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Diameter of the largest sphere which can be carved out from a cube of side \( x \)
\( \mathrm{cm} \) is equal to This question has multiple correct options
A. one third of sum of all edges
B. One twelfth of sum of all edges
c. one half of sum of length of diagonals
D. \( \frac{1}{\sqrt{3}} \) times of length of any diagonal
| 2 |
Maths
|
A conductor behave as a super
conductor
A. Above critical temperature
B. At critical temperature
c. \( \operatorname{At} 100^{\circ} C \)
D. At boiling point of that metal
| 3 |
Physics
|
The curve amongst the family of curves, represented by the differential
equation, \( \left(x^{2}-y^{2}\right) d x+2 x y d y=0 \)
which passes through (1,1) is :
A. A circle with centre on the y-axis
B. A circle with centre on the x-axis
c. An ellipse with major axis along the y-axis
D. A hyperbola with transverse axis along the x-axis
| 2 |
Maths
|
The distance of the sun form the earth
is \( 1.5 \times 10^{11} \) and its diameter is \( 1.40 \times \)
\( 10^{9} m . \) The diameter of the image of the
sun formed by a lens of focal length \( 1 \boldsymbol{m} \)
is nearly:
A \( \cdot 1 \times 10^{-4} m \)
в. \( 1 \times 10^{-3} \mathrm{m} \)
c. \( 1 \times 10^{-2} m \)
D. \( 100 m \)
| 3 |
Physics
|
Days and nights are caused by
A. rotation of the Earth
B. revolution of the Earth
C. both rotation and revolution of the Earth
D. neither rotation nor revolution of the Earth
| 3 |
Physics
|
Two long conductors, separated by a
distance \( d \) carry currents \( I_{1} \) and \( I_{2} \) in
the same direction. They exert a force \( \boldsymbol{F} \)
on each other. Now the current in one of
them is increased to two times and
its direction is reversed. The distance is
also increased to \( 3 d \). The new value of
the force between them is:
\( \mathbf{A} \cdot-2 F \)
В. \( \frac{F}{3} \)
c. \( \frac{-2 F}{3} \)
D. \( \frac{-F}{3} \)
| 3 |
Physics
|
A particle is dropped from the top of the tower. During its motion it covers \( 9 / 25 \)
th part of the tower in the last one sec.
Find the height of the tower.
| 3 |
Physics
|
An excess of \( A g N O_{3} \) is added to
\( 100 m L \) of a \( 0.01 M \) solution of
dichlorotetraaquachromium (III) chloride. The number of moles of \( A g C l \) precipitated would be:
A. 0.001
B. 0.002
c. 0.003
D. 0.01
| 1 |
Chemistry
|
Match the columns
A. A-2, B-5, C-4, D-3, E-1
B. \( A-1, B-2, C-3, D-4, E-5 \)
c. \( A-3, B-4, C-5 \) \( D-1 \) \( E-2 \)
D. \( A-4, B-5, C-2, D-1 \)
1.E
| 0 |
Biology
|
Given that force \( F \) is given by, \( \boldsymbol{F}= \)
\( \boldsymbol{P t}^{-1}+\boldsymbol{Q} \boldsymbol{t}, \) where \( t \) is the time. The unit
of \( P \) is same as that of
A. velocity
B. acceleration
c. displacement
D. momentum
| 3 |
Physics
|
Assertion
Glycerol is purified by distillation under
reduced pressure.
Reason
Method of distillation under reduced
pressure is used to purify liquids having very high boiling points and those, which decompose at or below their boiling point.
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
|
Referring the figure given below, for \( \Delta P Q R \) and \( \Delta X Y Z, P Q=Y Z, Q R= \)
\( \boldsymbol{X} \boldsymbol{Z} \) and \( \angle \boldsymbol{Q}=\angle \boldsymbol{Z} . \) The value of \( \angle \boldsymbol{P} \) is
A \( \cdot 42^{\circ} \)
B . \( 75^{\circ} \)
\( c \cdot 63^{\circ} \)
D. cannot be determine
| 2 |
Maths
|
product (c)is.
\( A \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
Use dimensional analysis to convertt 4.30 days to seconds. (Hint: Don't forget about the significant figures)
A. 258 seconds
B. 929,000 seconds
c. 15,500 seconds
D. 372,000 seconds
E. 6,190 seconds
| 1 |
Chemistry
|
Why is it essential to wash the
precipitate with water before estimating it quantitatively?
| 1 |
Chemistry
|
Which of the following phenomena does not come under macroscopic domain?
