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The rate equation for a reaction, \( \boldsymbol{A} \longrightarrow \)
\( B \) is \( r=k[A]^{0} . \) If the initial
concentration of the reactant is \( a \)
mol.dm \( ^{-3} \), the half-life period of the
reaction is:
A \( \cdot \frac{a}{2 k} \)
в. \( \frac{k}{a} \)
c. \( \frac{a}{k} \)
D. \( \frac{2 a}{k} \) | 1 | Chemistry |
\( \square A B C D \) is a trapezium in which
\( \boldsymbol{A B} \| \boldsymbol{D C} \) and \( \angle \boldsymbol{A}=\angle \boldsymbol{B}=\mathbf{4 5}^{\boldsymbol{o}} . \) Find \( \angle \boldsymbol{C} \)
and \( \angle D \) of the trapezium.
A \( \cdot 135^{\circ} \) each
B . \( 125^{\circ}, 145^{\circ} \)
c. \( 145^{\circ}, 125^{\circ} \)
D . \( 115^{\circ}, 155^{\circ} \) | 2 | Maths |
If \( A \) and \( B \) are independent events with
\( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 2}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5 .} \) then find
\( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B}) \) | 2 | Maths |
Assertion
The equilibrium (given below) attained in a closed vessel remains unaltered by
the addition of \( C a C O_{3}(s) \) \( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \uparrow \)
Reason
Heterogenous reaction is unaffected by solid and liquid.
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 |
The formal charge on central oxygen
\( \operatorname{atom} \operatorname{in} O_{3} \) molecule is :
A . 0
B. +1
c. -1
D. - 2 | 1 | Chemistry |
What is a voltaic cell?
\( A \cdot A \) cell in which a spontaneous redox reaction produces electricity
B. A cell in which an oxidation reaction produces electricity.
C . A cell that produces voltage.
D. A cell full of volts.
E. Any cell that undergoes a spontaneous reaction. | 1 | Chemistry |
When the atom Li, Be, B and Na are
arranged in order of increasing atomic radius, what is the correct order?
\( A \cdot B, B e, \) Li, \( N a \)
B. Li, Be, B Na a
c. Ве, Li, В, Na | 1 | Chemistry |
Sodium sesquicarbonate is
This question has multiple correct options
\( \mathbf{A} \cdot N a_{2} C O_{3} N a H C O_{3} \)
B. a double salt
C . trisodium hydrogen discrabonate
D. water softner | 1 | Chemistry |
Q Type your question
a convex lens.
Arrange the steps in the proper
sequence.
(a) Place the lens on a V-shaped stand.
(b) Place the object at \( 2 F_{1} \)
(c) Place the object between \( 2 F_{1} \) and \( F_{1} \)
(d) Determine the focal length of the lens by focusing the lens to a distant object like a tree.
(e) Adjust the position of the screen behind the lens to obtain a clear image and study the nature of the image.
(f) Mark the positions of \( F_{1}, 2 F_{1}, F_{2} \)
and \( 2 F_{2} \)
(g) Focus the lens to a distant object like a tree.
(h) Place the object just behind \( 2 F_{1} \)
(i) Place the object at \( \boldsymbol{F}_{1} \)
(j) Place the object between \( F_{1} \) and optic centre of the lens and observe that the image formed is virtual.
\( A \cdot \) a f \( d h \) e \( g \) e b e ce ej
B. b a fhe gec
c. a dfge he bece iej
D. a df ge he cebeje | 3 | Physics |
Actinomorphic flower is found in family
A. Cannaceae
B. Poaceae
C. Papilionaceae
D. Solanaceae | 0 | Biology |
Find out the general form of geometric progression.
A .2,4,8,16
в. 2,-2,2,3,1
c. 0,3,6,9,12
D. 10,20,30,40 | 2 | Maths |
In the fusion reaction \( _{1}^{2} \boldsymbol{H} \boldsymbol{e}+_{1}^{2} \boldsymbol{H} \rightarrow_{2}^{3} \)
\( H e+_{0}^{1} n, \) the masses of deuteron, helium, and neutron expressed in amu
are 2.015,3.017 and \( 1.009, \) respectively.
