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A particle of mass \( \mathrm{M} \) is situated at the
center of a spherical shell of same mass and radius a. The gravitational potential
at a point situated at \( \frac{a}{2} \) distance from
the centre, will be
\( \mathbf{A} \cdot-\frac{3 G M}{a} \)
B. \( -\frac{2 G M}{a} \)
\( \mathbf{c} \cdot-\frac{G M}{a} \)
\( \mathrm{D} \cdot-\frac{4 G M}{a} \)
| 3 |
Physics
|
An element L consists of molecules:
What type of bonding is present in the particles that make up L?
| 1 |
Chemistry
|
Find the Coefficient of Variation for
Factory \( \boldsymbol{B} \)
A \( .0 .15555 \% \)
B. \( 0.25714 \% \)
c. \( 0.36934 \% \)
D. \( 0.42548 \% \)
| 2 |
Maths
|
Let \( \boldsymbol{f}(\boldsymbol{x})=\log \left(\log _{\frac{1}{3}}\left(\log _{7}(\sin \boldsymbol{x}+\boldsymbol{a})\right)\right) \)
be defined for every real value of \( x, \) then
the possible value of \( a \) is This question has multiple correct options
\( A \cdot 7 \)
B. 8
\( c .9 \)
D. 6
| 2 |
Maths
|
Succession in a water body leads to formation of
A. Mesophytic vegetation
B. Xerophytic vegetation
c. Halophytic vegetation
D. Epiphytic vegetation
| 0 |
Biology
|
Point out the false statements.
A. Colloidal sols are homogenous
B. Colloids carry +ve or -ve charges
C . Colloids show Tyndall effect
D. The size range of colloidal particles is \( 10 \AA-1000 A \)
| 1 |
Chemistry
|
A particle doing S.H.M. having
amplitude \( 5 \mathrm{cm}, \) mass \( 5 \mathrm{kg} \) and angular
frequency 5 is 1 cm from mean position.
Find potential energy and kinetic
energy.
\( \mathbf{A} \cdot K \cdot E .=150 \times 10^{-4} J . P . E .=6.25 \times 10^{-4} J \)
B . \( K . E .=6.25 \times 10^{-4} J . P . E .=150 \times 10^{-3} J \)
C \( . K . E .=6.25 \times 10^{-4} J . P . E .=6.25 \times 10^{-4} J \)
D . \( K . E .=150 \times 10^{-3} \mathrm{J.P.E.}=150 \times 10^{-4} \mathrm{J} \)
| 3 |
Physics
|
Which of the following order is true about the force of attraction between
particles of states of matter?
A. Gas > Solid > Liquid
B. Solid > Liquid>Gas
c. Gas 'Liquid > Solid
D. Liquid > Gas> Solid
| 1 |
Chemistry
|
A long straight wire of radius R carries a
steady current \( I_{o}, \) uniformly distributed throughout the cross-section of the wire. The magnetic field at a radial distance r from the centre of the wire, in
the region \( r>R \), is?
A \( \cdot \frac{\mu_{o} I_{o}}{2 \pi r} \)
В \( \cdot \frac{\mu_{o} I_{o}}{2 \pi R} \)
\( ^{\mathbf{C}} \cdot \frac{\mu_{o} I_{o} R^{2}}{2 \pi r} \)
D. \( \frac{\mu_{o} I_{o} r^{2}}{2 \pi R} \)
E \( \cdot \frac{\mu_{o} I_{o} r^{2}}{2 \pi R^{2}} \)
| 3 |
Physics
|
Pyrolusite is \( M n O_{2} \stackrel{I}{\rightarrow} M n O_{4}^{2-} \stackrel{I I}{\rightarrow} \)
\( M n O_{4} \)
Steps I and II are respectively:
This question has multiple correct options
A. fuse with KOH / air and electrolytic oxidation.
B. fuse with \( K O H / K N O_{3} \) and electrolytic oxidation.
c. fuse with conc. \( H N O_{3} / a i r \) and electrolytic reduction.
