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Find the domain and range of the
following real functions:
¡) \( \boldsymbol{f}(\boldsymbol{x})=-|\boldsymbol{x}| \)
ii) \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{9}-\boldsymbol{x}^{2}} \) | 2 | Maths |
Which of the following compounds are not soluble in water?
A. Formaldehyde
B. Acetaldehyde
c. Acetone
D. None of the above | 1 | Chemistry |
An electrically heating coil is placed in a calorimeter containing 360 g of \( \mathrm{H}_{2} \mathrm{O} \) at \( 10^{\circ} \mathrm{C} . \) The coil consumes energy at the
rate of \( 90 \mathrm{W} \). The water equivalent of calorimeter and the coil is 40 g. The temperature of water after 10 minutes
will be
A \( \cdot 42.15^{0} \mathrm{C} \)
в. \( 32.14^{\circ} \mathrm{C} \)
c. \( 22.14^{\circ} \mathrm{C} \)
D. \( 52.14^{\circ} \mathrm{C} \) | 3 | Physics |
Copy the diagram given below and
complete the path of light ray till it
emerges out of the prism. The critical
angle of glass is \( 42^{\circ} . \) In your diagram
mark the angles wherever necessary. | 3 | Physics |
Show that vector area of a quadrilateral \( A B C D \) is \( \frac{1}{2}(A C \times B D), \) where \( A C \)
and \( B D \) are its diagonals. | 2 | Maths |
\( \cos ^{4} \theta-\sin ^{4} \theta+1 \) is equal to:
A \( \cdot 2 \cos e c^{2} \theta \)
B. \( -2 \cos e c^{2} \theta \)
c. \( \frac{2}{\tan ^{2} \theta} \)
D. \( \frac{2 \cot ^{2} \theta}{\cos e c^{2} \theta} \) | 2 | Maths |
The plates of a parallel plate capacitor are given charges \( +4 Q \) and \( -2 Q \). The capacitor is then connected across an uncharged capacitor of same capacitance as first one \( (=C) \). Find the
final potential difference between the plates of the first capacitor. | 3 | Physics |
A compound with molar mass 180 is
acylated with \( C H_{3} C O C l \) to get a
compound with molar mass
390. The number of amino groups present per molecules of the former
compounds is: | 1 | Chemistry |
Consider the equilibrium
\( N H_{4} C l(s) \rightleftharpoons N H_{3}(g)+H C l(g) . A n \)
inert gas is added to the system at constant volume and temperature. The correct statement(s) is/ are:
This question has multiple correct options
A. the partial pressures of \( N H_{3} \) and \( H C l \) in the system will increase
B. the partial pressures of \( N H_{3} \) and \( H C l \) in the system will remain the same
c. the partial pressures of \( N H_{3} \) and \( H C l \) in the system will decrease
D. the entropy of the system will increase | 1 | Chemistry |
The highest concentration of was found in Hartley coal ash.
A. Leadd
B. Germanium
c. Antimony
D. carbon | 1 | Chemistry |
If the 20 th and 21 st terms in the
expansion of \( (1+x)^{40} \) are equal, then
the value of \( x \) is
A \( \cdot \frac{20}{21} \)
в. \( \frac{21}{20} \)
c. 25
D. \( \frac{1}{25} \) | 2 | Maths |
An object of height \( 10 \mathrm{cm} \) is placed at a distance \( 100 \mathrm{cm} \) before the convex
mirror perpendicular below the principal axis. If the focal length of the mirror is \( 10 \mathrm{cm}, \) on applying the Cartesian sign convention. Find the signs of object distance, focal length and height of the object.
