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Refer to the Periodic table and
identify the halogen element in the fifth
period among following.
A . \( I \)
в. \( C l \)
\( c . B r \)
D. None of these
| 1 |
Chemistry
|
Electric lines of force are:
A. Exist everywhere
B. Exist only in the immediate vicinity of electric charges
C. Exist only when both positive and negative charges are near one another
D. Are imaginary
| 3 |
Physics
|
Which of the following sequences of
taxa in the animal kingdom is correct?
A. Kingdom \( \rightarrow \) Phylum \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Family \( \rightarrow \)
Species\( \rightarrow \)Genus
B. Kingdom \( \rightarrow \) Phylum \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Family \( \rightarrow \) Genus \( \rightarrow \) Species
c. Kingdom\( \rightarrow \)Phylum\( \rightarrow \)Class\( \rightarrow \)Family\( \rightarrow \)Order\( \rightarrow \)
Genus \( \rightarrow \) Species
D. Phylum \( \rightarrow \) Kingdom \( \rightarrow \) Class \( \rightarrow \) family \( \rightarrow \) Order \( \rightarrow \) Genus \( \rightarrow \) Species
| 0 |
Biology
|
Given two independent events \( A, B \)
such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 3}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 6} \)
Determine
\( \boldsymbol{P}(\boldsymbol{A} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{n} \boldsymbol{o} \boldsymbol{B} \boldsymbol{B}) \)
| 2 |
Maths
|
Rain is falling vertically. A man running on the the road keeps his umbrella
tilted but a man standing on the street keeps his umbrella vertical to protect himself from the rain. But both of them
keep their umbrella vertical to avid the
vertical sun-rays. Explain.
| 3 |
Physics
|
What weight of \( C a C O_{3} \) must be decomposed to produce the sufficient quantity of carbon dioxide to convert
21.2 \( \mathrm{kg} \) of \( \mathrm{Na}_{2} \mathrm{CO}_{3} \) completely into
\( N a H C O_{3} \)
[Atomic mass \( N a=23, C a=40] \)
\( \boldsymbol{C a C O}_{3} \rightarrow \boldsymbol{C a O}+\boldsymbol{C O}_{2} \)
\( \mathbf{N} \boldsymbol{a}_{2} \boldsymbol{C} \boldsymbol{O}_{3}+\boldsymbol{C} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{a} \boldsymbol{H} \boldsymbol{C} \boldsymbol{O}_{3} \)
\( A \cdot 100 \mathrm{kg} \)
B. 20 kg
c. \( 120 \mathrm{kg} \)
D. 30 kg
| 1 |
Chemistry
|
A sphere of radius \( R \) has a volume
density of charge \( \rho=k r, \) where \( r \) is the
distance from the centre of the sphere
and \( k \) is constant. The magnitude of the
electric field which exits at the surface
of the sphere is given by:
\( \left(\varepsilon_{0}=\text { permittivity of free space }\right) \)
A \( \cdot \frac{4 \pi k R^{2}}{3 \varepsilon_{0}} \)
B. \( \frac{k R}{3 \varepsilon_{0}} \)
c. \( \frac{4 \pi k R}{\varepsilon_{0}} \)
D. \( \frac{k R^{2}}{4 \varepsilon_{0}} \)
| 3 |
Physics
|
Given: \( \boldsymbol{x}, \boldsymbol{y} \) and \( \boldsymbol{z} \) are integers and
\( \mathbf{3}^{x+5}=\mathbf{2 7}^{y+1}, \) then \( \boldsymbol{x} \) is even
A. True
B. False
| 2 |
Maths
|
The coefficient of restitution e for a
perfectly inelastic collision is:
\( \mathbf{A} \cdot \mathbf{1} \)
B.
\( c \cdot \alpha \)
\( D \)
| 3 |
Physics
|
Each of the following ion contains
vanadium in +5 oxidation state except:
A. \( V O_{2}^{\text {th }} \)
B. \( V(O H)_{4}^{+} \)
c. \( V O^{2+} \)
D \( \cdot\left[V O_{3} O H\right]^{2} \)
| 1 |
Chemistry
|
No matter how far you stand from a mirror, your image always appears erect. Then the mirror among the following is likely to be:
A. a plane mirror
B. a concave mirror
c. any type of mirror
D. none of the above
| 3 |
Physics
|
Dimerization of benzoic acid occurs in
benzene solution, then the relation
between van't Hoff factor \( i \) and amount
of association \( x \) is:
A \( \cdot i=(1-x) \)
B . \( i=(1+x) \)
c. \( i=\left(1-\frac{x}{2}\right) \)
D. \( i=\left(1+\frac{x}{2}\right) \)
| 1 |
Chemistry
|
Based on modern classification of
periodic table atomic number increases on moving from in
periodic table.
