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What is the new quantum number proposed by Sommerfeld?
A. Principal
B. spin
c. Azimuthal
D. Magnetic
| 1 |
Chemistry
|
Solar cells are made up of:
A. conductors
B. insulators
c. semiconductors
D. superconductors
| 3 |
Physics
|
toppr 'OGIN
Q Type your question
A, D, , anu
A. A-Fructose-6-phosphate; B-Fructose-1,6-biphosphate;
C- 3-PGAL; D-1,3-biphosphoglyceric acid
B. A- Fructose -1,6-biphosphate ; B- 3-PGAL ; C-1,3biphosphoglyceric acid ; D-3 PGAL
C. A- 3PGAL; B-1,3 biophosphoglyceric acid ; C-3PGAL; Dse-1,6-biphosphate
D \( \quad \) uctose -1,6 -biophosphate ; B-Fructose - \( 6- \) phosphate ; C-PGAL ; D-1,3- biphosphoglyceric acid
| 0 |
Biology
|
Find a vector of magnitude 5 units which is coplanar with vectors \( 3 \hat{i}-\hat{j}- \) \( \hat{\boldsymbol{k}} \) and \( \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}-2 \hat{\boldsymbol{k}} \) and is perpendicular
to the vector \( 2 \hat{i}+2 \hat{j}+\hat{k} \)
| 2 |
Maths
|
A converging lens is used to form an image on a screen. When the upper half of the lens is covered by an opaque
screen.
a) Half of the image will disappear
b) No part of image will disappear
c) Intensity of the image will increase
d. Intensity of the image will decrease
\( A \cdot \) a and \( c \) are true
B. a and d are true
c. b and c are true
D. b and d are true
| 3 |
Physics
|
Find the principal value the following
expression:
\( \sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right) \)
| 2 |
Maths
|
Which of the following statements are
correct?
A. The second ionization enthalpy of oxygen element is greater than that of the fluorine element.
B. The first ionization enthalpy of phosphorus is greater than that of aluminium.
C. The first ionization enthalpy of aluminum is slightly greater than that of gallium.
D. The first ionization enthalpy of \( B \) is less than that of Be.
| 1 |
Chemistry
|
If the sum of the mean and variance of a
binomial distribution for 6 trials be
\( 10 / 3, \) find the distribution.
| 2 |
Maths
|
The dissociation constant of acetic acid
at a given temperature is \( 1.69 \times 10^{-5} \)
The degree of dissociation of \( 0.01 M \)
acetic acid in the presence of \( 0.01 M \)
HCl is equal to:
A . 0.41
в. 0.13
c. \( 1.69 \times 10^{-3} \)
D. 0.013
| 1 |
Chemistry
|
Choose the correct answers from the
alternatives given :
Which of the following does not form during glycolysis?
A. NADH
в. Атр
c. Pyruvate
D. \( F A D H_{2} \)
| 0 |
Biology
|
In every radioactive series, the final element formed is lead (Pb)
A. True
B. False
| 3 |
Physics
|
Assertion
Monocot stem has collateral open
vascular bundle.
Reason
Open vascular bundle is without
vascular cambium.
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.
| 0 |
Biology
|
If the line joining the points
\( \left(a t_{1}^{2}, 2 a t_{1}\right),\left(a t_{2}^{2}, 2 a t_{2}\right) \) is parallel to \( \mathbf{y}= \)
\( \mathbf{x}, \) then \( \mathbf{t}_{\mathbf{1}}+\mathbf{t}_{\mathbf{2}}= \)
A \( \cdot \frac{1}{2} \)
B. 4
\( c \cdot \frac{1}{4} \)
D. 2
| 2 |
Maths
|
By selling an article for \( R s .225 \), the shopkeeper losses \( 25 \% \). Find the \( \% \) gain or loss, if be article be sold for \( \boldsymbol{R} \boldsymbol{s} \). \( \boldsymbol{3} \boldsymbol{6} \boldsymbol{0} \)
A. \( 20 \% \) gain
B. \( 20 \% \) loss
c. \( 10 \% \) loss
D. \( 10 \% \) gain
| 2 |
Maths
|
\( \sqrt{V} \) on two particles \( A \) and \( B \) are plotted against de-broglie wavelengths. Where V is the potential on the particles. Which of the following relation is correct about the mass of particles?
