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Which of the following is an example of
weak electrolyte?
A \( \cdot C H_{3} C O O H \rightarrow C H_{3} C O O^{-}+H^{+} \)
в. \( K O H \rightarrow K^{+}+O H^{-} \)
\( \mathrm{c} \cdot A g N O_{3} \rightarrow A g^{+}+N O_{3} \)
D. all of the above
| 1 |
Chemistry
|
A buffer solution of \( 0.80 M N a_{2} H P O_{4} \)
and \( 0.020 M N a_{3} P O_{4} \) is prepared. The
electrolytic oxidation of 1.0 milli mole RNHOH is carried out in \( 100 m L \)
buffer to give.
\( \boldsymbol{R} \boldsymbol{N} \boldsymbol{H} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{R} \boldsymbol{N} \boldsymbol{O}_{2}+ \)
\( 4 H^{+}+4 e \)
Calculating approximate \( p H \) (nearest integer) of the solution after oxidation
is complete. \( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{1}}, \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{2}} \) and \( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}_{3}} \) of
\( H_{3} P O_{4} \) are 2.12,7.20 and 12.0
respectively.
| 1 |
Chemistry
|
Calculate the mean deviation from the
median of the following data.
\[
\begin{array}{llll}
\begin{array}{l}
\text { Wages } \\
\text { per } \\
\text { week }
\end{array} & \begin{array}{l}
\mathbf{1 0}- \\
\mathbf{2 0}
\end{array} & \begin{array}{l}
\mathbf{2 0}- \\
\mathbf{3 0}
\end{array} & \begin{array}{l}
\mathbf{3 0}- \\
\mathbf{4 0}
\end{array} \\
\begin{array}{l}
\text { No. of } \\
\text { workers }
\end{array} & 4 & 6 & 10
\end{array}
\]
| 2 |
Maths
|
A wave of frequency 500 Hz has a phase velocity of \( 360 \mathrm{m} / \mathrm{s} \). The phase difference between the two displacements at a certain point in a time interval of \( 10^{-3} \) seconds will be
how much?
A \( \cdot \frac{\pi}{2} \) radian
B. \( \pi \) radian
c. \( \frac{\pi}{4} \) radian
D. \( \frac{\pi}{8} \) radian
| 3 |
Physics
|
Match following
| 3 |
Physics
|
For the reaction \( \boldsymbol{P} \boldsymbol{C l}_{5}_{5} \rightleftharpoons \boldsymbol{p} \boldsymbol{C l}_{3(g)}+ \)
\( C l_{2(g)}, \) the forward reaction at constant
temperature is favoured by:
A. introducing an inert gas at constant volume
B . introducing \( C l_{2} \) at constant volume
C . introducing \( P C l_{5} \) at constant volume
D. reducing the volume of the container
| 1 |
Chemistry
|
A centrifuge starts rotating from rest
and reaches a rotational speed of 8,000 radians/sec in 25 seconds. Calculate
the angular acceleration of the
centrifuge?
A. 160 radians \( / \)sec\( ^{2} \)
B. 320radians/sec^
c. 640 radians / sec \( ^{2} \)
D. 10,000 radians \( / \)sec\( ^{2} \)
E .20,000 radians / sec \( ^{2} \)
| 3 |
Physics
|
The electron in a hydrogen atom makes
a transition \( n_{1} \rightarrow n_{2} \) where \( n_{1} \) and \( n_{2} \)
are principal quantum numbers of two states. Assume the Bohr model to be
valid. The time period of the electron in the initial state is eight times that in
the final state. Then the possible value
of \( n_{1} \) and \( n_{2} \) is/are:
\( \mathbf{A} \cdot n_{1}=2, n_{2}=1 \)
B \( . n_{1}=1, n_{2}=2 \)
\( \mathbf{c} \cdot n_{1}=4, n_{2}=2 \)
D \( . n_{1}=6, n_{2}=3 \)
E \( . n_{1}=6, n_{2}=4 \)
| 1 |
Chemistry
|
If \( n^{t h} \) term of an A.P. is \( 2 n+1 \), then find
its common difference.
| 2 |
Maths
|
Among i-iii the boiling point follows the
order.
