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An electrical appliance has a rating 100 W, 120 V. The resistance of element of
appliance when in use is :
\( \mathbf{A} \cdot 1 \cdot 2 \Omega \)
B. \( 144 \Omega \)
c. \( 120 \Omega \)
D. \( 100 \Omega \)
| 3 |
Physics
|
Commercial silk is obtained from
A. cocoon
B. Caterpillar
c. Adult moth
D. Both egg and adult moth
| 1 |
Chemistry
|
If a shunt of \( \frac{1}{10} t h \) of the coil resistance is applied to a moving coil galvanometer, its sensitivity becomes
A. 10 fold
в. \( \frac{1}{10} \) fold
c. 11 fold
D. \( \frac{1}{11} \) fold
| 3 |
Physics
|
Which of the following expressions is known as Clausius inequality?
A \( \cdot \oint \frac{d q}{T} \leq 0 \)
В \( \cdot \oint \frac{d q}{T}=0 \)
c. \( \oint \frac{T}{d q} \leq 0 \)
\( \mathbf{D} \cdot \oint \frac{d q}{T} \geq \leq 0 \)
| 3 |
Physics
|
Mud houses are cooler in summer and
warmer in winter because
A. mud is a good conductor of heat
B. mud is a superconductor of heat
c. mud is a bad conductor of heat
D. none of these
| 3 |
Physics
|
\( \boldsymbol{C a O}(\boldsymbol{s})+\boldsymbol{H}_{3} \boldsymbol{O}^{+}+\boldsymbol{C l}^{-} \longrightarrow \)
Addition of solid calcium oxide to a
solution of hydrochloric acid as given, results in the formation of:
(1) \( C a^{2+} \)
(2) \( H_{2} O \)
(3) \( \boldsymbol{H}_{\mathbf{2}} \)
A. If 1,2 and 3 are correct
B. If only 1 and 2 are correct
c. If only 2 and 3 are correct
D. If only 1 is correct
E. If only 3 is correct
| 1 |
Chemistry
|
A tank of size \( 10 m \times 10 m \times 10 m \) is ful
of water and built on the ground. If \( g= \)
\( 10 m s^{-2}, \) the potential energy of the
water in the tank is
A \( .5 \times 10^{7} J \)
В. \( 1 \times 10^{8} J \)
c. \( 5 \times 10^{4} J \)
D. \( 5 \times 10^{5} J \)
| 3 |
Physics
|
The value of the sum \( \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right) \) where \( i=\sqrt{-1}, \) equals
\( \mathbf{A} \cdot i \)
B . \( i-1 \)
\( c \cdot-i \)
D.
| 2 |
Maths
|
Urease is :
\( A \cdot \) a vitamin
B. an enzyme
c. a protein
D. an amino acid
| 0 |
Biology
|
Which one of the following is the correct pathway for propagation of cardiac impulse?
A. SA node \( \rightarrow \) Bundle of his \( \rightarrow \) Purkinje fibres
B. AV node \( \rightarrow \) Bundle of his \( \rightarrow \) SA node \( \rightarrow \) Purkinje fibres
c. SA node \( \rightarrow \) Purkinje fibres \( \rightarrow \) AV node \( \rightarrow \) Bundle of his
D. Purkinje fibres \( \rightarrow \) AV node \( \rightarrow \) SA node \( \rightarrow \) Bundle of his
| 0 |
Biology
|
Which of the following do not produce flame on burning?
A . Petrol
B. coal
c. L.P.