A \( \cdot m_{A}=m_{B} \)
в. \( m_{A}>m_{B} \)
\( \mathbf{c} \cdot m_{A}<m_{B} \)
D \( . m_{A} \leq m_{B} \)
| 1 |
Chemistry
|
Lower is the critical micelle
concentration of surfactant, \( \ldots \) is the
detergency
1. lower
2. higher
3. indeterminate
4. none of the above
Fill in the blank with the correct answer
number.
| 1 |
Chemistry
|
The unit of Respiratory System is
| 0 |
Biology
|
If the area enclosed by the curves \( y^{2}= \)
\( 4 \lambda x \) and \( y=\lambda x \) is \( \frac{1}{9} \) square units then
value of \( \lambda \) is
A .24
B. 37
c. 48
D. 38
| 2 |
Maths
|
\( \left(\frac{-9}{13} \times \frac{5}{6}\right)-\left(\frac{-9}{13} \times \frac{4}{6}\right)=\frac{-9}{13} \times \)
\( \left(\frac{5}{6}-\frac{4}{6}\right) \)
If true then enter 1 and if false then
enter 0
| 2 |
Maths
|
A homogeneous bar, as shown in the figure, has mass \( m \) and length L. The bar which is free to rotate in the vertical
plane about a pin at \( 0, \) is released from
rest in the position \( \theta=0 . \) The angular
acceleration, when \( \theta=60^{0} \) is:
A \( \cdot \frac{g}{2 L} \)
в. \( \frac{0.25 g}{L} \)
c. \( \frac{g}{L} \)
D. \( \frac{0.75 g}{L} \)
| 3 |
Physics
|
Find the value of the determinant:
\[
\left|\begin{array}{ccc}
\cos (\theta+\phi) & -\sin (\theta+\phi) & \cos 2 \phi \\
\sin \theta & \cos \theta & \sin \phi \\
-\cos \theta & \sin \theta & \cos \phi
\end{array}\right|
\]
| 2 |
Maths
|
What is the main reason for using a
solenoid instead of a straight wire to produce magnetic field?
| 3 |
Physics
|
A resistance and inductance are
connected in series with a source of
alternating e.m.f. Derive an expression for resultant voltage impedance and phase difference between current and
voltage in alternating circuit.
| 3 |
Physics
|
\( 3 \frac{2}{5}=3+---- \)
\( A \cdot \frac{3}{5} \)
B.
\( c \cdot \frac{2}{5} \)
D. \( _{3} \frac{2}{5} \)
| 2 |
Maths
|
If. \( x=2-2^{1 / 3}+2^{2 / 3}, \) then value of \( x^{3}- \)
\( 6 x^{2}+18 x+18 \) is
A . 22
B. 33
\( c \cdot 45 \)
D. 40
| 2 |
Maths
|
The first artificial transmutation was
observed by Rutherford. If true enter 1 else enter 0
| 3 |
Physics
|
If 3 coins are tossed simultaneously, the probability of 1 head and 2 tails is:
A \( \cdot \frac{1}{8} \)
в. \( \frac{3}{8} \)
\( c \cdot \frac{5}{8} \)
D. \( \frac{7}{8} \)
| 2 |
Maths
|
Very Short Answer Type:
Define wall pressure.
| 0 |
Biology
|
Digestion in amoeba mainly takes place in
A. Food vacuole
B. Cytoplasm
c. water vacuole
D. None of the above
| 0 |
Biology
|
toppr
Q Type your question
Why
acceleration of block \( \boldsymbol{A} \) and \( \boldsymbol{B} \). Which
graph best represents acceleration \( a_{1} \)
and \( a_{2} \) of block \( A \) and \( B \) respectively
with time?
\( A \)
B.
\( c \)
D.
| 3 |
Physics
|
is an obsolete
scientific model of the atom proposed by J. J. Thomson in 1904.
A. Musk melon model
B. Plum pudding model
c. Christmas melon model
D. Pudding model
| 1 |
Chemistry
|
What is the highest generated power?