A. Phenomena at laboratory scales
B. Phenomena at terrestrial scales
c. Molecular and nuclear phenomena
D. Phenomena at astronomical scales
| 3 |
Physics
|
Pashmina a type of wool is obtained
from:
A . camel
B. goat
c. sheep
D. artificially
| 1 |
Chemistry
|
The focal length of a thin biconvex lens
is \( 20 \mathrm{cm} \). When an object is moved from
a distance of \( 25 \mathrm{cm} \) in front of it to \( \mathbf{5 0} \mathrm{cm}, \) the magnification of its image
changes from \( \boldsymbol{m}_{25} \) to \( \boldsymbol{m}_{60} . \) The ratio
\( \boldsymbol{m}_{25} / \boldsymbol{m}_{50} \) is
| 3 |
Physics
|
Through a solution of \( C u S O_{4}, \) a current
of 3 amperes was passed for 2 hours. At cathode, \( 3 g \) of \( C u^{2+} \) ions were discharged. The current efficiency is :
[At. wt. of \( \boldsymbol{C u}=\mathbf{6 3 . 5} \) ]
A . \( 33.3 \% \)
B . \( 42.2 \% \) \%
c. \( 48.7 \% \)
D . 54.4 \%
| 1 |
Chemistry
|
\( \mathrm{ff} \mathbf{A}=\left[\begin{array}{lll}1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{ccc}1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \quad \) and
\( A B=I_{3}, \quad \) then \( \quad x+ \)
\( \boldsymbol{y} \quad \boldsymbol{i s} \quad \boldsymbol{e q u a l} \quad \boldsymbol{t o} \)
| 2 |
Maths
|
Two numbers are such that their sum
multiplied by the sum of their squares is 5500 and their difference multiplied
by the difference of the squares is 352 Then the numbers are?
A. Prime numbers only
B. Odd positive integers
c. Prime but not odd
D. odd but not prime
| 2 |
Maths
|
The minors and cofactors of -4 and 9 in
determinant \( \left|\begin{array}{ccc}-1 & -2 & 3 \\ -4 & -5 & -6 \\ -7 & 8 & 9\end{array}\right| \) are
respectively
A. 42,\( 42 ; 3,3 \)
В. -42,\( 42 ;-3,-3 \)
c. 42,\( -42 ; 3,-3 \)
D. 42,3: 42,3
| 2 |
Maths
|
f \( z=a+i b \) is a complex number such
that \( z=(a+i b)^{2} \) then
show that \( x^{2}+y^{2}=\left(a^{2}+b^{2}\right)^{2} \)
| 2 |
Maths
|
The pairs \( \bar{a}, \bar{b} \) and \( \bar{c}, \bar{d} \) each determine a plane. Then the planes are parallel if \( (\overline{\boldsymbol{a}} \times \overline{\boldsymbol{c}}) \times(\overline{\boldsymbol{b}} \times \overline{\boldsymbol{d}})= \)
\( \mathbf{0} 2)(\overline{\boldsymbol{a}} \times \overline{\boldsymbol{c}}) \cdot(\overline{\boldsymbol{b}} \times \overline{\boldsymbol{d}})=\mathbf{0} \)
\( (\bar{a} \times \bar{b}) \times(\bar{c} \times \bar{d})= \)
\( \mathbf{0} 4)(\bar{a} \times \bar{b}) \cdot(\bar{c} \times \bar{d})=0 \)
| 2 |
Maths
|
No net force acts on a rectangular coil
carrying a steady current when suspended freely in a uniform magnetic field.
A. True
B. False
| 3 |
Physics
|
Work function is the energy required
A. To excite an atom
B. To produce X-rays
C. To eject an electron just out of the surface
D. To explode the atom
| 3 |
Physics
|
A solid weights \( 500 \mathrm{N} \). Calculate the pressure extended by solid on surface if the area of contact is \( 100 \mathrm{cm} \) square.
| 3 |
Physics
|
2-Pentanol can be converted to 2-ethoxy
pentane by two paths. In path I, \( \boldsymbol{H}^{\oplus} \) is abstracted from 2-pentanol to form the
nucleophile while in path II, \( \boldsymbol{H}^{\oplus} \) is abstracted from ethanol. What is true
about the configuration at chiral \( C \) of 2
pentanol?