D. Kerosene
| 1 |
Chemistry
|
A square of side L meters lies in the \( x-y \)
plane in a region where the magnetic field is given by \( \overline{\boldsymbol{B}}=\boldsymbol{B}_{0}(\mathbf{2} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+ \)
\( 4 \hat{k}) T, \) where \( B_{0} \) is constant. The magnitude of flux passing through the
square is:
\( \mathbf{A} \cdot 8 B_{0} L^{2} W b \)
B. \( 12 B_{0} L^{2} W b \)
c. \( 4 B_{0} L^{2} W b \)
D. \( \sqrt{4 \times 29} B_{0} W b \)
| 3 |
Physics
|
Reaction of acetic acid, \( C H_{3} C O_{2} H \)
| 1 |
Chemistry
|
A water tank is filled with water upto
height H. A hole is made in a tank wall at a depth D from the surface of water The distance \( X \) from the lower end of
wall where the water stream from tank
strikes the ground is:
B \( .2 \sqrt{D(H+D)} \)
c. \( 2 \sqrt{D(H-D)} \)
\( D \cdot \sqrt{D} \)
| 3 |
Physics
|
\( \int \frac{1}{x+x \log x} d x \)
| 2 |
Maths
|
A naturally occuring sample of copper consists of \( 69.2 \% \) of \( ^{63} \mathrm{Cu} \) and \( 30.8 \% \) of
\( ^{65} \mathrm{Cu} . \) The relative mass of \( ^{63} \mathrm{Cu} \) is 62.93
and that of \( ^{65} \mathrm{Cu} \) is \( 64.93 . \) Find the
atomic mass of a naturally occuring sample of copper.
A. 64.348
B. 63.546
c. 64.12
D. none of these
| 1 |
Chemistry
|
In a slow reaction, rate of reaction
generally with time.
A. decreases
B. increases
c. sometimes increases and sometimes decrease
D. remain constant
| 1 |
Chemistry
|
Which species does not exist?
A \( \cdot\left(\operatorname{Sn} C l_{6}\right)^{2-} \)
B. \( \left(G e C l_{6}\right)^{2-} \)
c. \( \left(C C l_{6}\right)^{2-} \)
D. \( \left(S i C l_{6}\right)^{2-} \)
| 1 |
Chemistry
|
How many carbon atoms are there in
the simplest alkane capable of exhibiting chain isomerism?
A. three
B. five
c. four
D. six
| 1 |
Chemistry
|
If the sum of the measures of two
angles is \( 540^{0} \) and their difference is
\( 60^{0}, \) find their measures in radians.
| 2 |
Maths
|
Solve \( \int \frac{1}{x^{2} \cos ^{2}(1 / x)} d x \)
A . \( \tan x \)
B. - tan \( x \)
\( c \cdot \cot x \)
D. - co
| 2 |
Maths
|
\( \int \frac{1}{1+\sin x} d x= \)
A \( \cdot \tan x+\sec x+c \)
B. \( \tan x-\sec x+c \)
c. \( \cot x-\operatorname{cosec} x+c \)
D. - \( \cot x+\sec x+c \)
| 2 |
Maths
|
Gases have the
density and rigidity
A. least
B. maximum
c. intermediate
D. none
| 1 |
Chemistry
|
If same quantity of electricity is passed
through \( C u C l \) and \( C u S O_{4}, \) the ratio of
the weights of \( C u \) deposited from
\( C u S O_{4} \) and \( C u C l \) is :
A .2: 1
B. 1: 2
c. 1: 1
D. 4: 1
| 1 |
Chemistry
|
The figure indicates the potential
energy curve of a diatomic molecule
What will be the value of binding
energy?