D. dissolve in \( H_{2} O \) and oxidation
| 1 |
Chemistry
|
a. Write any two differences between
lyophilic and lyophobic colloids.
b. What is heterogeneous catalysis?
Give an example.
c. Give an expression for Freundlich adsorption isotherm.
| 1 |
Chemistry
|
A ray of light is incident on a glass slab
making an angle of \( 60^{0} \) with the surface. Calculate the angle of
refraction in glass and the velocity of light in glass if the refractive index of glass and the velocity of light in air are 1.5 and \( 3.0 \times 10^{8} \mathrm{m} / \mathrm{s} \) respectively.
A \( \cdot 28^{\circ} 30^{\prime}, 3 \times 10^{8} \mathrm{ms}^{-1} \)
B . \( 40^{\circ} 20^{\prime}, 2.5 \times 10^{8} \mathrm{ms}^{-1} \)
C. \( 35^{\circ} 15^{\prime}, 2 \times 10^{8} \mathrm{ms}^{-1} \)
D. \( 28^{\circ} 30^{\prime}, 2.5 \times 10^{8} \mathrm{ms}^{-1} \)
| 3 |
Physics
|
In one second, a current of 10 A changes through a coil. The induced emf is \( 10 v \) then, self-inductance of the coil is
A . २
B. 5H
c. \( 1 \mathrm{H} \)
D. 0.5H
| 3 |
Physics
|
Which one of the following oxides in
neutral?
A. \( \operatorname{si} O_{7} \)
в. \( \operatorname{Sn} \mathrm{O}_{2} \)
\( c \cdot Z n O \)
D. \( C O \)
| 1 |
Chemistry
|
Which of these reactions are redox
reactions?
\( 16 N O(g)+4 N H_{3}(g) \rightarrow 5 N_{2}(g)+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
\( 22 S O_{2}(g)+O_{2}(g) \rightarrow 2 S O_{3}(g) \)
3. \( \boldsymbol{S O}_{3}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightarrow \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}(\boldsymbol{g}) \)
A .1,2 and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct
| 1 |
Chemistry
|
The reason for greater range of oxidation states in actinoids is
attributed to:
A. \( 4 f \) and \( 5 d \) levels being close in energies.
B. the radioactive nature of actinoids
c. actinoid contraction.
D. \( 5 f, 6 d \) and \( 7 s \) levels having comparable energies
| 1 |
Chemistry
|
Covalent compounds can be dissolved
in:
A. Benzene
B. Ether
c. Alcohol
D. All of these
| 1 |
Chemistry
|
Define non-metallic character.
\( A . \) An atom is said to be a non-metal if it loses one or
more electrons when supplied with energy
B. An atom is said to be a non-metal if it loses only one electron when supplied with energy
C. An atom is said to be a non-metal if it gains one or more electrons when supplied with energy
D. An atom is said to be a non-metal if it gains only one electron when supplied with energy
| 1 |
Chemistry
|
What is the maximum number of
covalent bonds than an atom of carbon
can form?
A . 1
B. 2
\( c .3 \)
D. 4
| 1 |
Chemistry
|
Identify which number cannot be a probability? This question has multiple correct options
A . \( 0 . \)
B . -0.45
c. 1
D. 1.
| 2 |
Maths
|
Ampere's circuital law is given by:
A \( \cdot \oint \bar{H} \cdot \overline{d l}=\mu_{0} I_{e n c} \)
B . \( \oint \bar{B} . \overline{d l}=\mu_{0} I_{e n c} \)
\( \mathbf{c} \cdot \oint \bar{B} \cdot \bar{d} l=\mu_{0} I \)
D . \( \oint \bar{H} . \overline{d l}=\mu_{0} I \)
| 3 |
Physics
|
A sound wave of wavelength \( 32 \mathrm{cm} \) enters the tube as shown in the figure.
Then the smallest radius \( r \) so that a
maximum of sound is heard at
detector is :
\( A \cdot 7 \mathrm{cm} \)
в. 14 ст
\( c \cdot 21 c m \)
D. 28 ст
| 3 |
Physics
|
What is the reaction occuring at the
anode in Down's process for the extraction of sodium?