A . left to right
B. right to left
c. straight
D. none of these
| 1 |
Chemistry
|
\( f(-A) \) and \( C B \) are congruent, \( A C=12 \)
then find \( B C \).
4. 12
3.10
\( c \)
2.2
| 2 |
Maths
|
Following alkanes are wrongly named. Write their correct IUPAC names
(i) 2-Ethylbutane
(ii) \( 4- \) Methylpentane
(iii) 3,5 -Dimethylhexane
(iv) 5 -Ethyl-4
methylheptane
(v) 2,3 -Dimethyl-3 ethylpentane
(vi) 3 -Methyl-4 isopropylheptane (vii) 4-Ethyl-5-secbutyInonane
| 1 |
Chemistry
|
Calculate the wave number of the fourth
line of Balmer series.
| 1 |
Chemistry
|
A body takes time \( t \) to reach the bottom
of an inclined plane of angle \( \theta \) will the horizontal. if the plane made rough, time takes now is \( 2 t . \) The coefficient of
frcition of the rough surface is
A \( \cdot \frac{3}{4} \tan \theta \)
B. \( \frac{1}{2} \tan \theta \)
c. \( \frac{2}{5} \tan \theta \)
D. \( \frac{1}{4} \tan \theta \)
| 3 |
Physics
|
Which of the following will have the largest size in water?
\( \mathbf{A} \cdot R b^{-} \)
В. \( N a^{+} \)
\( c \cdot K^{+} \)
D. \( L i^{+} \)
| 1 |
Chemistry
|
Find the domain and range of each of the following real value functions:
\( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\boldsymbol{x}-1} \)
| 2 |
Maths
|
A square and a rectangular plot of land have same perimeter. If the square is of side \( 40 m \) and rectangle is of length 5 decameter. Then area of rectangle is
A \( \cdot 1500 m^{2} \)
В. \( 1600 m^{2} \)
c. \( 200 m^{2} \)
D. \( 150 m^{2} \)
| 2 |
Maths
|
The wrong unit conversion among the
following is
\( \mathbf{A} \cdot 1 \) angstrom \( =10^{-10} m \)
B. 1 fermi \( =10^{-15} \mathrm{m} \)
C \( . \) 1 light year \( =9.46 \times 10^{15} \mathrm{m} \)
D. 1 astronomical unit \( =1.496 \times 10^{-11} \mathrm{m} \)
| 3 |
Physics
|
Freon 12 is prepared from:
A. \( C C l_{4} \)
в. \( C H_{2} C l_{2} \)
c. \( C H C l_{3} \)
D. \( \operatorname{cocl}_{2} \)
| 1 |
Chemistry
|
The gradient or slope of the distancetime graph at any point gives
A. Acceleration
B. Displacement
c. velocity
D. Time
| 3 |
Physics
|
To separate a mixture of
monosaccharides, you would use:
A. Centrifuge
B. Chromatograph
c. Mass spectrometer
D. Electrolytic cell
E. Dialysis
| 1 |
Chemistry
|
Insert 20 AM between 2 and 86 .Then find
first mean.
| 2 |
Maths
|
Find the integrating factor of the
differential equation \( \left(\frac{e^{-2 \sqrt{x}}}{\sqrt{x}}-\frac{y}{\sqrt{x}}\right) \frac{d x}{d y}=1 \)
| 2 |
Maths
|
The biggest star in the night sky is
A. Rigel
B. sirius
c. Proxima centauri
D. Betelgeuse
| 3 |
Physics
|
\( \underbrace{\frac{-}{6}} \)
| 3 |
Physics
|
During photorespiration oxygen consuming reaction(s) occur in
A. Stroma of chloroplasts \& peroxisomes
B. Stroma of Chloroplasts
C. Grana of chloroplast and peroxisomes
D. Stroma of chloroplasts and mitochondria
| 0 |
Biology
|
If \( \cos \theta=\frac{1}{3}, \) then \( \tan \theta= \)
\begin{tabular}{l}
A \( \cdot 2 \sqrt{2} \) \\
\hline
\end{tabular}
B. 2
\( c \cdot \sqrt{2} \)
D. None of above
| 2 |
Maths
|
Electric field inside the capacitor is 100 \( \mathrm{V} / \mathrm{m} \) and dielectric constant \( =5.5 \)
What is the polarization?