\( ^{\mathbf{A}} \cdot P_{\max }=\frac{v^{2} B^{2} d}{4 \rho S} \)
B. \( \quad P_{\max }=\frac{v^{2} B^{2} S d}{4 \rho} \)
\( ^{\mathrm{C}} P_{\max }=\frac{v^{2} B^{2} S d}{\rho} \)
D \( \quad P_{\max }=\frac{v^{2} B^{2} S d}{2 \rho} \)
| 3 |
Physics
|
At \( 25^{\circ} \mathrm{C} \) molar conductance of 0.1 molar
aqueous solution of an ammonium
hydroxide is 9.54 oh \( m^{-1} c m^{2} \) mol \( ^{-1} \) and
at infinite dilution its molar
conductance is 238 oh \( m^{-1} c m^{2} m o l^{-1} \)
The degree of ionization of ammonium hydroxide at the same concentration
and temperature is?
| 1 |
Chemistry
|
Pancreatic juice contains
A. Trypsin, lipase and maltase
B. Pepsin, trypsin and maltase
C. Trypsin, chymotrypsin, amylase and lipase
D. Trypsin, pepsin and amylase
| 0 |
Biology
|
A stone is tied to the middle of a string
and suspended from one end as shown
in the figure. Here \( \mathrm{S} \) is the stone and 0 is the pint of suspension
(ii) if we increase the pull at \( \mathrm{P} \)
gradually, the string will break
A. Below the stone
B. At the point P itself
c. Above the stone
D. Nothing can be decided
| 3 |
Physics
|
What number of chromosomes are
present in a gamete as compared to the parent cell after meiosis?
A. Twice
B. Three times
c. same
D. half
E. One quarter
| 0 |
Biology
|
The metallic character of the element of
IV A group
A. Decreases from top to bottom
B. Has no significance
c. Does not change
D. Increase from top to bottom
| 1 |
Chemistry
|
: The area bounded by \( x=2 \cos \theta, y= \)
\( 3 \sin \theta \) is \( 36 \pi \) sq. units.
II: The area bounded by \( x=2 \cos \theta, y= \)
\( 2 \sin \theta \) is \( 4 \pi \) sq.units.
Which of the above statement is
correct?
A. Onlyı
B. Only II
c. Both I and II
D. Neither I nor II.
| 2 |
Maths
|
What change in colour is observed when white silver chloride is left exposed in
sunlight? State the type of chemical reaction and also write its chemical
equation.
| 1 |
Chemistry
|
A point charge of \( +6 \mu C \) is placed at a distance \( 20 \mathrm{cm} \) directly above the centre of a square of side \( 40 \mathrm{cm} . \) The magnitude of the flux through the
square is
\( A \cdot \epsilon_{0} \)
в. \( \frac{1}{\epsilon_{0}} \)
c. \( \epsilon_{0} \times 10^{-6} \)
D. \( \frac{1}{\epsilon_{0}} \times 10^{-6} \)
| 3 |
Physics
|
What is the value of
\( \cos \left\{\cos ^{-1} \frac{4}{5}+\cos ^{-1} \frac{12}{13}\right\} ? \)
A . \( 63 / 65 \)
B. 33/65
c. 22/65
D. \( 11 / 65 \)
| 2 |
Maths
|
When copper rod donates electrons to
hydrogen ions, it gains charge.
A. positive
B. negative
c. no charge
D. can't say
| 1 |
Chemistry
|
Find unit vector in the direction of vector \( \vec{a}=2 \hat{i}+3 \widehat{j}+\widehat{k} \)
| 2 |
Maths
|
Let \( S \) and \( S^{\prime} \) be two foci of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 . \) If a circle described on
\( S S^{\prime} \) as diameter intersects the ellipse
in real and distinct points, then the eccentricity \( e \) of the ellipse satisfies
\( ^{A} \cdot e=\frac{1}{\sqrt{2}} \)
в. \( _{e} \in\left(\frac{1}{\sqrt{2}}, 1\right) \)
\( ^{\mathrm{c}} \cdot_{e} \in\left(0, \frac{1}{\sqrt{2}}\right) \)
D. None of these
| 2 |
Maths
|
Which describes a nonspontaneous reaction?