A. Retained in both paths
B. Retained in path I and Inverted in path I
c. Inverted in path I and Retained in path।
D. Inverted in both paths
| 1 |
Chemistry
|
A wire extends by 'I' on the application of load 'mg'. Then, the energy stored in it is :
A \( . m g l \)
в. \( \frac{m g l}{2} \)
\( c \cdot \frac{m g}{l} \)
D \( \cdot m g l^{2} \)
| 3 |
Physics
|
Given are three positive integers \( a, b \)
and \( c . \) Their greatest common divisor is
\( D ; \) their least common multiple is \( M \) Then, which two of the following statements are true?
(1) The product \( M D \) cannot be less
than abc
(2) The product \( M D \) cannot be greater
than abc
(3) \( M D \) equals \( a b c \) if and only if \( a, b, c \) are each prime
(4) \( M D \) equals \( a b c \) if and only if \( a, b, c \) are relatively prime in pairs (This means: no two have a common
factor greater than \( 1 . \)
\( \mathbf{A} \cdot 1,2 \)
в. 1,3
c. 1,4
D. 2,3
E .2,4
| 2 |
Maths
|
ff \( f(x+y)=f(x y) \) for all \( x, y, \in R, \) and
\( \boldsymbol{f}(\mathbf{2 0 0 3})=\mathbf{2 0 0 3}, \) then \( \boldsymbol{f}(\mathbf{2 0 0 0}) \) equals
A . 2003
B.
c. -2003
D. none of these
| 2 |
Maths
|
Synthetic soaps are superior to ordinary
Soaps because:
A. they are cheap
B. they need not boiling water to wash
C. they can be used even in hard water
D. all of the above
| 1 |
Chemistry
|
State whether the following sentence is always true, always false or ambiguous. Justify your answer. Makarasankranthi falls on a Friday.
| 2 |
Maths
|
\( \mathrm{CaCl}_{2} \) is preferred over \( \mathrm{NaCl} \) for clearing ice on roads on particularly in very cold countries. This is because:
A \( \cdot C a C l_{2} \) is not soluble in \( H_{2} O \) than \( N a C l \)
B . \( C a C l_{2} \) is hygroscopic but \( N a C l \) is not
c. eutectic mixture of \( C a C l_{2} / H_{2} O \) freezes at \( -55^{\circ} C \) while that of \( N a C l / H_{2} O \) freezes at \( -18^{\circ} C \)
D. \( N a C l \) makes the road slippery but \( C a C l_{2} \) does not
| 1 |
Chemistry
|
The following expression is a rational number. Find its value. \( \sqrt[3]{\mathbf{6} \sqrt{\mathbf{3}}+\mathbf{1 0}}-\sqrt[3]{\mathbf{6} \sqrt{\mathbf{3}}-\mathbf{1 0}} \)
| 2 |
Maths
|
The probability of electrons to be found
in the conduction band of an intrinsic
semiconductor at a finite temperature
A. decreases exponentially with increasing band gap
B. increases exponentially with increasing band gap
c. decreases with increasing temperature
D. is independent of the temperature and the band gap
| 3 |
Physics
|
A rectangular block is heated from \( 0^{\circ} C \)
to \( 100^{\circ} C \).
The percentage increase in its length is
\( 0.2 \% \).The percentage increase in its volume is:
A. \( 0.6 \% \)
B. \( 0.10 \% \)
\( c .0 .2 \% \)
D. \( 0.4 \% \)
| 3 |
Physics
|
Assertion
Chemicals added to foods for
increasing their life are called preservatives.
Reason
Natural sweeteners like sucrose and
artificial sweeteners like saccharin are
commonly used as food preservatives.
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
|
A particle of mass \( m \) moves on a straight line with its velocity varying with the distance travelled according to the equation \( \boldsymbol{v}=\boldsymbol{\alpha} \sqrt{\boldsymbol{x}}, \) where a is a
constant. Find the total work done by all the forces during a displacement from
\( \boldsymbol{x}=\mathbf{0} \) to \( \boldsymbol{x}=\boldsymbol{d} \)
A \( \cdot \frac{1}{2} m a^{2} b \)
B. \( \frac{1}{4} m a^{2} b \)
\( c \cdot m a^{2} b \)
D. \( 2 m a^{2} b \)
| 3 |
Physics
|
Write two distinguishing feature of nuclear forces.
| 3 |
Physics
|
Flash-lights make use of
A. convex lenses
B. concave lenses
c. both convex and concave lenses
D. no lenses at all
| 3 |
Physics
|
Assertion
\( C O \) is toxic.