| 3 |
Physics
|
If there are two de-Broglie waves formed in an orbit of H-atom then the energy of
electron in that orbit is.
A. \( -3.4 e V \)
B. \( -13.6 e V \)
c. \( -9.06 e V \)
D. \( 1.51 \mathrm{eV} \)
| 3 |
Physics
|
The frequency of a light wave in a material is \( 2 \times 10^{14} H z \) and wavelength is 5000 A. The refractive index of
material will be :
A . 1.50
B. 3.00
\( c .1 .33 \)
D. 1.40
| 3 |
Physics
|
In a DNA molecule, the phosphate group is attached to \( _{--} \) carbon of the sugar
residue of its own nucleotide
and \( _{-1-1} \) carbon of the sugar
residue of the next nucleotide
by bonds.
A. 5 ', 3 ', phosphodiester
B. 5', 3', glycosidic
c. 3 ', 5', phosphodiester
D. 3', 5', glycosidic
| 0 |
Biology
|
For the function \( f(x)=e^{x}, a=0, b=1 \)
the value of \( c \) in mean value theorem
will be
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \log (e-1) \)
\( c \cdot \log x \)
\( D \)
| 2 |
Maths
|
A balloon gets negatively charged by
rubbing ceilings of a wall.
A. This implies that the wall is positively charged.
B. This implies that the wall is negatively charged.
C. This does not imply that the wall is positively charged.
D. None of these
| 3 |
Physics
|
Power required to drive a centrifugal pump is directly proportional to of its impeller.
A. Cube of diameter
B. Fourth power of diameter
c. square of diameter
D. Diameter
| 3 |
Physics
|
A balloon is rising vertically up with a velocity of \( 29 \mathrm{ms}^{-1} . \) A stone is dropped
from it and it reaches the ground in 10 s. The height of the balloon when the stone
was dropped from it is: \( \left(\boldsymbol{g}=\mathbf{9 . 8 m} \boldsymbol{s}^{-1}\right) \)
\( \mathbf{A} \cdot 400 \mathrm{m} \)
B. \( 150 \mathrm{m} \)
c. \( 100 \mathrm{m} \)
D. 200m
| 3 |
Physics
|
Assertion
Statement-I : boiling point of alkyl halide increases with increase in
molecular weight.
Because
Reason
Statement-II : boiling point of alkyl halides are in the order \( R I>R B r> \)
\( \boldsymbol{R} \boldsymbol{C l}>\boldsymbol{R} \boldsymbol{F} \)
A. (A) Statement-I is true, Statement-II is true Statement-II is correct explanation for Statement-I
B. (B) Statement-I is true, Statement-II is true Statement-II is NOT a correct explanation for Statement-I.
c. (c) Statement-I is true, Statement-II is false
D. (D) Statement-I is false, Statement-II is true
| 1 |
Chemistry
|
Describe location, structure and
function of the nervous tissue.
| 0 |
Biology
|
A 0.001 molal solution of
\( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{C l}_{4}\right] \) in water has a freezing
point depression of \( 0.0054^{0} C . \) If \( K_{f} \) for water is \( 1.80, \) the correct formulation of
the above molecule is:
\( \mathbf{A} \cdot\left[P t\left(N H_{3}\right)_{4} C l_{3}\right] C l \)
B . \( \left[P t\left(N H_{3}\right)_{4} C l_{2}\right] C l_{2} \)
c. \( \left[P t\left(N H_{3}\right)_{4} C l_{2}\right] C l_{3} \)
D \( \cdot\left[P t\left(N H_{3}\right)_{4} C l_{4}\right] \)
| 1 |
Chemistry
|
Membrane bound Krebs cycle enzyme is
A. Fumarase
B. Cis-aconitase
c. succinic dehydrogenase
D. Malate dehydrogenase
| 0 |
Biology
|
A satellite is moving very close to a planet of density \( 8 \times 10^{3} k g m^{-3} . \) If \( G= \)
\( 6.67 \times 10^{-11} N m^{2} k g^{-2}, \) then the time
period of the satellite is nearly.