A \( \cdot 4 O H^{-} \rightarrow 2 H_{2} O+O_{2}+4 e^{-} \)
B. \( N a^{+}+l e^{-} \rightarrow N a \)
\( \mathbf{c} \cdot 2 C l^{-} \rightarrow C l_{2}+2 e^{-} \)
D. \( N a O H \rightarrow N a^{+}+O H^{-} \)
| 1 |
Chemistry
|
\( \int_{0}^{\pi / 2} \cos x d x \)
| 2 |
Maths
|
Before using the tangent galvanometer its coil is set in:
A. Magnetic meridian
B. Perpendicular to magnetic meridian
c. It does not require any setting
D. It does not required any setting
| 3 |
Physics
|
State True or False.
\( f(a, b, c, d \) are four positive real
numbers such that \( a b c d=1 \), then \( (1+a)(1+b)(1+c)(1+d) \geq 16 \)
A. True
B. False
| 2 |
Maths
|
What is the main principle of sulphuric
acid production by lead chamber
process?
A. Moist \( S \) in presence of nitrogenous oxides (active catalyst) is oxidized to sulphur trioxide which is oxidised to sulphuric acid
B. Moist \( S O_{2} \) in presence of nitrogenous oxides is oxidized to sulphur monoxide which reacts water to produce sulphuric acid
C. Moist \( S \) in presence of nitrogenous oxides is oxidized to sulphur trioxide which reacts water to produce sulphuric acid
D. Moist \( S O_{2} \) in presence of nitrogenous oxides is oxidized to sulphur trioxide which reacts water to produce sulphuric acid
| 1 |
Chemistry
|
In Krebs cycle, second decarboxylation
occurs during
A. Pyruvate Acetyl CoA
B. - -Ketoglutarate Succinyl CoA
c. oxalosuccinic acid-Ketoglutarate
D. Malic acid Fumaric acid
| 0 |
Biology
|
\( y \)
\( y \)
\( y \)
\( y \)
\( y \)
| 1 |
Chemistry
|
The equation of the circle and its chord are respectively \( x^{2}+y^{2}=a^{2} \) are
\( x \cos \alpha+y \sin \alpha=p . \) The equation of
the circle of which this chord
is diameter is
A \( \cdot x^{2}+y^{2}-2 p x \cos \alpha-2 p y \sin \alpha+2 p^{2}-a^{2}=0 \)
B . \( x^{2}+y^{2}-2 p x \cos \alpha-2 p y \sin \alpha+p^{2}-a^{2}=0 \)
C \( \cdot x^{2}+y^{2}-2 p x \cos \alpha+2 p y \sin \alpha+2 p^{2}-a^{2}=0 \)
D. None of these
| 2 |
Maths
|
In which direction does current flow in
an electric circuit ? Also, write the SI unit of electric current.
| 3 |
Physics
|
Which of the following are true about the brain?
(a) The main thinking part of brain is hindbrain.
(b) Centres of hearing, smell, memory, sight etc., are located in forebrain.
(c) Involuntary actions like salivation, vomiting, blood pressure are controlled
by the medulla in the hindbrain.
(d) Cerebellum does not control posture
and balance of the body.
A. (a) and (b)
B. (a), (b) and (c)
\( c \cdot(b) \) and \( (c) \)
D. (c) and (d)
| 0 |
Biology
|
A needle of length \( 5 \mathrm{cm}, \) placed \( 45 \mathrm{cm} \) from a lens form an image on a screen placed \( 90 \mathrm{cm} \) on the other side of the
lens. The type of lens and its focal length
are :
A. convex, 30 cm
B. concave, 30 cm
c. convex, \( 60 \mathrm{cm} \)
D. concave, 60 cm
| 3 |
Physics
|
On mixing \( 10 \mathrm{mL} \) of acetone with \( 40 \mathrm{mL} \) of chloroform, the total volume of the solution is:
\( A \cdot<50 m L \)
B. > 50 \( m \) L
\( c_{c}=50 \mathrm{mL} \)
D. Can not be predicted
| 1 |
Chemistry
|
The hypothalamus regulates:
A. heart rate
B. glandular secretions
c. body temperature
D. all of the above
| 1 |
Chemistry
|
STRUCTURED/APPLICATION/SKILL TYPE
The volume of air in the lungs and the rate at which it is exchanged
during inspiration and expiration was measured.