| 3 |
Physics
|
If a cricket ball hits you, it will hurt much more than a tennis ball would when moving with the same velocity because:
A. a cricket ball is bigger
B. a cricket ball has more mass
c. a cricket ball has less density
D. none of the above
| 3 |
Physics
|
A cubical block of mass \( m \) and side \( L \)
rests on a rough horizontal surface with
coefficient of friction \( \mu . \) A horizontal
force \( \boldsymbol{F} \) is applied on the block as shown in the figure. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is:
\( A \cdot \frac{m g}{4} \)
B. \( \frac{m g}{8} \)
\( c \cdot \frac{m g}{2} \)
D. \( m g(1-\mu) \)
| 3 |
Physics
|
Nuclei of a radio-active element \( A \) are
being product at a constant rate \( \alpha \). The
element has a decay constant \( \lambda \). At time
\( t=0 \) there are \( N_{0} \) nuclei of the element
present
(a) Calculate the number of nuclei \( A \) as
a function of time \( t \)
(b) If \( \alpha=2 N_{0} \lambda \), calculate the number
of nuclei of \( A \) after one half-life of \( A \)
and also the limiting value of \( N \) as \( t \rightarrow \)
\( \infty \)
| 3 |
Physics
|
Oils on treating with hydrogen in the presence of palladium or nickel catalyst form fats, this is an example of:
A. addition reaction
B. substitution reaction
c. displacement reaction
D. oxidation reaction
| 1 |
Chemistry
|
Select the correct matches:
(a) Sedimentary nutrient cycle Nitrogen cycle (b) Pioneer species Lichens
(c) Secondary succession Burnt forest (d) Pyramid of biomass in sea - upright
A. a, b, and donly
B. b, and conly
c. a, and conly
D. b, and donly
| 0 |
Biology
|
Which of the following is a correct nomenclature?
This question has multiple correct options
A. Felis domesticus
B. Felis domestica
c. Magnifera indicus
D. tamarindus indica
| 0 |
Biology
|
What is the nature of bond in \( C a H_{2} ? \)
| 1 |
Chemistry
|
What do you mean by electromagnetic
waves? Write the names of all
electromagnetic waves from gamma rays to radio waves in order of their increasing wavelengths.
| 3 |
Physics
|
A compound which gives oxygen on moderate heating is?
A. \( Z n O \)
в. \( A l_{2} O_{3} \)
\( \mathrm{c} \cdot F e_{2} O_{3} \)
D. Hgo
| 1 |
Chemistry
|
Two boats \( A \) and \( B \) having same speed relative to river are moving ina river Boat A moves normal to the river
current as observed by an observer moving with velocity of river current.Boat B moves normal to the river
as observed by the observer on the ground.
A. To a ground observer boat B moves faster than A
B. To a ground observer boat A moves faster than B
c. To the given moving observer boat B moves faster than A
D. To the given moving observer boat A moves faster than B
| 3 |
Physics
|
Exonephric secretion in earthworm is
by
A. Septal nephridia
B. Pharyngeal nephridia
c. Integumentary nephridia
D. Both B and C
| 0 |
Biology
|
In a solution \( 0.04 M F e C l_{2}, 0.02 M \)
\( F e C l_{3} \) and \( 0.01 M H C l, \) how large may
be its \( p H \) (nearest integer) without
there being precipitation of either
\( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{2} \) or \( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3} ? \boldsymbol{K}_{s p} \) of
\( F e(O H)_{2} \) and \( F e(O H)_{3} \) are \( 8 \times 10^{-16} \)
and \( 4 \times 10^{-38} \) respectively.
| 1 |
Chemistry
|
Arrange the following in increasing order of their acidic character:
Benzoic acid, Phenol, Cresol
| 1 |
Chemistry
|
While measuring the acceleration due to gravity by a simple pendulum, a
student makes a positive error of \( 1 \% \) in the length of the pendulum and a negative error of \( 3 \% \) in the value of time
period. His percentage error in the
measurement of \( g \) by the relation \( g= \)
\( 4 \pi^{2}\left(l / T^{2}\right) \) will be
A . \( 2 \% \)
в. \( 4 \% \)
c. \( 7 \% \)
D. \( 10 \% \)
| 3 |
Physics
|
4
| 3 |
Physics
|
The focal length of a concave mirror is
10 \( c m . \) Find its radius of curvature.
\( \mathbf{A} \cdot 25 \mathrm{cm} \)
в. 5 ст
c. \( 10 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
| 3 |
Physics
|
Blood plasma contains
A. 60\% water
B. 80\% water
c. \( 90 \% \) water
D. 98\% water
| 0 |
Biology
|
Which one is found in males only?
