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Energy gaps between the highest band and the lowest empty bands in elements \( A, B, C \) and \( D \) are 0,70,530 and \( 90 k J m o l^{-1} . \) Then
A. element A is metal
B. element C is insulator
c. element B and D can be semiconductors
D. all are correct conclusion about elements A, B, C and D | 3 | Physics |
The effficiency of carnot cycle is given by:
\( \mathbf{A} \cdot\left(1-T_{2} / T_{1}\right) \)
B. \( \left(1+T_{2} / T_{1}\right) \)
c. \( \left(1-T_{1} / T_{2}\right) \)
D. \( \left(1-T_{2} \times T_{1}\right) \) | 3 | Physics |
Sal and teak is the dominant species in which of the following forests :-
A. Tropical dry deciduous forests
B. Temperate deciduous forest
c. Temperate rain forest
D. None of the above | 0 | Biology |
The World Nuclear Association
considers used fuel management to be
sustainable if it meets the following key
criteria:
A. It covers all the steps of used fuel management from the generation of used fuel up to and including final disposal in accordance with a well defined practical plan.
B. It proves to be feasible with a sustainable impact level
C. It protects human health and the environment and has no greater impact on the health of future generations than is allowed today.
D. It is able to demonstrate to a practicable extent that it is technically and economically viable.
E. All of the above | 3 | Physics |
A random variable \( X \) takes the values
\( \mathbf{0}, \mathbf{1} \) and \( \mathbf{2} . \) If \( \boldsymbol{P}(\boldsymbol{X}=\mathbf{1})=\boldsymbol{P}(\boldsymbol{X}=\mathbf{2}) \) and
\( P(X=0)=0.4, \) then the mean value
of the random variable \( \boldsymbol{X} \) is
A . 0.2
B. 0.5
\( c .0 .7 \)
D. 0.9 | 2 | Maths |
Which is the short day plant from the following?
A. cotton
B. Rice
c. sugarcane
D. All of the above | 0 | Biology |
The current in an ideal, long solenoid is varied at a uniform rate of \( 0.01 A / s . \) The solenoid has 2000 turns/m and its
radius is \( 6.0 \mathrm{cm} \)
(a) Consider a circle of
radius \( 1.0 \mathrm{cm} \) inside the solenoid with its axis coinciding with the axis of the solenoid. Write the change in the magnetic flux through this circle in 2.0 seconds.
(b) Find the electric field
induced at a point on the circumference of the circle.
(c) Find the electric field
induced at a point outside the solenoid
at a distance \( 8.0 \mathrm{cm} \) from its axis. | 3 | Physics |
A particle is acted upon by a force of
constant magnitude which is always perpendicular to the velocity of the
particle. The motion of the particle takes place in a plane. It follows
A. its velocity is constant
B. its K.E. is constant
c. its acceleration is constant
D. it moves in a straight line | 3 | Physics |
What is the mass of a lead atom? | 1 | Chemistry |
Cells which help in rolling and unrolling of leaf lamina in grasses are
A. Complementary cells
B. Motor cells
c. Passage cells
D. Companion cells | 0 | Biology |
How much time would it take to
distribute one Avogadro number of wheat grains, if \( 10^{10} \) grains are
distributed each second? | 1 | Chemistry |
State True(1) or False(O)
A solid ball is exactly fitted inside the cubical box of side a. The volume of the
ball is \( \frac{4}{3} \pi a^{3} \) | 2 | Maths |
Multiply:
\( \left(m^{2}-5\right) \times\left(m^{3}+2 m-2\right) \) | 2 | Maths |
Urea on reacting with water gives:
A . \( N H_{3} \)
в. \( N_{2} O_{3} \)
c. \( H N O_{2} \)
D. \( H N O_{3} \) | 1 | Chemistry |
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\boldsymbol{3} \cos \left(\frac{\boldsymbol{\pi}}{\boldsymbol{6}}+\boldsymbol{x}^{0}\right)-\boldsymbol{4} \cos ^{3}\left(\frac{\boldsymbol{\pi}}{\boldsymbol{6}}+\boldsymbol{x}^{0}\right)\right. \)
A \( \cdot \cos \left(3 x^{0}\right) \)
B. \( \frac{\pi}{60} \sin \left(3 x^{0}\right) \)
c. \( \frac{\pi}{60} \cos \left(3 x^{0}\right) \)
D. \( -\frac{\pi}{60} \sin \left(3 x^{0}\right) \) | 2 | Maths |
Pacemaker enzyme of EMP pathway is
A. Hexokinase
B. Pyruvate kinase
c. Enolase
D. Phosphofructokinase | 0 | Biology |
Assume that blue flowered plant is dominant character over the white.
