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\( x^{3}-15 x^{2}+59 x-45=0 \) solve for \( x \)
| 2 |
Maths
|
Why R streamlines never intersect.
| 3 |
Physics
|
The energy of electron is maximum at:
A. nucleus
B. ground state
C. first excited state
D. infinite distance from the nucleus
| 1 |
Chemistry
|
A person has a \( 15 \mathrm{cm} \) wide face and his
two eyes are separated by \( 9 \mathrm{cm} . \) The minimum width of a mirror required for
the person to view his complete face literally is
\( \mathbf{A} \cdot 15 \mathrm{cm} \)
в. 9 ст
\( c .6 c m \)
D. 3 cm
| 3 |
Physics
|
A buffer solution of \( p H=9 \) can be
prepared by mixing:
A. \( C H_{3} C O O N a \) and \( C H_{3} C O O O H \)
B. \( N a C l \) and \( N a O H \)
c. \( N H_{4} C l \) and \( N H_{4} O H \)
D. \( K H_{2} P O_{4} \) and \( K_{2} H P O_{4} \)
| 1 |
Chemistry
|
Give reasons.
In old age bifocal lens is necessary
for person.
| 3 |
Physics
|
State whether the following statement is true or false. Give reason to support
your answer. \( \{a, b, a, b, a, b, \ldots . .\} \) is an infinite set
A. True
B. False
| 2 |
Maths
|
If value of \( x \) which satisfy equation \( \sin ^{-1} \frac{2 x}{1+x^{2}}=\tan ^{-1} \frac{2 x}{1-x^{2}}, \) is \( -a< \)
\( \boldsymbol{x}<\boldsymbol{b} \)
Find the value of \( a+b \)
A . -1
B.
c. 1
D.
| 2 |
Maths
|
\( \frac{\ln x}{x^{2}} \)
\( \frac{d^{2}}{d^{2}} \)
| 1 |
Chemistry
|
The term \( \frac{d c}{d t} \) in a rate equation refers to:
A. concentration of reactants
B. change in concentration of reactants or products with time
C. velocity constant of the reaction
D. concentration of products
| 1 |
Chemistry
|
Spin multiplicity is zero for:
\( A \)
\begin{tabular}{|l|l|l|}
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{1} \) \\
\hline
\end{tabular}
в. \begin{tabular}{|l|l|l|}
\hline \( \mathbf{1} \) & \( \mathbf{1} \) & \( \mathbf{j} \) \\
\hline
\end{tabular}
\( c \)
\( \left|\begin{array}{ll}\hline \mid & \downarrow & \downarrow\end{array}\right| \)
D. \( \sqrt{ }|V| \)
| 1 |
Chemistry
|
Two short magnets placed along the same axis with their like poles facing each other will repel each other with a
force which varies inversely as
A. Distance
B. Square of distance
c. cube of distance
D. Fourth power of distance
| 3 |
Physics
|
When 2 moles of \( C_{2} H_{6} \) are completely
burnt, \( 3120 k J \) of heat is liberated.
Calculate the heat of formation \( \Delta \boldsymbol{H}_{f}^{o} \)
for \( \boldsymbol{C}_{2} \boldsymbol{H}_{\mathbf{6}} \)
Given: \( \Delta H_{f}^{o} \) for \( C O_{2}(g) \) and \( H_{2} O(l) \) are
-395 and \( -286 k J \) respectively.
A . \( -88 k J / m o l \)
в. \( +88 k J / m o l \)
c. \( -58 k J / m o l \)
D. None of the above
| 1 |
Chemistry
|
How many zeros in \( 100 ! ? \)
| 2 |
Maths
|
Explain electron transport system
| 0 |
Biology
|
Density of water is
\( \mathbf{A} \cdot 1000 k g / m^{3} \)
B . \( 1 k g / m^{3} \)
\( \mathbf{c} \cdot 1000 g / \mathrm{cm}^{2} \)
D. \( 100 k g / m^{3} \)
| 3 |
Physics
|
Distance travelled by sound in year is called AU?