Reason
CO forms complex with haemoglobin in the blood, and this complex is more stable than oxy-haemoglobin.
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 colour and state of phosphorus pentoxide is :
A. white crystalline solid
B. white amorphous liquid
c. blue crystalline
D. blue colour liquid
| 1 |
Chemistry
|
There are \( _{\text {- }-\text { - }-\text { - }} \) isotopes of hydrogen
A. 0
B.
\( c \cdot 2 \)
D.
| 3 |
Physics
|
Thickest cell wall is seen in ........ cell.
A. Sclerenchyma
B. Parenchyma
c. collenchyma
D. Both A and B
| 0 |
Biology
|
Among noble gases, only xenon reacts with fluorine to form stable xenon
fluorides, this is because xenon:
A. has the highest ionisation enthalpy
B. has the lowest ionisation enthalpy
c. has the highest heat of vapourisation
D. is the most readily available noble gas
| 1 |
Chemistry
|
In the set up shown, the two slits \( S_{1} \) and
\( S_{2} \) are not equidistant from the slit
S. The central fringe at 0 is then
A. always bright
B. always dark
C. either dark or bright depending on the position of
D. neither dark nor bright
| 3 |
Physics
|
\( F_{p p}, F_{n n} \) and \( F_{n p} \) are the nuclear forces
between proton-proton, neutron-neutron and neutron-proton respectively. Then relation between them is
\( \mathbf{A} \cdot F_{p p}=F_{n n} \neq F_{n p} \)
B . \( F_{p p} \neq F_{n n}=F_{n p} \)
\( \mathbf{c} \cdot F_{p p}=F_{n n}=F_{n p} \)
D \( \cdot F_{p p} \neq F_{n n} \neq F_{n p} \)
| 3 |
Physics
|
Sulphur molecule is:
A. diatomic
B. triatomic
c. tetraatomic
D. octa-atomic
| 1 |
Chemistry
|
In our society women are blamed for producing a female child. Choose the correct answer for sex determination in
humans due to
A. Some defect like aspermia in mann
B. Genetic make up of particular sperm which fertilizes the egg
c. Genetic make up of egg
D. Some defect in reproductive system of women
| 0 |
Biology
|
150 metre long train takes 10 seconds to pass a man who is going in the same
direction at the speed of \( 2 \mathrm{km} / \mathrm{hr} \). What is the speed of the train?
\( \mathbf{A} \cdot 52 \mathrm{km} / \mathrm{hr} \)
B. \( 56 \mathrm{km} / \mathrm{hr} \)
\( \mathbf{c} .84 \mathrm{km} / \mathrm{hr} \)
D. Data inadequate
| 3 |
Physics
|
State true or false:
The complex numbers \( \boldsymbol{z}=\boldsymbol{x}+\boldsymbol{i} \boldsymbol{y} \) which
satisfy the equation \( \left|\frac{z-5 i}{z+5 i}\right|=1 \) lie on
the axis of \( Y \)
| 2 |
Maths
|
Reservoirs, lakes, ponds, rivers and
canals contains how much percentage of fresh water?
A . 77.2 \%
B. 22.4 \%
c. \( 0.36 \% \)
D. 30.3 \%
| 0 |
Biology
|
Find the components along the coordinate axes of the position vector of each of the following point:
\( \boldsymbol{R}(-\mathbf{1 1},-\mathbf{9}) \)
| 2 |
Maths
|
What are the properties of a metal? This question has multiple correct options
A. Malleable
B. Ductile
c. Form acidic oxides
D. conductor
| 1 |
Chemistry
|
The magnification of an object placed in front of a convex lens of focal length 20 \( \mathrm{cm} \) is is \( +2 . \) To obtain a magnification of
\( -2, \) The object has to be moved a distance equal to:
\( A \cdot 10 \mathrm{cm} \)
B. 20 cm
\( c .30 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
| 3 |
Physics
|
The element with atomic number 111
might belong to which of the following group?