When a blue flowered plant is crossed
with its white flowered plant, the
progeny showed \( 50 \% \) of plants with blue flowers is with white flowers. The
genotypes of blue and white parents respectively are
\( A \cdot b b, b b \)
B. ВВ, Вь
\( c \cdot B B, b b \)
D. Bb, bb | 0 | Biology |
Calculate inductive reactance of coil in
the following figure. | 3 | Physics |
The volume strength of \( 3 N H_{2} O_{2} \) solution is:
A . \( 11.2 \mathrm{V} \)
B. \( 8.4 \mathrm{V} \)
c. \( 22.4 \mathrm{V} \)
D. 16.8 V | 1 | Chemistry |
The reaction \( \boldsymbol{C H}_{3} \boldsymbol{C O O H}+ \)
\( C_{2} H_{5} O H \leftrightharpoons C H_{3} C O O C_{2} H_{5}+H_{2} O \)
can be made to proceed in the forward direction by:
A. increasing the temperature
B. sudden cooling of the reaction mixture
c. conducting the reaction in the presence of a small quantity of \( N a O H \)
D. taking excess of \( C_{2} H_{5} O H \) and \( C H_{3} C O O H \) | 1 | Chemistry |
A sample of hydrogen gas contain 100 atoms. All the atoms are excited to the
same n excited state. The energy released by all the atoms is \( \frac{4800}{49} . R= \) \( 13.6 \mathrm{eV} \) ), as they come to the ground
state through various types of transition Then Find
A. maximum energy of the emitted photon will be less \( \operatorname{than} \frac{48}{49} R c h \)
B. Maximum energy of the emitted photon may be greater than \( \frac{48}{49} \) Rch
c. The value of \( n=6 \)
D. None of these | 3 | Physics |
Which of the following compounds has highest boiling point?
A. Propan-1-ol
B. \( n \) - butane
c. chloroethane
D. Propanal | 1 | Chemistry |
Which one of the following statements
is not correct?
A. Nickel forms \( N i(C O)_{4} \)
B. All the transition metals form monometallic carbonyl
c. \( N i(C O)_{4} \) is volatile and decomposes into Ni and \( c o \)
D. Transition metals form complexes | 1 | Chemistry |
As the s-character of hybridized orbital decreases, the bond angle
A. Decreases
B. Increases
c. Does not change
D. become zero | 1 | Chemistry |
Non-metals are poor conductors of heat, which are tend to:
A. be brittle
B. conduct an electrical current
c. have a shiny luster
D. be malleable
E. lose electrons | 1 | Chemistry |
Voice is high pitched in
A. Aged persons
B. Adult males
c. Boys
D. Females | 0 | Biology |
An organic compound having molecular mass 60 is found to contain \( C=20 \% \)
\( \boldsymbol{H}=\mathbf{6 . 6 7 \%} \) and \( \boldsymbol{N}=\mathbf{4 6 . 6 7} \%, \) while rest
is oxygen. On heating, it gives \( \boldsymbol{N} \boldsymbol{H}_{3} \) along with a solid residue. The solid residue gives violet colour with alkaline
copper sulphate solution. The compound is:
A \( \cdot C H_{3} N C O \)
в. \( C H_{3} C O N H_{2} \)
c. \( \left(N H_{2}\right)_{2} C O \)
D. \( C H_{3} C H_{2} C O N H_{2} \) | 1 | Chemistry |
The attraction between molecules and
salt, when a salt is dissolved in water molecules, is :
A. atom- atom
B. molecule-molecule
c. molecule-ion
D. ion-ion
E. atom-ion | 1 | Chemistry |
Transfer of electrons from one atom to
other atom takes place in:
A. covalent bond
B. ionic bond
c. co-ordinate covalent bond
D. none of these | 1 | Chemistry |
For which of the following ideal gas
\( C_{V, m} \) is independent of temperature?