A. \( u=100 \mathrm{cm}, f=-10 \mathrm{cm}, h=-10 \mathrm{cm} \)
в. \( u=100 \mathrm{cm}, f=10 \mathrm{cm}, h=20 \mathrm{cm} \)
c. \( u=100 \mathrm{cm}, f=-10 \mathrm{cm}, h=10 \mathrm{cm} \)
D. \( u=-100 \mathrm{cm}, f=10 \mathrm{cm}, h=10 \mathrm{cm} \) | 3 | Physics |
Capacity of a parallel plate condenser is \( 10 \mu F \) when the distance between the plates is \( 8 \mathrm{cm} . \) If the distance between the plates is reduced to \( 4 \mathrm{cm}, \) its capacity will be:
A. \( 10 \mu F \)
B. \( 15 \mu F \)
c. \( 20 \mu F \)
D. \( 40 \mu F \) | 3 | Physics |
\( \mathrm{CaO} \) and \( \mathrm{NaCl} \) have the same crystal
structure and approximately the same
ionic radii. If \( U \) is the lattice energy of
Na \( C l \), the approximate lattice energy
of \( C a O \) is:
A. \( U / 2 \)
B. \( U \)
\( c .2 U \)
D. \( 4 U \) | 1 | Chemistry |
Wood of Gymnosperms is composed of
A. Only tracheids in the xylem
B. Only vessels and xylem parenchyma
C. Only fibres and xylem parenchyma
D. Only fibres and vessels | 0 | Biology |
There are 27 drops of a conducting fluid. Each drop has radius \( r, \) and each of
them is charged to the same potential \( V_{1} \).They are then combined to form a bigger drop.The potential of the bigger drop is \( V_{2} \).Find the ratio \( V_{2} / V_{1} \). Ignore
the change in density of the fluid on combining the drops. | 3 | Physics |
State whether true or false:
Ropes made by rayon are used in cranes and elevators.
A. True
B. False | 1 | Chemistry |
If there is rise of melting point then latent heat required would be
Complete the sentence
A. More
B. Less
c. No change
D. Same | 3 | Physics |
For \( \Delta A B C \) and \( \Delta D E F, A B= \)
\( \boldsymbol{F} \boldsymbol{E}, \boldsymbol{B} \boldsymbol{C}=\boldsymbol{E} \boldsymbol{D} \) and \( \angle \boldsymbol{B}=\angle \boldsymbol{E} \)
Therefore
A. \( \Delta A B C \cong \Delta D E F \)
B. \( \Delta A B C \cong \Delta E D F \)
c. \( \Delta B C A \cong \Delta D E F \)
D. \( \Delta B C A \cong \Delta E D F \) | 2 | Maths |
Let \( S \) be the set of all functions \( f: \)
\( [0,1] \rightarrow R, \) which are continuous on
[0,1] and differentiable on \( (0,1) . \) Then
for every \( f \) in \( S, \) there exists \( a c \in(0,1) \)
depending on \( f, \) such that
\( ^{\text {A } \cdot \frac{f(1)-f(c)}{1-c}=f^{\prime}(c)} \)
B \cdot \( |f(c)-f(1)|<(1-c)\left|f^{\prime}(c)\right| \)
c. \( |f(c)+f(1)|<(1+c)\left|f^{\prime}(c)\right| \)
D \( \cdot|f(c)-f(1)|<\mid f^{\prime}(c) \) | 2 | Maths |
Write the spherical mirror's formula and explain the meaning of each symbol used in it. | 3 | Physics |
A ray of light passes from water to air. Will the speed of light increase or
decrease? | 3 | Physics |
Which of the following cannot form oxo ion?
\( \mathbf{A} \cdot P u O_{2}^{+} \)
B. \( \mathrm{CeO}_{2}^{+} \)
\( \mathbf{c} \cdot U O_{2}^{2+} \)
D. \( N p O_{2}^{\text {th }} \) | 1 | Chemistry |
The image formed by a plane mirror is always
A. Real and erect
B. Virtual and erect
c. Real and inverted
D. Virtual and inverted | 3 | Physics |
What is tubular secretion? Name the
substances secreted through the renal tubules. | 0 | Biology |
The heat energy is required to raise the
temperature of \( 18 \mathrm{m} \) of water by \( 1^{\circ} \mathrm{C} \) is:
A . \( 1 J \)
B . 2.1
c. \( 4.2 J \)
D. 8.4J | 3 | Physics |
Select the correct option.