If \( 1 k g \) of deuterium undergoes complete fusion, find the amount of total energy
released. \( \left(1 a m u=931.5 m e V / c^{2}\right) \)
\( \mathbf{A} \cdot \approx 6.02 \times 10^{13} J \)
в. \( \approx 5.6 \times 10^{13} \mathrm{J} \) | 3 | Physics |
Given circuit has \( n \) cells attached to it.
All the cells are identical. When one cell
is reversed, the current decreases to
\( 0.7 A . \) The value of \( n \) is
A . 12
B. 16
\( c \cdot 20 \)
\( D \) | 3 | Physics |
\( \triangle A B C \) and \( \triangle D B C \) are two iosceles
triangle on the same base \( B C \) and
vertices \( A \) and \( D \) are on the same sides
of \( B C . \) If \( A D \) is exerted to intersect \( B C \)
at \( P \), show that
\( \triangle \boldsymbol{A B P} \cong \)
triangleACP | 2 | Maths |
Which process produces alcohol or
lactate?
A. Krebs cycle
B. Glycolysis
C. Electron transport system
D. Fermentation | 0 | Biology |
Identify \( A \) and \( B \) in the given graph and
choose the correct option accordingly.
A. A-Lungs; B-Liver
B. A-Lungs; B-tissue
C. B-tissue :A-Lungs
D. A-kidney: B-Liver | 0 | Biology |
Q Type your
\( A \)
\( c \)
\( D \) | 1 | Chemistry |
\( \operatorname{Let} a_{i}=i+\frac{1}{t} \) for \( i=1,2, \dots \dots, 20 \) put
\( \boldsymbol{p}=\frac{\mathbf{1}}{\mathbf{2 0}}\left(\boldsymbol{a}_{1}+\boldsymbol{a}_{2}+\ldots \ldots+\boldsymbol{a}_{20}\right) \) and \( \boldsymbol{q}= \)
\( \frac{1}{20}\left(\frac{1}{a_{1}}+\frac{1}{a_{2}}+\ldots . .+\frac{1}{a_{20}}\right) . \) Then
A \( \cdot q \epsilon\left(0, \frac{22-p}{21}\right) \)
В \( \cdot_{q \epsilon}\left(\frac{22-p}{21}, \frac{2(22-p)}{21}\right) \)
c. \( _{q \epsilon}\left(\frac{2(22-p)}{21}, \frac{22-p}{7}\right) \)
D. \( q \epsilon\left(\frac{22-p}{7}, \frac{4(22-p)}{21}\right) \) | 2 | Maths |
Mitochondria are store houses of
A. Glycogen
B. Glucose
c. АтР
D. Fats | 0 | Biology |
Given figure depicts the light
harvesting complex (LHC) of
photosystem I (PSI). Select the correct identification for \( \mathbf{A}, \mathbf{B} \)
C and \( D \)
A. A-molecules; B- Antenna molecule; C- \( P_{680} ; \) D- Primary
\( e^{-} \) acceptor.
B. A-Antenna molecules; B-Core molecule; \( P_{700} ; \) D-
Primary \( e^{-} \) acceptor.
C. A-Antenna molecules; B-Core molecule; \( P_{700} ; \) D-
Plastocyanin
D. A-Core molecules; B- Reaction centre; \( P_{680} ; \) D-
Plastocyanin | 0 | Biology |
Let the universal set U, be a set all
students of your school, A is set of boys. B is the set of girls \( C \) is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram.
\( \boldsymbol{B} \cap \boldsymbol{C} \) | 2 | Maths |
A straight current carrying conductor is kept along the axis of circular loop carrying current. The force exerted by the straight conductor on the loop is
A. perpendicular to the plane of the loop.
B. in the plane of the loop, away from the center.
C. on the plane of the loop, towards the center.
D. zero. | 3 | Physics |
Evaluate the following:
\( n+1 C_{n} \) | 2 | Maths |
Two moles of helium gas undergo a
cyclic process as shown in Figure.