The following diagram shows a group of lung volumes and capacities. Study the diagram carefully and explain briefly the following:
nspiratory reserve volume
| 0 |
Biology
|
The decreasing order of diffusion is
A. Gas > Solid > liquid
B. Liquid > Gas > Solid
c. solid > Liquid > Gas
D. Gas > Liquid > Solid
| 1 |
Chemistry
|
Find the middle term(s) of \( \left(\frac{x^{3 / 2} y}{2}+\right. \)
\( \left.\frac{2}{x y^{3 / 2}}\right)^{13} \)
| 2 |
Maths
|
A conductor A is given a charge of amount \( +Q \) and then placed inside a
deep metal can B, without touching it.
Then:
This question has multiple correct options
A. The potential of A does not change when it is place inside B.
B. If \( B \) is earthed, \( +Q \) amount charge flows from it into the earth.
C. If \( B \) is earthed, the potential of \( A \) is reduced
D. Either (B) or (C) is true or both the true only if the outer surface of B is connected to earth and not its inner surface
| 3 |
Physics
|
A non-zero current passes through the galvanometer F shown in the circuit
when the key 'K' is closed and its value
does not change when the key is opened. Then which of the following statement(s) is/are true?
This question has multiple correct options
A. The galvanometer resistance is infinite
B. The current through the galvanometer is \( 40 \mathrm{mA} \)
c. After the key is closed, the current through \( 200 \Omega \) resistor is same as the current through the \( 300 \Omega \) resistor
D. The galvanometer resistance is \( 150 \Omega \)
| 3 |
Physics
|
One of the rectangular components of a force of \( 50 \mathrm{N} \) is \( 30 \mathrm{N} \). The other
rectangular component will be :
A. \( 40 \mathrm{N} \)
B. 30 N
\( c . \) 35 \( \mathrm{N} \)
D. 45 N
| 3 |
Physics
|
Acid strength of oxoacids of halogen is
in order:
\( \mathbf{A} \cdot H O F>H O C l>H O B r>H O I \)
B . \( H O I<H O B r<H O C l<H O F \)
\( \mathbf{c} \cdot H O I>H O C l>H O B r>H O F \)
D. \( H O C l>H O B r>H O I>H O F \)
| 1 |
Chemistry
|
The important water pollutants are:
A) Inorganic compounds
B) Organic compounds C) Fluorides
\( A \cdot A \& B \)
B. B \& \( c \)
\( c \cdot A \& C \)
D. \( A, B \& C \)
| 0 |
Biology
|
Elements which occupied the position in the Lother Meyer curve, on the peaks,
were:
A. alkali metals
B. highly electropositive elements
c. elements having large atomic volume
D. all of the above
| 1 |
Chemistry
|
A compound of general formula
\( C_{n} H_{2 n} O_{2} \) could be :
A . an acid
B. a diketone
C. an ether
D. an aldehyde
| 1 |
Chemistry
|
\( \mathbf{3 . 6}+\mathbf{6 . 9}+\mathbf{9 . 1 2}+\ldots+\mathbf{3 n}(\mathbf{3 n}+\mathbf{3})= \)
A \( \frac{n(n+1)(n+2)}{3} \)
B. \( 3 n(n+1)(n+2) \)
c. \( \frac{(n+1)(n+2)(n+3)}{3} \)
\( \frac{(n+1)(n+2)(n+4)}{4} \)
| 2 |
Maths
|
How many numbers of five digits can be
formed from the numbers 2,0,4,3,8
when repetition of digits is not allowed?