A. \( H e \)
в. \( H_{2} \)
c. \( C O \)
\( \mathrm{D} \cdot \mathrm{SO}_{2} \) | 3 | Physics |
The volume that a gas occupies at \( 343 \mathrm{K} \) if its volume at \( -25^{0} \mathrm{C} \) is 7.5 litre is (The
process is isobaric)
A. 10.29 Itrs
B. 102.9 Itrs
c. 1.029 Itrs
D. 1029 Itrs | 3 | Physics |
The wire shown in Fig, carries a current
of \( 10 A . \) Determine the magnitude of
magnetic field at the centre \( O \). Given
radius of the bent coil is \( 3 \mathrm{cm} \). | 3 | Physics |
Starting with elemental phosphorus, \( \boldsymbol{P}_{4} \)
phosphoric acid can be prepared as
shown \( \boldsymbol{P}_{4}(s)+\mathbf{5} O_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{P}_{4} \boldsymbol{O}_{10}(s) \stackrel{\boldsymbol{H}_{2} O}{\longrightarrow} \)
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \)
A. True
B. False | 1 | Chemistry |
Adjacent graph shows the variation of velocity of a rocket with time. Find the
time of burning of fuel from the graph
\( \left(g=10 m / s^{2}\right) \)
A \( .10 \mathrm{sec} \)
B. 110 sec
\( \mathrm{c} \cdot 120 \mathrm{sec} \)
D. Cannot be estimated from the graph | 3 | Physics |
What is forbidden energy gap(Eg) or band gap?
A. Forbidden energy gap \( E_{g} \) is the difference of energy levels of conduction band and within conduction band
B. Forbidden energy gap \( E_{g} \) is the difference of energy levels of conduction band and valence band.
C. when there is no energy
D. conduction band | 3 | Physics |
In organic compounds, halogens are estimated by :
A. Carius method
B. Liebig's method
c. Kjeldahl's method
D. Duma's method | 1 | Chemistry |
Assertion
In the warmer liquid, the greater
number of molecules are energetic
enough to escape the surface during
evaporation.
Reason
Increase in temperature increases the
rate of evaporation.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 3 | Physics |
Which of the following is mismatched?
A. Semicircular canals-inner ear
B. Utride and saccule - outer ear
c. Auditory canal - outer ear
D. ossicles - middle ear | 0 | Biology |
\( \int_{-\pi}^{\pi} \sin m x \sin n x d x=? \) | 2 | Maths |
The specific set of real numbers that lies between two conditional numbers \( a \)
and \( b \) is classified as
A . interval
B. break
c. double interval
D. equal interval | 2 | Maths |
The motion of centre of mass depends
on
A. total external forces
B. total internal forces
c. sum of \( (a) \) and \( (b) \)
D. None of these | 3 | Physics |
Consider the function \( \boldsymbol{f}(\boldsymbol{x}) \) which satisfying the functional equation:
\( 2 f(x)+f(1-x)=x^{2}+1, \forall x \in R \) and
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{3} \boldsymbol{f}(\boldsymbol{x})+1 \)
The range of \( \phi(x)=g(x)+\frac{1}{g(x)+1} \) is
\( A \cdot[2, \infty) \)
B. \( [1, \infty) \)
\( c \cdot[-1, \infty) \)
D. \( R^{+} \) | 2 | Maths |
Two bodies, \( A(\text { of } \operatorname{mass} 1 \mathrm{kg}) \) and \( \mathrm{B} \) (of mass \( 3 \mathrm{kg} \) ), are dropped from heights of
\( 16 \mathrm{m} \) and \( 25 \mathrm{m} \) respectively. The ratio of
the time taken by them to reach the ground is:-
A \( \cdot \frac{5}{4} \)
в. \( \frac{12}{5} \)
c. \( \frac{5}{12} \)
D. \( \frac{4}{5} \) | 3 | Physics |
Evaluate \( : \int \frac{\log x}{x} d x \) | 2 | Maths |
Assertion
Oxy hydrogen blow torch is used for
welding.
Reason
The temperature produced here is
above \( 2000^{\circ} \mathrm{C} \)
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 but Reason is correct | 1 | Chemistry |
Assertion
When the electric current in a loop of wire changes, the changing current
creates a changing magnetic field.