A. X-chromosome
B. Y-chromosome
c. \( 2 x \) -chromosomes
D. \( x+x \) -chromosomes
| 0 |
Biology
|
Which of the following equations
corresponds to the enthalpy of
combustion at \( 298 K ? \)
\( \mathbf{A} \cdot C_{2} H_{6}(g)+7 / 2 O_{2}(g) \longrightarrow 2 C O_{2}(g)+3 H_{2} O(g) \)
B \( \cdot 2 C_{2} H_{6}(g)+7 O_{2}(g) \longrightarrow 4 C O_{2}(g)+6 H_{2} O(g) \)
\( \mathbf{c} \cdot C_{2} H_{6}(g)+7 / 2 O_{2}(g) \longrightarrow 2 C O_{2}(g)+3 H_{2} O(l) \)
D. \( 2 C_{2} H_{6}(g)+7 O_{2}(g) \longrightarrow 4 C O_{2}(g)+6 H_{2} O(l) \)
| 1 |
Chemistry
|
In human body, the pressure exerted by the cells is the
atmospheric pressure.
A. equal to
B. more than
c. slightly greater than
D. greater than
| 3 |
Physics
|
Electromagnetic are made of soft iron
because soft iron has.
A. High susceptibility and low retentivity
B. Low susceptibility and high retentivity
c. Low susceptibility and low retentivity
D. High susceptibility and high retentivity
| 3 |
Physics
|
'Sexual selection' in Darwin theory was
the
A. Wearest parttttt
B. Strong part
c. strongest part
D. None of these
| 0 |
Biology
|
The maximum number of \( 90^{\circ} \) angles between the bond pair-bond pair of
electrons is observed in:
A \( \cdot d s p^{2} \)
B. \( s p^{3} d \) hybridization
c. \( d s p^{3} \) hybridization
D. \( s p^{3} d^{2} \) hybridization
| 1 |
Chemistry
|
Dialysis fluid contains all the constituents as in plasma except
A. Electrolytes
B. Proteins
c. Nitrogenous wastes
D. All the above
| 0 |
Biology
|
Solve:
\( \sin ^{-1} x+\sin ^{-1} \sqrt{1-x^{2}} \)
| 2 |
Maths
|
In the extraction of gold the gas used is
A. \( \mathrm{F}_{2} \)
в. \( \mathrm{H}_{2} \)
\( c \cdot \mathrm{Cl}_{2} \)
D. \( \mathrm{N}_{2} \)
| 1 |
Chemistry
|
Assertion
\( \mathbf{3 1 . 2 6} \) mL of \( \mathbf{0 . 1 6 5} \mathbf{~ M} \) solution of
\( B a(O H)_{2} \) is exactly neutralised by 25
mL of citric acid, \( C_{6} H_{8} O_{7} \) of molarity
\( \mathbf{0 . 1 3 8} \)
Reason
The acid is tribasic in nature.
A. Assertion is correct but Reason is wrong
B. Assertion is wrong but Reason is correct
c. Both Assertion and Reason are correct and Reason is correct explanation of Assertion
D. Both Assertion and Reason are correct but Reason is not correct explanation of Assertion
| 1 |
Chemistry
|
Which of the following is used as disinfectant :
A. Benzyl chloride
B. Toluene
c. Phenol
D. Benzene
| 1 |
Chemistry
|
Water pollination is best assessed by determining.
A. DO and BOD
B. BOD and turbidity
c. Do and acidity
D. BOD and alkalinity
| 0 |
Biology
|
Suppose you are given a circle. Give steps of construction to find its centre.
| 2 |
Maths
|
From the ECG of a normal human given
above, pick up the correct
interpretation.