| 2 |
Maths
|
If the d.rs of two lines are 1,-2,3 and \( 2,0,1, \) then the d.rs of the line
perpendicular to both the given lines is
A. -2,5,4
в. 2,-5,4
c. 2,5,-4
D. 1,5,-4
| 2 |
Maths
|
Mass of one atom of an element is
\( 2.66 \times 10^{-23} g . \) This mass is equal to :
A. 16 amu
В . \( 2.39 \times 10^{-9} \mathrm{J} \)
c. Both are correct
D. None of these
| 1 |
Chemistry
|
24 cells, each having the same e.m.f. and 2 ohm internal resistance, are used to draw maximum current through an
external resistance of 3 ohm. The cells
should be connected:
\( \mathbf{A} \cdot \) In series
B. in parallel
c. \( \ln 4 \) rows, each row having 6 cells
D. In 6 rows, each row having 4 cells
| 3 |
Physics
|
As you move from top to bottom on the periodic table, what generally happens to the atomic radius?
A. It decreases
B. It decreases, then increases
c. It remains constant
D. It increases, then decreases
E. It increases
| 1 |
Chemistry
|
Heavy water \( \left(D_{2} O\right) \) is used in Atomic
Reactors as -
A. Coolant
B. Controller
c. shield
D. Moderator
| 1 |
Chemistry
|
L shell has how many subshell?
\( A \cdot 1 \)
B. 2
\( c \cdot 3 \)
D. 4
| 1 |
Chemistry
|
Solve the equation:-
\( (3 x+2 y)^{2}+(3 x-2 y)^{2} \)
| 2 |
Maths
|
Three numbers are chosen at random
without replacement from \( 1,2, \ldots .10 . \) The probability that the minimum of the
chosen numbers is 3 , or their maximum
is \( 7, \) is
A \( \cdot \frac{7}{40} \)
B. \( \frac{5}{40} \)
c. \( \frac{11}{40} \)
D. None of these
| 2 |
Maths
|
Number of moles of \( K_{2} C r_{2} O_{7} \) require
to reduce one mole of \( S n^{2+} \) ions is
\( A \cdot 1 / 3 \)
B. 3
\( c \cdot 1 / 6 \)
D. 6
| 1 |
Chemistry
|
Read the following statements and answer as true or false. Unsaturated hydrocarbons give
addition reactions.
If true enter 1 , else enter 0
| 1 |
Chemistry
|
Which of the following acids doesnot
exist in the free form?
A. \( H_{2} S O_{2} \)
в. \( H_{2} S_{2} O_{3} \)
c. \( \mathrm{H}_{2} \mathrm{SO}_{3} \)
D. \( H_{2} S O_{4} \)
| 1 |
Chemistry
|
If these numbers form positive odd integer \( 6 q+1, \) or \( 6 q+3 \) or \( 6 q+5 \) for some \( q \) then \( q \) belongs to:
This question has multiple correct options
A. integers
B. rational
c. real
D. none of these
| 2 |
Maths
|
Find \( |\vec{x}|, \) if for a unit vector \( \vec{a},(\vec{x}-\vec{a}) \)
\( (\vec{x}+\vec{a})=12 \)
Answer required
| 2 |
Maths
|
A man and a child are holding a uniform rod of length \( L \) in the horizontal direction in such a way that one fourth weight is supported by the child. If the child is at one end of the rod then the
distance of man from another end will
be:
A \( \cdot \frac{3 L}{4} \)
в. \( \frac{L}{4} \)
c. \( \frac{L}{3} \)
D. \( \frac{2 L}{3} \)
| 3 |
Physics
|
Why is electronegativity directly
proportional to \( s \) character?
| 1 |
Chemistry
|
Floral formula of Solanaceae is
A. \( \mathrm{Br} \oplus \bigoplus_{\mathrm{C}(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
B.
\( \oplus \bigoplus_{(5)} \mathrm{C}_{(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
\( \mathrm{Br} \)
c.
\( \oplus \bigoplus_{(5)} \widehat{C}_{(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
\( \mathrm{Br} \)
\( \mathrm{Br} \oplus \bigoplus_{\mathrm{K}_{5} \mathrm{C}_{(5)}} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
| 0 |
Biology
|
When chlorine water is exposed to
sunlight \( O_{2} \) is liberated. Hence:
A. hydrogen has little affinity to \( O_{2} \)
B. hydrogen has more affinity to \( O_{2} \)
C. hydrogen has more affinity to \( C l_{2} \)
D. it is a reducing agent
| 1 |
Chemistry
|
Which of these devices uses a magnet or electromagnet to make it work?
