal rod of length \( 0.6 m \) is in
vertical straight position on horizontal floor. This rod is falling freely to a side without slipping. The angular velocity of rod when its top end touches floor, is :
A .7 rads\( ^{-1} \)
B. 4.2 rads\( ^{-1} \)
c. 3.5 rads\( ^{-1} \)
D. \( 2.1 \mathrm{rads}^{-1} \)
| 3 |
Physics
|
Thickness of stem increase due to
activity of
A. Cambium
B. Xylem
c. Phloem
D. Shoot apex
| 0 |
Biology
|
Which one of the following statements
is not correct?
A. Oxidation number of \( \sin \left(N H_{4}\right)_{2} S_{2} O_{8} \) is +6
B. Oxidation number of 0 s in \( O s O_{4} \) is +8
C. Oxidation number of \( \sin H_{2} S O_{5} \) is +8
Dexidation number of 0 in \( K O_{2} \) is \( -\frac{1}{2} \)
| 1 |
Chemistry
|
The additive inverse of \( z \) is
\( A \cdot 0 \)
B. \( z \)
\( c .-z \)
D.
| 2 |
Maths
|
A lead-acid battery of a car has an e.m.f. of \( 12 V . \) if the internal resistance of the
battery is 0.5 ohm, the maximum
current that can be drawn from the
battery will be
\( A .30 A \)
в. \( 20 A \)
\( c \cdot 6 A \)
D. \( 24 A \)
| 3 |
Physics
|
Find the sum of the following series up to \( n \) terms: \( 6+.66+.666+\dots \)
| 2 |
Maths
|
following reaction:
\( \boldsymbol{C}_{6} \boldsymbol{H}_{6}+\boldsymbol{D}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \stackrel{D_{2} \boldsymbol{O}}{\longrightarrow} \boldsymbol{X} \)
\( A \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
Three forces of magnitude \( 6 N, 6 N \) and
\( \sqrt{72} N \) act at a corner of a cube along
three sides as shown in the figures.The
resultant of these forces is:
A . 12 N along ob
B. 18 N along of
c. \( 18 N \) along \( 0 c \)
D. 12 N along of
| 2 |
Maths
|
The half life of a radioactive substance
is 20 minutes. The time taken between
\( 50 \% \) decay and \( 87.5 \% \) decay of the substance will be
A . 30 minutes
B. 40 minutes
c. 25 minutes
D. 10 minutes
| 3 |
Physics
|
Given reason whether the following is an equation or not:
\( (x-2)^{2}=x^{2}-4 x+4 \)
| 2 |
Maths
|
The intercepts of the plane \( 2 x-3 y+ \)
\( \mathbf{5} z-\mathbf{3 0}=\mathbf{0} \) are
A. 15,-10,6
в. 5,10,6
c. \( 1 / 8,-1 / 6,1 / 4 \)
D. 3,-4,6
| 2 |
Maths
|
The binomial distribution whose mean
is 9 and the variance is 2.25 is
\( ^{\mathbf{A}} \cdot\left(12, \frac{1}{2}, \frac{1}{2}\right) \)
B \( \cdot\left(12, \frac{2}{3}, \frac{1}{3}\right) \)
\( ^{\mathbf{c}} \cdot\left(12, \frac{5}{6}, \frac{1}{6}\right) \)
D. \( \left(12, \frac{3}{4}, \frac{1}{4}\right) \)
| 2 |
Maths
|
A liquid of mass \( \mathrm{m} \) and specific heat \( \mathrm{c} \) is heated to temperature 2T. Another liquid of mass m/2 specific heat \( 2 c \) is
heated to a temperature T. If these two liquids are nixed, the resulting temperature mixture is
\( A \cdot(2 / 3) T \)
B. (8/5) T
\( c \cdot(3 / 5) T \)
D. (3/ 2)T
| 3 |
Physics
|
Vascularisation in plants occurs
through.