(i)
(ii)
(iii)
A \( . i i<i< \) ii \( i \)
B . \( i i i<i i<i \)
c. \( i<i i< \) ii \( i \)
D. \( i i<i i i<i \)
| 1 |
Chemistry
|
Which one of the following properties is not generally exhibited by ionic compounds?
A. Solubility in water
B. Electrical conductivity in solid state
c. High melting and boiling points
D. Electrical conductivity in molten state
| 1 |
Chemistry
|
Light of wavelength \( \lambda_{1} \) enters a medium
with refractive index \( n_{2} \) from a medium
with refractive index \( n_{1} \). What is the
wavelength of light in second medium?
| 3 |
Physics
|
Magnetic lines of force around any
current carrying conductor are circular in nature.
| 3 |
Physics
|
An object is displaced from point \( \mathrm{A}(2 \mathrm{m} \) \( 3 m, 4 m) \) to a point \( B(1 m, 2 m, 3 m) \) under a constant force \( \overrightarrow{\boldsymbol{F}}= \) \( (2 \hat{i}+3 \hat{j}+4 \hat{k}) N . \) Find the work done by this force in this process.
A. \( -9 J \)
\( J \)
B. \( 9 J \)
c. \( -18 J \)
D. \( 18 J \)
| 3 |
Physics
|
If \( \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}=\boldsymbol{\pi} \) and \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \) are
angles of \( \triangle ; \) then \( \sin A+\sin B+\sin C \)
is
\( ^{A}=\frac{3 \sqrt{3}}{2} \)
B. \( <\frac{3 \sqrt{3}}{2} \)
\( ^{c}>\frac{3 \sqrt{3}}{2} \)
D. none of these
| 2 |
Maths
|
The base current of a transistor is
\( 105 \mu A \) and the collector current is
\( 2.05 m A . \) Then \( \beta \) of the transistor is
\( \mathbf{A} \cdot 1.952 \)
B. 19.52
c. 195.2
D. 1952
| 3 |
Physics
|
Construct a \( 2 \times 2 \) matrix \( A=\left[a_{i j}\right] \) whose element \( a_{i j} \) is \( a_{i j}=\frac{(i-2 j)^{2}}{2} \)
| 2 |
Maths
|
A brown coloured mixture of two gases
is obtained by the reduction of 6N nitric acid with metallic copper. This mixture on cooling condenses to a blue liquid which on freezing \( \left(-30^{\circ} \mathrm{C}\right) \) gives a blue solid. The correct choice for blue liquid
or solid is :
A. it is referred to as the anhydride of nitrous acid
B. it is an acidic oxide and hence dissolves in alkalies producing nitrites.
C . it can also be prepared by the action of 50\% \( \mathrm{H} \mathrm{NO}_{3} \) on arsenious oxide and then cooling to \( 250 \mathrm{K} \)
D. all of the above
| 1 |
Chemistry
|
Which of the following do not have stomata?
A. Xerophytes
B. Mesophytes
c. Hydrophytes
D. Submerged hydrophytes
| 0 |
Biology
|
Which of the following statements
is/are correct?