A. An electric bell
B. A compact disc
c. A microchip
D. All of these
| 3 |
Physics
|
Molarity of \( 4 \% \) (w/v) solution of \( N a O H \)
is:
A . \( 0 . \)
B. 0.5
c. 0.001
D. 1.0
| 1 |
Chemistry
|
35 workers can build a house in 16
days. How many days will 28 workers working at the same rate take to build
the same house?
A. 16 days
в. 28 days
c. 20 days
D. 10 days
| 2 |
Maths
|
Soaps and detergent industries uses:
A . lower fatty acids
B. higher fatty acids
c. esters
D. alcohols
| 1 |
Chemistry
|
Choose the correct answer from the
alternatives given In the systemic circuit, the \( _{--} \) hearts half pumps \( _{--} \) blood to all body regions:
A. right; oxygen-poor
B. right; oxygen-rich
c. left; oxygen-poor
D. Ieft; oxygen-rich
| 0 |
Biology
|
If \( I_{n}=\int_{0}^{\infty} e^{-x} x^{n-1} d x, \) then
\( \int_{0}^{\infty} e^{-\lambda x} x^{n-1} d x \) is equal to?
A \( . \lambda I_{n} \)
B. \( \frac{1}{\lambda} I \)
c. \( \frac{I_{\mathrm{n}}}{\lambda^{\mathrm{n}}} \)
D. \( \lambda^{n} I_{n} \)
| 2 |
Maths
|
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{3} & \mathbf{5} \\ \mathbf{7} & \mathbf{- 9}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{6} & \mathbf{- 4} \\ \mathbf{2} & \mathbf{3}\end{array}\right], \) find
\( (4 A-3 B) \)
| 2 |
Maths
|
An iron ball and a wooden ball of the
same radius are released from a height \( \mathrm{H} \) in vacuum. The times taken by both of them to reach the ground are
A . roughly equal
B. unequal
c. exactly equal
D. in the inverse ratio of their diameters
| 3 |
Physics
|
The sets \( A=\{\text { letters of the world 'FLOW' }\} \) and \( \mathrm{B}=\{\text { letters of the word 'FOLLOW' }\} \)
are :
A. Equivalent sets
B. Equal sets
c. singleton sets
D. Null sets
| 2 |
Maths
|
The length of a plant axis increases by
A. Apical meristem
B. Lateral meristem
c. Dermatogen
D. Pleurome
| 0 |
Biology
|
The amplitude and modulus of the complex number \( -2+2 \sqrt{3} i . \) is 4 and \( \underline{\boldsymbol{\pi}} \)
\( \overline{\mathbf{3}} \)
A. True
B. False
| 2 |
Maths
|
Divide 4500 into two parts such that \( 5 \% \) of the first part is equal to \( 10 \% \) of the second part.
A . 300
B. 250
c. 3000
D. 2500
| 2 |
Maths
|
Which of the following reaction
equation is wrongly labeled?
\( \mathbf{A} \cdot F e+C r^{3+} \rightarrow F e^{3+}+C r(r e d o x) \)
B \( \cdot K B r+H_{2} O \rightarrow H B r+K O H \) (hydrolysis)
\( \mathbf{c} \cdot C H_{4}+2 O_{2} \rightarrow C O_{2}+2 H_{2} O \) (combustion)
D. \( C H_{4}+C l_{2} \rightarrow C H_{3} C l+H C l \) (addition)
E \( \cdot C O_{2}+H_{2} O \rightarrow H_{2} C O_{3} \) (synthesis)
| 1 |
Chemistry
|
Compounds such as alcohols and glucose contain hydrogen but are not categorized as acids. Why?
| 1 |
Chemistry
|
Whenever there is a change in the
magnetic flux linked with a closed
circuit, an emf and a current are
induced in the circuit. This statement is
referred to as:
A. Lenz's law
B. Faraday's second law of electromagnetic induction
C. Faraday's first law of electromagnetic induction
D. Laplace's law
| 3 |
Physics
|
A bus is moving with a speed of \( 10 \mathrm{ms}^{-1} \)
on a straight road. A scooterist wishes
to overtake the bus in 100 s. If the bus is
at a distance of \( 1 \mathrm{km} \) from the scooterist, with what speed should the scooterist chase the bus?