A . True
B. False
| 3 |
Physics
|
A diamagnetic substance produces a
A. Strong magnetic field in opposition of an externally applied magnetic field
B. Weak magnetic field in the direction of an externally applied magnetic field
C. Weak magnetic field in opposition of an externally applied magnetic field
D. Strong magnetic field in the direction of an externally applied magnetic field
| 3 |
Physics
|
Which is not a mineral of aluminium?
A. Anhydrite
B. Bauxite
c. corundum
D. Diaspore
| 1 |
Chemistry
|
Two identical heater wires are first
connected in series and then in parallel with a source of electricity. The ratio of heat produced in the two cases is
A. 2:
B. 1: 2
\( c \cdot 4: \)
\( D \cdot 1: 4 \)
| 3 |
Physics
|
ray is the ray of light striking a
surface.
A. Incident
B. refracted
c. reflected
D. All the above
| 3 |
Physics
|
Two point charges \( 2 C \) and \( -1 C \) are
placed at \( \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\boldsymbol{6} \) respectively.
The potential will be zero at points:
A. \( x=2,-2 \)
в. \( x=1,5 \)
c. \( x=4,12 \)
D. \( x=2,9 \)
| 3 |
Physics
|
Evaluate \( \int x^{2} \log x d x \)
| 2 |
Maths
|
Let \( \boldsymbol{f}(\boldsymbol{x})=[\boldsymbol{x}] \) and \( \boldsymbol{g}(\boldsymbol{x})=|\boldsymbol{x}| . \) Find
\( (\boldsymbol{g} \boldsymbol{o} \boldsymbol{f})\left(-\frac{\boldsymbol{5}}{\boldsymbol{3}}\right)-(\boldsymbol{f o g})\left(-\frac{\boldsymbol{5}}{\boldsymbol{3}}\right) \)
\( A \)
B . 2
\( c .3 \)
\( D \)
| 2 |
Maths
|
A box contains x molecules of a gas. How
will the pressure of the gas be affected if the number of molecules is made \( 2 x ? \)
A. Pressure will decrease
B. Pressure will remain unchanged.
c. Pressure will be doubled
D. Pressure will become three times.
| 3 |
Physics
|
A string is stretched between fixed points separated by \( 75.0 \mathrm{cm} \). It is observed to have resonant frequencies
of \( 420 H z \) and \( 315 H z . \) There are no
other resonant frequencies between these two. Then, the lowest resonant
frequency for this string is
\( \mathbf{A} \cdot 105 H z \)
в. \( 1.05 \mathrm{Hz} \)
\( \mathrm{c} .1050 \mathrm{Hz} \)
D. \( 10.5 \mathrm{Hz} \)
| 3 |
Physics
|
Solve \( \int x^{3} \log x d x \)
A \( \frac{x^{4} \log x}{4}+C \)
B. \( I=\frac{x^{4}}{4} \log x-\frac{x^{4}}{16}+C \)
c. \( \frac{1}{8}\left[x^{4} \log x-4 x^{2}\right]+C \)
D \( \cdot \frac{1}{16}\left[4 x^{4} \log x+x^{4}\right]+C \)
| 2 |
Maths
|
Continuous sewage flow into a stream would lead to
A. Eutrophication
B. Algal bloom
c. Depletion of oxygen
D. Increase in temperature
| 0 |
Biology
|
The most fundamental characteristic of
living being is
A. Locomotion
B. Regeneration
c. Fragmentation
D. Reproduction
| 0 |
Biology
|
Which of the following statements can be related to sexual reproduction?
A. Gametes are usually haploid.
B. Gametes are usually diploid.
c. The zygote is usually haploid.
D. The chromosome number is reduced during mitosis
| 0 |
Biology
|
Which one is not a constituent of
nucleic acid?