A. Positive \( \Delta H \)
B. Negative \( \Delta H \)
c. Positive \( \Delta G \)
D. Positive \( \Delta S \)
E. None of these
| 1 |
Chemistry
|
Action and reaction forces never
balance out. Because,
A. they are equal but not opposite always
B. they are unequal in magnitude even though opposite in direction
C. they act on different bodies
D. they are unequal in magnitudes
| 3 |
Physics
|
A double slit is illuminated by light of wave length \( 6000 A^{0} \). The slits are \( 0.1 \mathrm{cm} \)
apart and the screen is placed 1 m away Then the angular position of 10 th maxima is
A . \( 6 \times 10^{-3} r a d \)
B. 6 rad
c. \( 0.006^{\circ} \)
D. \( 6^{\circ} \)
| 3 |
Physics
|
Define e.m.f. of a cell. How can you compare the emf of two cells using potentiometer?
| 3 |
Physics
|
The diagram, given below, shows two paths drawn inside a rectangular field \( 80 \mathrm{m} \) long and \( 45 \mathrm{m} \) wide. The widths of
the two paths are \( 8 \mathrm{m} \) and \( 15 \mathrm{m} \) as shown. Find the area of the shaded portion
| 2 |
Maths
|
In a particular isomer of
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{C l}_{2}\right], \) the \( \boldsymbol{C l}-\boldsymbol{C o}-\boldsymbol{C l} \)
angle is \( 90^{\circ}, \) the isomer is known as:
A. Linkage isomer
B. Optical isomer
c. Cis-isomer
D. Position isomer
| 1 |
Chemistry
|
Two coils \( P \) and \( Q \) are lying parallels and very close to each other. Coil P is
connected to an AC source whereas Q is
connected to a sensitive galvanometer. On pressing key \( \mathrm{K} \)
A. small variations are observed in the galvanometer for applied 50 Hz voltage
B. deflections in the galvanometer can be observed for applied voltage of 1 Hz to 2 Hz.
c. no deflection in the galvanometer will be observed
D. constant deflection will be observed in the galvanometer for 50 Hz supply voltage
| 3 |
Physics
|
What is \( \int_{0}^{2 \pi} \sqrt{1+\sin \frac{x}{2}} d x \) equal to?
\( A \cdot 8 \)
B. 4
\( c \cdot 2 \)
D.
| 2 |
Maths
|
Which one of the following is a base analogue?
A. Nitrous acid
B. Colchicine
c. 5 - bromouracil
D. Caffeine
| 0 |
Biology
|
A man stands in front of a hill rock and
fires a gun. He hears an echo after 1.5 sec. The distance of the hill rock from
the man is (velocity of sound in
air=330m/s)
A . 220m
B. 247.5m
\( c .268 .5 \mathrm{m} \)
D. 292.5m
| 3 |
Physics
|
What is the primary characteristic on which the broad division is made?
| 0 |
Biology
|
Eighty-nine students of class VIII appeared for a combined test in Maths and Physics. If 62 students passed in
both \( ; 4 \) failed in Maths and Physics and
7 failed only in Maths. How many passed in Physics. (Use a Venndiagram)
| 2 |
Maths
|
Pressure of an ideal gas is increased by keeping temperature constant. The kinetic energy of molecules.
A . Decreases
B. Increases
c. Remains same
D. Increases or decreases depending on the nature of gas
| 3 |
Physics
|
The fission of a heavy nucleus gives, in
general, two smaller nuclei, two or three neutrons, some \( \beta- \) particles, and
some \( \gamma- \) radiation. It is always true
that the nuclei produced
A. have a total rest-mass that is greater than that of the original nucleus
B. have large kinetic energies that carry off the greater part of the energy released
c. travel in exactly opposite directions
D. have neutron-to-proton ratios that are too low for stability
E. have identical neutron-to
| 3 |
Physics
|
Botanical name of tomato is
A . Allium cepa
B. Solanum tuberosum
c. saccharum officinarum
D. Lycopersicon esculentum
| 0 |
Biology
|
\( \sin \theta=\cos \theta \) for all values of \( \theta \)
Enter 1 for true and 0 for false
| 2 |
Maths
|
f the given figure ,if \( X Y=Y Z \) then
\( \angle X Y T=? \)
\( A \cdot 35^{\circ} \)
B . \( 100^{\circ} \)
\( c \cdot 110^{\circ} \)
0.70
| 2 |
Maths
|
A box of mass \( \mathrm{m} \) slides down a
frictionless inclined plane of Iength L and vertical height h. Calculate the kinetic energy at the bottom of plane.