Assuming the gas to be ideal, calculate
the following quantities in this process
The net work done in Joule | 3 | Physics |
If 1 stands for true and 0 stands for
false, then choose the correct code for
the following statement:
\( H_{2} S O_{4} \) is a weaker acid than \( H C l, \) yet
\( H C l \) is evolved when conc. \( H_{2} S O_{4} \) is
added to \( N a C l \) | 1 | Chemistry |
The gas phase decomposition of dimethyl ether follows first order kinetics:
\( \boldsymbol{C H}_{3}-\boldsymbol{O}-\boldsymbol{C H}_{3}(\boldsymbol{g}) \rightarrow \boldsymbol{C H}_{4}(\boldsymbol{g})+ \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C} \boldsymbol{O}(\boldsymbol{g}) \)
The reaction is carried out in a constant
volume container at \( 50^{\circ} \mathrm{C} \) and has a
half life of 14.5 minutes. Initially, only
dimethyl ether is present at a pressure of 0.40 atm. What is the total pressure
of the system after 12 minutes? (Assume the ideal gas behaviour.)
A. 0.946 atm
B. 0.785 atm
\( c \cdot 0.777 \) atm
D. 0.749 atm | 1 | Chemistry |
Find the point on the straight line \( 3 x+ \) \( \boldsymbol{y}+\mathbf{4}=\mathbf{0} \) which is equidistant from the
points (-5,6) and (3,2) | 2 | Maths |
The correct order of boiling point for
primary \( \left(1^{\circ}\right), \) secondary \( \left(2^{\circ}\right) \) and
tertiary \( \left(3^{\circ}\right) \) alcohols is:
A \( \cdot 1^{\circ}>2^{\circ}>3^{\circ} \)
B . \( 3^{\circ}>2^{\circ}>1^{\circ} \)
\( \mathbf{c} \cdot 2^{o}>1^{\circ}>3^{\circ} \)
D . \( 2^{\circ}>3^{\circ}>1^{\text {о }} \) | 1 | Chemistry |
Correct order of boun angle of the
following is?
A. \( C l O_{2}>O C l_{2}>O F F_{2} \)
в. \( O F_{1}>O C l_{2}>C l_{2} O \)
c. \( O C l_{2}>C l O_{2}>O F_{2} \)
D. \( O C l_{2}>O F_{2}>C l O_{2} \) | 1 | Chemistry |
Reaction \( =2 O_{3} \rightleftharpoons 3 O_{2} \)
Rate \( =\boldsymbol{K}\left(\boldsymbol{O}_{3}\right)^{2}\left(\boldsymbol{O}_{2}\right)^{-1} \)
Here explain the step of the above rate. | 1 | Chemistry |
Multinucleate decomposer organism is
A. Physarum
B. Pelomyxa
c. Arcella
D. Dictyoastelium | 0 | Biology |
The area of a rhombus is \( 28 m^{2} . \) If its
perimeter is \( 28 \mathrm{m} \), find its altitude. | 2 | Maths |
\( f(-4)^{-2} \) is \( \frac{1}{m}, \) then the value of \( m \) is | 2 | Maths |
The fuel used to produce electrical energy in the space rocket Saturn \( \mathrm{V} \) used by Neil Armstrong to reach the
moon was:
A. \( C O+O_{2} \)
в. \( F_{2}+O_{2} \)
c. \( C H_{4}+O_{2} \)
D. liquid \( H_{2}+O_{2} \) | 1 | Chemistry |
Which will have the lowest freezing
point?
A. A 0.01-molar solution of HNO
B. A 0.01-molar solution of \( \mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2} \)
C. A 0.01-molar solution of Cu(NO \( _{3} \) )
D. A 0.01-molar solution of NaNO | 1 | Chemistry |
Cilia and flagella are absent in life cycle
of
A. Red algae
B. Brown algae
c. Green algae
D. Red algae and blue green algae | 0 | Biology |
Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job ?(in minutes) | 2 | Maths |
\( \vec{r}=15 t^{2} \hat{t}+\left(20-20 t^{2}\right) \hat{j} \)
Find magnitude of acceleration at \( t=1 \)
sec.
