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An an arithmetic progression of 50
terms, the sum of first ten terms is 210
and the sum of last fifteen terms is
2565. Find the arithmetic progression.
| 2 |
Maths
|
An equilateral prism is lying on the prism table of a spectrometer in a minimum deviation position. If the
angle of incidence is \( 60^{\circ}, \) then the angle
of deviation will be:
A \( .90^{\circ} \)
B. 60
c. 45
D. \( 30^{\circ} \)
| 3 |
Physics
|
Which of the following pairs of ions are
isoelectronic and isostructural?
A \( \cdot C l O_{3}^{-}, S O_{3}^{2} \)
в. \( \mathrm{ClO}_{3}-, \mathrm{CO}_{3}^{2} \)
c. \( C O_{3}^{2-}, N O_{3} \)
D. \( S O_{3}^{2-}, N O_{3} \)
| 1 |
Chemistry
|
Soil contain rock particles
A. Water and plants
B. Minerals, organic matter, air and water
C. Air and plants
D. Air, water and plants
| 0 |
Biology
|
Assertion
Frictional force is independ of the
velocity of the body
Reason
Friction is due to surface irreqularities.
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 not a green-
house gas?
A. water vapour
B. Carbon dioxide
c. Methane
D. oxygen
| 0 |
Biology
|
For diamagnetic materials, magnetic susceptibility is
A. Small and negative
B. Small and positive
c. Large and negative
D. Large and positive
| 3 |
Physics
|
Convert the following improper fraction into mixed fraction.
\( \frac{27}{4} \)
| 2 |
Maths
|
A current of \( 1 A \) flowing along positive \( x \) axis through a straight wire of length \( 0.5 m \) placed in a region of a magnetic field given by \( \vec{B}=(2 \hat{i}+4 \hat{j}) \) T. The
magnitude and direction of the force experienced by the wire respectively
are:
A. \( \sqrt{18} N, \) along positive \( z \) axis
B. \( \sqrt{20} N \), along positive \( x \) axis
c. \( 2 N \) along positive z axis
D. \( 4 N \) along positive Y axis
| 3 |
Physics
|
Consider the given statements about polysaccharides.
I. These are amorphous solids
II. These are insoluble in water
III. These are sugars
The incorrect statements is/are:
A . only III
B. II and III
c. I and III
D. All
| 1 |
Chemistry
|
If direction numbers of two lines are
\( a, b, c \) and \( b-c, c-a, a-b \) prove that
they are perpendicular to each other.
| 2 |
Maths
|
Draw \( \angle A B C \) of measure \( 125^{\circ} \) and bisect
¡t
| 2 |
Maths
|
The volume of a hemisphere is \( 2425 \frac{1}{2} c m^{3} . \) Find its curved surface
area. \( \left[\boldsymbol{U s e} \boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}}\right] \)
| 2 |
Maths
|
A line which passes through (5,6) and (-3. -4) has an equation of
A. \( 5 x+4 y+1=0 \)
в. \( 5 x-4 y-1=0 \)
c. \( 5 x-4 y+1=0 \)
D. \( 5 x+y-1=0 \)
E. none of these
| 2 |
Maths
|
toppr
Q Type your question
4
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
If \( \boldsymbol{y}=\cos ^{-1}(\cos \boldsymbol{x}), \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \boldsymbol{a} \boldsymbol{t} \boldsymbol{x}= \)
\( \frac{5 \pi}{4} \) is equal to
\( \mathbf{A} \cdot \mathbf{1} \)
B . -
c. \( \frac{1}{\sqrt{2}} \)
D. \( -\frac{1}{\sqrt{2}} \)
| 2 |
Maths
|
Adsorption method uses to
separate pollutants from air.
A . funne
B. porous solid
c. sand
D. scrubber
| 1 |
Chemistry
|
Find the total number of pennies in a tenth of a mole of pennies.
A \( \cdot 6.02 \times 10^{23} \) pennies
B. 10 pennies
c. \( 6.02 \times 10^{22} \) pennies
D. 0.1 pennies
E. 1 penny
| 1 |
Chemistry
|
If \( x^{3}+a x^{2}+b x+6 \) divided by \( x-2 \) as
factor then remainder becomes \( 0, \) and
leaves remainder 3 when divided by
\( x-3 \) find the values of a and \( b \)
| 2 |
Maths
|
Equilibrium constant for the following
reaction is \( 1 \times 10^{-9} \)
\[
\begin{array}{c}
C_{5} H_{5} N(a q .)+H_{2} O(l) \rightleftharpoons \\
C_{5} H_{5} N H^{+}(a q .)+O H^{-}(a q .)