A. The complex QRS- is one complete pulse.
B. Peak P- initiation of left atrial contraction only
C. Peak P and peak R together- systolic and diastolic blood pressures.
D. Peak T- initiation of total cardiac cycle.
| 0 |
Biology
|
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \) where \( \left(\boldsymbol{x}^{2}+\boldsymbol{y}^{2}\right)^{2}=\boldsymbol{x} \boldsymbol{y} \)
| 2 |
Maths
|
In specific resistance measurement of
a wire using a meter bridge, the key k in the main circuit is kept open when we are not taking readings. The reason is
A. the emf of cell will decrease
B. the value of resistance will change due to joule heating effect
c. the galvanometer will stop working.
D. none of these
| 3 |
Physics
|
Select the correct statement(s):
A. The celsius scale is the fundamental unit of the
temperature scale.
B. Kelvin scale defined as 273.16 of the triple point (equilibrium among the solid, liquid, and gaseous phases) of pure water
C \( \cdot \) It is defined as \( \frac{1}{273.16} \) of the triple point (equilibrium among the solid, liquid, and gaseous phases) of pure water.
D. None of these
| 1 |
Chemistry
|
\( N_{1} \) atoms of a radioactive element emit
\( N_{2} \beta \) -particles per second. The decay
constant of the elements is \( \left(\operatorname{in} s^{-1}\right) \)
A \( \cdot \frac{N_{1}}{N_{2}} \)
B. \( \frac{N_{2}}{N_{1}} \)
c. \( N_{1} \ln (2) \)
D. \( N_{2} \ln (2) \)
| 3 |
Physics
|
Find the intersection of \( \boldsymbol{A} \) and \( \boldsymbol{B}, \) and
represent it by Venn diagram:
\( \boldsymbol{A}=\{\boldsymbol{a}, \boldsymbol{c}, \boldsymbol{d}, \boldsymbol{e}\}, \boldsymbol{B}=\{\boldsymbol{b}, \boldsymbol{d}, \boldsymbol{e}, \boldsymbol{f}\} \)
\( \mathbf{A} \cdot\{a, c, d, e\} \)
B \( \cdot\{d, e\} \)
\( \mathbf{c} \cdot\{a, b, c, d, e\} \)
D. None of these
| 2 |
Maths
|
The solution of the equation
\( (\sin x+\cos x)^{1+\sin 2 x}=2,-\pi \leq x \leq \pi \)
is
A \( \cdot \frac{\pi}{2} \)
B.
c. \( \frac{\pi}{4} \)
D. none of these
| 2 |
Maths
|
Two particles are executing simple harmonic motion of the same
amplitude \( A \) and frequency \( \omega \) along the x-axis. Their mean position is separated by distance \( \boldsymbol{X}_{\mathbf{0}}\left(\boldsymbol{X}_{\mathbf{0}}>\boldsymbol{A}\right) . \) If the
maximum separation between them is
\( \left(X_{0}+A\right), \) the phase difference between
their motion is
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 3 \)
c. \( \pi / 4 \)
D. \( \pi / 6 \)
| 3 |
Physics
|
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number
2028
| 2 |
Maths
|
When equal volumes of the solutions
indicated are mixed, precipitation
should occur only for:
\( \left(\boldsymbol{K}_{s p} \) for \right.
\( \boldsymbol{M} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2}, \boldsymbol{B} \boldsymbol{a} \boldsymbol{F}_{2}, \boldsymbol{C} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{2}, \boldsymbol{P} \boldsymbol{b} \boldsymbol{S} \boldsymbol{O}_{4} \)
\( \operatorname{are} 7.1 \times 10^{-12}, 1 \times 10^{-6}, 5.5 \times \)
\( 10^{-6}, 1.6 \times 10^{-8} \) respectively
A \( \cdot 2 \times 10^{-3} M M g^{2+}+2 \times 10^{-3} M O H^{-} \)
B . \( 2 \times 10^{-3} M B a^{2+}+2 \times 10^{-3} M F^{-} \)
C \( \cdot 2 \times 10^{-3} M C a^{2+}+2 \times 10^{-2} M O H^{-} \)
D . \( 2 \times 10^{-3} M C a^{2+}+2 \times 10^{-3} M O H^{-} \)
E \( \cdot 2 \times 10^{-4} M P b^{2+}+2 \times 10^{-5} M S O_{4}^{2-} \)
| 1 |
Chemistry
|
The price of an article was increased by \( \boldsymbol{r} \% \). Later the new price was decreased by \( r \% \). If the latest price was Rs. 1 , then the original price was
A. Rs.
в.