Reason
Magnetic field lines of a circular loop of
wire is same as a magnet.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 3 | Physics |
The length of two wires are in the ratio
\( 3: 4 . \) Ratio of the diameters is 1: 2
young's modulus of the wires are in the
ratio \( 3: 2 ; \) If they are subjected to same
tensile force, the ratio of the elongation produced is
A . 1:
B. 1: 2
c. 2: 3
\( D \cdot 2: \) | 3 | Physics |
The reaction that gives phenol as the
end product is/are:
This question has multiple correct options
\( \mathbf{A} \)
\( \sqrt{ }+\operatorname{conc.H}_{2} \operatorname{so}_{4} \frac{\text { Heat }}{\text { Fusion }}>\frac{\mathbf{H}^{+}}{\mathbf{H}_{2} \mathbf{O}} \)
B. \( \sqrt{\int}^{\mathrm{N} \mathrm{O}_{2}} \frac{\mathrm{NaNO}_{2}}{\mathrm{HCl}, 0^{\circ} \mathrm{C}} \)
\( c \)
\( y_{1}+\mathbf{k o H} \stackrel{300^{\circ} \mathbf{C}}{\longrightarrow} \stackrel{\mathbf{H C l}}{\longrightarrow} \)
\( \mathbb{P}+\mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}_{2} \stackrel{\mathrm{H}^{+}}{\longrightarrow} \frac{\mathrm{O}_{2}}{\mathrm{KOH}}>\frac{\mathrm{H}^{+}}{ } \) | 1 | Chemistry |
The equilibrium constants for the two complex formation are :
\( \boldsymbol{4} \boldsymbol{K}^{+}+\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}^{4-} \longrightarrow \)
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] ; \boldsymbol{K}=\mathbf{3} . \boldsymbol{8} \times \mathbf{1 0}^{-\mathbf{3 8}} \)
\( \mathbf{3} \boldsymbol{K}^{+}+\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}^{\boldsymbol{3}-} \longrightarrow \)
\( \boldsymbol{K}_{3}\left[\boldsymbol{F e}(\boldsymbol{C N})_{6}\right] ; \boldsymbol{K}=\mathbf{5} \times \mathbf{1 0}^{-18} \)
A \( \cdot K_{4} F e(C N)_{6} \) is more stable
B . \( K_{3} F e(C N)_{6} \) is more stable
c. both are equally stable
D. stability of complexes cannot be decrease | 1 | Chemistry |
Find the length \( E C \)
\( s \)
D | 2 | Maths |
Solve the following equation:
\( 2 \cos ^{2} x+4 \cos x=3 \sin ^{2} x \) | 2 | Maths |
A bullet of mass \( 20 g \) is horizontally
fired with a velocity \( 150 \mathrm{ms}^{-1} \) from a
pistol of mass \( 2 k g . \) What is the recoil
velocity of the pistol? | 3 | Physics |
The ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) cuts \( x \) axis at
A and y axis at \( \mathrm{B} \) and the line joining the focus \( \mathrm{S} \) and \( \mathrm{B} \) makes an angle \( \frac{3 \pi}{4} \) with x-axis. Then the eccentricity of the ellipse is
A. \( \frac{1}{\sqrt{2}} \)
в. \( \frac{1}{2} \)
c. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{1}{3} \) | 2 | Maths |
\( \left(2^{2}+4^{2}+6^{2}+\ldots \ldots+20^{2}\right)=? \)
A . 77
В. 1155
\( c .1540 \)
D. \( 385 \times 385 \) | 2 | Maths |
A bar magnet oscillates with a
frequency of10 oscillations per minute. When another bar magnet is placed on its axis at a small distance, it oscillates
at 14 oscillations per minute. Now, the second bar magnet is turned so that poles are instantaneous, keeping the location same. The new frequency of oscillation will be
\( A \cdot 2 \) vibrations/min
B. 4 vibrations/min
c. 10 vibrations/min
D. 14 vibrations/min | 3 | Physics |
Simplify the following.
\( b^{4} \div b^{5} \) | 2 | Maths |
The radioactive isotope of hydrogen contains 2 neutrons.