\end{array}
\]
Determine the mole of pyridirium
cholride \( \left(C_{5} H_{5} N . H C l\right) \) that should be
added to \( 500 m L \) solution of \( 0.4 M \)
pyridine \( \left(C_{5} H_{5} N\right) \) to obtain a buffer
solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{5} \)
A. 0.1 mole
B. 0.2 mole
c. 0.3 mole
D. 0.4 mole
| 1 |
Chemistry
|
State whether given statement is True or False.
Does lightning always strike the tallest object?
A. True
B. False
| 3 |
Physics
|
All of the following statements are true
about Bohr's model of the atom except
which one of the following?
A. An electron may assume an infinite number of velocities
B. An atom is most stable when its electronic configuration is that of the ground state
C. The electron shell numbers represents the principal energy levels
D. Electrons in orbitals closest to the nucleus have the
lowest energy
E. They are all consistent
| 1 |
Chemistry
|
Figure here shows the frictional force
versus displacement for a particle in
motion. The loss of kinetic energy in
travelling over \( \boldsymbol{x}=\mathbf{0} \) to \( \mathbf{2 0} \boldsymbol{m} \) will be :
A .250 .
В. 200 .
c. 150 )
D. 10 J
| 3 |
Physics
|
The total number of electrons in the
carbon atom of methyl free radical is:
A. six
B. seven
c. eight
D. nine
| 1 |
Chemistry
|
A committee of three persons is to be randomly selected from a group of three
men and two women and the chair
person will be randomly selected from the committee.The probability that the
committee will have exactly two women and one man, and that the chair person
will be a women, is / are
A \( \cdot \frac{1}{5} \)
B. \( \frac{8}{15} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{3}{10} \)
| 2 |
Maths
|
Four particles each of mass 'm' are placed at the four vertices of a square of side 'a'. Find the net force on any one of
the particle.
| 3 |
Physics
|
Find the general solution of the trigonometric equation \( \sqrt{16 \cos ^{4} x-8 \cos ^{2} x+1}+ \)
\( \sqrt{16 \cos ^{4} x-24 \cos ^{2} x+9}=2 \)
| 2 |
Maths
|
Three charged particles are in equilibrium under their electrostatic forces only:
This question has multiple correct options
A. The particles must be collinear
B. All the charges cannot have the same magnitude
c. All the charges cannot have the same sign
D. The equilibrium is unstable
| 3 |
Physics
|
The density of nucleus is of the order of:
A \( \cdot 10^{5} k g m^{-3} \)
В. \( 10^{16} \) kgm \( ^{-3} \)
\( \mathbf{c} \cdot 10^{17} k g m^{-3} \)
D. \( 10^{25} \mathrm{kgm}^{-3} \)
| 1 |
Chemistry
|
Assertion
\( \boldsymbol{H}_{2} \boldsymbol{O} \) is the only hydride of group- 16 which is liquid at ordinary temperature.
Reason
In ice, each oxygen atom is surrounded by two covalent bonds and two hydrogen bonding.
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
|
In the isolation of fluorine a number of
difficulties were encountered.Which
statements are incorrect:
This question has multiple correct options
A. Fluorine reacts with moist glass vessels
B. Fluorine has great affinity for hydrogen
C. Electrolysis of aqueous HF gives ozonized oxygen
D. The potential required for the discharge of the fluoride ions lowest
| 1 |
Chemistry
|
Which is the first stage of life cycle of silkworm?
A. Eggg
B. Pupa
c. cocoon
D. Larva
| 1 |
Chemistry
|
In a circuit, \( L, C \) and \( R \) are connected in series with an alternating voltage source of frequency \( f \). The current leads
the voltage by \( 45^{\circ} . \) The value of \( C \) is :
A \( \frac{1}{\pi f(2 \pi f L+R)} \)
в. \( \frac{1}{\pi f(2 \pi f L-R)} \)
c. \( \frac{1}{2 \pi f(2 \pi f L+R)} \)
D. \( \frac{1}{2 \pi f(2 \pi f L-R)} \)
| 3 |
Physics
|
Which one of the following options
correctly designate the percent contribution of gases \( (A, B, C \text { and } D) \)
responsible of global warming?