(a) Energy of ground state of \( \boldsymbol{H} e^{+} \)
\[
(i)+6.04 e v
\]
(b) Potential energy of I orbit of \( \boldsymbol{H}- \)
atom
(ii) -27.2 eV
(c) Kinetic energy of II excited state of
\( \boldsymbol{H} e^{+} \)
(iii) +54.4 ev
(d) Ionisation potential of \( \boldsymbol{H} \boldsymbol{e}^{+} \)
(iv) \( -54.4 \mathrm{eV} \)
\( A \cdot a(i), b \) (ii) \( , c \) (iii), d (iv)
B. a (iv), b (iii), c (ii), d(i)
\( c \cdot a(i v), b(i i), c(i), d \) (iii)
D. a (ii), b (iii), c (i), d (iv) | 1 | Chemistry |
What is an electromagnet ? List any two
uses | 3 | Physics |
The oxidation of toluene to
benzaldehyde by chromyl chloride is called:
A. Etard reaction
B. Riemer - Tiemann reaction
c. Wurtz reaction
D. Cannizzaro's | 1 | Chemistry |
A car travels first \( 30 \mathrm{km} \) with a uniform
speed of \( 60 \mathrm{kmh}^{-1} \) and then next 30
\( \mathrm{km} \) with a uniform speed of \( 40 \mathrm{kmh}^{-1} \)
Calculate the total time of journey,
A. 50 min
B. 75 min
\( c .60 \mathrm{min} \)
D. \( 100 \mathrm{min} \) | 3 | Physics |
\( \triangle \boldsymbol{R} \boldsymbol{S} \boldsymbol{T} \sim \triangle \boldsymbol{U} \boldsymbol{A} \boldsymbol{Y} . \ln \triangle \boldsymbol{R} \boldsymbol{S} \boldsymbol{T}, \boldsymbol{R} \boldsymbol{S}= \)
\( 6 c m, \angle S=50^{\circ}, S T=7.5 \mathrm{cm} . \) The
corresponding sides of \( \triangle R S T \) and
\( \triangle U A Y \) are in the ratio \( 5: 4 . \) Construct
\( \triangle \boldsymbol{U} \boldsymbol{A} \boldsymbol{Y} \) | 2 | Maths |
If \( \tan \theta=\frac{1}{\sqrt{5}} \) and \( \theta \) lies in the first
quadrant, the value of \( \cos \theta \) is
A \( \cdot \frac{1}{\sqrt{6}} \)
B. \( \frac{\sqrt{5}}{\sqrt{6}} \)
c. \( \frac{-1}{\sqrt{6}} \)
D. \( \frac{-\sqrt{5}}{\sqrt{6}} \) | 2 | Maths |
Fill in the blanks:
A convex lens of \( _{\text {一一一一一一 }} \) focal length gives a greater magnification than lenses of \( _{\text {一一一一一一一 }} \) focal length.
A. short, short
B. short, long
c. long, short
D. Iong, long | 3 | Physics |
A piece of metal weighs 45 g in air and \( 25 \mathrm{g} \) in a liquid of density \( 1.5 \times \) \( 10^{3} k g-m^{-3} \) kept at \( 30 C . \) When the
temperature of the liquid is raised to \( 40 C, \) the metal piece weighs 27 g. The density of liquid at \( 40 \mathrm{C} \) is \( 1.25 \times \) \( 10^{3} k g-m^{-3} . \) The coefficient of linear
expansion of metal is
A. \( 1.3 \times 10^{-3} / C \)
в. \( 5.2 \times 10^{-3} / C \)
c. \( 2.6 \times 10^{-3} / C \)
D. \( 0.26 \times 10^{-3} / C \) | 3 | Physics |
By which way you can dispose the
useless chemicals?
A. The rule is to add concentrated acid to water slowly
B. Dispose of chemicals in the proper places following posted procedures. Do not return them to their original containers
C. Carefully replace unused or excess chemicals into their properly labeled containers from which they
came
D. Flush eyes with water at the eyewash fountain for at least 15 minutes, and then report the accident for further help
E. The rule is to add water to the concentrated acid slowly | 1 | Chemistry |
ff \( \boldsymbol{f}: \boldsymbol{R}-\{\mathbf{0}\} \rightarrow \boldsymbol{R} \) is defined by
\( f(x)=x^{3}-\frac{1}{x^{3}} \) then show that \( f(x)+ \)
\( \boldsymbol{f}\left(\frac{1}{x}\right)=\mathbf{0} \) | 2 | Maths |
Consider the barometer shown in figure.