This question has multiple correct options
A. Spontaneous adsorption of gases on solid surface is an exothermic process as entropy decreases during adsorption.
B. Formation of micelles takes place when temperature is below Kraft temperature ( \( T_{k} \) ) and concentration is above critical micelle concentration (CMC)
C. A colloid of \( \mathrm{Fe}(\mathrm{OH})_{3} \) is prepared by adding a little excess (required to completely precipitate \( F e^{3+} \) ion as \( F e(O H)_{3} \) ) of \( N a O H \) in \( F e C l_{3} \) solution. The particles of this sol will move towards cathode during electrophoresis
D. According to Hardy-Schulze rule, the coagulation (flocculating) value of \( F e^{3+} \) ion will be more than \( B a^{2+} \) or \( N a^{+} \)
| 1 |
Chemistry
|
A bullet is fired vertically upwards with velocity \( v \) from the surface of a
spherical planet. When it reaches its maximum heights, its acceleration due
to the planet's gravity is \( 1 / 4 \) th of its value at the surface of the planet. If the
escape velocity from the planet is \( \boldsymbol{v}_{e s c}=\boldsymbol{v} \sqrt{\boldsymbol{N}}, \) then the value of \( \mathrm{N} \) is
(ignore energy loss due to atmosphere)
| 3 |
Physics
|
The maximum value of \( \sin ^{2} x \cos ^{3} x \) is
A \( \cdot \frac{6 \sqrt{3}}{25 \sqrt{5}} \)
В. \( \frac{9 \sqrt{3}}{25 \sqrt{5}} \)
c. \( \frac{9 \sqrt{2}}{6 \sqrt{5} / 5} \)
D. \( \frac{\sqrt{2}}{\sqrt{5}} \)
| 2 |
Maths
|
Account for the following:
(a) \( N i(C O)_{4} \) is tetrahedral
(b) \( \left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{N})_{4}\right]^{2-} \) is square planar
(c) \( \left[N i\left(N H_{3}\right)_{6}\right]^{2+} \) is octahedral
| 1 |
Chemistry
|
\( A B C D \) is a rectangle with \( A(-1,2) \) \( B(3,7) \) and \( A B: B C=4: 3 . \) If \( P \) is
the centre of the rectangle then the distance of \( P \) from each corner is equal
to
A \( \cdot \frac{\sqrt{41}}{2} \)
B. \( \frac{3 \sqrt{41}}{4} \)
c. \( \frac{2 \sqrt{41}}{3} \)
D. \( \frac{5 \sqrt{41}}{8} \)
| 2 |
Maths
|
Which is/are correct representation of boranes?
This question has multiple correct options
\( \mathbf{A} \cdot B_{n} H_{n+4} \)
В. \( B_{n} H_{n+6} \)
\( \mathbf{c} \cdot B_{n} H_{2 n+2} \)
D. None of these
| 1 |
Chemistry
|
For the hydrolysis of methyl acetate in aqueous solution, the above tabulated results were obtained:
(i) Show that it follow pseudo first order
reaction as the concentration of water
remains constant.
(ii) Calculate the average rate of reaction between the time interval 30 to
60 seconds.
(Given log \( 2=0.3010, \) log \( 4=0.6021 \) )
\begin{tabular}{|c|c|c|c|}
\hline \( \mathrm{t} / \mathrm{s} \) & 0 & 30 & 60 \\
\hline \( \mathrm{c} \mathrm{CH}_{3} \mathrm{COOH}_{3} \) & \( / \mathrm{moll}^{-1} \) & 0.60 & 0.30 & 0.15 \\
\hline
\end{tabular}
| 1 |
Chemistry
|
An electron in an atom revolves around
0
the nucleus in an orbit of radius \( 0.53 A \)
Calculate the equivalent magnetic moment, if the frequency of revolution of electron is \( 6.8 \times 10^{9} M H z( \) Given :
\( \left.e=1.6 \times 10^{-19}\right) \)
| 3 |
Physics
|
If two sides of an isosceles \( \Delta \) are \( 3 \mathrm{cm} \)
and \( 8 \mathrm{cm}, \) then the length of the third side is :
\( \mathbf{A} \cdot 3 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c .3 \mathrm{cm} \) or \( 8 \mathrm{cm} \)
D. none
| 2 |
Maths
|
When a body is stationary, then:
A. there is no force acting on it.
B. the body is in vacuum.
C. the forces acting on it are not in contact with it.
D. the net forces acting on it balance each other.
| 3 |
Physics
|
An aqueous solution of \( 2 \% \) non-volatile
solute exerts a pressure of 1.004 bar at the normal boiling point of the solvent.
What is the molecular mass of the
solute?
A \( .23 .4 \mathrm{gmol}^{-1} \)
B . \( 41.35 \mathrm{gmol}^{-1} \)
c. \( 10 \mathrm{gmol}^{-1} \)
D. 20.8 gmol-
| 1 |
Chemistry
|
Arun and Tarun appeared for an
interview for two vacancies. The
probability of Arun's selection is \( \frac{1}{4} \) and that of Tarun's rejection is \( \frac{2}{3} . \) Find the probability that at least one of them will
be selected.
| 2 |
Maths
|
An ideal aqueous solution containing liquid \( \boldsymbol{A}(M \cdot W \boldsymbol{t}=\mathbf{1 2 8}) \mathbf{6 4 \%} \) by weight
has a vapour pressure of \( 145 m m H g \). If
the vapour pressure of \( \boldsymbol{A} \) is \( \boldsymbol{x} \) mm of \( H g \) and that of water is \( 155 m m H g \) at the same temperature. Then find \( \frac{x}{5} . \) The solutions is ideal.