A. \( 40 \mathrm{ms}^{-1} \)
B. 25 \( m s^{-1} \)
\( \mathrm{c} \cdot 10 \mathrm{ms}^{-1} \)
D. \( 20 \mathrm{ms}^{-1} \)
| 3 |
Physics
|
Draw a neat diagram of an A.C.
generator.
| 3 |
Physics
|
One gas bleaches the colour of the
flowers by reduction, while the other by oxidation
A. \( N H_{3} \) and \( S O_{3} \)
B. CO and Cu
\( \mathrm{c} \cdot \mathrm{SO}_{2} \) and \( \mathrm{Cl}_{2} \)
D. \( H_{2} S \) and \( M n C l_{2} \)
| 1 |
Chemistry
|
Assertion
Cytokinin treatment results in the
increase in the RNA content.
Reason
Cytokinin inhibits protein degradation.
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
| 0 |
Biology
|
In figure, potential at A is :-
4.22
\( B,-3 V \)
\( c-1.5 v \)
\( 0 .-2.51 \)
| 3 |
Physics
|
In SHM, select the wrong statement, where \( F \) is the force, \( a \) is the
acceleration and \( v \) is the velocity of the
particle in SHM.
A \( \cdot \vec{F} \times \vec{v} \) is a null vector
В . \( |\vec{F} \times \vec{a}|=0 \) (always)
c. \( \vec{F} \times \vec{a}<0 \)
D. \( \vec{a} \cdot \vec{x}<0 \)
| 3 |
Physics
|
\( \operatorname{lf} \Delta=\left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3}\end{array}\right| \) and \( A_{2}, B_{2}, C_{2} \) are
respectively cofactors of \( a_{2}, b_{2}, c_{2} \) then
\( a_{1} A_{2}+b_{1} B_{2}+c_{1} C_{2} \) is equal to
\( A \cdot-\Delta \)
B.
\( c \cdot \Delta \)
D. none of these
| 2 |
Maths
|
If three points \( (h, 0),(a, b) \) and \( (0, k) \) lie on a line, show that \( \frac{a}{h}+\frac{b}{k}=1 \)
| 2 |
Maths
|
The pressure at point \( C \) is given by
A \( \cdot \frac{3 P_{0}}{2^{0.4}} \)
в. \( \frac{3 P_{0}}{2^{1.4}} \)
c. \( 3 P_{0} \times 2^{0.4} \)
D. \( 3 P_{0} \times 2^{1.4} \)
| 3 |
Physics
|
\( \ln \) a \( L C \) circuit. Angular frequency at resonance is \( \boldsymbol{w} \). What will be the new
angular frequency when inductor's
introduces is made 2 times and
capacitance is made 4 times?
A \( \cdot \frac{w}{\sqrt{2}} \)
в. \( \frac{w}{2 \sqrt{2}} \)
c. \( 2 w \)
D. \( \frac{2 w}{\sqrt{2}} \)
| 3 |
Physics
|
The space between the plates of a parallel plate capacitor is filled with a dielectric' whose 'dielectric constant'
varies with distance as per the relation,
\( \boldsymbol{K}(\boldsymbol{x})=\boldsymbol{K}_{o}+\boldsymbol{\lambda} \boldsymbol{x}(\boldsymbol{\lambda}=\boldsymbol{a} \text { constant }) \) The
capacitance \( C, \) of this capacitor, would be related to its 'vacuum' capacitance
\( C_{o} \) as per the relation:
\( ^{\mathbf{A}} \cdot c=\frac{\lambda d}{\ln \left(1+k_{o} \lambda d\right)} C_{o} \)
B. \( c=\frac{\lambda}{d \cdot \ln \left(1+k_{o} \lambda d\right)} C_{o} \)
\( ^{\mathrm{c}} \cdot_{C}=\frac{\lambda d}{\ln \left(1+\lambda d / K_{o}\right)} C_{o} \)
D. \( c=\frac{\lambda}{d \cdot \ln \left(1+k_{o} / \lambda d\right)} C_{o} \)
| 3 |
Physics
|
Assertion
A sphere, a cube and thin circular plate
of the same mass are made of the same
material. If all of them are heated to the
same high temperature the rate of
cooling is maximum for the plate and minimum for the sphere.