Density of mercury is \( \rho . \) A small hole is
made at point \( S \) as shown. The
mercury comes out from this hole with
speed \( \boldsymbol{v} \) equal to :
A \( \cdot \sqrt{2 g h} \)
B. \( \sqrt{2 g H} \)
c. \( \sqrt{2 g(H-h)} \)
D. None of these | 3 | Physics |
If the middle term of \( (1+x)^{2 n} \) is the
greatest term then \( x \) lies between
A. \( n-1<x<n \)
в. \( \frac{n}{n+1}<x<\frac{n+1}{n} \)
c. \( n<x<n+1 \)
D. \( \frac{n+1}{n}<x<\frac{n}{n+1} \) | 2 | Maths |
State whether true or false:
The unit of voltage is \( J C^{-1} \) | 3 | Physics |
The amyloplasts look like
A. Proplastids
B. Elaioplast
c. Aleuroplast
D. chloroplast | 0 | Biology |
Probability that \( A \) speaks truth is \( \frac{4}{5} . A \) coin is tossed. A reports that a head appears. The probability that actually there was head is
A \( \cdot \frac{4}{5} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{5} \)
D. \( \frac{2}{5} \) | 2 | Maths |
Sulphur is used in the of
rubber.
A. condensation
B. vulcanization
c. addition
D. substitution | 1 | Chemistry |
A body is sliding down an inclined plane (angle of inclination \( 45^{\circ} \) ). If the coefficient of friction is 0.5 and \( g= \)
\( 9.8 m / s^{2}, \) then the downward
acceleration of the body in \( m / s^{2} \) is:
A \( \cdot \frac{4.9}{\sqrt{2}} \)
B. \( 4.9 \sqrt{2} \)
C. \( 19.2 \sqrt{2} \)
D. 4.9 | 3 | Physics |
Which of the following is not a disproportionation reaction?
\( N H_{4} N O_{3} \stackrel{\Delta}{\longrightarrow} N_{2} O+H_{2} O \)
II. \( \boldsymbol{P}_{4} \stackrel{\Delta}{\longrightarrow} \boldsymbol{P} \boldsymbol{H}_{3}+\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{2}^{\ominus} \)
III. \( \boldsymbol{P C l}_{5} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \boldsymbol{P C l}_{3}+\boldsymbol{C l}_{2} \)
IV. \( \boldsymbol{I} \boldsymbol{O}_{3}^{\ominus}+\boldsymbol{I}^{\ominus} \longrightarrow \boldsymbol{I}_{2} \)
A . ।, ॥
B. I, III, IV
c. ॥, IV
D. ।, II | 1 | Chemistry |
\( t \) | 3 | Physics |
\( f * \) is a binary operation on set \( N \),of
natural no defined as \( a * b=H C F \) of
\( (a, b) . \) Evaluate \( 3 *(2 * 5) \) | 2 | Maths |
Arrange the following values of \( n \) in ascending order.
\( \boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}= \)
\( \boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}= \)
\( \boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{n}= \)
\( \boldsymbol{D}:^{(\boldsymbol{n}+1)} \boldsymbol{P}_{5}:^{\boldsymbol{n}} \boldsymbol{P}_{6}=\mathbf{1}: \boldsymbol{2} \Rightarrow \boldsymbol{n}= \)
\( A \). САВ D
в. САDВ
c. АСВD
D. DBAC | 2 | Maths |
An example of chelating ligand is:
A \( \cdot N O_{2} \)
B. Chloro
c. Bromo
D. en | 1 | Chemistry |
topp
grapillation Which one of the following
\( T= \) time peric
: | 3 | Physics |
Expand: \( \left(a^{2}+4 b^{2}\right)(a+2 b)(a-2 b) \) | 2 | Maths |
The table given below shows a list of
organisms and their methods of
reproduction
What do \( P, Q \) and \( R \) repersent?