A . mgl
в. mghh
c. \( \mathrm{mgL} / \mathrm{h} \)
D. \( \operatorname{mgh} / \mathrm{L} \)
E. mghL
| 3 |
Physics
|
Solve the following system of inequalities graphically:
\( \mathbf{3} \boldsymbol{x}+\mathbf{4} \boldsymbol{y} \leq \mathbf{6 0}, \quad \boldsymbol{x}+\mathbf{3} \boldsymbol{y} \leq \mathbf{3 0}, \quad \boldsymbol{x} \geq \)
\( 0 . y \geq 0 \)
| 2 |
Maths
|
Most abundant metal in earth crust
is
\( A \cdot A \)
B.
c. \( \mathrm{Fe} \)
\( D \cdot s i \)
| 1 |
Chemistry
|
What are the two properties of carbon which lead to the huge number of carbon compounds we see around us?
| 1 |
Chemistry
|
A stream of water flowing horizontally with a speed of \( 15 m s^{-1} \) gushes out of a
tube of cross-sectional area \( 10^{-2} m^{2} \)
and hits a vertical wall normally. Assuming that it does not rebound from the wall, the force exerted on the wall by the impact of water is:
A \( \cdot 1.25 \times 10^{3} N \)
В. \( 2.25 \times 10^{3} N \)
c. \( 3.25 \times 10^{3} N \)
D. \( 4.25 \times 10^{3} N \)
| 3 |
Physics
|
Cells of Grass leaves which help in minimising cuticular transpiration are
A. Bulliform cells
B. Guard cells
c. subsidiary cells
D. Endodermal cells
| 0 |
Biology
|
Convection occurs usually in
A. Solids
B. Fluids
\( c . \) Both
D. None
| 3 |
Physics
|
Which element has neither definite
shape nor volume?
A. Sodium
B. Hydrogen
c. lodine
D. Lithium
| 1 |
Chemistry
|
Number of electrons involved in the
electrodeposition of \( 63.5 g \) of \( C u \) from a
solution of \( C u S O_{4} \) is?
A \( \cdot 6.022 \times 10^{23} \)
3 \( 3.02 \times 10^{2}+0.62^{23} \)
B. \( 3.011 \times 10^{23} \)
c. \( 12.044 \times 10^{23} \)
D. \( 6.022 \times 10^{22} \)
| 1 |
Chemistry
|
Assertion
Spontaneous process is an irreversible process and may be reversed by some
external agency.
Reason
Decrease in enthalpy is a contributory
factor for spontaneity.
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
|
If \( I_{n}=\int(\log x)^{n} d x, \) then \( I_{6}+6 I_{5}= \)
\( \mathbf{A} \cdot x(\log x)^{5} \)
B. \( -x(\log x)^{5} \)
\( \mathbf{c} \cdot x(\log x)^{6} \)
\( \mathbf{D} \cdot-x(\log x)^{6} \)
| 2 |
Maths
|
The correct formula of critical velocity
\( \left(V_{c}\right) \) is :
A \( \cdot V_{c}=\frac{k \eta d}{r} \)
B. \( v_{c}=\frac{k \eta}{d r} \)
\( ^{\mathrm{C}} \cdot_{V_{c}}=\frac{d r}{k \eta} \)
D. \( V_{c}=\frac{r \eta}{d k} \)
| 3 |
Physics
|
The length of a rectangle is increased by
\( 60 \% \). By what percent would the width be decreased so as to maintain the
same area?