| 1 |
Chemistry
|
One reaction that occurs in producing steel from iron ore is the reduction of
iron ore(II) by carbon monoxide to give iron metal and carbon dioxide. The
equilibrium constant \( \boldsymbol{K}_{\boldsymbol{p}} \) for the
reaction at \( 1000 \mathrm{K} \) is \( 0.259 . F e O+ \)
\( \boldsymbol{C O} \leftrightharpoons \boldsymbol{F} \boldsymbol{e}+\boldsymbol{C O}_{2} . \) If the initial partial
pressure of \( \mathrm{CO} \) and \( C \mathrm{O}_{2} \) are 1 atm and
0.5 atm respectively, the equilibrium
partial pressures of \( \mathrm{CO} \) and \( \boldsymbol{C O}_{2} \) at
1000K are :
A. 1.191 atm, 0.309 atm
B. 0.309 atm, 1.191 atm
c. 1.191 atm for both
D. 0.309 atm for both
| 1 |
Chemistry
|
A liquid P of specific heat capacity \( 1800 J k g^{-1} K^{-1} \) and at \( 80^{\circ} \mathrm{C} \) is mixed
with liquid \( R \) of specific heat capacity \( 1200 J k g^{-1} K^{-1} \) and at \( 30^{\circ} \mathrm{C} . \) After
mixing, the final temperature of
mixture is \( 50^{\circ} \mathrm{C} . \) In what proportion by weight are the liquids mixed?
| 3 |
Physics
|
The distance between two consecutive
points in the same phase is called
A. Pitch
B. Velocity
c. wavelength
D. Period
| 3 |
Physics
|
The distance AC is :
A . \( 20 \mathrm{m} \)
B. 30 \( m \)
\( c \cdot 40 m \)
D. \( 50 \mathrm{m} \)
| 3 |
Physics
|
Formation of ammonium sulphate from ammonia and dil sulphuric acid is given by :
\( \mathbf{A} \cdot 3 N H_{3}+H_{2} S O_{4} \rightarrow\left(2 N H_{4}\right)_{2} S O_{4} \)
B \( \cdot 2 N H_{3}+H_{2} S O_{4} \rightarrow\left(N H_{4}\right)_{2} S O_{4} \)
\( \mathbf{c} \cdot 2 N H_{3}+3 H_{2} S O_{4} \rightarrow\left(N H_{4}\right)_{2} S O_{4} \)
\( \mathrm{D} \cdot 2 \mathrm{NH}_{3}+2 \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4} \)
| 1 |
Chemistry
|
An electron of mass 'm' and charge 'w' initially at rest gets accelerated by a constant electric field 'E'. The rate of
change of de-Broglie wavelength of this electron at time 't' ignoring relativistic effects is
\( ^{A} \cdot-\frac{h}{e E t^{2}} \)
B. \( -\frac{e h t}{E} \)
c. \( -\frac{m h}{e E t^{2}} \)
D. \( \frac{h}{e E} \)
| 3 |
Physics
|
Select the correct statements:
This question has multiple correct options
A. The value of \( Q_{c} \) for a given reaction is constant.
B. A change in the physical state of a gaseous product shows a change in the value of equilibrium constant of that reaction.
C the value of ratio \( \frac{Q_{c}}{K_{c}} \) can be used to predict the direction in which a system will proceed spontaneously towards equilibrium.
D. The rate constants for forward and backward reaction
for a reversible reaction always increases with temperature but their ratio \( \left(i . e ., \frac{K_{f}}{K_{b}}\right) \) may increase or decrease with temperature.
| 1 |
Chemistry
|
Select the correct option(s) for ab ideal
gas:
This question has multiple correct options
A. Most probable speed increases with increases in temperature
B. Fraction of particles moving with most probable speed increase with increases in temperature
C. Fraction of particles moving with most probable speed are more for \( C l_{2} \) than \( H_{2} \) under similar condition of \( T \)
\( P \& V \)
D. Most probable speed is more for \( C l_{2} \) than \( H_{2} \) at same temperature
| 1 |
Chemistry
|
Find the value of \( (27)^{-\frac{2}{3}}+ \)
\( \left(\left(2^{-\frac{2}{3}}\right)^{-\frac{5}{3}}\right)^{-\frac{9}{10}} \)
A \( \cdot \frac{1}{9} \)
B. \( \frac{2}{9} \)
c. \( \frac{11}{18} \)
\( D \)
| 2 |
Maths
|
1 L of \( 0.15 M H C l \) and 1 L of \( 0.3 M \)
\( H C l \) is given. What is the maximum
volume of \( 0.2 M H C l \) which one can
make from these two solutions? No
water is added.