A \( .30 m / s^{2} \)
в. \( 40 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 70 m / s^{2} \)
D. \( 50 m / s^{2} \) | 3 | Physics |
A transformer steps up an AC supply
from \( 220 \mathrm{V} \) to \( 2200 \mathrm{V} \). If the secondary coil of the transformer has 2000
turns,the number of turns in its primary coil will be:
A . 200
B. 100
\( c .50 \)
D. 20 | 3 | Physics |
At an extreme point of a function \( \boldsymbol{f}(\boldsymbol{x}) \)
the tangent to the curve is
A. Parallel to the \( x \) -axis
B. Perpendicular to the \( x \) -axis
c. Inclined at an angle \( 45^{\circ} \) to the \( x \) -axis
D. Inclined at an angle \( 60^{\circ} \) to the \( x \) -axis | 2 | Maths |
If one angle of a parallelogram is \( 65^{\circ} \)
What are the other angles?
A \( .50^{\circ}, 120^{\circ}, 50^{\circ} \)
в. \( 115^{\circ}, 65^{\circ} \), \( 115^{\circ} \)
\( \mathbf{c} \cdot 65^{\circ}, 115^{\circ}, 65^{\circ} \)
D. None of the above | 2 | Maths |
The potentiometer wire \( A B \) is \( 100 \mathrm{cm} \) long. The value of \( R \) for which the galvanometer shown no deflection, when \( A C=40 \mathrm{cm} \) shown in figure is
\( A \cdot 13 \Omega \)
В. \( 17 . \)
\( c \cdot 15 \Omega \)
D. 21\Omega | 3 | Physics |
Answer the following questions:
(a) Explain qualitatively on the basis of domain picture the irreversibility in the magnetisation curve of a ferromagnet.
(b) The hysteresis loop of a soft iron piece has a much smaller area than
that of a carbon steel piece. If the material is to go through repeated cycles of magnetisation, which piece will dissipate greater heat energy?
(c) 'A system displaying a hysteresis loop such as a ferromagnet, is a device for storing memory? Explain the meaning of this statement.
(d) What kind of ferromagnetic material is used for coating magnetic tapes in a cassette player, or for building 'memory stores' in a modern computer?
(e) A certain region of space is to be shielded from magnetic fields. Suggest a method. | 3 | Physics |
If \( m-\frac{1}{m}=5, \) then find \( m^{2}+\frac{1}{m^{2}} \)
B. \( \sqrt{27} \)
c. \( 25 \sqrt{29} \)
D. \( 25 \sqrt{27} \) | 2 | Maths |
Differentiate the following w.r.t. \( x: \) \( e^{x}+e^{x^{2}}+\ldots+e^{x^{5}} \) | 2 | Maths |
Study the experimental set up shown
below
Which of the following statements is correct regarding the observations made, after the two visking tubes \( P \) and Q were placed in dilute iodine solution
for 10 minutes?
[Key : Visking tube allows the molecules of iodine to pass through it.
A. Solution in visking tube P turns blue - -black
B. Solution in visking tube Q turns blue - black
c. solution in both the visking tubes \( P \) and \( Q \) turns blue black
D. solution in neither of the visking tubes turns blue black | 1 | Chemistry |
Find the position of centre of mass of the uniform planner sheet shown in
figure with respect to the origin. | 3 | Physics |
Light is incident normally on a completely absorbing surface with an energy flux of \( 25 W c m^{-2} \). if the surface
has an area of \( 25 \mathrm{cm}^{-2} \), the momentum
transferred to the surface in 40 min
time duration will be :
A \( .5 .0 \times 10^{-3} \mathrm{Ns} \)
s
B . \( 3.5 \times 10^{-6} N s \)
c. \( 1.4 \times 10^{-6} N s \)
D. \( 6.3 \times 10^{-4} N s \) | 3 | Physics |
Q Type your question
\( M_{A}=2 M \) and \( M_{B}=M, \) as indicated
in the figure. The two masses are initially oriented along the Y-axis and connected by a rod of negligible mass of length \( \mathrm{D} \), forming a rigid body. A force of magnitude \( \boldsymbol{F}=|\overrightarrow{\boldsymbol{F}}| \) along the X-axis is
applied to the object at \( \mathrm{B} \) at \( t=0 \) for \( \mathrm{a} \)
short time interval \( \delta t . \) Neglect gravity. The expression for the magnitude of angular velocity of the system after the
collision is:
A \( \cdot \frac{F \delta t}{M D D} \)
в. \( \frac{2 F \delta t}{3 M D} \)
c. \( \frac{F \delta t}{2 M D} \)
D. \( \frac{3 F \delta t}{2 M D} \) | 3 | Physics |
Which one proposes the basic
postulates concerning elements and atoms?