\( N_{2} O(6 \%) \)
(2)\( \quad C F C s(20 \%) \quad C O_{2}(14 \%) \quad N_{2} O(6 \%) \) (3) \( N_{2} O(20 \%) \quad C H_{4}(14 \%) \quad C F C s(6 \% \)
(4)
\( C H_{4}(20 \%) \quad N_{2} O(14 \%) \) \( C F C s\left(6^{\circ}\right. \)
\( A \cdot A \)
B. B
\( c \cdot c \)
\( D . D \)
| 0 |
Biology
|
If the lead-acid battery is discharged too far or left in a discharged condition, it cannot be recharged any more because:
A. terminal voltage becomes too low
B. hard lead sulphate forms on its electrodes
c. internal resistance of the cell becomes very high
D. internal resistance of the cell becomes too low
| 1 |
Chemistry
|
A wheel of radius 0.5 m rolls without sliding on a horizontal surface, starting from rest, the wheel moves with
constant acceleration \( 6 ~ r a d / s^{2} \). The distance travelled by the centre of the wheel from \( t=0 \) to \( t=3 s \) is:
A . 27 m
в. \( 13.5 \mathrm{m} \)
\( c .18 m \)
D. zero
| 3 |
Physics
|
If \( r \) is radius of first orbit, the radius of
nth orbit of the \( \mathrm{H} \) atom will be :
\( A \cdot m^{2} \)
B. rn
\( c \cdot r / n \)
\( D \cdot r^{2} n^{3} \)
| 1 |
Chemistry
|
If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2} \) and
\( \boldsymbol{f}(1)=2, f(x+y)=f(x) f(y) \) for all
\( \boldsymbol{x}, \boldsymbol{y} \in \boldsymbol{R} . \) Then \( \boldsymbol{x}^{f(1)}+\boldsymbol{y}^{f(2)}+\boldsymbol{z}^{f(3)}- \)
\( \frac{\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}}{\boldsymbol{x}^{f(1)}+\boldsymbol{y}^{f(2)}+\boldsymbol{z}^{f(3)}} \) is equal to
\( A \cdot 0 \)
B. 1
\( c \cdot 2 \)
D. 3
| 2 |
Maths
|
In the following sequences of reactions, the compound \( Q \) formed will be?
\[
\mathbb{P} \stackrel{\text { Oleum }}{\longrightarrow} P \frac{(\mathrm{i}) \mathrm{NaOH}}{(\mathrm{ii}) \mathrm{H}^{+}} \rightarrow Q
\]
A . aniline
B. phenol
c. benzaldehyde
D. benzene sulphonic acid
| 1 |
Chemistry
|
Using sedimentation analysis, check the correctness of the following
equation \( \boldsymbol{v}^{2}=\boldsymbol{u}^{2}+\mathbf{2} \boldsymbol{a} \boldsymbol{s} \)
| 3 |
Physics
|
The entropy change in a system increases as:
A. solid <liquid < gas
B. liquid < gas < solid
c. solid <gas <liquid
D. gas < solid <liquid
| 1 |
Chemistry
|
Which of the following are used as free
radical chain initiators ?
This question has multiple correct options
A. Benzoyl peroxide
B. di-tert-butyl peroxide
c. Carbon tetrachloride
D. Benzoquinone
| 1 |
Chemistry
|
Add:
(i) \( 3 m n,-5 m n, 8 m n,-4 m n \)
(ii) \( \boldsymbol{t}-\mathbf{8} \boldsymbol{t} \boldsymbol{z}, \boldsymbol{3} \boldsymbol{t} \boldsymbol{z}, \boldsymbol{-} \boldsymbol{z}, \boldsymbol{z}-\boldsymbol{t} \)
\( (\text { iii) }-7 m n,+5,12 m n+2,9 m n- \)
\( \mathbf{8}, \mathbf{2 m n},-\mathbf{3} \)
\( (i v) a+b-3, b-a+3, a-b+3 \)
(v) \( 14 x+10 y-12 x y-13,18-7 x \)
\( \mathbf{1 0} \boldsymbol{y}+\mathbf{8} \boldsymbol{x} \boldsymbol{y}, \boldsymbol{4} \boldsymbol{x} \boldsymbol{y} \)
\( (v i) 5 m-7 n, 3 n-4 m+2,2 m- \)
\( 3 m n-5 \)
\( (v i i) 4 x^{2} y,-3 x y^{2},-5 x y^{2}, 5 x^{2} y \)