\( \mathbf{A} \cdot 1.2 L \)
B. \( 1.5 L \)
c. \( 1.3 L \)
D. \( 1.4 L \)
| 1 |
Chemistry
|
A short bar magnet of magnetic
moment \( 0.4 J T^{-1} \) is place in a uniform
magnetic field of 0.16 T. The magnet is stable equilibrium when the potential energy is
\( \mathbf{A} \cdot-0.064 J \)
B. zero
c. \( -0.082 J \)
D. 0.064
| 3 |
Physics
|
For the equation \( \boldsymbol{x}^{2}-(\boldsymbol{k}+\mathbf{1}) \boldsymbol{x}+\left(\boldsymbol{k}^{2}+\right. \)
\( k-8)=0 \) if one root is greater then 2
and other is less than 2 , then \( k \) lies
between
A . \( -2 \& 3 \)
B. 2 \& - 2
c. \( 2 \&-3 \)
D. None of these
| 2 |
Maths
|
Solve \( 2 \cos ^{2} \theta+\sin \theta \leq 2 \) where \( \pi / 2 \leq \)
\( \theta \leq 3 \pi / 2 \)
| 2 |
Maths
|
Sum \( 1, \sqrt{3}, 3, \dots \) to 12 terms.
| 2 |
Maths
|
Which of the following metals is obtained by leaching the ore with dilute cyanide solution?
A. Silver
B. Titanium
c. Vanadium
D. zinç
| 1 |
Chemistry
|
Which of the following is not a method of refining of metals?
A. Electrolysis
B. Smelting
c. Poling
D. Liquation
| 1 |
Chemistry
|
The current birth rate per thousand is
\( 32, \) whereas the corresponding death
rate is 11 per thousand. The net growth rate in terms of population increase in per cent is given by,
A. \( 0.0021 \% \)
and \( 6.0021 \% \)
B. \( 0.021 \% \)
\( c \cdot 2 \cdot 1 \% \)
D. \( 21 \% \)
| 2 |
Maths
|
Multiple Correct Answers Type The values of measurement of a
physical quantity in five trials were found to be 1.51,1.53,1.53,1.52 and
\( \mathbf{1 . 5 4} . \) Then
A. Average absolute error is 0.01
B. Relative error is 0.01 .
c. Percentage error is \( 0.01 \% \)
D. Percentage error is \( 1 \% \).
| 3 |
Physics
|
If \( \frac{a}{b}=\frac{2}{3}, \) then find the value of \( \frac{4 a+3 b}{3 b} \)
| 2 |
Maths
|
A balanced chemical equation
supports
A. Law of chemical equilibrium
B. Law of conservation of energy
C. Law of conservation of mass
D. None of these
| 1 |
Chemistry
|
A solid fuel formed by heating coal in the absence of air is:
A. hydrogen
B. coke
c. methane
D. coal tar
| 1 |
Chemistry
|
Theory of chemiosmosis was
propounded by
A. Mitchell
B. Kok
c. Arnold
D. Calvin
| 0 |
Biology
|
A vector \( \vec{r} \) is equally inclined with the
coordinate axes. If the tip of \( \vec{r} \) is in the
positive octant and \( |\boldsymbol{r}|=\mathbf{6}, \) then \( \overrightarrow{\boldsymbol{r}} \) is
A \( \cdot 2 \sqrt{3}(\hat{i}-\hat{j}+\widehat{k}) \)
B \( \cdot 2 \sqrt{3}(-\hat{i}+\widehat{j}+\widehat{k}) \)
c. \( 2 \sqrt{3}(\hat{i}+\widehat{j}-\widehat{k}) \)
D \( \cdot 2 \sqrt{3}(\hat{i}+\hat{j}+\widehat{k}) \)
| 2 |
Maths
|
Solve for a
\( \frac{3 a-2}{7}-\frac{a-2}{4}=2 \)
| 2 |
Maths
|
Old tin plates can be reused by removing the coating of tin on the metal. This saves a lot of money on
buying new metal. The tin is removed
with the help of:
A. Solvents
B. Metal brushes
c. oxygen
D. Chlorine
| 1 |
Chemistry
|
\( \lim _{x \rightarrow \infty} \frac{\sqrt{x^{2}+1}-\sqrt[3]{x^{3}+1}}{\sqrt[4]{x^{4}+1}-\sqrt[5]{x^{4}+1}} \) is
equals to
A .