Rs. \( \left(\frac{1-r^{2}}{100}\right) \)
c.
Rs. \( \frac{\sqrt{1-r^{2}}}{100} \)
D.
Rs. \( \frac{10000}{10000-r^{2}} \)
| 2 |
Maths
|
If salivary amylase is lacking in the saliva, which of the following events in the mouth cavity will be affected?
A. Proteins breaking down into amino acids.
B. Starch breaking down into sugars.
c. Fats breaking down into fatty acids and glycerol
D. Absorption of vitamins
| 0 |
Biology
|
Let \( x \) be non-empty set. \( P(x) \) be its power set. Let \( ^{*} \) be an operation defined on element of \( \boldsymbol{P}(\boldsymbol{x}) \boldsymbol{b} \boldsymbol{y}, \boldsymbol{A} * \boldsymbol{B}= \)
\( \boldsymbol{A} \cap \boldsymbol{B} \forall \boldsymbol{A}, \boldsymbol{B} \in \boldsymbol{P}(\boldsymbol{x}) . \) Then
(i) Prove that \( ^{*} \) is a binary operation in \( \boldsymbol{P}(\boldsymbol{x}) \)
(ii) is \( ^{*} \) associative?
(iii) Is \( ^{*} \) commutative?
| 2 |
Maths
|
Lizards reproduce by
A. Laying eggs
B. Roots
c. stems
D. seeds
| 0 |
Biology
|
Assume 100 pm \( X \) -ray beam is passed through YDSE. Interference pattern is observed on a photographic plate placed \( 40 \mathrm{cm} \) away from the slits. What should be the separation between the slits so that the separation between two successive maxima is \( 0.1 \mathrm{mm} \)
A \( .4 \mu m \)
в. \( 0.4 \mu m \)
\( c .4 n m \)
D. \( 40 \mu m \)
| 3 |
Physics
|
Match the following lists
| 0 |
Biology
|
The area of the region between the curve
\( \boldsymbol{y}=\boldsymbol{x}^{3} \) and the lines \( \boldsymbol{y}=-\boldsymbol{x} \) and \( \boldsymbol{y}=\mathbf{1} \)
is:
A. 5 sq. units
B. \( \frac{4}{5} \) sq. units
c. \( \frac{5}{4} \) sq. units
D. \( \frac{3}{5} \) sq. units
| 2 |
Maths
|
Assertion (A) : A large soap bubble expands while a small bubble shrinks, when they are connected to each other by a capillary tube. Reason (R): The excess pressure (due to surface tension) inside a spherical bubble is more due to its small volume.
A. Both Assertion
(A) and Reason
(R) are true and the Reason (R) is correct explanation of the Assertion(A)
B. Both Assertion
(A) and Reason (R) are true, but Reason
(R) is not correct explanation of the Assertion(A)
c. Assertion (A) is true, but the Reason
(R) is false
D. Assertrion
(A) is false, but the Reason (R) is true
| 3 |
Physics
|
Which statement(s) is/are correct?
This question has multiple correct options
A. Polarizing power refers to cation
B. Polarizability refers to anion
C. Small cation is more efficient to polarise anion
D. Molecules in which cation having pseudo inert gas configuration are more covalent
| 1 |
Chemistry
|
Which family plants are rich source of proteins?