\begin{tabular}{|l|c|}
\hline Organism & Method of reproduction \\
\hline Sponge & \( \mathrm{P} \) \\
Planaria & \( \mathrm{Q} \) \\
Hydra & \( \mathrm{R} \) \\
\hline
\end{tabular}
A. P- Fission, Q - Budding,
R - Regeneration
B. P- Sporulation, Q - Regeneration,
\( \mathrm{R} \) - Budding
C. P- Binary fission,
Q- Sporulation,
R - Regeneration
D. P - Gemmules, Q - Regeneration,
R - Budding | 0 | Biology |
What does mean by mass defect? Establish relation between mass defect
and nuclear binding energy. And hence write the expression for binding energy per nucleon. | 3 | Physics |
Find the sum of all 2 - digit numbers divisible by 3
A. 1335
в. 1445
\( c .1665 \)
D. 1555 55 | 2 | Maths |
Balance the following redox reaction \( \left(\boldsymbol{C r}_{2} \boldsymbol{O}_{7}\right)_{(a q)}^{2-}+\boldsymbol{F} \boldsymbol{e}_{(a q)}^{2+} \rightarrow \boldsymbol{C r}_{(a q)}^{3+}+\boldsymbol{F} \boldsymbol{e}_{(a q)}^{3+} \)
(acidic medium) | 1 | Chemistry |
Fossils are present in metamorphic rocks. State true or false.
A. True
B. False | 1 | Chemistry |
Which is correct in common Cockroach
A. Nitrogenous excretory product is urea.
B. Food is ground by mandibles and gizzard.
C. Malpighian tubules are excretory organs that project out from coelom.
D. Oxygen is transported by haemoglobin in blood. | 0 | Biology |
Calculate the shortest and longest wavelengths in hydrogen spectrum of
Lyman series. | 1 | Chemistry |
\( \int_{0}^{\pi / 2} \frac{1}{a^{2} \sin ^{2} x+b^{2} \cos ^{2} x} d x \) | 2 | Maths |
Which of the following shows that the earth behaves as a magnet?
A. Repulsion between like poles
B. Attraction between unlike poles
C. Existence of null points in the magnetic field of a bar magnet
D. Non existence of monopoles | 3 | Physics |
Explain why:
(a) An antacid tablet is taken when you suffer from acidity.
(b) Calamine solution is applied on the skin when an ant bites.
(c) Factory waste is neutralised before disposing it into the water bodies. | 1 | Chemistry |
Two straight lines drawn on the same
displacement - time graph make an \( 30^{\circ} \)
and \( 60^{\circ} \) with time axis respectively as
shown in fig-1. What is the ratio of the
two velocities?
Figure -1 | 3 | Physics |
The sum \( \mathbf{V}_{\mathbf{1}}+\mathbf{V}_{\mathbf{2}}+\ldots+\mathbf{V}_{\mathbf{n}} \) is
A \( \cdot \frac{1}{12} \mathrm{n}(\mathrm{n}+1)\left(3 \mathrm{n}^{2}-\mathrm{n}+1\right) \)
B. \( \frac{1}{12} \mathrm{n}(\mathrm{n}+1)\left(3 \mathrm{n}^{2}+\mathrm{n}+2\right) \)
C \( \cdot \frac{1}{2} \mathrm{n}\left(2 \mathrm{n}^{2}-\mathrm{n}+1\right) \)
D \( \cdot \frac{1}{3}\left(2 \mathrm{n}^{3}-2 \mathrm{n}+3\right) \) | 2 | Maths |
Name the largest kelp? | 0 | Biology |
Difference between \( \Delta H \) and \( \Delta E \) for the
combustion of liquid benzene at \( 27^{\circ} \mathrm{C} \)
is:
A \( .7 .48 k J \)
в. \( 3.47 k J \)
c. \( 14.86 k J \)
D. \( 5.73 k J \) | 1 | Chemistry |
Which of the meristem is responsible for secondary growth?