A. True
B. False | 3 | Physics |
Prove that \( (\operatorname{cosec} \theta-\cot \theta)^{2}=\frac{1-\cos \theta}{1+\cos \theta} \) | 2 | Maths |
Sum of the fractions \( \frac{\mathbf{7}}{\mathbf{1 2}}, \frac{\mathbf{1 2}}{\mathbf{1 2}}, \frac{\mathbf{8}}{\mathbf{1 2}} \) is
equal to
A \( \cdot \frac{26}{12} \)
в. \( \frac{19}{12} \)
c. \( \frac{27}{12} \)
D. \( \frac{23}{12} \) | 2 | Maths |
Which animal show did you see? | 0 | Biology |
Find the \( 4^{t h} \) term from the end of the G.P. \( \frac{2}{27}, \frac{2}{9}, \frac{2}{3}, \dots \dots \dots, 162 \) | 2 | Maths |
The number of isotopes of hydrogen are:
\( A \cdot 2 \)
B.
\( c \cdot 4 \)
D. | 1 | Chemistry |
If \( \boldsymbol{x}=\mathbf{5} \) and \( \boldsymbol{y}=\mathbf{2} \) then \( \boldsymbol{x}-\mathbf{2} \boldsymbol{y}=\mathbf{9 . T h e} \)
contrapositive of this statement is
A. If \( x-2 y \neq 9 \) then \( x \neq 5 \) or \( y \neq 2 \)
B. If \( x-2 y \neq 9 \) then \( x \neq 5 \) and \( y \neq-2 \)
c. If \( x-2 y=9 \) then \( x=5 \) and \( y=-2 \)
D. none of these. | 2 | Maths |
What stimulates the auditory nerve?
A. The movement of the three ear ossicles
B. The movement of stirrup
C. The movement of fluid in the cochlea
D. All of these | 3 | Physics |
\( \lim _{x \rightarrow 0} \frac{\sin x}{x} \) is equal to:
\( A \cdot 2 \)
B. - -
\( c \)
D. | 2 | Maths |
Let \( r^{t h} \) term of a series is given by, \( \boldsymbol{T}_{\boldsymbol{r}}= \) \( \frac{r}{1-3 r^{2}+r^{4}} \)
Then \( \lim _{n \rightarrow \infty} \sum_{r=1}^{n} T_{r} \) is
A \( \cdot \frac{3}{2} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{-1}{2} \)
D. \( \frac{-3}{2} \) | 2 | Maths |
Boron has two stable isotopes, \( 10_{B(19 \%)} \)
and \( ^{11} \mathrm{B}(81 \%) . \) The atomic mass that
should appear for boron in the periodic table is | 1 | Chemistry |
In the circuit shown in Figure the heat
produced in resistance R1 can be measured by
A. connecting both voltmeter and an ammeter in parallel to R1
B. both voltmeter in series with \( \mathrm{R} 1 \) and voltmeter in parallel to both R1 and R2
C. connecting ammeter in parallel to R1 and voltmeter in series with R1
D. connecting voltmeter in parallel to R1 and ammeter in series with R1 | 3 | Physics |
Explain why a charged balloon is
repelled by another charged balloon
whereas an uncharged balloon is attracted by another charged balloon? | 3 | Physics |
Determine whether the following compound statements are true or false:
Delhi is in India and \( 2+2=4 \)
A . True
B. False | 2 | Maths |
Polycyclic aromatic hydrocarbon are
formed from:
A. incomplete combustion of coal
B. incomplete combustion of oil and gas
C. incomplete combustion of organic substance
D. all of these | 1 | Chemistry |
How many moles of helium are
produced when one mole of \( _{92}^{238} U \) disintegrates into \( _{82}^{206} \) Pb? | 1 | Chemistry |
Evaluate \( \int \frac{x^{2}}{(x \sin x+\cos x)^{2}} d x \)
A. \( \frac{\sin x-x \cos x}{x \sin x+\cos x}+c \)
в. \( \frac{\cos x-x \sin x}{x \sin x+\cos x}+c \)
c. \( \frac{\cos x-x \sin x}{x \sin x-\cos x}+c \)
D. \( \frac{\sin x+x \cos x}{x \sin x+\cos x}+c \) | 2 | Maths |
The intensity of magnetic induction field at the centre of a single turn circular coil of radius \( 5 \mathrm{cm} \) carrying of
0.9 A current is:
A . \( 36 \pi \times 10^{-7} \mathrm{T} \)
В . \( 9 \pi \times 10^{-7} T \)
\( \mathbf{c} \cdot 36 \pi \times 10^{-6} T \)
D. \( 9 \pi \times 10^{-6} T \) | 3 | Physics |
Based on the following diagram, which colored bond(s) and corresponding number would exhibit the weakest
attractive forces for the structure?