A . Uraci
B. Guanidine
c. Phosphoric acid
D. Ribose sugar
| 1 |
Chemistry
|
A chain is held on friction-less
horizontal table with one-fourth of its
length hanging over the edge. If the chain gas a length I and a mass \( \mathrm{M} \) what is the work required to pull the hanging part back on the table?
| 3 |
Physics
|
The statement written as value of \( x \) is
less than 50 is represented as
A \( .50<x \)
в. \( x>50 \)
c. \( x<50 \)
D. None of these
| 2 |
Maths
|
The following graph illustrates:
A. Dalton's law
B. Charles'law
c. Boyle's law
D. Gay-Lussac's law
| 1 |
Chemistry
|
The probability that certain electronic component fails when first used is 0.10 If it does not fail immediately, the probability that is lasts for one year is 0.99. The probability that a new component will last for one year is
A. 0.891
1
B. 0.692
\( c \cdot 0.92 \)
D. None of these
| 2 |
Maths
|
The d.rs of the lines \( \boldsymbol{x}=\boldsymbol{a} \boldsymbol{y}+\boldsymbol{b}, \boldsymbol{z}= \)
\( \boldsymbol{c} \boldsymbol{y}+\boldsymbol{d} \) are:
A. \( 1, a, c \)
B. \( a, 1, c \)
c. \( b, 1, c \)
D. \( c, a, 1 \)
| 2 |
Maths
|
An equilibrium expression may
be forced to completion by:
A. adding a catalyst
B. increasing the pressure
C. increasing the temperature
D. removing the products from the reaction mixture as they are formed
E. decreasing the reactant concentration
| 1 |
Chemistry
|
2 moles of \( A \& 3 \) moles of \( B \) are mixed in
litre vessel and the reaction is carried
at \( 400^{\circ} \mathrm{C} \) according to the equation; \( A+B \rightleftharpoons 2 C . \) The equilibrium constant
of the reaction is \( 4 . \) Find the number of
moles of \( C \) at equilibrium.
A. 2.4 mole
B. 2.8 mole
c. 3.2 mole
D. 3.7 mole
| 1 |
Chemistry
|
The range of \( \boldsymbol{f}(\boldsymbol{x})= \)
\( -3 \cos \sqrt{3+x+x^{2}} \) is
A. [-1,1]
в. [-2,2]
c. [-3,3]
D. [-4,4]
| 2 |
Maths
|
Explain the terms papilionaceous
corolla.
| 0 |
Biology
|
The value of \( x \) at which tangent to the
curve \( \boldsymbol{y}=\boldsymbol{x}^{3}-\boldsymbol{6} \boldsymbol{x}^{2}+\boldsymbol{9} \boldsymbol{x}+\boldsymbol{4}, \boldsymbol{0} \leq \boldsymbol{x} \leq \)
5 has maximum slope is
\( \mathbf{A} \cdot \mathbf{0} \)
B. 2
\( c \cdot \frac{5}{2} \)
\( D \)
| 2 |
Maths
|
In the reaction,
\( \boldsymbol{X}+\boldsymbol{I}_{2}+\mathbf{2} \boldsymbol{H} \boldsymbol{C l} \rightarrow \boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{4}+\mathbf{2 H I} \)
The correct option regarding \( X \) is/are:
A. It is an strong reducing agent
B. It is an angular molecule
C. It is used as a reagent in test of \( H g^{2+} \) radical
D. All of the above
| 1 |
Chemistry
|
The differential equation of the family of lines which pass through (1,-1) is:
A \( \cdot y=(x+1) \frac{d y}{d x}+1 \)
B. \( y=(x+1) \frac{d y}{d x}-1 \)
c. \( y=(x-1) \frac{d y}{d x}+1 \)
D. \( y=(x-1) \frac{d y}{d x}-1 \)
| 2 |
Maths
|
In the given triangle \( A B C, \) find the
measure of \( \angle \boldsymbol{A B C} \)
| 2 |
Maths
|
The common difference of
\( -2,-4,-6,-8, \dots \dots \dots . . \) is :
A . -2
B. -
\( c \cdot 2 \)
\( D \)
| 2 |
Maths
|
Which of the following acids contain \( \boldsymbol{P} \)
in \( 5+ \) oxidation state \( ? \)
This question has multiple correct options
A. orthophosphoric acid.
B. Metaphosphoric acid
c. Phosphorus acid.