A. Avogadro's number
в. \( P_{1} V_{1}=P_{2} V_{2} \)
c. \( V_{1} T_{2}=V_{2} T_{1} \)
D. Dalton's theory
E. Gay-Lussac's Law | 1 | Chemistry |
Assertion
An endothermic reaction has a positive \( \Delta H \) value because
Reason
In an endothermic reaction, the total
enthalpy (heat content) of the products
is greater than that of the reactants.
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 |
The children are at opposite ends of metal rod. One strikes the end of the rod
with big pebble. Find the ratio of time
taken by the sound waves in air and in the metal to reach it second child. (Speed in rod \( =6420 \mathrm{m} / \mathrm{s} \) ).
A . 221.3
B. 18.55
c. 22.13
D. 185.5 | 3 | Physics |
Two particles move in concentric circles
of radii \( r_{1} \) and \( r_{2} \) such that they
maintain a straight line at the center. Find the ratio of their angular velocities. | 3 | Physics |
Define solubility and write the factors which influence the solubility. | 1 | Chemistry |
A solution contains \( 0.4 M C H_{3} C O O H \)
and \( 0.2 M C H_{3} C O O N a . \) Calculate the
concentration of \( \boldsymbol{H}^{+} \) ions. The
ionisation constant of acetic acid is
\( 1.8 \times 10^{-5} \) | 1 | Chemistry |
A long thin walled hollow cylinder of radius r is carrying a current I. A very long current carrying straight conductor is passing through the axis of the hollow cylinder, carrying a current
\( i_{0} . \) Find the tension per unit length developed in the hollow cylinder due to the interaction of the straight current
carrying conductor. | 3 | Physics |
Select the oxidant in the given
reactions.
\( \boldsymbol{K} \boldsymbol{I} \boldsymbol{O}_{3}+\boldsymbol{5} \boldsymbol{K} \boldsymbol{I}+\boldsymbol{6} \boldsymbol{H} \boldsymbol{C l} \rightarrow \boldsymbol{3} \boldsymbol{I}_{2}+ \)
\( 6 K C l+3 H_{2} O \) | 1 | Chemistry |
In the arrangement shown, by what
acceleration the boy must go up so that \( 100 \mathrm{kg} \) block remains stationary on the wedge. The wedge is fixed and friction is
absent everywhere. (takeg \( =\mathbf{1 0 m} / \mathbf{s 2}) \)
\( A \cdot 2 m / s^{2} \)
B \( \cdot 4 m / s^{2} \)
\( \mathrm{c} \cdot 6 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathbf{D} \cdot 8 m / s^{2} \) | 3 | Physics |
A rectangular frame of wire abcd has
dimensions \( 32 \mathrm{cm} \times 8.0 \mathrm{cm} \) and a total
resistance of \( 2.0 \Omega . \) It is pulled out of a
magnetic field \( B=0.020 T \) by applying
a force of \( 3.2 \times 10^{-5} N \) (figure). It is
found that the frame moves with
constant speed. What is constant speed
of the frame? | 3 | Physics |
Find power dissipated in \( 4 \Omega \) resistor:
\( A \cdot 12 w \)
B. 16 \( w \)
\( c \cdot 4 w \)
\( 0.6 \mathrm{w} \) | 3 | Physics |
An infinite long straight wire is bent into a semicircle of radius \( R \), as shown
in the figure. A current \( I \) is sent through the conductor. The magnetic field at the centre of the semicircle is :
A. \( \infty \)
в. 0
c. \( \frac{\mu_{0}}{4 R} I \)
D. \( \frac{\mu_{0} I}{4 \pi R}(\pi+1) \) | 3 | Physics |
Which is the \( 1^{s t} \) organic compound synthesized in lab?