A. Green (#3)
B. Red (#2)
c. Green (#3) and blue (#1)
D. Yellow (#4) | 1 | Chemistry |
Which of the following is an example of fossil fuel?
A. Oxygen gas
B. Hydrogen Gas
c. Natural gas
D. Producer gas | 3 | Physics |
The melting point of ice on Kelvin scale
is:
\( A \cdot O K \)
в. - -273 к
с. 273 к
D. 373 к | 1 | Chemistry |
A body, initially at rest, is acted upon by four forces \( \boldsymbol{F}_{\mathbf{1}}=\hat{\boldsymbol{i}}+\widehat{\boldsymbol{k}}, \boldsymbol{F}_{2}=\mathbf{2} \hat{\boldsymbol{j}}+ \)
\( \mathbf{3} \widehat{k}, \boldsymbol{F}_{3}=\mathbf{3} \hat{\mathbf{i}} \) and \( \boldsymbol{F}_{4}=\mathbf{3} \hat{\mathbf{j}}-\mathbf{4} \hat{\mathbf{i}} . \) In which
plane will the body move?
A. x-y plane
B. x-z plane
c. \( y \) -z plane
D. none of these | 2 | Maths |
What makes a balloon get inflated when
air is filled in it? | 3 | Physics |
The resistance of wire is 5 ohm at \( 50 C \)
and 6 ohm at 100 C. The resistance of the
wire at \( 0 \mathrm{C} \) willbe
A. 2 ohm
B. 1 ohm
c. 4 ohm
D. 3 ohm | 3 | Physics |
In the given figure, the current in the cell is
A . 33 A
в. 3.3 А
c. 0.33 A
D. 3.32 A | 3 | Physics |
For the reaction, \( \boldsymbol{A B}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{A}(\boldsymbol{g})+\boldsymbol{B}(\boldsymbol{g}), \boldsymbol{A B} \) is \( \boldsymbol{3} \boldsymbol{3} \% \)
dissociated at a total pressure of \( \boldsymbol{P} \)
Therefore, \( P \) is related to \( K_{p} \) by one of
the following option:
A \( \cdot P=K_{p} \)
В. \( P=3 K_{p} \)
\( \mathbf{c} \cdot P=4 K_{p} \)
D. \( P=8 K_{p} \) | 1 | Chemistry |
A metal ball is heated through a certain
temperature. Out of mass, radius, surface area and volume, which will
undergo largest percentage increase and which one the least? | 3 | Physics |
In case of an orbiting satellite, if the radius of orbit is decreased
A . its \( K E \) decreases
B. its \( P E \) decreases
c. its \( M E \) is doubled
D. it stops moving in the orbit | 3 | Physics |
Lines \( \mathrm{PQ} \) and RS intersect at \( 0 . \) If \( \angle P O R \)
is three times \( \angle R O Q, \) then \( \angle S O Q \) is
A \( \cdot 120^{\circ} \)
B. 150
\( c \cdot 135 \)
D. 45 | 2 | Maths |
Modern periodic table has
periods.
A. 7
B. 8
\( c \cdot 6 \)
\( D \) | 1 | Chemistry |
Which does not lead to secondary succession?