D. Pyrophosphoric acid.
| 1 |
Chemistry
|
Russell bodies are found in
A. Eosinophils
B. Monocytes
c. Mast cells
D. Plasma
| 0 |
Biology
|
The speed of light in two media I and I
are \( 2.2 \times 10^{8} m / s \) and \( 2.4 \times 10^{8} m / s \)
respectively. The critical angle for light refracting from I to II medium will be
A \( \sin ^{-1}\left(\frac{12}{11}\right) \)
(i) \( \left(\frac{1}{1}\right)(1)^{\frac{1}{11}} \)
\( \mathbf{B} \cdot \sin ^{-1}\left(\frac{11}{12}\right) \)
\( \mathbf{c} \cdot \sin ^{-1}\left(\frac{12}{24}\right) \)
\( \mathbf{D} \cdot \sin ^{-1}\left(\frac{12}{21}\right) \)
| 3 |
Physics
|
The molecular mass of a non-volatile
organic compound is determined either by the Victor Meyer's. method or Duma's method.
A. True
B. False
| 1 |
Chemistry
|
Efficiency of a heat engine whose sink is at a temperature of \( 300 K \) is \( 40 \% \). To
increase the efficiency to \( 60 \% \), keeping the sink temperature constant, the source temperature must be increased
by :
\( \mathbf{A} \cdot 750 K \)
B. \( 500 K \)
c. \( 250 K \)
D. \( 1000 K \)
| 3 |
Physics
|
Name the rays or waves produced by the changes in the nucleus of an atom.
A. X-rays
B. UV rays
c. Gamma rays
D. IR rays
| 3 |
Physics
|
Which of the following imparts violet colouration to the Bunsen burner non-
luminous flame?
\( \mathbf{A} \cdot N a C l \)
в. \( B a C l_{2} \)
c. \( C a C l_{2} \)
D. KCl
| 1 |
Chemistry
|
A heavy block kept on a frictionless
surface and being pulled by two ropes of
equal mass \( m \) as shown in the figure. At
\( t=0, \) the force on the left rope is
withdraw but the force on the right end
continues to act, Let \( F_{1} \) and \( F_{2} \) be the
magnitudes of the force by the right
rope and the left rope on the block respectively.
\( \mathbf{A} \cdot F_{1}=F_{2}=F \quad \) for \( t<0 \)
B . \( F_{1}=F_{2}=F+m g \quad \) for \( t<0 \)
C \( \cdot F_{1}=F_{1} \quad F_{2}=F \) for \( t>0 \)
D. \( F_{1}<F_{1} \quad F_{2}=F \) for \( t>0 \)
| 3 |
Physics
|
The slope and y-intercept of the following line are respectively
\( 8 x-4 y-1=0 \)
A \( \cdot \)slope\( =m=\frac{-1}{2} \) and \( y- \) intercept \( =\frac{1}{4} \)
B . slope \( =m=2 \) and \( y- \) intercept \( =-\frac{1}{4} \)
c. slope \( =m=-\frac{1}{2} \) and \( y- \) intercept \( =-\frac{1}{4} \)
D. slope \( =m=\frac{1}{2} \) and \( y- \) intercept \( =\frac{1}{4} \)
| 2 |
Maths
|
For the following cell having a hydrogen
electrode and a normal calomel
electrode, the electromotive force (EMF)
is \( 0.634 \mathrm{V} \) at \( 298 \mathrm{K} \)
\( \boldsymbol{P t}\left[\boldsymbol{H}_{2}(\boldsymbol{1} \boldsymbol{a} \boldsymbol{t m}) \mid \boldsymbol{H}^{+}(\boldsymbol{p} \boldsymbol{H}=\boldsymbol{x}) \|\right. \)
\( \boldsymbol{K} \boldsymbol{C l}(\mathbf{1} \boldsymbol{N})\left|\boldsymbol{H} \boldsymbol{g}_{2} \boldsymbol{C l}_{2}(\boldsymbol{s})\right| \boldsymbol{H} \boldsymbol{g}(l) \)
If \( E^{o} \) of \( C l^{-}\left|H g_{2} C l_{2}\right| H g \) is \( 0.28 \mathrm{V} \), then
select the incorrect statements.