A \( \cdot 37 \frac{1}{2} \% \)
B. 60\%
c. \( 75 \% \)
D. 120\%
| 2 |
Maths
|
Chlorofluorocarbons (CFCs) are widely used in air conditioners, refrigerators etc, because of being:
A. highly reactive
B. flammable
c. non-reactive
D. all of these
| 1 |
Chemistry
|
Find the distance of the point \( \boldsymbol{P}(\boldsymbol{3}, \boldsymbol{4}, \boldsymbol{4},) \)
from the point, where the line joining
the points \( \boldsymbol{A}(\boldsymbol{3},-\boldsymbol{4},-\boldsymbol{5}) \) and \( \boldsymbol{B}(\boldsymbol{2},-\boldsymbol{3}, \boldsymbol{1}) \)
intersected the plane \( 2 x+y+z=7 \)
| 2 |
Maths
|
For a thin convex lens when the height of the object is doubled than its image, its object distance is equal to
\( A \cdot f \)
B . \( 2 f \)
\( c \cdot 3 f \)
D. \( 4 f \)
| 3 |
Physics
|
A die has 6 faces marked by the given numbers as shown below:
The die is thrown once. What is the
probability of getting the smallest integer?
\( 1 3 \longdiv { 2 3 } \)
| 2 |
Maths
|
Assertion: The strength of an oxy acid increases when the choice of the central
atom is made from down a group.
Reason: The strength of an oxy acid increases with EN value of the central
atom
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
| 1 |
Chemistry
|
Energy liberated in the de-excitation of hydrogen atom from the third level to the first level falls on a photo-cathode. Later when the same photo-cathode is exposed to a spectrum of some unknown hydrogen-like gas, excited to the second energy level, it is found that the de Broglie wavelength of the fastest photoelectrons now ejected has
decreased by factor of \( 3 . \) For this new gas, difference of energies of the second Lyman line and the first Balmer line is
found to be 3 times the ionization
potential of the hydrogen atom. Select
the correct answers.
This question has multiple correct options
A. The gas is lithium
B. The gas is helium
c. The work function of photo-cathode is 8.5 eV
D. The work function of photo-cathode is 5.5 eV
| 3 |
Physics
|
Fill in the blanks:
A push or a pull on an object are types of
A. pressure
B. attraction
c. repulsion
D. force
| 3 |
Physics
|
In which stage of its life cycle, the silk moth begins to produce silk fibre?
A. 3rd instar larva
B. 4th instar larva
c. 5 th instar larva
D. Pupa
| 1 |
Chemistry
|
At a curved path of the road, the road bed is raised a little on the side away
from the centre of the curved path. The slope of the road bed is given by
A \( \cdot \tan \theta=r g / v^{2} \)
B . \( \tan \theta=r / g v^{2} \)
C. \( \tan \theta=v^{2} / r g \)
D. \( \tan \theta=v^{2} g / r \)
| 3 |
Physics
|
Consider the following statements
about sucrose and choose the wrong
statement.
A. Hydrolysis of sucrose with dilute acid yields an equimolar mixture of D-glucose and D-fructose
B. Acid hydrolysis of sucrose is accompanied by a change in optical rotation
C. In sucrose, the glycosidic linkage is between \( C-1 \) of glucose and \( \mathrm{C}-2 \) of fructose
D. Aqueous solution of sucrose exhibits mutarotation
| 1 |
Chemistry
|
From the \( \alpha \) -particle scattering
experiment, Rutherford concluded that:
This question has multiple correct options
A. \( \alpha \) -particles can approach within a distance of the order of \( 10^{-14} \mathrm{m} \) of the nucleus
B. the radius of the nucleus is less than \( 10^{-14} m \)
C . scattering follows Coulomb's law
D. the positively charged parts of the atom move with extremely high velocities
| 1 |
Chemistry
|
In distance-time graph, which of the following is plotted on the x-axis?