A. All organisms that existed are lost
B. Where no living organisms ever existed
C. Abandoned crop field
D. Land affected by flood | 0 | Biology |
The part labelled as A in the given image helps in
A. Removal of waste from the blood
B. Gaseous exchange
c. circulation of blood
D. None of the above | 0 | Biology |
In a neuron, Schwann cells occur in
associated with
\( A \cdot A \times O n \)
B. Soma
c. Dendrite
D. Axon hillock | 0 | Biology |
An Egg Seller distributes eggs to the shop in a city. The number of eggs he distributes for each shop has been recorded and the data obtained was
grouped into a class shown in the table
below. Find the mean using shortcut
method.
\begin{tabular}{|l|l|l|l|l|l|l|}
\hline Number of eggs & \( 0-30 \) & \( 30-60 \) & \( 60-90 \) & \( 90-120 \) & \( 150- \) 150 & \( 150- \) 180 \\
\hline Frequency & 40 & 26 & 38 & 12 & 25 & 30 \\
\hline
\end{tabular}
A. 91.5
B. 83.07
c. 87.34
D. 89.76 | 2 | Maths |
On an unbaked road, a cyclist
negotiating a bend of radius \( r \) at
velocity \( v \) must lean inwards by an
angle \( \theta \) equal to
A \( \cdot \tan ^{-1}\left(v^{2} / g\right) \)
B. \( \tan ^{-1}(g / v) \)
c. \( \tan ^{-1}\left(v^{2} / g r\right) \)
D. \( \tan ^{-1}\left(r g / v^{2}\right) \) | 3 | Physics |
Select the incorrect statement among
the following.
\( A \cdot O_{3} \) is used as germicide for purification of air
B. \( \ln O_{3}, O-O \) bond length is identical with that of
molecular oxygen
C. \( O_{3} \) molecule is angular in shape
D. \( O_{3} \) is an oxidising agent | 1 | Chemistry |
Which of the following metals is
obtained by the reduction of metal oxide using hydrogen gas?
A. \( C u \)
в. \( A l \)
c. \( M g \)
D. \( F e \) | 1 | Chemistry |
Let \( \mathbf{f}: \boldsymbol{N} \rightarrow \boldsymbol{N}, \) where \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}+ \)
\( (-1)^{x-1}, \) then
A. \( f(x) \) is symmetric about \( x=1 \)
B. \( f(x) \) is symmetric about \( y=x \)
c. \( f(x) \) is not symmetric about \( y=x \)
D. \( f(x) \) is symmetric about \( x=a, a \in N \) | 2 | Maths |
The resistance of \( 2 \Omega \) is connected
across one gap of a meter-bridge (length of the wire is \( 100 \mathrm{cm} \) ) and an unknown resistance greater than \( 2 \Omega \) is connected across the other gap. When the resistance are interchanged, the balance point shifts by 20cm. Neglecting any corrections, the unknown resistance is: \( (\text { in } \Omega) \) | 3 | Physics |
\( A(1,-1,-1), B(2,1,-2) \) and \( C(-5,2,-6) \) are the
position vectors of the vertices of triangle \( A B C \) The length of the bisector
of its internal angle at \( A \) is:
A. \( \frac{\sqrt{10}}{4} \)
B. \( \frac{3 \sqrt{10}}{4} \)
c. \( \sqrt{10} \)
D. none | 2 | Maths |
When 0.2 mole of ethane is burnt completely in a bomb calorimeter, the temperature of calorimeter system increased by \( 2 K \). What should be the
increase in temperature of the same calorimeter system, when 0.4 mole of
\( C H_{4} \) is burnt?
Given: \( \Delta_{C} U_{C_{2} H_{6}(g)}=-400 K c a l / m o l \)
and \( \Delta_{c} U_{C H_{4}(g)}=-200 K c a l / m o l \)
A . \( 2 K \)
в. 4 К
\( c \cdot 1 k \)
D. 3 K | 1 | Chemistry |
If an error of \( 1^{\circ} \) is made in measuring
the angle of a sector of radius \( 30 \mathrm{cm} \) then the approximate error in its area is
A \( \cdot 450 \mathrm{cm}^{2} \)
В \( \cdot 25 \pi c m^{2} \)
\( \mathbf{c} \cdot 2.5 \pi c m^{2} \)
D. none of these | 2 | Maths |
The acute angle \( \theta \) through which the coordinate axes should be rotated for
the point \( A(2,4) \) to attain the new
abscissa 4 is given by
A \( \cdot \tan \theta=\frac{3}{4} \)
В. \( \tan \theta=\frac{5}{6} \)
\( \mathbf{c} \cdot \tan \theta=\frac{7}{8} \)
D. None of these | 2 | Maths |
Cochlea lodges
A. Helicotrema
B. Meibomian gland
C. Organ of Corti
D. Fenestra rotundus | 0 | Biology |
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