This question has multiple correct options
A. The cell reaction is \( H_{2}(s)+2 H g(l)+2 C l^{-}(g) \rightarrow \)
\( 2 H^{+}(l)+H g_{2} C l_{2}(s) \)
B. The value of \( x \) is 5
c. The value of \( x \) is 6
D. If semi-normal calomel cathode is used in place of normal cathode cell, then the emf will decrease
| 1 |
Chemistry
|
The length of a potentiometer wire is \( 1200 \mathrm{cm} \) and it carries a current of
\( 60 m A . \) For cell of emf \( 5 V \) and internal
resistance of \( 20 \Omega \), the null point on it is
found to be at \( 1000 \mathrm{cm} . \) The resistance
of whole wire is:
A . \( 60 \Omega \)
в. \( 100 \Omega \)
\( c .80 \Omega \)
D. \( 120 \Omega \)
| 3 |
Physics
|
The following are the marks of 9 students in a class:
19,26,29,28,31,35,36,37,48
Find the median of these marks.
| 2 |
Maths
|
Two vessels \( A \) and \( B \) have same base
area. Equal volumes of a liquid are poured in the two vessels to different
heights \( h_{A} \) and \( h_{B}\left(>h_{A}\right) . \) In which
vessel, the force on the base of vessel will be more.
| 3 |
Physics
|
The value of \( \sqrt{2} \) in correct significant
digits is :
A .1 .414
B. 1.4
\( c \cdot 1.0 \)
\( D \)
| 3 |
Physics
|
A peptide hormone is:
A. estrone
B. testosterone
c. insulin
D. corticoid
| 1 |
Chemistry
|
Two coils have a mutual inductance
\( 0.55 H . \) The current changes in the first
coil according to equation \( \boldsymbol{I}=\boldsymbol{I}_{0} \sin \omega \boldsymbol{t} \)
where, \( I_{0}=10 A \) and \( \omega=100 \pi r a d / s \)
The maximum value of emf in the
second coil is
A . \( 2 \pi \)
в. \( 5 \pi \)
c. \( \pi \)
D. \( 4 \pi \)
| 3 |
Physics
|
Which of the following is one of the postulates of Rutherford's theory?
A. Electrons continuously lose energy
B. Electrons move in a spiral path around the nucleus
c. Electrons revolve in a specific path around the nucleus
D. Electrons revolve in a stationary orbit
| 1 |
Chemistry
|
In fructofuranose, OH group of which
carbon adds to \( >\boldsymbol{C}=\boldsymbol{O} \) group?
A. \( C_{3} \)
в. \( C_{4} \)
c. \( C_{5} \)
D. \( C_{2} \)
| 1 |
Chemistry
|
A substance which decomposes at or below its boiling point cannot be purified by? This question has multiple correct options
A. Steam distillation
B. Simple distillation
c. Fractional distillation
D. Distillation under reduced pressure
| 1 |
Chemistry
|
A qualitative analysis test for \( M n^{2+} \)
involves its oxidation to \( M n O_{4}^{-} \) in
acidic solution by sodium bismuthate,
\( N a B i O_{3} . \) The bisulphate ion is reduced
to \( B i^{3 i} . \) What is a balanced equation for
this test?