| 2 |
Maths
|
No image formation occurs on blind-
spot of retina because
A. It is not present of the optical axis of the eye.
B. Here, cones and rods are absent.
C. On this part, only cones are present
D. The nerve fibres of this region do not contribute in the formation of optic chiasma.
| 0 |
Biology
|
The process that you see is used for
purification of copper. A thin plate of
pure copper and a thick rod of impure
copper are used as electrodes. Copper
from impure rod is sought to be
transferred to the thin copper plate.
Which electrode should be attached to
the positive terminal of battery and
why?
| 3 |
Physics
|
What type of wave is represented by displacement-distance graph?
A . Longitudinal wave
B. Transverse wave
c. sound waves
D. water waves
| 3 |
Physics
|
Coke floats on water when dissolved,
this is due to the presence of air in it.
| 1 |
Chemistry
|
Why can one ignore quantisation of electric charge when dealing with macroscopic i.e., large scale charges?
| 3 |
Physics
|
Select the correct statements.
This question has multiple correct options
A ror the reaction, \( H_{2}(g)+I_{2}(g) \rightleftharpoons 2 H I . \frac{d\left[H_{2}\right]}{d t}= \)
\( K_{b}[H I]^{2} \) for backward reaction and \( -\frac{d\left[H_{2}\right]}{d t}= \) \( K_{f}\left[H_{2}\right]\left[I_{2}\right] \)
B. At equilibrium net rate of change in conc. of \( H_{2} \) is zero for, \( H_{2}+I_{2} \rightleftharpoons 2 H I \)
C. A thermodynamically favourable process actually takes place
D. A thermodynamically favourable process will not actually take place unless it chemical kinetics is favourable
| 1 |
Chemistry
|
A rod of moment of inertia I and length
is suspended from a fixed end and
given small oscillations about the point of suspension, the restoring torque is
found to be \( -(\boldsymbol{m} \boldsymbol{g} \boldsymbol{L} / \mathbf{2}) \boldsymbol{s} \boldsymbol{i} \boldsymbol{n} \boldsymbol{\theta} . \) What will
be the angular equation of motion of the
SHM
A \( \cdot \frac{d^{2} \theta}{d t^{2}}+(m g L / I) \theta=0 \)
B \( \cdot \frac{d^{2} \theta}{d t^{2}}+(m g L / 2 I) \theta=0 \)
\( ^{\mathbf{c}} \cdot \frac{d^{2} \theta}{d t^{2}}+(2 m g L / I) \theta=0 \)
D. \( \frac{d^{2} \theta}{d t^{2}}+(m g L / 4 I) \theta=0 \)
| 3 |
Physics
|
xand \( \frac{8}{9} \) are the additive inverse of each other.Then the value of \( x \) is
A \( \cdot \frac{-8}{9} \)
в. \( \frac{-4}{9} \)
c. \( \frac{-5}{9} \)
D. \( \frac{-7}{9} \)
| 2 |
Maths
|
The correct set the quantum unpaired electron of chlorine atom is:
A \( \cdot n=2,1=1, m_{1}=0 \)
B . \( n=2,1=1, m_{1}=1 \)
c. \( n=3,1=1, m_{1}=1 \)
D. \( n=3,1=0, m_{1}=0 \)
| 1 |
Chemistry
|
The logic gate equivalent to the above combination of logic gates is
A. OR
B. NAND
\( c \cdot \) AND
D. NOR
| 3 |
Physics
|
Find the area of a regular polygon of 7 sides whose each side measures \( 4 \mathrm{cm} \)
and the circumradius is \( 3 \mathrm{cm}(\sqrt{5}= \) \( \mathbf{2 . 2 3 6}) \)
A \( \cdot 31.304 \mathrm{cm}^{2} \)
B. \( 31.804 \mathrm{cm}^{2} \)
c. \( 31.304 m^{2} \)
D. None of these
| 2 |
Maths
|
How many outcomes are possible when a coin is tossed
A. 2 times
B. 3 times
c. 4 times
D. 5 times
| 2 |
Maths
|
Blue colour of sky is due to
| 3 |
Physics
|
Evaluate \( \frac{\cos 45^{0}}{\sec 30^{0}+\operatorname{cosec} 30^{0}} \)
A. \( \frac{\sqrt{2}}{\sqrt{3}+1} \)
B. \( \frac{\sqrt{3}}{2 \sqrt{2}+2 \sqrt{6}} \)
c. \( \frac{\sqrt{2}}{\sqrt{2}+1} \)
D. \( \frac{\sqrt{2}}{\sqrt{3}+2} \)
| 2 |
Maths
|