A. \( 420 s \)
B. \( 4200 s \)
c. 1 hour
D. 1 day
| 3 |
Physics
|
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 \( c m . \) If the bowl is filled with soup to a
height of \( 4 c m, \) then find the quantity of soup to be prepared daily in the hospital
to serve 250 patients.
A. 38.5 litres
B . 3.5 litres
c. 8.5 litres
D. None of these
| 2 |
Maths
|
A city has 20000 residents. Its population grows at the rate of \( 10 \% \) per annum, what will be its total population
after 5 years?
| 2 |
Maths
|
A resistance of \( \mathrm{R} \Omega \) draws current from
a potentiometer as shown in the figure.
The potentiometer has a total
resistance \( R_{0} \Omega . \) A voltage \( V \) is supplied
to the potentiometer. Derive an
expression for the voltage across \( \mathrm{R} \) when the sliding contact is in the
middle of the potentiometer.
| 3 |
Physics
|
Write uses of melamine plastic.
| 1 |
Chemistry
|
The discrete spectral lines of line
spectra occur when excitation of electrons takes place in
A. Solids
B. Liquids
c. Gases
D. Plastics
E. All of these
| 3 |
Physics
|
Find two solutions for each of the
following equations:
\( \mathbf{2} \boldsymbol{x}+\mathbf{3} \boldsymbol{y}+\mathbf{7}=\mathbf{0} \)
| 2 |
Maths
|
\( \Delta A P B \) is similar to \( \Delta C P D \)
State whether the above statement is
true or false.
| 2 |
Maths
|
What creates a colorful pattern through light entering the other end of Kaleidoscope?
A. Refraction from mirrors
B. Reflection from mirrors
c. Diffraction from mirrors
D. Deviation from mirrors
| 3 |
Physics
|
Solve \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}-\sin \boldsymbol{\theta}), \boldsymbol{y}=\boldsymbol{a}(\mathbf{1}+\cos \boldsymbol{\theta}) \)
find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} ? \)
| 2 |
Maths
|
Mixture can be of
\( \mathbf{A} \)
\( B \)
c. Both (a) and (b)
D. None of these
| 1 |
Chemistry
|
Write the definition of electric potential. Calculate the electric potential due to a point charge \( Q \) at a distance \( r \) from it. Draw a graph between electric potential Vand distance r for a point charge \( Q \)
| 3 |
Physics
|
Leaves of Nelumbo plant are
A. Epistomatic
B. Hypostomatic
c. Amphistomatic
D. None of the above
| 0 |
Biology
|
Which of the following is a noble gas?
A. \( H e \)
в. \( N_{2} \)
c. \( H_{2} \)
D. \( O_{2} \)
| 1 |
Chemistry
|
Choose the correct answers from the
alternatives given :
In certain organisms and under certain conditions, which of the following can be used as an energy alternative to glucose
A. fatty acids
B. glycerol
c. amino acids
D. all of these
| 0 |
Biology
|
Elements \( X, Y \) and \( Z \) have atomic numbers 19,37 and 55 respectively. Which of the following statements are true about them?