A. Chromium
B. Scandium
c. copper
D. Titanium
| 1 |
Chemistry
|
If the system of equations of \( 3 x-2 y+ \)
\( \boldsymbol{z}=\mathbf{0}, \boldsymbol{k} \boldsymbol{x}-\mathbf{1 4} \boldsymbol{y}+\mathbf{1 5 z}=\mathbf{0}, \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+ \)
\( \mathbf{3} z=\mathbf{0} \) has non trivial solution then \( \boldsymbol{k}= \)
A . 29
B . 26
\( c \cdot 23 \)
D. 19
| 2 |
Maths
|
Which of the following device is used to measure the optical activity?
A. Manometer
B. Barometer
c. Polarimeter
D. Hygrometer
| 1 |
Chemistry
|
If ordered pair \( (a, b) \) is given as (-2,0)
then \( a= \)
A . -2
B. 0
\( c \cdot 2 \)
D. None of the above
| 2 |
Maths
|
When light is refracted, which of the following does not change?
A. Wavelength
B. Frequency
c. velocity
D. Amplitude
| 3 |
Physics
|
A chair is bought by a trader for Rs. 7,200 at \( 20 \% \) discount on its marked
price. If he sells it at \( 16 \% \) discount on its marked price, find the profit percent made in the whole transaction.
| 2 |
Maths
|
In which one of the following reactions
does ozone act as a reducing agent?
A. \( B a O_{2}+O_{3} \rightarrow B a O+2 O_{2} \)
в. \( 2 H C l+O_{3} \rightarrow C l_{2}+H_{2} O+O_{2} \)
c. \( P b S+4 O_{3} \rightarrow P b S O_{4}+4 O_{2} \)
D. \( 2 K I+O_{3}+H_{2} O \rightarrow 2 K O H+I_{2}+O_{2} \)
| 1 |
Chemistry
|
A certain simple harmonic vibrator of
mass \( 0.1 k g \) has a total energy of \( 10 J \)
.Its displacement from the mean
position is \( 1 \mathrm{cm} \) when it has equal
kinetic and potential energies. The amplitude \( A \) and frequency \( n \) of
vibration of the vibrator are
\( ^{\mathbf{A}} \cdot A=\sqrt{2} c m, n=\frac{500}{\pi} H z \)
B. \( A=\sqrt{2} c m, n=\frac{1000}{\pi} H z \)
\( ^{\mathbf{C}} \cdot A=\frac{1}{\sqrt{2}} c m, n=\frac{500}{\pi} H z \)
D. \( A=\frac{1}{\sqrt{2}} c m, n=\frac{1000}{\pi} H z \)
| 3 |
Physics
|
Select the mismatched pair.
A. Gibberellic acid - Increases yield of sugarcane
B. Cytokinin - Promotes apical dominance
C. Ethylene - Sprouting of potato tuber
D. Abscisic acid - Inhibits seed germination
| 0 |
Biology
|
The disjunction of the statements, "lt is raining; The sun is shining" is
A. It is raining and the sun is shining
B. It is raining or the sun is shining
c. It is raining and the sun is not shining
D. It is not raining or the sun is not shining
| 2 |
Maths
|
The unit of molar conductivity is
A \( \cdot \operatorname{scm}^{2} s^{-1} \)
B . \( \mathrm{S} l^{2} \mathrm{mol}^{-1} \)
c. \( \operatorname{scm}^{2} m o l^{-1} \)
D. None of these
| 1 |
Chemistry
|
Find the radii of curvature of a convexo -
concave convergent lens made of glass with refractive index \( n=1.5 \) having
focal length of \( 24 \mathrm{cm} . \) One of the radii of
curvature is double the other
| 3 |
Physics
|
Use Euclid's division algorithm to find
the HCF of 135 and 225
| 2 |
Maths
|
(9,2),(5,-1) and (7,-5) are the vertices of the triangle. Find its area.
A . 10
B. 1
c. 12
D. 13
| 2 |
Maths
|
The binary compounds of metallic or non metallic elements with oxygen are called oxides.