A. Cruciferae
B. Leguminosae
c. Liliaceae
D. compositae
| 0 |
Biology
|
If magnetic flux through area \( 20 m^{2} \) at
point \( P \) in magnetic field is 50 Weber
then magnetic induction at point \( \boldsymbol{P} \) is :
A . \( 5 T \)
в. \( 200 T \)
c. \( 1000 T \)
D. \( 2.5 T \)
| 3 |
Physics
|
An aqueous solution of glucose is \( 10 \% \) (w/v). The volume in which 1 mole of glucose is dissolved, will be:
\( \mathbf{A} \cdot 180 \mathrm{L} \)
B. 91 L
c. \( 0.91 \mathrm{L} \)
D. 1.8 L
| 1 |
Chemistry
|
The incident ray and the reflected ray from a mirror is mutually perpendicular to each other. Find the angle of incidence.
A \( \cdot 0^{\circ} \)
B. 90
\( c \cdot 30 \)
D. 45
| 3 |
Physics
|
A number is increased by \( 10 \% \) an then the increased number is decreased by
\( 10 \% . \) Find the net increase or decrease
percent.
| 2 |
Maths
|
During fusion of ice, the entropy of system:
A. decreases
B. remains constant
c. increases
D. none of these
| 1 |
Chemistry
|
The reaction of \( X e F_{6} \) with silica \( \left(S i O_{2}\right) \) gives:
A. \( X e O_{3} \) and \( S i F_{4} \)
B. \( X e F_{4} \) and \( S i F_{4} \)
c. \( X e O F_{2} \) and \( S i F_{4} \)
D. \( X e O F_{4} \) and \( S i F_{4} \)
| 1 |
Chemistry
|
The halogen with the smallest covalent radius is:
A . \( I \)
в. \( C l \)
\( c \cdot B r \)
D. \( F \)
| 1 |
Chemistry
|
If \( \tan A=-\frac{1}{2} \) and \( \tan B=-\frac{1}{3} . \) (where
\( A, B>0), \) then \( A+B \) can be
A \( \cdot \frac{\pi}{4} \)
в. \( \frac{3 \pi}{4} \)
c. \( \frac{5 \pi}{4} \)
D. \( \frac{7 \pi}{4} \)
| 2 |
Maths
|
Assertion
If mean \( \& \) median of an asymmetrical
distribution are 58 \& 61 respectively,
then Mode \( =\mathbf{6 7} \)
Reason
For an asymmetrical distribution Mode
\( =3 \) Median - 2 Mean
A. Both Assertion \&. Reason are individually true \& Reason is correct explanation of Assertion.
B. Both Assertion \& Reason are individually true but Reason is not the correct (proper) explanation of Assertion
c. Assertion is true Reason is false
D. Assertion is false Reason is true
| 2 |
Maths
|
The solubility of gases in liquids is not affected by the pressure because the vapor pressure of a substance is not a function of external pressure.
A . True
B. False
| 1 |
Chemistry
|
In the figure shown, a cubical block is held stationary against a rough wall by
applying force, ' \( \boldsymbol{F}^{\prime} \), then incorrect
statement among the following is
A. frictional force \( f=M g \)
B. \( F=N, N \) is normal reaction
C. \( F \) does not apply any toque
D. \( N \) does not apply any torque
| 3 |
Physics
|
Mean deviation from median of the data
90,100,125,115,110 is?
A . 10
B . 20
c. 30
D. None of these
| 2 |
Maths
|
When copper is reacted with conc.
sulphuric acid, which gas is evolved?
A. \( H_{2} \)
в. \( O_{2} \)
\( c \cdot S O_{2} \)
D. \( S O_{3} \)
| 1 |
Chemistry
|
Solve: \( 5 x-3<3 x+1, \) where \( x \) is an
integer.
\( \mathbf{A} \cdot\{-3,-2,-1,0,1,2,3\} \)
B . \{-5,-4,-3,-2,-1,0,1,2\}
c. \{-4,-3,-2,-1,0,1\}
D \( \cdot\{-2,-1,0,1,2\} \)
| 2 |
Maths
|
Which of the following oxides of nitrogen is a white solid?