A \( \cdot B i O_{3}^{-2}+M n^{2+}+H^{+} \rightarrow M n O_{4}^{-}+B i^{3+}+H_{2} O \)
B. \( 5 B i O_{3}^{-}+2 M n^{2+}+7 H^{+} \rightarrow 2 M n O_{4}^{-}+5 B i^{3+}+7 O H \)
C. \( 5 B i O_{3}^{-}+2 M n^{2+}+14 H^{+} \rightarrow 2 M n O_{4}^{-}+5 B i^{3+}+7 H_{2} O \)
D. None of these
| 1 |
Chemistry
|
The most suitable method of separation of equal \( (1: 1) \) mixture of ortho-
nitrophenol and para-nitrophenol is:
A. Crystallisation
B. Distillation
c. Sublimation
D. chromatography
| 1 |
Chemistry
|
If the pressure in a closed vessle is
reduced by drawing out some gas the mean-free path of molecules
A. losing their kinetic energy
B. sticking to the walls
c. changing their momenta due to collision with the walls
D. getting accelerated towards the wall
| 3 |
Physics
|
If the roots of \( a x^{3}+b x^{2}+c x+d=0 \)
are in H.P., then the roots of \( d x^{3}-c x^{2}+ \)
\( b x-a=0 \) are in
A. A.P
в. с.
c. н.
D. A.G.P
| 2 |
Maths
|
If equal volume of \( B a C l_{2} \) and \( N a F \) solutions are mixed, which of these
combination will give a precipitate? \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{B a} \boldsymbol{F}_{2}=\mathbf{1 . 7} \times \mathbf{1 0}^{-\mathbf{7}} \)
| 1 |
Chemistry
|
Points \( X \& Y \) are taken on the sides QR
\& RS respectively of a parallelogram \( \mathrm{PQRS}, \) so that \( \boldsymbol{Q} \overrightarrow{\boldsymbol{X}}=4 \overrightarrow{\boldsymbol{X}} \boldsymbol{R} \& \overrightarrow{\boldsymbol{R} \boldsymbol{Y}}= \)
\( 4 \vec{Y} \) S. The line \( X Y \) cuts the line \( P R \) at \( Z \) Prove that \( \overrightarrow{P Z}=\left(\frac{21}{25}\right) \overrightarrow{P R} \)
| 2 |
Maths
|
Complete the following statement. All İsotopes of Uranium have
A. the same atomic number and the same mass number.
B. different atomic numbers but the same mass number.
c. different atomic numbers and different mass
numbers.
D. the same atomic number but different mass numbers.
E. no electrons.
| 3 |
Physics
|
\( E_{1}, E_{2}, E_{3} \) are the emf values of the
three galvanic cells respectively.
(i) \( Z n\left|Z n_{1 M}^{2+}\right|\left|C u_{0.1 M}^{2+}\right| C u \)
\( (\text { ii }) Z n\left|Z n_{1 M}^{2+}\right|\left|C u_{1 M}^{2+}\right| C u \)
(iii) \( Z n\left|Z n_{0.1 M}^{2+} \| C u_{1 M}^{2+}\right| C u \)
Which one of the following is true?
A \( . E_{2}>E_{3}>E_{1} \)
в. \( E_{3}>E_{2}>E_{1} \)
c. \( E_{1}>E_{2}>E_{3} \)
D. \( E_{1}>E_{3}>E_{2} \)
| 1 |
Chemistry
|
\( \operatorname{Let} D_{1}=\left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d} & \boldsymbol{c}+\boldsymbol{d} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{a}-\boldsymbol{b}\end{array}\right| \) and \( D_{2}= \)
\( \left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{c} & \boldsymbol{a}+\boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{d} & \boldsymbol{b}+\boldsymbol{d} \\ \boldsymbol{a} & \boldsymbol{c} & \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}\end{array}\right| \) then the value of \( \frac{D_{1}}{D_{2}} \)
where \( b \neq 0 \) and \( a d \neq b c, \) is
A . -2
B. 0
\( c \cdot-2 b \)
D. \( 2 b \)
| 2 |
Maths
|
A beam of light of wavelength 600 nm
from a distant source falls on a single slit \( 1 \mathrm{mm} \) wide and the resulting diffraction pattern is observed on a screen \( 2 \mathrm{m} \) away. The distance between the first dark fringes on either side of the central bright fringe is?