A. Differentiation of procambium followed by primary phloem and then primary xylem
B. Differentiation of procambium followed by development of xylem and phloem
C. Simultaneous differentiation of procambium, xylem and phloem
D. Differentiation of procambium is immediately followed by development of secondary xylem and secondary phloem
| 0 |
Biology
|
For the given orbital in Column I, the
only CORRECT combination for any
hydrogen-like species is
\( A \cdot(1 \vee) \)
(iv)
B. (III) (iii) (P)
\( c .(11) \) (ii)
(P)
D. (I) (ii) (S)
| 1 |
Chemistry
|
If \( \frac{3 \pi}{2} \leq x \leq \frac{5 \pi}{2}, \) then \( \sin ^{-1}(\sin x) \) is
equal to-
\( A \)
B. \( -x \)
c. \( 2 \pi-x \)
D. \( x-2 \pi \)
| 2 |
Maths
|
Class is present between
A. Kingdom and phylum
B. Phylum and order
c. order and family
D. Family and genus
| 0 |
Biology
|
Explain the factors affecting enzyme
activity
| 0 |
Biology
|
pH of human urine is
\( A \cdot 9 \)
B. 6
\( c \cdot 4 \)
D. 3
| 0 |
Biology
|
An electric dipole moment \( \vec{P}=(2.0 \hat{i}+ \) \( 3.0 \hat{j}) \mu \) is placed in a uniform electric field \( \overrightarrow{\boldsymbol{E}}=(\mathbf{3 . 0 \hat { \boldsymbol { i } }}+\mathbf{2 . 0 \hat { \boldsymbol { k } }}) \times \mathbf{1 0}^{\mathbf{5}} \mathbf{N} \boldsymbol{C}^{-\mathbf{1}} \)
This question has multiple correct options
A . The torque that \( \vec{E} \) exerts on \( \mathrm{P} \) is \( (0.6 \hat{i}-0.4 \hat{j}-0.9 \hat{k}) \)
\( \mathrm{Nm} \)
B. The potential energy of the dipole is 0.9 J
c. The potential energy of the dipole is 0.6
D. If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.3
| 3 |
Physics
|
A square loop ABCD, carrying a current
\( I_{2}, \) is placed near and coplanar with a
long straight conductor XY carrying a
current \( I_{1}, \) as shown in the figure. The
net force on the loop will be :
A \( \cdot \frac{\mu_{0} I_{1} I_{2}}{2 \pi} \)
В. \( \frac{\mu_{0} I_{1} I_{2} L}{2 \pi} \)
c. \( \frac{2 \mu_{0} I_{1} I_{2} L}{3 \pi} \)
D. \( \frac{2 \mu_{0} I_{1} I_{2}}{3 \pi} \)
| 3 |
Physics
|
Each side of a cube is measured to
7.203 \( \mathrm{m} \). Find the volume of the cube up
to appropriate significant figures.
| 3 |
Physics
|
Ratio of the Bohr radius of protium, deuterium and tritium atoms is:
A .1: 2: 3
B. 1: 1: 1
c. 3: 2: 1
D. 2: 3: 4
| 1 |
Chemistry
|
When a vapour is excited at low
pressure by passing an electric current through it, a spectrum is obtained.
a) Draw a spectral series of emission lines in hydrogen.
b) Name the different series of hydrogen
atom
c) In which region Lyman series is located.
| 3 |
Physics
|
When a carpet is beaten with a stick,
dust comes out of it. Explain.
| 3 |
Physics
|
How many unpaired \( e^{-} \) are present in \( \left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{2-} ? \)
A .
B. 2
\( c \)
D. 3
| 1 |
Chemistry
|
Give reasons:
Blood goes only once in one cycle through the heart in fishes.
| 0 |
Biology
|
A ray of light incident on an equilateral
prism shows minimum deviation of \( 30^{\circ} \)
The speed of light through the glass prism is :
A \( .2 .5 \times 10^{8} \mathrm{m} / \mathrm{s} \)
B. \( 2.121 \times 10^{8} \mathrm{m} / \mathrm{s} \)
c. \( 3 \times 10^{8} \mathrm{m} / \mathrm{s} \)
D. \( 3.2 \times 10^{8} \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
A bag contains 5 red, 6 white and 7
black balls. Two balls are drawn at
random. What is the probability that both balls are red or both are black?