A . \( N O \)
в. \( N O_{2} \)
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{3} \)
D. \( N_{2} O_{5} \)
| 1 |
Chemistry
|
If \( (\sin \alpha) x^{2}-2 x+b \geq 2, \) for all rea
values of \( \boldsymbol{x} \leq \mathbf{1} \) and \( \boldsymbol{\alpha \epsilon}\left(\mathbf{0}, \frac{\boldsymbol{\pi}}{\mathbf{2}}\right) \cup\left(\frac{\boldsymbol{\pi}}{\mathbf{2}}, \boldsymbol{\pi}\right) \)
then possible real values of \( b \) is /are
This question has multiple correct options
A .2
B. 3
\( c \cdot 4 \)
D. 5
| 2 |
Maths
|
Evaluate the following limits. \( \lim _{x \rightarrow 0} \frac{\sqrt{a^{2}+x^{2}}-a}{x^{2}} \)
A \( \cdot \frac{1}{\sqrt{a}} \)
в. \( \frac{1}{\sqrt{2 a}} \)
\( c \cdot \frac{1}{a} \)
D. \( \frac{1}{2 a} \)
| 2 |
Maths
|
Match the following with the correct
answers.
(a) Scouring
(i) Yields silk
fibers
(b) Mulberry leaves
(ii) Cleaning sheared skin
(c) Sheep
(iii) Food of silk
worm.
(d) Cocoon
(iv) Wool yielding animal.
B . a - ->i, b- -> ii, c- -> iii, d- > iv
\( c \cdot a->-i v, b->>i i i, c-\rightarrow>i i, d->i \)
D. a->- ii, b- -> i, c- -> ii, d- - > iv
| 1 |
Chemistry
|
Which one of these muscles tires out
easily?
A. Cardiac
B. Unstriated
c. striated
D. All of the above
| 0 |
Biology
|
Explain why the electric field inside a conductor placed in an external electric field is zero.
| 3 |
Physics
|
From the following data at constant volume for combustion of benzene,
calculate the heat of this reaction at
constant pressure condition.
\( \boldsymbol{C}_{6} \boldsymbol{H}_{6}(\boldsymbol{l})+\mathbf{1 5} / \mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{6} \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{l}) \)
\( \Delta U \) at \( 25^{\circ} C=-3268.12 k J \)
| 1 |
Chemistry
|
Find the values of \( x, \) if \( \left|\begin{array}{cc}\mathbf{2 x} & \mathbf{5} \\ \mathbf{8} & \boldsymbol{x}\end{array}\right|=\left|\begin{array}{ll}\mathbf{6} & \mathbf{5} \\ \mathbf{8} & \mathbf{3}\end{array}\right| \)
| 2 |
Maths
|
Form the given figure, find the values of
\( x \) and \( y \) respectively.
A \( \cdot 47^{\circ}, 66^{\circ} \)
B \( \cdot 66^{\circ}, 48^{\circ} \)
\( \mathbf{c} \cdot 68^{\circ}, 47^{\circ} \)
D. \( 47^{\circ}, 68^{\text {? }} \)
| 2 |
Maths
|
A potential difference of \( V \) volts is
applied on an \( \alpha \) -particle at rest in order
to get sufficient velocity so that when it is projected from infinity towards \( \boldsymbol{A} \boldsymbol{u} \)
foil, it can reach closest upto \( x \) meters
from \( A u \) nucleus. If instead of an \( \alpha \)
particle, a proton is used in the above experiment and is accelerated from rest by the same potential difference, then
the closest distance from the \( \boldsymbol{A} \boldsymbol{u} \)
nucleus upto which it can reach is \( y \)
meters. The ratio \( x: y \) is
A . 2: 1
B. 3:2
\( c \cdot 1: 1 \)
D. 2:3
| 3 |
Physics
|
If a letter is selected at random from the
letters of the word LOGARITHMS, then
what is the probability that it will be a consonant?
| 2 |
Maths
|
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