A. Urea
B. Methanol
c. Ammonia
D. Sulphuric Acid | 1 | Chemistry |
The reason for double helical structure
of DNA is the operation of:
A. electrostatic attractions
B. van der Waals forces
c. dipole - dipole interactions
D. hydrogen bonding | 1 | Chemistry |
If \( \boldsymbol{\pi}=\mathbf{1 8 0}^{\circ} \) and \( \boldsymbol{A}=\frac{\boldsymbol{\pi}}{\boldsymbol{6}}, \) prove that
\( \frac{(1-\cos A)(1+\cos A)}{(1-\sin A)(1+\sin A)}=\frac{1}{3} \) | 2 | Maths |
What is the electric potential at a distance of \( 9 \mathrm{cm} \) from 3 nC?
\( \mathbf{A} \cdot 270 V \)
в. \( 3 V \)
\( \mathbf{c} .300 V \)
D. 30V | 3 | Physics |
It is proposed to use the nuclear fusion reaction \( _{1} H^{2}+_{1} H^{2} \longrightarrow H e^{4} \) in a
nuclear reactor with an electrical power
rating of \( 200 M W . \) If the energy form
the above reaction is used with 25
percent efficiency in the reactor, how many grams of deuterium fuel will be
needed per day? (The masses of \( _{1} \boldsymbol{H}^{2} \)
and \( _{2} H e^{4} \) are \( 2.0141 a m u \) and 4.0026 amu respectively.) | 3 | Physics |
Retardation means
A . negative acceleration
B. positive acceleration
c. zero acceleration
D. none of these | 3 | Physics |
The point to which the axes are to be translated to eliminate \( x \) and \( y \) terms in
the equation \( 3 x^{2}-4 x y-2 y^{2}-3 x- \)
\( 2 y-1=0 \) is
\( ^{\mathrm{A}} \cdot\left(\frac{5}{2}, 3\right) \)
в. \( \left(-4, \frac{3}{2}\right) \)
c. (-2,3)
D. (2,3) | 2 | Maths |
Na \( C N \) is sometimes added in the froth
floatation process as a depressant when \( Z n S \) and \( P b S \) minerals are
expected because:
A \( \cdot Z n S \) forms soluble complex \( N a_{2}\left[Z n(C N)_{4}\right] \) while \( P b S \)
form froth
B . \( P b(C N)_{2} \) is precipitated while no effect on \( Z n S \) form froth
C . \( P b S \) forms soluble complex \( N a_{2}\left[Z n(P b)_{4}\right] \) while \( Z n S \)
form froth
D. \( N a C N \) is never added in froth floatation process | 1 | Chemistry |
Explain with examples, why we find animals of certain kind living in particular climatic conditions. | 0 | Biology |
Evaluate the following products without multiplying directly:
\( \mathbf{1 0 4} \times \mathbf{9 6} \) | 2 | Maths |
A reaction has an activation energy of
\( 209 k J . m o l^{-1} . \) The rate increases 10
fold when the temperature is increased
from \( 27^{\circ} \mathrm{C} \) to \( X^{o} C . \) The temperature \( X \) is
closest to.[Gas constant, \( \boldsymbol{R}=\mathbf{8 . 3 1 4} \)
\( \left.\boldsymbol{J} \cdot \boldsymbol{m} \boldsymbol{o} \boldsymbol{l}^{-1} \boldsymbol{K}^{-1}\right] \)
A . 35
B . 40
c. 30
D. 45 | 1 | Chemistry |
The change in momentum of a vehicle weighing 2000 kg when its speed increases from \( 36 \mathrm{km} / \mathrm{h} \) to \( 72 \mathrm{km} / \mathrm{h} \)
uniformly is :
A. \( 15000 \mathrm{kg}, \mathrm{m} / \mathrm{s} \)
B. 4000 kg.m/s
c. \( 20000 \mathrm{kg}, \mathrm{m} / \mathrm{s} \)
D. 7200 kg.m/s | 3 | Physics |
On a hypothetical scale \( A \) the ice point
is \( 42^{\circ} \) and the steam point is \( 182^{\circ} \) For
another scale \( \mathrm{B} \), the ice point is \( -10^{\circ} \)
and steam point in \( 90^{\circ} \) ) If \( \mathrm{B} \) reads \( 60^{\circ} \) the reading of \( A \) is,
\( \mathbf{A} \cdot 160^{\circ} \)
B. \( 140^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 110^{\circ} \) | 3 | Physics |
The kind of water is suitable for use is :
A. hard water
B. soft water
c. both A and B
D. none of above | 1 | Chemistry |
Kyle bought 2 snack boxes. Box A has a measure of 2 in \( \times 3 \) in \( \times 5 \) in. Box B
has a measure of 11 in \( \times 4 \) in \( \times 3 \) in.