A. Apical
B. Lateral
c. Intercalary
D. Basal | 0 | Biology |
A soft metal stored under kerosene is:
A. sodium (Na)
B. calcium(Ca)
c. lithium (Li)
D. magnesium (Mg) | 1 | Chemistry |
State whether the given statement is true or false:
\( A g C l \) is less soluble in aqueous
sodium chloride solution than in pure
water
A. True
B. False | 1 | Chemistry |
A body is said to be under balanced
forces when the resultant force acting
on the body is
A. Unity
B. zero
c. Infinite
D. None of these | 3 | Physics |
Area bounded by the curves satisfying the conditions \( \frac{x^{2}}{25}+\frac{y^{2}}{36} \leq 1 \leq \frac{x}{5}+\frac{y}{6} \)
is given by
A \( \cdot 15\left(\frac{\pi}{2}+1\right) \) sq.units
B. \( \frac{15}{4}\left(\frac{\pi}{2}-1\right) \) sq.units
c. \( 30(\pi-1) \) sq.unit
D. \( \frac{15}{2}(\pi-2) \) sq.unit | 2 | Maths |
Gravitational potential energy is
negative. This implies
A. Energy is rising along negative \( x \) axis
B. A particle is trapped in this potential
C. The particle is moving in the opposite direction
D. Energy is decreasing in the direction of motion of the particle | 3 | Physics |
The experiment is to repeatedly toss a coin until first tail shows up. Identify the type of the sample space.
A. Finite sample space
B. Continuous sample space
c. Infinite discrete sample space
D. None of these | 2 | Maths |
If \( \vec{a}=\hat{i}+\hat{j}+\hat{k}, \vec{b}=\hat{i}+\hat{j}-\hat{k}, \vec{c}=\hat{i}- \)
\( \hat{j}+\hat{k} \) and \( \overrightarrow{\boldsymbol{d}}=\hat{\mathbf{i}}-\hat{\mathbf{j}}-\hat{\boldsymbol{k}}, \) then \( (\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}) \times \)
\( (\vec{c} \times \vec{d})= \)
A . 0
B . \( 3 \hat{i}-5 \hat{j}+7 \hat{k} \)
c. \( 5 \hat{j}-8 \hat{k} \)
D. - \( -8 \hat{k} \) | 2 | Maths |
Which one of the following does not undergo sublimation?
A. iodine
B. sodium chloride
c. ammonium chloride
D. None of these | 3 | Physics |
at opposite sides of an infinitely long straight conducting wire as shown in the figure. If current in the wire is slowly
decreased, then the direction of the
nduced current will be :
A. clockwise in \( A \) and anticlockwise in \( B \)
3. anticlockwise in \( A \) and clockwise in \( B \)
c. clockwise in both \( A \) and \( B \)
D. anticlockwise in both \( A \) and \( B \) | 3 | Physics |
What concentration of \( \boldsymbol{F}- \)
\( \boldsymbol{C H}_{2} \boldsymbol{C O O H},\left(\boldsymbol{K}_{\boldsymbol{a}}=\boldsymbol{2} \boldsymbol{6} \times \mathbf{1 0}^{-\boldsymbol{3}}\right) \) is
needed so that \( \left[\boldsymbol{H}^{+}\right]=\mathbf{2} \times \mathbf{1 0}^{-\mathbf{3}} \) ?
A \( \cdot 1.53 \times 10^{-3} M \)
В. \( 2.6 \times 10^{-3} M \)
c. \( 5.2 \times 10^{-3} M \)
D. \( 3.53 \times 10^{-3} \) М | 1 | Chemistry |
Solve \( \sqrt{\frac{x^{2}-a^{2}}{x}} d x \) | 2 | Maths |
The order of basic character of given
oxides is :
A. \( N a_{2} O>M g O>A l_{2} O_{3}>C u O \)
в. \( M g O>A l_{2} O_{3}>C u O>N a_{2} O \)
c. \( A l_{2} O_{3}>M g O>C u O>N a_{2} O \)
D. \( C u O>N a_{2} O>M g O>A l_{2} O_{3} \) | 1 | Chemistry |
Biosystematics aims at
A. The classification of organisms based on the morphological characters
B. Identification and arrangement of organisms on the basis of their cytological characteristics
C. Delimiting various taxa of organisms and establishing their relationship
D. The classification of organisms based on their evolutionary history and establishing their phylogeny on the totality of various parameters from all fields of studies | 0 | Biology |
How does the force of gravitation, between two bodies change when the distance between them is reduced to
half?