A \( \cdot \frac{31}{153} \)
в. \( \frac{30}{153} \)
c. \( \frac{33}{153} \)
D. \( \frac{32}{153} \)
| 2 |
Maths
|
If the constant term in the binomial
expansion of \( \left(x^{2}-\frac{1}{x}\right)^{n}, n \quad \epsilon \quad N \) is 15
then the value of \( n \) is equal to
| 2 |
Maths
|
A ray ol IIght Is Incıdent normally orn orne
face of a prism as shown in figure. The
refractive index of the material of the
5
prism is \( \frac{-a n d}{3} \) the prism is immersed
in water of refractive index \( \frac{x}{2} \) then 3
This question has multiple correct options
A \( \cdot \) The angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{5}{8}\right) \)
B. The angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{5}{4 \sqrt{3}}\right) \)
C the angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{7}{3 \sqrt{4}}\right) \)
D. Total internal reflection will not occur at P if the refractive index of water increases to a value greater
\( \operatorname{than} \frac{5}{2 \sqrt{3}} \) by dissolving some substance
| 3 |
Physics
|
Find the value of \( \sin \left(15^{0}\right) \)
A \( \frac{\sqrt{3}-1}{2 \sqrt{2}} \)
B. \( \frac{\sqrt{3}+1}{2 \sqrt{2}} \)
c. \( \frac{\sqrt{3}-1}{\sqrt{2}} \)
D. None of these
| 2 |
Maths
|
John Ray introduced the term species.
A. True
B. False
| 0 |
Biology
|
Give reasons for the sulphur has greater tendency for catenation then oxygen.
| 1 |
Chemistry
|
Let \( A \) and \( B \) be two sets such that
\( \boldsymbol{n}(\boldsymbol{A})=\boldsymbol{3} \) and \( \boldsymbol{n}(\boldsymbol{B})=\mathbf{2} . \) If
\( (x, 1),(y, 2),(z, 1) \) are in \( A \times B \) find \( A \)
and \( B \) where \( x, y \) and \( z \) are distinct
elements
| 2 |
Maths
|
Gold sol can be prepared by:
A. hydrolysis of gold(III) chloride
B. oxidation of gold by aqua-regia
C . peptization
D. treating gold
(III) chloride with metallic zinc
E. reduction of gold (III) chloride with formalin solution
| 1 |
Chemistry
|
In which state, terrace farming is
practised?
A. Punjab
B. Haryana
c. Plains of Uttar Pradesh
D. Jammu and Kashmir
| 0 |
Biology
|
For the equilibrium \( S r C l_{2} \)
\( 6 H_{2} O(s) \rightleftharpoons S r C l_{2} \cdot 2 H_{2} O(s)+ \)
\( 4 H_{2} O(g) \) the equilibrium constant
\( K_{P}=16 \times 10^{-12} a t m^{4} \) at \( 1^{\circ} C . \) If one
litre of air saturated with water vapour
at \( 1^{\circ} \mathrm{C} \) is exposed to a large quantity of
\( \boldsymbol{S} \boldsymbol{r} \boldsymbol{C l}_{2} \cdot \boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(s), \) what weight of water
vapour will be absorbed? Saturated
vapour pressure of water at \( 1^{\circ} \boldsymbol{C}= \)
7.6 torr.
A \( .7 .2 \mathrm{mg} \)
B . \( 3.25 \mathrm{mg} \)
c. \( 2.3 \mathrm{mg} \)
D. \( 8.5 \mathrm{mg} \)
| 1 |
Chemistry
|
\( \frac{\mathbf{d}^{2} \mathbf{x}}{\mathbf{d} \mathbf{y}^{2}} \) equals
A \( \cdot\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)^{-1} \)
B \( \cdot \quad-\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)^{-1}\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-3} \)
C \( \cdot\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-2} \)
D \( \cdot \)
\( -\left(\frac{\mathrm{d}^{2} \mathbf{y}}{\mathrm{d} \mathbf{x}^{2}}\right)\left(\frac{\mathrm{d} \mathbf{y}}{\mathrm{d} \mathbf{x}}\right)^{-3} \)
| 2 |
Maths
|
\( \ln Y D S E, d=2 m m, D=2 m \) and
\( \lambda=500 n m . \) If intensity of two slits are
\( l_{0} \) and \( 9 l_{0}, \) then find the intensity at \( \boldsymbol{y}=\frac{1}{6} \boldsymbol{m m} \)
A \( .7 l_{0} \)
B. \( 10 l_{0} \)
c. \( 16 l_{0} \)
D. \( 4 l_{0} \)
| 3 |
Physics
|
The equation of an alternating voltage is \( V=100 \sqrt{2} \sin 100 \pi t \) volt. The RMS
value of voltage and frequency will be respectively
A. \( 100 V, 50 H z \)
в. \( 50 V, 100 H z \)
c. \( 150 V, 50 H z \)
D. \( 200 V, 50 H z \)
| 3 |
Physics
|
Integrate the function \( \frac{e^{5 \log x}-e^{4 \log x}}{e^{3 \log x}-e^{2 \log x}} \)
| 2 |
Maths
|
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