A. Their ionization potential would increase with increasing atomic number
B. Y would have an ionization potential between those of \( x \) and \( z \)
c. z would have the highest ionization potential
D. \( \mathrm{r} \) would have the highest ionization potential
| 1 |
Chemistry
|
The value of \( ^{10} \boldsymbol{C}_{1}+^{10} \boldsymbol{C}_{2}+^{10} \boldsymbol{C}_{3}+\ldots+ \)
\( ^{10} \mathrm{C}_{9} \) is
A \( .2^{10} \)
B . \( 2^{11} \)
\( c \cdot 2^{10}-2 \)
D. \( 2^{10}-1 \)
| 2 |
Maths
|
Prove the following identities :
\[
\begin{array}{ccc}
\boldsymbol{a}+\boldsymbol{b}+\mathbf{2 c} & \boldsymbol{a} & \boldsymbol{b} \\
\boldsymbol{c} & \boldsymbol{b}+\boldsymbol{c}+\mathbf{2} \boldsymbol{a} & \boldsymbol{b} \\
\boldsymbol{c} & \boldsymbol{a} & \boldsymbol{c}+\boldsymbol{a}+\boldsymbol{2} \boldsymbol{b}
\end{array} \mid=
\]
\( \mathbf{2}(\boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c})^{3} \)
| 2 |
Maths
|
If the function
\( f(x)=\frac{15^{x}-3^{x}-5^{x}+1}{x \tan x}, x \neq 0 \)
continuous at \( x=0, \) then find \( f(0) \)
| 2 |
Maths
|
If \( \vec{a}=2 \hat{i}+l \hat{j}-3 \hat{k} \) and \( \vec{b}=4 \hat{i}-3 \hat{j}- \)
\( 2 \hat{k} \) are perpendicular to each other then
find the value of scalar \( \lambda \)
| 2 |
Maths
|
Value of v for which particle hit vertical
walls \( n \) times is \( \left(x n+\frac{5}{2}\right) \mathrm{m} / \mathrm{s} \) and
finally hit the point \( A \) which is the centre point between the two vertical walls (all collison are elastic) Find \( x \)
\( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
| 3 |
Physics
|
If \( \boldsymbol{S}=\mathbf{1}+\frac{\mathbf{1}}{\mathbf{2}}+\frac{\mathbf{1}}{\mathbf{4}}+\frac{\mathbf{1}}{\mathbf{8}}+\frac{\mathbf{1}}{\mathbf{1 6}}+\frac{\mathbf{1}}{\mathbf{3 2}}+ \)
\( \dots \infty \)
then, the sum of the given series is 2
A. True
B. False
| 2 |
Maths
|
How many constitutional isomer of \( C_{7} H_{15} C l \) will form in the radical chain
chlorination of 2,4 -dimethylpentane?
A. 7
B. 6
\( c .5 \)
D. 3
| 1 |
Chemistry
|
How can an electromagnet be made stronger?
A. Add more coils of wire.
B. Add an iron core.
c. Increase the voltage.
D. All of these answers are correct
| 3 |
Physics
|
The solution set of \( |\boldsymbol{3}-\boldsymbol{x}|=\boldsymbol{a} \) is?
A \( \cdot\{3-a, 3+a\} \) for \( a \geq 0 \) and \( \phi \) for \( a<0 \)
В. \( [3-a, 3+a] \)
\( c \cdot \phi \)
D. None of these
| 2 |
Maths
|
Solve: \( 4 x+\frac{6}{y}=15 \) and \( 6 x-\frac{8}{y}=14 \)
Hence find the value of \( k, \) if \( y=k x-2 \)
A \( \cdot x=4, y=1 \) and \( k=\frac{2}{3} \)
в. \( x=5, y=3 \) and \( k=\frac{3}{5} \)
c. \( _{x}=3, y=2 \) and \( k=\frac{4}{3} \)
D. \( x=1, y=2 \) and \( k=\frac{9}{2} \)
| 2 |
Maths
|
Find the modulus and the argument of the complex number \( z=-\sqrt{3}+i \)
| 2 |
Maths
|
Short / Long type answer type
questions. Draw a simple diagrammatic sketch of
the internal structure of human heart.
Label the different chambers and the
valves.
| 0 |
Biology
|
Locate the points representing the complex number for which \( \log _{1 / 2} \frac{|z-1|+4}{|z-1|-2}>1 \)
| 2 |
Maths
|
Phenyl magnesium bromide reacting
with t-Butyl alcohol gives:
A. \( P h-O H \)
в. \( P h-H \)
\( c \)
\( D \)
| 1 |
Chemistry
|
The solution of the differential equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\tan \left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right)+\frac{\boldsymbol{y}}{\boldsymbol{x}} \) is:
A \( \cdot \cos \left(\frac{y}{x}\right)=c x \)
B. \( \sin \left(\frac{y}{x}\right)=c x \)
\( \mathbf{c} \cdot \cos \left(\frac{y}{x}\right)=c y \)
D \( \cdot \sin \left(\frac{y}{x}\right)=c y \)
| 2 |
Maths
|
Bond lengths which are present in diamond is:
A. \( 234 \mathrm{pm} \)
B. 154 pm
\( c . \) 900 pm
D. 600 pm
| 1 |
Chemistry
|
Which of the following statements is
not true?