A . \( 1.2 \mathrm{cm} \)
B. \( 1.2 \mathrm{mm} \)
\( c .2 .4 \mathrm{cm} \)
D. \( 2.4 \mathrm{mm} \)
| 3 |
Physics
|
What is magnus effect?
| 3 |
Physics
|
A rifle bullet loses \( 1 / 20 \) th of its velocity in passing through a plank. What will be the least number of such planks required to just stop the bullet?
| 3 |
Physics
|
If the function \( f(x)=x^{3}-6 a x^{2}+5 x \)
satisfies the conditions of Lagrange's mean theorem for the interval [1,2] and the tangent to the curve \( y=f(x) \) at
\( \boldsymbol{x}=\mathbf{7} / \mathbf{4} \) is parallel to the chord joining
the points of intersection of the curve
with the ordinates \( x=1 \) and \( x=2 \)
Then the value of a is?
\( \mathbf{A} \cdot 35 / 16 \)
B. \( 35 / 48 \)
c. \( 7 / 16 \)
D. \( 5 / 16 \)
| 2 |
Maths
|
Pulling of a cart/tram is an example of
A . Resultant force
B. Gravitational force
c. contact force
D. Action at a distance force
| 3 |
Physics
|
\( \frac{\sin A}{1+\cos A}+\frac{\sin A}{1-\cos A} \) is equal to
\( A \cdot \sin A \)
B. \( 2 \operatorname{cosec} A \)
\( c \cdot \cos A \)
D. None of these
| 2 |
Maths
|
At a given instant of time the position vector of a particle moving in a circle with a velocity \( 3 \hat{i}-4 \hat{j}+5 \hat{k} \) is \( \hat{i}+9 \hat{j}- \)
8 \( \hat{k} \). It's angular velocity at that time is
A \( \cdot \frac{(13 \hat{i}-29 \hat{j}-31 \hat{k})}{\sqrt{146}} \)
B. \( \frac{(13 \hat{i}-29 \hat{j}-31 \hat{k})}{146} \)
\( \frac{(13 \hat{i}+29 \hat{j}-31 \hat{k})}{\sqrt{146}} \)
D. \( \frac{(13 \hat{i}+29 \hat{j}+31 \hat{k})}{146} \)
| 3 |
Physics
|
Find the value of the following modulus:
\( |-11|-|3| \)
| 2 |
Maths
|
Two players \( A \) and \( B \) are competing at a trivia quiz game involving a series of questions. On any individual question,
the probabilities that \( A \) and \( B \) give the correct answer are \( \alpha \) and \( \beta \) respectively,
for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins if B answers the first question.
A \( \cdot \frac{\alpha}{1-(1-\alpha)(1-\beta)} \)
в. \( \frac{(1-\beta)}{1-(\alpha)(\beta)} \)
c. \( \frac{(1-\beta) \alpha}{1-(1-\alpha)(1-\beta)} \)
D. none of these
| 2 |
Maths
|
The angle subtended at the point (1,2,3) by the points \( P(2,4,5) \) and \( Q(3,3,1) \) is
A \( \cdot 90^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 30^{\circ} \)
D. \( 0^{\circ} \)
\( E \cdot 45^{\circ} \)
| 2 |
Maths
|
Assertion
The Sl unit of weight is newton.
Reason
Weight is the force of gravity with which
a body is attracted towards the earth.
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
|
The iodide content of a solution was
determined by titration with cerium (IV) sulphate in the presence of \( \boldsymbol{H} \boldsymbol{C l} \), in
which \( I^{-} \) is converted to \( I_{2} . A 250 \mathrm{ml} \)
sample of the solution required \( 20 \mathrm{ml} \) of
\( 0.05 N C e^{4+} \) solution. What is the
iodide concentration in the original solution in \( g / L ? \)
A. 0.508
B. 2.032
c. 0.762
D. 0.127
| 1 |
Chemistry
|
A current of \( 300 \mathrm{mA} \) is made to flow
through a \( 6 k \Omega \) resistor. What is the potential difference across the resistor?