A. True
B. False
| 1 |
Chemistry
|
In the expansion of \( \left(\boldsymbol{a} \sqrt{\boldsymbol{a}}+\frac{\mathbf{1}}{\boldsymbol{a}^{4}}\right)^{\boldsymbol{n}} \), the
coefficient in the second term exceeds
by 44 the coefficient in the first term. Find \( n \)
A . 20
B . 25
\( c .35 \)
D. 45
| 2 |
Maths
|
Hydrogen at the moment of its generation is generally called:
A. molecular hydrogen
B. nascent hydrogen
c. atomic hydrogen
D. protium
| 1 |
Chemistry
|
An electric dipole is held in a uniform electric field
(i) Using diagram show that it does not undergo any translatory motion,
(ii) derive an expression for torque acting on it.
| 3 |
Physics
|
The moment of inertia of a uniform
circular disc of radius 'R' and mass 'M'
about an axis touching the disc at its diameter and normal to the disc is:
\( A \cdot M R^{2} \)
B . \( \frac{2}{5} \mathrm{MR}^{2} \)
\( \mathbf{c} \cdot \frac{3}{2} \mathbf{M} \mathbf{R}^{2} \)
D. \( \frac{1}{2} \mathrm{MR}^{2} \)
| 3 |
Physics
|
Find the change in internal energy in
joule when \( 10 g \) of air heated from \( 30^{\circ} C \) to \( 40^{\circ} \mathrm{C} \)
\( \left(c_{v}=\mathbf{0 . 1 7 2} k c a l / k g / K J=\right. \)
\( 4200 J / k c a l) \)
\begin{tabular}{l}
A \( .62 .24 \mathrm{J} \) \\
\hline
\end{tabular}
в. 72.24
\( \mathrm{c} .52 .24 \mathrm{J} \)
D. \( 82.24 \mathrm{J} \)
| 3 |
Physics
|
Two bars of masses \( m_{1} \) and \( m_{2} \)
connected by a weightless spring of stiffness \( \kappa \) (figure shown above) rest on a smooth horizontal plane. Bar 2 is
shifted a small distance \( x \) to the left
and then released. If the velocity of the centre of inertia of the system after bar
breaks off the wall is given as \( v_{c m}= \)
\( \frac{s x \sqrt{m_{2} k}}{\left(m_{1}+m_{2}\right)} . \) Find \( s \)
| 3 |
Physics
|
Can friction ever be eliminated?
A. Yes
B. No
c. Sometimes
D. Depends on the object in regard
| 3 |
Physics
|
The height of a cuboid is \( 18 \mathrm{m} \). Its length is 3 times its height and 2 times its width. Find the surface area of the
cuboid.
\( \mathbf{A} \cdot 5280 m^{2} \)
В. \( 5832 m^{2} \)
c. \( 5313 m^{2} \)
D. \( 5188 m^{2} \)
| 2 |
Maths
|
If the reaction equation is \( n A+m B \leftrightarrow \)
\( x C+y D \)
What is the equilibrium equation?
A \( \cdot K=[C]^{x}[D]^{y} /[A]^{n}[B]^{m} \)
B . \( K=[A]^{n}[B]^{m} /[C]^{x}[D]^{y} \)
C . \( K=[A]^{n}[B]^{m} /[A]^{n}[B]^{m} \)
D. \( K=[C]^{x}[A]^{y} /[A]^{n}[D]^{m} \)
E . \( K=[C][D] /[A][B] \)
| 1 |
Chemistry
|
The lift of an air plane is based on
A. Torricelli's theorem
B. Bernoulli's theorem
c. Law of gravitation
D. conservation of .linear momentum
| 3 |
Physics
|
The number of triangles with any three of the length 1,4,6 and \( 8 \mathrm{cm} \) as sides is:
A . 4
B. 2
c. 1
\( D \)
| 2 |
Maths
|
The difference in the length of a mean
solar day and a sidereal day is about
A. 1 minute
B. 4 minute
c. 15 minute
D. 56 minute
| 3 |
Physics
|
When \( \boldsymbol{x}=\mathbf{3} \) and \( \boldsymbol{y}=\mathbf{5}, \) by how much
does the value of \( 3 x^{2}-2 y \) exceed the
value of \( 2 x^{2}-3 y ? \)
A . 4
в. 14
c. 19
D. 20
\( E \cdot 50 \)
| 2 |
Maths
|
An "Anti-symmetric" relation need not be reflexive relation: give an example.