B.
c. -1
D. None of these
| 2 |
Maths
|
In the formula of brown ring complex
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}(\boldsymbol{N O})\right] \boldsymbol{S} \boldsymbol{O}_{4}, \) the magnetic
moment is 3.87 B.M. The oxidation state
of Fe and number of unpaired electrons present respectively are :
\( \mathbf{A} \cdot 1+, 3 \)
в. \( 2+, 3 \)
c. \( 3+, 3 \)
D. \( 3+, 5 \)
| 1 |
Chemistry
|
Which one carries extra nuclear genetic material?
A. Plastid
B. Ribosomes
c. chromosomes
D. Golgi complex
| 0 |
Biology
|
Simplify:
\( (8 a-5 b)^{2} \)
| 2 |
Maths
|
Second and fourth term of on A.P. is 12
and 20 respectively. Find the sum of
first 25 terms of the A.P.
| 2 |
Maths
|
A particle undergoes SHM. When its displacement is \( 8 \mathrm{cm}, \) it has speed 3 \( \mathrm{m} / \mathrm{s} \) and a speed \( 4 \mathrm{m} / \mathrm{s} \) at displacement of \( 6 \mathrm{cm} . \) Find time period of oscillation.
A . \( 4 \pi \)
в. \( 6 \pi \)
c. \( 7 \pi \)
D. \( 8 \pi \)
| 3 |
Physics
|
Expand using Binomial Theorem \( \left(1+\frac{x}{2}-\frac{2}{x}\right)^{4}, x \neq 0 \)
| 2 |
Maths
|
Find the distance the rain drop has fallen in \( t=3 s: \)
A. \( 12 \mathrm{m} \)
в. 22.5 m
c. \( 2.5 \mathrm{m} \)
D. 7.2 \( m \)
| 3 |
Physics
|
Assertion
Archaebacteria are able to survive in
harsh habitats.
Reason
Presence of peptidoglycan in cell wall
help archaebacteria to survive in extreme conditions.
A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
c. If assertion is true but reason is false.
D. If both assertion and reason are false
| 0 |
Biology
|
A \( 6 k g \) block is kept over a rough surface
with coefficients of friction \( \mu_{s}= \)
0.6 and \( \mu_{4}=0.4 \) as shown in figure.
time varying force \( \boldsymbol{F}=\mathbf{4} \boldsymbol{t}(\boldsymbol{F} \) in newton
and \( t \) in \( \operatorname{second} \) ) is applied on the block
as shown. Plot a graph between acceleration of block and time. (Take
\[
\begin{array}{c}
\left.\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \\
\boldsymbol{6} \mathbf{k g} \quad \boldsymbol{6} \mathbf{k g} \\
\boldsymbol{\mu}_{\mathbf{5}}=\mathbf{0 . 6} \\
\boldsymbol{\mu}_{\mathbf{k}}=\mathbf{0 . 4}
\end{array}
\]
| 3 |
Physics
|
If the straight line \( a x+b y+p=0 \) and
\( x \cos \alpha+y \sin \alpha=p \) enclosed an angle
of \( \frac{\pi}{4} \) and the line \( x \sin \alpha-y \cos \alpha=0 \)
meets them at the same point, the
\( a^{2}+b^{2} \) is
A .4
B. 3
\( c \cdot 2 \)
D.
| 2 |
Maths
|
Find the value 'p' so that the equation
\( 4 x^{2}-8 p x+9=0 \) has roots whose
difference is 4
| 2 |
Maths
|
Hydrogen atom will be in its ground state, if its electron is in
A. any energy level
B. the lowest energy state
c. the highest energy state
D. the intermediate state
| 3 |
Physics
|
Prove that a triangle \( A B C \) is equilateral
if and only if \( \tan A+\tan B+\tan C= \)
\( \mathbf{3} \sqrt{\mathbf{3}} \)
| 2 |
Maths
|
One number is to be chosen from
Numbers 1 to \( 100, \) the probability that it is divisible by 3 or 7 is.....