A . \( 1800 v \)
B. 50v
c. \( 0.02 v \)
D. 500v
| 3 |
Physics
|
Nitric acid is manufactured by the Ostwald process in which nitrogen dioxide reacts with water. The reaction
is as follows:
\( \boldsymbol{p} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightarrow \)
\( \boldsymbol{q} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{N} \boldsymbol{O} \)
Find the value of \( \boldsymbol{p}+\boldsymbol{q} \)
A . 8
B. 4
\( c .5 \)
D.
| 1 |
Chemistry
|
Simplify: \( \sin ^{-1}(2 x \sqrt{1-x^{2}})= \)
\( \dots . .\left(|x|<\frac{1}{\sqrt{2}}\right) \)
| 2 |
Maths
|
A polygon which has no diagonal.
A. Quadrilateral
B. Heptagon
c. Triangle
D. Pentagon
| 2 |
Maths
|
Which of the following is mostly easily
cleaved by \( \boldsymbol{H} \boldsymbol{B r} \) ?
\( A \)
\( B \)
\( c \)
D.
| 1 |
Chemistry
|
Write the number of decimal place in
\( \mathbf{8 2 3 5 . 4 0 3} \)
| 2 |
Maths
|
A coil of inductance \( 0.50 H \) and
resistance \( 100 \Omega \) is connected to a
\( 240 V, 50 H z \) ac supply. The maximum current in the coil is given as \( \frac{x}{100} A \) Find \( x \)
| 3 |
Physics
|
Meenakshi gets \( 16 \frac{2}{3} \% \) simple interest on her fixed deposits. Her interest will be equal to the deposit in
years
\( A \cdot 8 \)
B. 8.5
\( c \cdot 6 \)
D. 6.25
| 2 |
Maths
|
Significance of classification is
A. It makes the study of such a wide variety of organisms
easy
B. It projects before us a good picture of all life forms at a glance
C. It helps us understand the inter-relationship among different groups of organisms
D. All of the above
| 0 |
Biology
|
The balanced equation in basic
medium is :
\( \boldsymbol{C l O}_{2}+\boldsymbol{S b O}_{2}^{-} \rightarrow \boldsymbol{C l O}_{2}^{-}+\boldsymbol{S b}(\boldsymbol{O H})_{6}^{-} \)
A \( \cdot 2 C l O_{2}+S b O_{2}^{-}+2 O H^{-}+2 H_{2} O \rightarrow 2 C l O_{2}^{-}+ \)
\( S b(O H)_{6} \)
B . \( 2 C l O_{2}+5 S b O_{2}^{-}+2 O H^{-}+3 H_{2} O \rightarrow 2 C l O_{2}^{-}+ \)
\( 2 S b(O H)_{6} \)
\( \mathrm{c} \cdot 2 \mathrm{ClO}_{2}+\mathrm{SbO}_{2}^{-}+3 \mathrm{OH}^{-}+4 \mathrm{H}_{2} \mathrm{O} \rightarrow 2 \mathrm{ClO}_{2}^{-}+ \)
\( 3 S b(O H)_{6} \)
D. None of these
| 1 |
Chemistry
|
Solve: \( \boldsymbol{x} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}-\boldsymbol{y}+\boldsymbol{x} \sin \left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right)=\mathbf{0} \)
| 2 |
Maths
|
The power generated in a windmill:
A. is more in rainy season since damp air would make more air mass hitting the blades
B. depends on the height of the tower
C. depends on wind velocity
D. can be increased by planting tall trees close to the tower
| 3 |
Physics
|
Write about what a prokaryotic cell lacks?
| 0 |
Biology
|
Statement A: Density of nucleus is independent of its mass number Statement B: Beryllium is used as a
moderator in nuclear reactors
A. Both A and B are correct
B. Both A and B are wrong
C. A is correct,B is wrong
D. A is wrong,B is correct
| 3 |
Physics
|
Assertion:Presently, the global atmosphe
re is warming up.
Reason :The depletion of stratospheric oz
one layer has resulted in increase in ultra
violet radiations reaching the earth.
A. If both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
E. If the assertion is false but reason is true
| 0 |
Biology
|
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