Find the surface area of the boxes and
their difference.
A \( \cdot 116 i n^{2} \)
B. \( 201 i n^{2} \)
\( \mathbf{c} \cdot 279 i n^{2} \)
D. \( 198 i n^{2} \) | 2 | Maths |
A card is thrown from a pack of 52 cards
so that each card equally likely to be selected. Then find whether the events
\( A \) and \( B \) independent?
\( A= \) the card drawn is spade, \( B= \) the card drawn in an ace. | 2 | Maths |
The eight term of an \( A . P . \) is half the
second term and eleventh term exceeds
one third of its fourth term by 1. Find its
\( 15^{t h} \) term | 2 | Maths |
ABCD is a square of length a, \( a \epsilon N, a>1 \)
Let \( L_{1}, L_{2}, L_{3}, \dots \) be points on BC such
that \( B L_{1}=L_{1} L_{2}=L_{2} L_{3}=\ldots=1 \) and
\( M_{1}, M_{2}, M_{3}, \ldots \) be points on CD such
that \( \boldsymbol{C M}_{\mathbf{1}}=\boldsymbol{M}_{\mathbf{1}} \boldsymbol{M}_{\mathbf{2}}=\boldsymbol{M}_{\mathbf{2}} \boldsymbol{M}_{\mathbf{3}}=\ldots=\mathbf{1} \)
Then \( \sum_{n=1}^{a-1}\left(A L_{n}^{2}+L_{n} M_{n}^{2}\right) \) is equal to
A \( \cdot \frac{1}{2} a(a-1)^{2} \)
в. \( \frac{1}{2} a(a-1)(4 a-1) \)
c. \( \frac{1}{2} a(a-1)(2 a-1)(4 a-1) \)
D. none of these | 2 | Maths |
A question paper consists of 11 question divided into two section 1 and
2. section 1 consits of 5 questions and
section 2 consists of 6 questions. In how
many ways can a student select 6 questions, taking at least 2 questions from each section? | 2 | Maths |
Assertion
In SHM let \( x \) be the maximum speed, \( y \)
the frequency of oscillation and \( z \) the maximum acceleration then \( \frac{x y}{z} \) is a
constant quantity.
Reason
This is because \( \frac{x y}{z} \) becomes a
dimensionless quantity
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 |
A planet has twice the mass of earth
and of identical size. What will be the
height above the surface of the planet where its acceleration due to gravity
reduces by \( 36 \% \) of its value on its surface? | 3 | Physics |
What is the shape of equipotential
surface for a given point charge \( \boldsymbol{q} \) | 3 | Physics |
The rate constant of the reaction \( \boldsymbol{A} \rightarrow \)
\( 2 B \) is \( 1.0 \times ! 0^{-3} \) mol \( l i t^{-1} \) min \( ^{-1}, \) if the
initial concentration of \( \boldsymbol{A} \) is 1.0 mole
\( l i t^{-1}, \) what would be the concentration
of \( B \) after 100 minutes?
A. \( 0.1 \mathrm{mol} \) lit\( ^{-1} \)
B. 0.2 mol lit \( ^{-1} \)
c. 0.9 mol lit \( ^{-1} \)
D. 1.8 mollit\( ^{-1} \) | 1 | Chemistry |
Which of the following statement about
condensation is not true?