A. It is halved
B. It is doubled
c. It is quadrupled
D. It remains unaffected | 3 | Physics |
If \( h \) is Plancks constant, the
momentum of a photon of wavelength
\( 0.01 A^{\circ} \) is
\( \mathbf{A} \cdot 10^{-2} h \)
B. \( h \)
\( c \cdot 10^{2} \)
D. \( 10^{12} h \) | 3 | Physics |
Out of 25 children in a class, 15 are girls What is the percentage of girls? | 2 | Maths |
Q Type your question
columns each of length \( l \), cross
sectional radius \( r \) and young's
modulus \( Y \). What should be the
minimum cross - section radius \( r, \) so
that the beam bearing more load, can
escape from buckling?
\( \left(\frac{m g l^{2}}{\pi^{3} Y}\right)^{1 / 4} \)
\( ^{\mathrm{B}}\left(\frac{2 m g l^{2}}{3 \pi^{3} Y}\right)^{1 / 4} \)
\( \left(\frac{m g l^{2}}{3 \pi^{3} Y}\right)^{1 / 4} \)
\( \left(\frac{3 m g l^{2}}{2 \pi^{3} Y}\right)^{1 / 4} \) | 3 | Physics |
Find the mean for the following distribution
\( \begin{array}{lllll}\text { Marks } & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}20- \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 40\end{array} & \begin{array}{l}\text { 40- } \\ 50\end{array}\end{array} \)
Frequency 6 8 13 | 2 | Maths |
The wavelength of de broglie waves associated with a beam of protons of
kinetic energy \( 5 \times 10^{2} \mathrm{eV} \)
(Mass of each photon \( =\mathbf{1 . 6 7} \times \mathbf{1 0}^{-\mathbf{2 7}} \mathbf{K g} \)
\( \boldsymbol{h}=\mathbf{6 . 6 2} \times \mathbf{1 0}^{-\mathbf{3 4}} \mathbf{J s} \)
A. \( 2.42 \times 10^{-12} \mathrm{m} \)
B . \( 4.24 \times 10^{-12} \mathrm{m} \)
c. \( 1.82 \times 10^{-12} \mathrm{m} \)
D. \( 1.28 \times 10^{-12} \mathrm{m} \) | 3 | Physics |
For the equilibrium, \( \boldsymbol{P C l}_{5} \leftrightharpoons \boldsymbol{P C l}_{3}+ \)
\( C l_{2} ; K_{c}=\frac{\alpha^{2}}{1-\alpha} V, \) temperature
remaining constant. Then:
A . \( K_{c} \) will decrease with increase in volume
B. \( K_{c} \) will increase with increase in volume
C. \( K_{c} \) will not change with the change in volume
D. \( K_{c} \) may increase or decrease with the change in volume depending upon its numerical value | 1 | Chemistry |
Assertion
The mobility of sodium ion is lower than that of potassium ion.
Reason
The ionic mobilities depend on the effective radius of the ion.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 1 | Chemistry |
The difference in molecular weight
between two successive compounds in alkane homologous series is | 1 | Chemistry |
Latent heat of fusion of ice is:
A \( .336 k J k g^{-1} \)
в. \( 663 k J k g^{-1} \)
c. \( 363 k J k g^{-1} \)
D. \( 636 k J k g^{-1} \) | 3 | Physics |
Find the product of \( (\boldsymbol{m}-\mathbf{1})(\boldsymbol{m}- \)
2)\( (m-3) \) | 2 | Maths |
Anagrams are made by using the letters
of the word \( ^{\prime} \boldsymbol{H} \boldsymbol{I} \boldsymbol{N} \boldsymbol{D} \boldsymbol{U} \boldsymbol{S} \boldsymbol{T} \boldsymbol{A} \boldsymbol{N}^{\prime} \) In how
many of these anagrams do the vowels
and consonants occupy the same relative positions as in
IHINDUST \( \boldsymbol{A} \boldsymbol{N}^{\prime} \) | 2 | Maths |
\( \lim _{x \rightarrow 1}\left(\frac{1}{x-1}-\frac{2}{x^{2}-1}\right)= \)
A . 1 3
B. \( \frac{-1}{2} \)
\( c \cdot \frac{1}{2} \)
D. \( \frac{-1}{3} \) | 2 | Maths |
Steam at \( 100^{\circ} \mathrm{C} \) is added slowly to
\( 1400 g m \) of water at \( 16^{\circ} C \) until the
temperature of water is raised to \( 80^{\circ} \mathrm{C} \)
The mass of steam required to do this is
\( \left(\boldsymbol{L}_{\boldsymbol{v}}=\mathbf{5 4 0} \boldsymbol{c a l} / \boldsymbol{g m}\right) \)
A \( .160 g m \)
В. \( 125 \mathrm{gm} \)
\( \mathrm{c} .250 \mathrm{gm} \)
D. \( 320 g m \) | 3 | Physics |
Choose the correct order of excretory organs in cockroach, earthworm and
rabbit respectively.