A. speed
B. distance
\( c . \) time
D. none of the above
| 3 |
Physics
|
Factorise:
\( \mathbf{2} \sqrt{\mathbf{2}} \boldsymbol{a}^{\mathbf{3}}+\mathbf{1 6} \sqrt{\mathbf{2}} \boldsymbol{b}^{\mathbf{3}}+\boldsymbol{c}^{\mathbf{3}}-\mathbf{1 2 a b} \boldsymbol{c} \)
| 2 |
Maths
|
Arrange the following in the increasing order of their basic strength in aqueous solution:
\( \boldsymbol{C H}_{3} \boldsymbol{N} \boldsymbol{H}_{2},\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N},\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H} \)
| 1 |
Chemistry
|
Write the difference between potential
difference and emf.
| 3 |
Physics
|
Which of the following statements regarding motion of particle is true?
A. The motion between \( A \) and \( B \) is known
B. The motion between \( A \) and \( B \) is erratic
c. The motion between \( A \) and \( B \) may have been steady o erratic
D. The motion between \( A \) and \( B \) is steady
| 3 |
Physics
|
A substance has a half-life of 5 years Find out how much of the initial sample remains after 10 years?
A. one-fourth (1/4)
B. one-sixteenth (1/16)
c. one-half \( (1 / 2) \)
D. one-fifth (1/5)
E . one-eighth (1/8)
| 3 |
Physics
|
The reagent(s) for the following conversion,
is/are
A. alcoholic KOH
B. alcoholic KOH followed by NaNHa
c. aqueous KOH followed by \( \mathrm{NaNH}_{2} \)
D. \( \mathrm{Zn} / \mathrm{CH}_{3} \mathrm{OH} \)
| 1 |
Chemistry
|
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}a \tan ^{-1}\left(\frac{1}{x-4}\right) \text { if } 0 \leq x<4 \\ b \tan ^{-1}\left(\frac{2}{x-4}\right) \text { if } 4<x<6 \\ \sin ^{-1}(7-x)+a \frac{\pi}{4} \quad \text { if } \sin ^{-1}(7-2)\end{array}\right. \)
and \( f(4)=\pi / 2 \) is continuous on (0,8)
then
A . (1,1)
B. (1,-1)
c. (-1,1)
D. (-1,-1)
| 2 |
Maths
|
A store has in stock 1230 pairs of socks and the price is 50 per pair of socks, then the total amount the store owner
gets after selling all the items in the stock. Ans in Rs \( k 00 . \) Find the value of \( k \)
| 2 |
Maths
|
rooe vaurauestion
a, which of the following graph is
| 3 |
Physics
|
A small bead of mass m moving with
velocity v gets threaded on a stationary semicircular ring of mass \( \mathrm{m} \) and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of
the system?
A. \$\$displaystyle \{vyl《R\$\$
B. \$\$|displaystyle(2v)|(R)\$\$
c. \$\$ ldisplaystyle \{v)|(2R) \$\$
D. \$\$ldisplaystyle \{3v)|(R)\$\$
| 3 |
Physics
|
Find the value of \( s: \)
\( s(3 s-7)-3 s(s-8)=9 \)
A \( \cdot \frac{17}{9} \)
в. \( \frac{9}{17} \)
\( c \cdot \frac{-9}{17} \)
D. \( \frac{-17}{9} \)
| 2 |
Maths
|
For the gas phase reaction,
\[
\boldsymbol{P} \boldsymbol{C l}_{5(g)} \rightleftharpoons \boldsymbol{P} \boldsymbol{C l}_{3(g)}+\boldsymbol{C l}_{2(g)}
\]
Which of the following conditions are
correct?
\( \begin{array}{lll}\text { A. } \triangle H<0 & \text { and } & \Delta S<0\end{array} \)
B. \( \triangle H>0 \) and \( \Delta S<0 \)
c. \( \Delta H=0 \) and \( \Delta S<0 \)
\( \begin{array}{lll}\text { D. } \triangle H>0 & \text { and } & \Delta S>0\end{array} \)
| 1 |
Chemistry
|
Barometer is used for measuring:
A. Liquid pressure
B. Thrust
c. Atmospheric pressure
D. Air temp
| 3 |
Physics
|
Predict hybridization and shape of \( \boldsymbol{S} \boldsymbol{F}_{4} \)
molecule.
A \( \cdot s p^{3} d \) and see saw
B . sp \( ^{3} \) and tetrahedral
c. sp and T-shape
D. \( s p^{3} d^{2} \) and octahedral
| 1 |
Chemistry
|
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