The domain of the function \( f(x)= \) \( \left\{\begin{array}{l}\left(x^{2}-9\right) /(x-3), \text { if } x \neq 3 \\ 6, \quad \text { if } x=3\end{array}\right. \)
A \( .(0,3) \)
в. \( (-\infty, 3) \)
\( \mathbf{C} \cdot(-\infty, \infty) \)
D \cdot \( (3, \infty) \)
E \( .(-3,3) \)
| 2 |
Maths
|
What is the electric potential at the centre of a hemisphere of radius \( \mathrm{R} \) and
having surface charge density \( \sigma ? \)
A \( \cdot \frac{\sigma}{2 \varepsilon_{0}} \)
в. \( \frac{\sigma}{\varepsilon_{0}} \)
c. \( \frac{\sigma}{\varepsilon_{0}} R \)
D. \( \frac{\sigma}{2 \varepsilon_{0}} R \)
| 3 |
Physics
|
An ebonite rod rubbed with fur and a
glass rod rubbed with silk cloth are brought nearer to each other. Then
A. they will attract each other
B. they will repel each other
C. nothing will happen to them
D. they will get heated up
| 3 |
Physics
|
A man weighing 100 kg carries a load of
\( 10 \mathrm{kg} \) on his head. He jumps from a tower with the load on his head. What
will be the weight of the load as experienced by the man?
A. zero
в. \( 10 \mathrm{kg} \)
c. slightly more than \( 10 \mathrm{kg} \)
D. \( 110 \mathrm{kg} \)
| 3 |
Physics
|
T-shape molecules are:
A \( . C l F_{3} \)
в. \( I C l_{3} \)
\( \mathbf{c} \cdot B r F_{3} \)
D. all of these
| 1 |
Chemistry
|
A student has to secure \( 35 \% \) marks to
pass. He got 80 marks and failed by 60 marks. The maximum marks are
A . 100
в. 200
c. 300
D. 400
| 2 |
Maths
|
A shopkeeper has 124 cycle parts, out of
which 8 are defective. What percentage
is defective
| 2 |
Maths
|
Which of the following statements is
accurate in explaining why Gram
negative bacteria are generally more
resistant to penicillins than Gram
positive bacteria?
A. Gram negative bacteria have a thicker cell wall
B. Gram negative bacteria have an outer hydrophilic membrane that acts as an extra barrier
C. Gram negative bacteria can concentrate \( \beta \) -lactamase enzymes in the periplasmic space
D. Gram negative bacteria produce smaller quantities of transpeptidase enzyme
| 1 |
Chemistry
|
(A) Used extensively in agriculture and horticulture practice
(B) rapid cell division
(C) Initiate rooting in stem cutting
(D) Speed up malting process
(E) Promotes female flower in cucumbers
(F) Dormancy in seeds/buds. How many function from above perform by the Auxin in plants.
A. Three
в. Two
\( c . \) Five
D. Four
| 0 |
Biology
|
A body is freely rolling down on an
inclined plane whose angle of inclination is \( \theta . \) If \( a \) is acceleration of
it's centre of mass then which of the
relation holds true? ( Given acceleration
due to gravity \( =g) \)
A \( . a=g \sin \theta \)
B. \( a<g \sin \theta \)
c. \( a>g \sin \theta \)
\( \mathbf{D} \cdot a=0 \)
| 3 |
Physics
|
Prove for an a.c. circuit:
\( \boldsymbol{P}_{\boldsymbol{a v}}=\boldsymbol{V}_{\boldsymbol{r m s}} \times \boldsymbol{I}_{\boldsymbol{r m s}} \times \cos \boldsymbol{\phi} \)
| 3 |
Physics
|
The shielding constant ' \( \sigma^{\prime} \) for \( _{7} N \) atom
is :
A . 3.10
B. 3.40
c. 3.80
D. 4.20
| 1 |
Chemistry
|
If \( \vec{a} \) and \( \vec{b} \) are unit vectors, then angle between \( \vec{a} \) and \( \vec{b} \) for \( \sqrt{3} \vec{a}-\vec{b} \) to be unit
vector is
A \( .60^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 45 \)
D. 30
| 2 |
Maths
|
If we change the value of \( R \), then
A. Voltage does not change on \( L \)
B. Voltage does not change on LC combination
C. Voltage does not change on \( \mathrm{C} \)
D. Voltage change on LC combination
| 3 |
Physics
|
Which of the following is the property of carbon monoxide?