A. skin, Malpighian tubules and kidney
B. Malpighian tubules, nephridia and kidney
c. Nephridia, Malpighian tubules and kidney
D. Nephridia, kidney and green gland | 0 | Biology |
If the lines \( \frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{5 t-1} \)
and \( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{2} \boldsymbol{s}+\mathbf{1}}=\frac{\boldsymbol{y}}{\mathbf{2}}=\frac{\boldsymbol{z}}{\mathbf{4}} \) are parallel to
each other, then value of s,t will be
A \( \cdot_{6,} \frac{5}{7} \)
B. \( \frac{1}{2}, 1 \)
c. \( _{3,} \frac{5}{7} \)
D. \( 4, \frac{7}{10} \) | 2 | Maths |
Calculate the degree of ionization of
\( 0.05 \mathrm{M} \) acetic acid if its \( \boldsymbol{P} \boldsymbol{K}_{\boldsymbol{a}} \) value is
4.74. How is the degree of dissociation
affected when its solution also contains
(a) \( 0.01 \mathrm{M} \)
(b) \( 0.1 \mathrm{M} \) in \( H C l ? \) | 1 | Chemistry |
If \( \boldsymbol{A}=\left[\begin{array}{ll}\boldsymbol{\alpha} & \mathbf{0} \\ \mathbf{1} & \mathbf{1}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{0} \\ \mathbf{5} & \mathbf{1}\end{array}\right], \) then
value of \( \alpha \) for which \( A^{2}=B \), is
A .
B. -
\( c \cdot 4 \)
D. No real value | 2 | Maths |
\( \frac{\boldsymbol{x} \boldsymbol{y}}{\boldsymbol{x}+\boldsymbol{y}}=\frac{\boldsymbol{6}}{\mathbf{5}} \)
\( \frac{x y}{y-x}=6 \)
A. \( x=-2, y=3 \)
в. \( x=3, y=2 \)
c. \( x=2, y=3 \)
D. \( x=-3, y=-2 \) | 2 | Maths |
\( \sin ^{-1}\left(3 x-2-x^{2}\right)+\cos ^{-1}\left(x^{2}-4 x+\right. \)
3) \( =\frac{\pi}{4} \) can have a solution for \( x \epsilon \)
A . [1,2]
B \( \cdot\left(\frac{3+\sqrt{5}}{2}, 2+\sqrt{2}\right) \)
\( \left(\frac{3-\sqrt{5}}{2}, 2-\sqrt{2}\right) \)
D \( \cdot\left(2-\sqrt{2}, \frac{3-\sqrt{5}}{2}\right) \cup\left(\frac{3-\sqrt{5}}{2}, 2+\sqrt{2}\right) \cup\{2\} \) | 2 | Maths |
Find the \( 20^{t h} \) term of an A.P. whose \( 5^{t h} \)
term is 15 and the sum of its \( 3^{r d} \) and \( 8^{t h} \)
terms is 34 | 2 | Maths |
Derive an expression for the magnetic induction at a point on the axis of a current carrying circular coil using Biot-Savart law. | 3 | Physics |
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