A. Silk is a protein
B. Polyurethane foams are used for making pillows
C. HDPE is prepared by Ziegler Natta polymerization
D. Viscose fabric is not made from cellulose
| 1 |
Chemistry
|
Let \( m \) and \( n(m<n) \) be the roots of the
equation \( \boldsymbol{x}^{2}-\mathbf{1 6 x}+\mathbf{3 9}=\mathbf{0 .} \) If four
terms \( p, q, r \) and \( s \) are inserted between
\( m \) and \( n \) form an \( A P, \) then what is the
value of \( \boldsymbol{p}+\boldsymbol{q}+\boldsymbol{r}+\boldsymbol{s} ? \)
A . 29
B. 30
\( c \cdot 32 \)
D. 35
| 2 |
Maths
|
A square box of water has a small hole
located in one of the bottom corners.
When the box is full and sitting on a level surface, complete opening of the hole results in a flow of water with a
speed \( v_{0}, \) as shown in fig. When the box
is still half empty, it is tilted by \( 45^{\circ} \) so
that the hole is at the lowest point. Now the water will flow out with a speed of:
A \( \cdot v_{0} \)
B. \( v_{0} \cdot 2 \)
c. \( \frac{v_{0}}{\sqrt{2}} \)
D. \( \frac{v_{0}}{\sqrt[4]{2}} \)
| 3 |
Physics
|
(a) State the names of two elements
that produce nuclear energy.
(b) What are high and low tides?
| 3 |
Physics
|
The heat of combustion of benzene at
\( 27^{\circ} \mathrm{C} \) found by bomb calorimeter i.e. for
the reaction \( C_{6} H_{6(l)}+7 \frac{1}{2} O_{2(g)} \rightarrow \)
\( \mathbf{6} C O_{2(g)}+\mathbf{3} H_{2} O_{(l)} \) is 780 K.Cal \( m o l^{-1} \)
The heat evolved on burning 39 g of benzene in an open vessel will be
A. 390 K.Cal I
B. 780.9 K.Cal
c. 390.45 K.Cal
D. 780 K.Cal
| 1 |
Chemistry
|
The total energy of the electron of \( \boldsymbol{H} \) atom in the second quantum state is
\( -\boldsymbol{E}_{2} . \) The total energy of the \( \boldsymbol{H} \boldsymbol{e}^{+} \) atom in the third quantum state is:
\( ^{\mathrm{A}} \cdot-\left(\frac{3}{2}\right) E_{2} \)
в. \( -\left(\frac{2}{3}\right) E_{2} \)
c. \( -\left(\frac{4}{9}\right) E_{2} \)
D. \( -\left(\frac{16}{9}\right) E_{2} \)
| 1 |
Chemistry
|
Solve the following inequalities. \( \log _{1 / 2}\left(x^{2}+2 x+4\right)>-2 \)
| 2 |
Maths
|
A body of mass \( 2 k g \) slides down a plane
inclined at an angle of \( 30^{\circ} \) with horizontal. The co-efficient of friction between the body and the plane is \( \sqrt{\frac{3}{2}} \) What force must be applied on the body so that it moves down without
acceleration?
A. \( 11 N \)
в. \( 14.7 \sqrt{2} N \)
c. zero
D. None of these
| 3 |
Physics
|
Does the following series form an \( \boldsymbol{A P} \) ?
\( 0.2,0.22,0.222,0.2222, \ldots . \)
A. Yes
B. No
c. Ambiguous
D. Data insufficient
| 2 |
Maths
|
A hollow insulated conduction sphere is
given a positive charge of \( 10 \mu C . \) What
will be the electric field at the centre of
the sphere if its radius is 2 metres?
A. zero
в. \( 5 \mu C m^{-2} \)
\( c \cdot 20 \mu C m^{-2} \)
D. \( 8 \mu C m^{-2} \)
| 3 |
Physics
|
Find the area between the \( x \) -axis and
the curve \( y=\sin x \) from \( x=0 \) to \( x=2 \pi \)
| 2 |
Maths
|
An object of mass \( m \) is released from
rest from the top of a smooth inclined
plane of height \( h \). Its speed at the
bottom of the plane is proportional to:
\( \mathbf{A} \cdot m^{0} \)
в. \( m \)
\( c \cdot m^{2} \)
D. \( m^{-1} \)
| 3 |
Physics
|
Can you say, whether the compound in
the attached image numbered as 9 is \( \mathrm{E} \)
or \( Z \) isomer?