A. Oxidising agent
B. Catalytic agent
c. Neutral oxide
D. Reducing agent
E. None of the above
| 1 |
Chemistry
|
The species having tetrahedral shape is
\( - \)
A \( \cdot\left[P d C l_{4}\right]^{2-} \)
B . \( \left[N i(C N)_{4}\right]^{2} \)
c. \( \left[P d(C N)_{4}\right]^{2} \)
\( \mathbf{D} \cdot\left[N i C l_{4}\right]^{2-} \)
| 1 |
Chemistry
|
Of the following which one is classified
as polyester polymer?
A. Terylene
B. Backelite
c. Melamine
D. Nylon-66
| 1 |
Chemistry
|
If \( \sin \theta \) is \( \mathrm{G} . \mathrm{M} \) of \( \sin \phi \) and \( \cos \phi, \) then
prove that \( \cos 2 \theta=2 \cos ^{2}\left(\frac{\pi}{4}+\phi\right) \)
| 2 |
Maths
|
A strong base an abstract an \( \alpha- \)
hydrogen from:
A. alkane
B. alkene
c. amine
D. ketone
| 1 |
Chemistry
|
If the eccentricities of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) and \( \frac{y^{2}}{b^{2}}-\frac{x^{2}}{a^{2}}=1 \) be \( e \) and
\( e_{1}, \) then \( \frac{1}{e^{2}}+\frac{1}{e_{1}^{2}}= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. None of these
| 2 |
Maths
|
The probability of getting a boy in a class is 0.6 and there are 45 students In a class, then find the number of girls in the class.
| 2 |
Maths
|
Let \( \vec{A}, \vec{B} \) and \( \vec{C} \) be unit vectors. Suppose that \( \vec{A} \cdot \vec{B}=\vec{A} \cdot \vec{C}=0 \) and that the
angle between \( \vec{B} \) and \( \vec{C} \) is \( \frac{\pi}{6} \) then \( \overrightarrow{\boldsymbol{A}}= \)
A \( \cdot \pm 2(\vec{B} \times \vec{C}) \)
B \( \cdot \pm(\vec{B} \times \vec{C}) \)
c. \( \pm 2(\vec{B}+\vec{C}) \)
D. \( \pm(\vec{B}+\vec{C}) \)
| 2 |
Maths
|
For transistor action, which of the
following statements are correct:
This question has multiple correct options
A. Base, emitter and collector regions should have similar size and doping concentrations
B. The base region must be very thin and lightly doped
C. The emitter junction is forward biased and collector junction is reverse biased
D. Both the emitter junction as well as the collector junction are forward biased
| 3 |
Physics
|
Two uniform solid spheres of equal radii
\( R, \) but mass \( M \) and \( 4 M \) have a centre
to centre separation \( 6 R \), as shown in Figure. The two spheres are held fixed. A projectile of mass \( m \) is projected from
the surface of the sphere of mass \( M \)
directly towards the centre of the second sphere. Obtain an expression for the minimum speed \( v \) of the projectile
so that it reaches the surface of the
second sphere.
| 3 |
Physics
|
The best method to determine the age
of a tree is to
A. Measure its diameter
B. Count the number of leaves
C. Count the number of annual rings at the base of main stem
D. Find out the number of branches
| 0 |
Biology
|
Find the multiplicative inverse of:
(0.11)\( (\sqrt{0.11}) \)
| 2 |
Maths
|
Mother is responsible for the sex of a baby.
A . True
B. False
| 0 |
Biology
|
Kepler's second law is based on:
A. Newton's first law
B. Newton's second law
C . special theory of relativity
D. conservation of angular momentum
| 3 |
Physics
|
The profile of advancing liquid is the same at a given point at all times, then the flow is:
A. turbulent
B. rapid
c. viscous
D. streamlined
| 3 |
Physics
|
What per cent is \( 3 \% \) of \( 5 \% ? \)
A . \( 15 \% \)
B . 30\%
c. \( 50 \% \)
D. 60\%
| 2 |
Maths
|
Toothpaste is in nature.