A \( \frac{33}{100} \)
в. \( \frac{7}{100} \)
c. \( \frac{4}{100} \)
D. \( \frac{43}{100} \)
| 2 |
Maths
|
Let \( \boldsymbol{f}(\boldsymbol{x})=[\boldsymbol{x}]+[-\boldsymbol{x}] . \) Then for any
integer \( n \) and \( k \in R-I \)
This question has multiple correct options
A \( \cdot \lim _{x \rightarrow n} f(x) \) exists
B. \( \lim _{x \rightarrow k} f(x) \) exists
c. f is continuous at \( x=n \)
D. f is continuous at \( x=k \)
| 2 |
Maths
|
Warm ocean currents make the
climate?
A. warm
B. wet
c. warm and wet
D. cold
| 0 |
Biology
|
Plaster of paris in contact with water sets to a hard mass whose composition
is :
A. \( \operatorname{CaSO}_{4} \)
в. \( \operatorname{CaSO}_{4} . \mathrm{H}_{2} \mathrm{O} \)
\( \mathrm{c} \cdot \operatorname{CaSO}_{4} \cdot 2 \mathrm{H}_{2} \mathrm{O} \)
D. \( \operatorname{CaSO}_{4} \cdot \operatorname{Ca}(O H)_{2} \)
| 1 |
Chemistry
|
What will happen if there are no platelets in the blood?
| 0 |
Biology
|
If \( f(x) \) is continuous on \( [a, b] \) and \( \boldsymbol{f}(\boldsymbol{a}) \neq \boldsymbol{f}(\boldsymbol{b}), \) then for
any value \( c \) belongs \( (f(a), f(b)), \) there is at least one number
\( \boldsymbol{x}_{o} \) in \( (\boldsymbol{a}, \boldsymbol{b}) \) for which \( \boldsymbol{f}\left(\boldsymbol{x}_{\boldsymbol{o}}\right)=\boldsymbol{c} \)
A. \( f\left(x_{o}\right)=b \)
В. \( f\left(x_{o}\right)=c \)
c. \( f\left(x_{o}\right)=f(c) \)
D. \( f\left(x_{o}\right)=0 \)
| 2 |
Maths
|
Constant DC voltage is required from a variable AC voltage. Which of the following is correct order of operation?
A. Regulator, Filter, Rectifier
B. Rectifier, Regulator, Filter
c. Rectifier, Filter, Regulator
D. Filter, Regulator, Rectifier
| 3 |
Physics
|
Hockey handle is prepared from the wood of
A. salix
B. Morus
c. Picea
D. Phytelephas
| 0 |
Biology
|
\( \mathrm{C} \) is the centre of an equilateral triangle
PQR. \( f_{1}, f_{2} \) and \( f_{3} \) are the three forces acting along the sides as shown. For the
total torque about \( C \) to be zero,
\( ^{\mathrm{A}} \cdot f_{3}=\frac{\left(f_{1}+f_{2}\right)}{2} \)
3. \( f_{3}=\frac{\left(f_{1}+f_{2}\right)}{4} \)
\( \mathbf{c} \cdot f_{3}=f_{1}+f_{2} \)
D. \( f_{3}=f_{1}-f_{2} \)
| 3 |
Physics
|
A cyclist riding a bicycle fitted with dynamo to a tyre gets bright light from the bulb connected when he s fast. this
is because
A. magnet becomes powerful, when wheel rotates faster and current flows fast
B. current flows easly when cycle goes down
c. more magnetic lines of force change with respect to the coil and leading more current
D. coil become hot due to friction and produces more current
| 3 |
Physics
|
Find the smallest number by which 33275 must be multiplied so that the product is a perfect cube.
| 2 |
Maths
|
ACCELERATION DUE TO GRAVITY OF THE
EARTH
Radius of earth is \( 6400 \mathrm{km} \) and that of
mars is \( 3200 \mathrm{km} \). Mass of mars is 0.1
that of earth's mass. Then the acceleration due to gravity on mars is nearly.