A. Protein synthesis result from them.
B. Polysaccharide synthesis result from them.
C. Nucleic acid synthesis result from them.
D. They consume water as a reactant.
E. Different condensation reactions produce different kinds of macromolecules. | 0 | Biology |
Water gas is a mixture of -
A \( \cdot C O_{2} \) and \( O_{2} \)
в. \( O_{2} \) and \( H_{2} \)
c. \( H_{2}, N_{2} \) and \( O_{2} \)
D. \( C O, N_{2} \) and \( H_{2} \) | 3 | Physics |
When a bomb explodes into two pieces, they move in opposite directions. This motion in opposite direction can be explained by
A. Law of conservation of energy
B. Law of conservation of momentum
c. Law of conservation of mass
D. Law of conservation of charge | 3 | Physics |
The magnification of plane mirror is always -
\( \mathbf{A} \cdot<1 \)
B \( .>1 \)
\( c .=1 \)
D. zero | 3 | Physics |
The near point of a normal human eye is
A \( .25 m \)
в. \( 17 m \)
\( c .1 m \)
D. \( 25 \mathrm{cm} \) | 3 | Physics |
Which of the bryophyte has hyalline and chlorophyllose cells in its thallus (lacking rhizoids)?
A. Funaria
B. Sphagnum
c. Marchantia
D. Riccia | 0 | Biology |
The scientific naming of plants begin with publication of Linnaeus book,
named
A. Charaka Samhita
B. Systema Naturae
c. species Plantarum
D. None of the above | 0 | Biology |
1 kg of water is converted into steam at
the same temperature and at 1 atm (100
kPa). The density of water and steam
are \( 1000 \mathrm{kgm}^{-3} \) and \( 0.6 \mathrm{kgm}^{-3} \)
respectively. The latent heat of
vaporisation of water is \( 2.25 \times \) \( 10^{6} J k g^{-1} . \) What will be increase in
energy?
A \( .3 \times 10^{5} J \)
В . \( 4 \times 10^{6} J \)
c. \( 2.08 \times 10^{6} J \)
D. None of these | 3 | Physics |
Find the approximate value of \( \angle A \) in
\( \Delta A B C \) if \( 8 \angle A=9 \angle B=4 \angle C \)
A \( .40^{\circ} \)
B. \( 74^{\circ} \)
\( c \cdot 86^{\circ} \)
D. \( 46.3^{\circ} \) | 2 | Maths |
A zygote which has an \( X \) chromosome inherited from the father will become
A. Boy
B. Girl
C. Either girl or boy
D. cannot be predicted | 0 | Biology |
The stable oxidation state of \( \boldsymbol{C} \boldsymbol{e}(\boldsymbol{Z}= \)
\( \mathbf{5 8} \) ) is:
\( A \cdot+4 \)
\( B \cdot+3 \)
\( c \cdot+2 \)
\( D \cdot+5 \) | 1 | Chemistry |
Negative electric flux indicates that electric lines of force are directed
A. outwards
B. inwards
c. either (a) or (b)
D. none of these | 3 | Physics |
A steady current I flows along an infinitely long hollow cylindrical
conductor of radius R. This cylinder is placed coaxially inside an infinite
solenoid of radius \( 2 R \). The solenoid has
n turns per unit length and carries a
steady current I. Consider a point \( P \) at a distance r from the common axis. The
correct statement(s) is(are)?
A. In the region \( 0<r<R \), the magnetic field is non-zero
B. In the region \( R<r<2 R \), the magnetic field is along
the common axis
C. In the region \( R<r<2 R \), the magnetic field is tangential to the circle of radius \( r, \) centered on the axis
D. In the region \( r>2 R \), the magnetic field is non-zero | 3 | Physics |
(A) Write with the help of a diagram the principle of a potentionmeter.
(B) Using a potentionmeter how do you determine the internal resistance of a
cell? | 3 | Physics |
State whether the given statement is True or False:
Acceleration due to gravity, \( \boldsymbol{g}=\frac{G M}{R^{2}} \)
where symbols have their usual meanings.
A. True
B. False | 3 | Physics |
Which of the following is a soft material
in the tooth?
A. Dentine
B. Pulp
c. Enamel
D. Root | 0 | Biology |
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