A. acidic
B. basic
c. neutral
D. Both (A) and (B)
| 1 |
Chemistry
|
Density of a solid is \( 18300 k g / m^{3} . \) What
is its relative density?
A. 1830
B. 183
\( c \cdot 18.3 \)
D. 1.83
| 3 |
Physics
|
Discuss with your teacher and find out how to distinguish between.
(a) Plasmid DNA and Chromosomal DNA
(b) RNA and DNA
(c) Exonuclease and Endonuclease
| 0 |
Biology
|
What can be the causes of helical
motion of a charged particle?
| 3 |
Physics
|
What is the action of Biuret reagent on
proteins?
| 1 |
Chemistry
|
A force \( f_{1} \) pushes on an object of mass
\( 10 \mathrm{kg} \) with a force of \( 5 \mathrm{N} \) to the right. \( \mathrm{A} \) force pushes on the same object with a
force \( f_{2} \) of \( 15 \mathrm{N} \) to the left. What is the
acceleration of the object?
A \( \cdot 0.3 \mathrm{m} / \mathrm{s}^{2} \) to the left
B. \( 0.5 \mathrm{m} / \mathrm{s}^{2} \) to the left
C. \( 1 \mathrm{m} / \mathrm{s}^{2} \) to the left
D. \( 1.5 \mathrm{m} / \mathrm{s}^{2} \) to the left
E \( \cdot 10 m / s^{2} \) to the left
| 3 |
Physics
|
The length of the tube of a compound microscope \( 15 \mathrm{cm} . \) The focal length of objective and eye lenses are \( 1 \mathrm{cm} \) and \( 5 \mathrm{cm} \) respectively. The magnifying power of microscope for relaxed vision is:
\( \mathbf{A} \cdot 50 \mathrm{cm} \)
B. \( 75 \mathrm{cm} \)
\( \mathbf{c} \cdot 25 c m \)
D. \( 100 \mathrm{cm} \)
| 3 |
Physics
|
Fill in the blanks to complete the
following sentences:
i) A ray travelling towards the mirror is
the
ii) Angle between reflected ray and normal is the
iii) The angle between reflecting
surface and the reflected ray is the
A. i-incident ray, ii-angle of reflection, iii-glancing angle of reflection
B. i-normal ray, ii-glancing angle of reflection, liii-angle of incidence
C. i-reflected ray, ,ii glancing angle of incidence , iiiglancing angle of reflection
D. i-reflected ray, ,ii-angle of incidence, iii- angle of reflection
| 3 |
Physics
|
During reproduction in certain fungi when the two hyphae fuse together, there is fusion of cytoplasm, but the nuclei remain separate. What is this phenomenon known as?
A. Syncytum
B. Karyogamy
c. Plasmogamy
D. Fibroblast
| 0 |
Biology
|
The rms velocity of hydrogen is \( \sqrt{7} \) times the rms velocity nitrogen. If \( \boldsymbol{T} \) is
the temperature of the gas.
\( \mathbf{A} \cdot T\left(H_{2}\right)=T\left(N_{2}\right) \)
B . \( T\left(H_{2}\right)>T\left(N_{2}\right) \)
c. \( T\left(H_{2}\right)<T\left(N_{2}\right) \)
D. \( T\left(H_{2}\right)=\sqrt{7} T\left(N_{2}\right) \)
| 1 |
Chemistry
|
If an electron and a proton having same momenta enter perpendicular to a magnetic field, then :
A. curved path of electron and proton will be same (ignoring the sense of revolution)
B. They will move undeflected
c. curved path of electron is more curved than that of the proton
D. Path of proton is more curved
| 3 |
Physics
|
Find the first term of the sequence
whose \( n^{t h} \) is given as:
\( \boldsymbol{t}_{\boldsymbol{n}}=\mathbf{4} \boldsymbol{n}-\boldsymbol{3} \)
A .2
B. 1
\( c .3 \)
D. 4
| 2 |
Maths
|
State whether the statement is True or
False.
Evaluate: \( (a+b c)(a-b c)\left(a^{2}+b^{2} c^{2}\right) \) is
equal to \( a^{4}-b^{4} c^{4} \)
A. True
B. False
| 2 |
Maths
|
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