Reason
The rate of loss of heat by radiation is proportional to the surface area.
A. Assertion is False and Reason is True
B. Reason is False and assertion is True
c. Both Assertion and Reason are True and reason correctly explains assertion
D. Both Assertion and Reason are True but assertion does not correctly explain reason
| 3 |
Physics
|
Q Type your question-
less than \( \mathbf{U}^{\mathbf{v}} \) ( . If the tnickness or the lce
layer formed on the surface grows from
\( 2 c m \) to \( 4 c m \) in 1 hour, the atmosphere temperature will be (Thermal
conductivity of ice, \( \boldsymbol{K}=\mathbf{4} \times \)
\( 10^{-3} \) cal \( c m^{-1} s^{-1 o} C^{-1}, \) density of ice
\( =0.9 g c c^{-1} . \) Latent heat of fusion of ice
\( =80 \mathrm{cal} g^{-1} \) Neglect the change of
density during the state change. Assume that the water below the ice
has \( 0^{\circ} \mathrm{C} \) temperature every where.)
Formed ice
\( --- \)
A. \( -20^{\circ} \mathrm{C} \)
B. \( 0^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot-30^{\circ} C \)
D. \( -15^{\circ} \mathrm{C} \)
| 3 |
Physics
|
A circular loop of wire is in the same
place as an infinitely long wire carrying a constant current i. Four possible motion of the loop are marked by \( \mathrm{N}, \mathrm{E}, \mathrm{W} \)
and \( \mathrm{S} \) as shown.
A clockwise current is induced in the
loop when loop is pulled towards
\( A \)
B.
\( c \cdot w \)
\( D \)
| 3 |
Physics
|
The value of self inductance of a coil is
\( 5 H . \) The value of current changes from
\( 1 A \) to \( 2 A \) in 5 sec., then value of
magnitude of induced emf in it :-
A . \( 10 V \)
в. \( 0.1 V \)
\( c .1 .0 V \)
D. \( 100 V \)
| 3 |
Physics
|
The hot water pipes used to heat up the room are painted
A. white
B. yellow
\( c \cdot \) red
D. black
| 3 |
Physics
|
(Lambda, Hertz) is
the unit of frequency, and just means how many cycles per second. It is abbreviated as \( \mathrm{Hz} \)
| 3 |
Physics
|
Which of the following is not a valid reason for using cotton clothes in
Summer?
A. cotton clothes attract cool air
B. cotton clothes absorb sweat from the body
c. cotton exposes the sweat to atmosphere for evaporation
D. cotton is light in weight
| 3 |
Physics
|
Four positive charges \( (2 \sqrt{2}-1) Q \) are
arranged at the four corner of a square. Another charge q is placed at the centre of the square. Resulting force acting on each corner charge is zero if q is :
A \( \cdot \frac{-7 Q}{4} \)
в. \( \frac{-4 Q}{7} \)
\( c \cdot-Q \)
D. \( -(\sqrt{2}+1) Q \)
| 3 |
Physics
|
Which of the following molecules is common to respiration mediated breakdown of major biomolecules?
A. AcetylCOA
B. Glucose 6-phosphate
c. Fructose 1, 6 - biphosphate
D. Pyruvic acid
| 0 |
Biology
|
Which of the following pairs of compounds is isoelectronic and isostructural?
A. \( I F_{3}, X e F_{2} \)
в. \( B e C l_{2}, X e F_{2} \)
\( \mathbf{c} \cdot \operatorname{TeI}_{2}, X e F_{2} \)
D. \( I B r_{2}^{-}, X e F_{2} \)
| 1 |
Chemistry
|
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