\( \mathbf{1 0} \)
A. E isomer
B. Z isomer
\( c \cdot \) Both
D. None of these
| 1 |
Chemistry
|
Equipotential surfaces are shown in fig,
then the electric field strength will be
A . \( 100 \mathrm{Vm}-1 \) along \( \mathrm{X} \) -axis
B. \( 100 \mathrm{Vm}-1 \) along \( \mathrm{Y} \) -axis
c. \( 200 \mathrm{Vm}-1 \) at an angle \( 120^{\circ} \) wirh \( \mathrm{x} \) -axis
D. 50 Vm-1 at an angle \( 180^{\circ} \) wirh \( x \) -axis
| 3 |
Physics
|
Find the arguments of \( z_{1}=5+ \)
\( \mathbf{5} i, z_{2}=-4+4 i, z_{3}=-3-3 i \) and
\( z_{4}=2-2 i, \) where \( i=\sqrt{-1} \)
| 2 |
Maths
|
A ray of light enters a medium of
refractive index \( \mu_{m} . \) It is observed that
the angle of refraction is half the angle of incidence. Then, the angle of incidence will be :
\( \mathbf{A} \cdot \cos ^{-1} \mu \)
B \( \cdot 2 \cos ^{-1} \frac{\mu}{2} \)
\( c \cdot 2 \cos ^{-1} \mu \)
D. \( \cos ^{-1} \frac{\mu}{3} \)
| 3 |
Physics
|
Can white light produce interference?
What is the nature?
| 3 |
Physics
|
A sphere of mass \( m_{1} \) in motion hits
directly another sphere of mass \( m_{2} \) at
rest and sticks to it, the total kinetic
energy after collision is \( 2 / 3 \) of their total
K.E before the collision. Find the ratio
\( \boldsymbol{m}_{1}: \boldsymbol{m}_{2} \)
| 3 |
Physics
|
Which one of the following is an amphoteric oxide?
A \( \cdot M n_{2} O_{7} \)
в. \( C r O \)
\( \mathrm{c} \cdot V_{2} \mathrm{O}_{4} \)
D. \( C r_{2} O_{3} \)
E. \( V_{2} O_{3} \)
| 1 |
Chemistry
|
If the temperature of a Black body increases by \( 50 \% \) then amount of radiation emmitted by it in a given time interval will
A. Increase by \( 800 \% \)
B. Increase by 400\%
c. Increase by 200\%
D. Increase by 1600\%
| 3 |
Physics
|
If there are ' \( n \) ' arithmetic means
between \( a \) and \( b \), then the common
difference \( (\boldsymbol{d})= \)
A \( \cdot \frac{a-b}{n+1} \)
в. \( \frac{b-a}{n+1} \)
c. \( \frac{a+b}{n-1} \)
D. \( \frac{b-a}{n-1} \)
| 2 |
Maths
|
Toxic agents present in food, which interfere with thyroxine synthesis lead to the development of
A . Goitre
B. Thyrotoxicosis
c. Diabetes
D. Cretinism
| 0 |
Biology
|
The electrical charge on a colloidal particle is indicated by :
A. Brownian movement
B. electrophoresis
c. ultra microscope
D. molecular sieves
| 1 |
Chemistry
|
The following compounds are:
A. geometrical isomers
B. positional isomers
c. optical isomers
D. functional group isomers
| 1 |
Chemistry
|
The compound which gets dissolved in
water is :
A. \( C_{2} H_{6} \)
в. \( C_{2} H_{4} \)
c. \( C_{2} H_{2} \)
D. \( C_{2} H_{5} O H \)
E \( \cdot C_{3} H_{8} \)
| 1 |
Chemistry
|
Which one of the following can more readily donate the lone pair?
A . \( \mathrm{NH}_{3} \)
в. \( \mathrm{PH}_{3} \)
c. \( \mathrm{AsH}_{3} \)
D. \( \operatorname{BiH}_{3} \)
| 1 |
Chemistry
|
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