A \( \cdot 1 \mathrm{m} / \mathrm{s}^{2} \)
B \( .2 .5 m / s^{2} \)
c. \( 4 m / s^{2} \)
D. \( 5 m / s^{2} \)
| 3 |
Physics
|
A muscle which is spindle shaped and
lacks striations are known as
A. Smooth muscle
B. Cardiac muscle
c. striated muscles
D. None of the above
| 0 |
Biology
|
The mode from the following table will
be:
Term \( \quad \mathbf{2 5} \quad \mathbf{3 5} \quad \mathbf{4 5} \) Frequency \( \quad 14 \quad 16 \quad 24 \quad 20 \)
A . 24
B. 45
c. 65
\( D \)
| 2 |
Maths
|
\( B r C H_{2} C H_{2} C H_{2} B r \) reacts with Na in
the presence of ether at \( 100 \mathrm{C} \) to produce:
A \( \cdot B r C H_{2} C H=C H_{2} \)
B. \( C H_{2}=C=C H_{2} \)
c. cyclopropane
D. All of these
| 1 |
Chemistry
|
Mica is a \( _{---} \) conductor of electricity
A. good
B. badd
c. positive
D. None of the above
| 3 |
Physics
|
Charging by friction is used to develop charges on
A. metals
B. conductors
c. insulators
D. Non of these
| 3 |
Physics
|
Assertion
If \( ^{n} C_{r-1}=36,^{n} C_{r}=84 \) and \( ^{n} C_{r+1}= \)
\( 126, \) then \( ^{r} C_{2}=8 \)
Reason
\( n C_{r}=^{n} C_{n-r} \)
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 and Reason is correct
| 2 |
Maths
|
Which one of the following animals has
a nervous system but no brain?
A. Earthworm
B. Hydra
c. Amoeba
D. cockroach
| 0 |
Biology
|
Extraction of metals from its ores
contain the following stages such as calcination and:
A. Roasting
B. Smelting
c. Both (a) and (b)
D. None of these
| 1 |
Chemistry
|
Write the male part of flower.
| 0 |
Biology
|
\( \cos 18^{\circ}-\sin 18^{\circ}= \)
| 2 |
Maths
|
\( A \) is a set containing \( n \) elements. Two subsets \( P \) and \( Q \) of \( A \) are chosen at
random. (P and Q may have elements in
common). The probability that \( \boldsymbol{P} \cup \boldsymbol{Q} \neq \)
\( A \) is
A \( \cdot(3 / 4)^{n} \)
B. 1/4n
c. \( ^{n} C_{2} / 2^{n} \)
D. \( 1-(3 / 4)^{n} \)
| 2 |
Maths
|
If the coefficient of variation of some
observation is 60 and their standard
deviation is 20 , then their mean is
A . 35
B. 34
\( c \cdot 33 \)
D. 33.33(nearly)
| 2 |
Maths
|
Which of the following shafts is stronger
A. solid
B. hollow
c. cylindrical
D. circular
| 3 |
Physics
|
ABCD is a parallelogram \( P \) and \( R \) are two points on AB such that the area of parallelogram ABCD is 8 times the are
of \( \Delta D P R \) If \( P R=5 c m \) then \( C D \) is equal
to
\( A \cdot 10 \mathrm{cm} \)
B. \( 5 \mathrm{cm} \)
\( c .20 \mathrm{cm} \)
D. \( 12 \mathrm{cm} \)
| 2 |
Maths
|
In non-resonant circuit, the nature of
circuit for frequencies greater than the
resonant frequency is :
A . resistive
B. capacitive
c. inductive
D. both 1 and 2
| 3 |
Physics
|
A bomb is dropped from a flying
aeroplane. Its path will be
A. an arc of a circle
B. a parabola
c. a zig-zag path
D. a straight vertical path in the do rection
| 3 |
Physics
|
Choose the incorrect statement among
the following:
A. the chemistry of different lanthanoids is very similar
B. \( 4 f- \) and \( 5 f- \) orbitals are equally shielded
C. \( d- \) block element show irregular and erratic chemical properties among themselves
D. \( L a \) and \( L u \) have partially filled d-orbitals
| 1 |
Chemistry
|
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