| 2 |
Maths
|
When \( N H_{4} C l \) is added to \( N H_{4} O H \)
solution, the dissociation of ammonium hydroxide is reduced. It is due to:
A. common ion effect
B. hydrolysis
c. oxidation
D. reduction
| 1 |
Chemistry
|
Explain why (or how):
(a) in a sound wave, a displacement node is a pressure antinode and vice
versa,
(b) bats can ascertain distances
directions, nature and sizes of the
obstacles without any "eyes"
(c) a violin note and sitar note may have
the same frequency, yet we can distinguish between the two notes,
(d) solids can support both longitudinal and transverse waves, but only
longitudinal waves can propagate in gases, and
(e) the shape of a pulse gets distorted during propagation in a dispersive medium.
| 3 |
Physics
|
A capacitor of capacitance \( C \) is charged
to a potential difference \( V \) from a cell and then disconnected from it. A charge
\( +Q \) is now given to its positive plate. The potential difference across the capacitor is now
A. \( V \)
B. \( V+\frac{Q}{C} \)
c. \( _{V}+\frac{Q}{2 C} \)
D. \( V-\frac{Q}{C}, \) if \( Q<C V \)
| 3 |
Physics
|
The ray diagram shown below is
introduced to show how a concave
mirror forms an image of an object
a) Identify the mistake and draw the
correct ray diagram
b) Write the justifications for your
corrections.
| 3 |
Physics
|
The compounds used in plastic industry and polymer industry respectively are :
A. Vinyl acetate \& Vinylcyanide
B. Vinyl cyanide \& Vinyl acetate
C. Acrylonitrile \& Ethylidene
D. Ethylidene cyanide \& Vinyl cyanide
| 1 |
Chemistry
|
The correct order of increasing basic nature of the following base is:
5
\( A \cdot 2<5<1<3<4 \)
B. \( 5<2<1<3<4 \)
\( c \cdot 2<5<1<4<3 \)
D. \( 5<2<1<4<3 \)
| 1 |
Chemistry
|
The P-T graph for the given mass of an
ideal gas is shown in figure. Then the
volume
A . increases
B. decreases
c. remains constant
D. data insufficient
| 3 |
Physics
|
How burning of fossil fuels leads to
increase in global warming?
| 0 |
Biology
|
If the first seven children born to a
particular pair of parents are all males, what is the probability that the eighth
child will also be a male?
A \( \cdot \frac{1}{2} \)
в.
\( c \cdot \frac{1}{8} \)
D. \( \frac{1}{16} \)
| 0 |
Biology
|
If \( A=\{1,2\}, B=\{3,4\}, \) then \( A \times B= \)
B. \{(1,1),(2,2),(3,3),(4,4)\}
c. \{(4,1),(3,1),(4,2),(3,2)\}
D. All the above
| 2 |
Maths
|
A carbon resistor is shown in the figure.
Using colour code, write the value of the
resistance.
| 3 |
Physics
|
Arrange the following acids in
decreasing order of \( \left[\boldsymbol{H}^{+}\right] \) conc.
\( \mathrm{cH}_{2}=\mathrm{cHCH}_{2}-\mathrm{cooH} \quad \mathrm{cH}_{3} \mathrm{CH}_{2} \mathrm{coot} \)
(II
A \( . I>I I>I I I \)
В. \( I I>I I I>I \)
c. \( I I>I>I I I \)
D. \( I I I>I I>I \)
| 1 |
Chemistry
|
Among the four compounds (i) acetone,
(ii) propanol, (iiii) methyl acetate and
(iv) propionic acid, the two that are isomeric are
A. methyl acetate and acetone
B. methyl acetate and propanol
c. propionic acid and methyl acetate
D. propionic acid and acetone
| 1 |
Chemistry
|
Find the value of \( \boldsymbol{x}+\boldsymbol{y} \) if \( \left[\begin{array}{cc}\boldsymbol{x} & \mathbf{7} \\ \mathbf{9} & \boldsymbol{y}-\mathbf{5}\end{array}\right]+\left[\begin{array}{cc}\mathbf{6} & -\mathbf{7} \\ \mathbf{4} & \mathbf{5}\end{array}\right]=\left[\begin{array}{cc}\mathbf{1 0} & \mathbf{7} \\ \mathbf{2 2} & \mathbf{1 5}\end{array}\right] \)
| 2 |
Maths
|
At which parts of our body can we bend?
A. Knee
B. Elbow
c. Neck
D. All of the above
| 0 |
Biology
|
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