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Figure shows the circular motion of a
particle. The radius of the circle, the
period, sense of revolution and the initial position are indicated in the
figure. The simple harmonic motion of
the \( x \) - projection of the radius vector of the rotating particle P is
A \( \cdot x=2 \cos \left[2 \pi t+\frac{\pi}{4}\right. \)
B・ \( x=2 \sin \left[2 \pi t+\frac{\pi}{4}\right] \)
c. \( x=2 \sin \left[2 \pi t-\frac{\pi}{4}\right] \)
D. \( x=2 \cos \left[2 \pi t-\frac{\pi}{4}\right] \)
| 3 |
Physics
|
Distinguish between regular and
diffused reflection. Does diffused
refection mean the failure of the laws of
reflection?
| 3 |
Physics
|
Why does the sky appear dark instead
of blue to an astronaut?
| 3 |
Physics
|
Hydrogen is the element
on the earth.
A. most abundant
B. heaviest
c. lightest
D. none of these
| 1 |
Chemistry
|
Evaluate the following:
\( \left|\begin{array}{ccc}\boldsymbol{x} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \boldsymbol{x}\end{array}\right| \)
| 2 |
Maths
|
The distance of the point \( ,(-1,-5,-10) \) from the point intersection of the line,
\( \frac{x-2}{3}=\frac{y+1}{4}=\frac{z-2}{12} \) and the plane \( x- \)
\( \boldsymbol{y}+\boldsymbol{z}=\mathbf{5}, \) is
\( A \cdot 13 \)
B. 1
c. 12
D. none of these
| 2 |
Maths
|
A body is thrown up with an initial velocity \( u \) and covers a maximum
height of \( h, \) then h is equal to
\( ^{\mathrm{A}} \cdot \frac{u^{2}}{2 g} \)
в. \( \frac{u}{2 g g} \)
c. 2 ug
D. none of these
| 3 |
Physics
|
How is ore of aluminium concentrated?
A. Roasting
B. Leaching
C. Froth floatation
D. Using Wilfley table
| 1 |
Chemistry
|
The self ionisation constant for
HCOOH is \( 10 \%-6 \) what percentage
of \( H C O O H \) are converted to \( H C O O \)
ion. The density of \( H C O O H \) is \( 1.22 g \) \( \boldsymbol{m} \boldsymbol{L}^{-1} \)
| 1 |
Chemistry
|
If \( x \sqrt{1+y}+y \sqrt{1+x}=0, \) then \( \frac{d y}{d x} \) is
equal to
\( ^{A} \cdot \frac{1}{(1+x)^{2}} \)
B. \( \frac{-1}{(1+x)^{2}} \)
c. \( \frac{1}{(1-x)^{2}} \)
D. None of these
| 2 |
Maths
|
If the work done by the actor is \( y \mathrm{kJ} \), find
\( 2 y \)
| 3 |
Physics
|
Who among the following are associated with SONAR?
A. Sonograph
B. Engineers
c. Astronauts
D. Navigators
| 3 |
Physics
|
The enzyme involved in alcoholic
fermentation is
A. Pyruvate decarboxylase.
B. Alcohol dehydrogenase.
c. Lactate dehydrogenase.
D. Both A and B
| 0 |
Biology
|
Find the sum of \( C_{0}+3 C_{1}+3^{2} C_{2}+ \)
\( \ldots+3^{n} C_{n} \)
| 2 |
Maths
|
\( H-\operatorname{atom} \) is of \( _{-}-_{-}----k g \)
\( \mathbf{A} \cdot 1.675 \times 10^{-27} \)
B . \( 1.673 \times 10^{-27} \)
C \( \cdot 9.109 \times 10^{-31} \)
D. \( 3.348 \times 10^{-27} \)
| 3 |
Physics
|
Which of the following would you consider to prove that a plant is a
monocot?
A. Leaves with reticulate venation
B. Taproot system
c. Vascular bundles are closed
D. Presence of cambium
| 0 |
Biology
|
Eucalyptus plant possesses twiners.
A. True
B. False
| 0 |
Biology
|
In Rutherford's experiment, most of the alpha particles are observed to
A. Pass undeflecgtedd
B. Be deflected
c. Be thrown back
D. Be absorbed
| 3 |
Physics
|
Unpolarized light passes through two
polaroids, the axis of one is vertical and
that of the other is \( 30^{\circ} \) to the vertical.
What is the orientation and intensity of
the transmitted light?
A. Plane polarized at \( 60^{\circ} \) to the vertical and having intensity \( \frac{l_{0}}{4} \)
B. Plane polarized at \( 30^{\circ} \) to the vertical and having intensity of \( \frac{3 l_{0}}{8} \)
C. Plane polarized at \( 30^{\circ} \) to the vertical and having intensity \( \frac{l_{0}}{2} \)
D. No light passes
| 3 |
Physics
|
A catalyst can change the:
A. heat of reaction and the potential energy of the reactants
B. heat of reaction and the time it takes the reaction to
proceed
C . activation energy of the reverse reaction and the potential energy of the activated complex
D. potential energy of the reactants and the time it takes the reaction to proceed
E . activation energy of the forward reaction and the potential energy of the products
| 1 |
Chemistry
|
Check which function is bijective from \( Z \rightarrow Z \)
(A) \( f(x)=x^{3} \)
(B) \( f(x)=2 x+1 \)
| 2 |
Maths
|
For which of the following equations is
the change in enthalpy at \( 25^{\circ} \mathrm{C} \) and 1
atm equal to \( \Delta H_{f}^{o} \) of \( C H_{2} O(l) \)
A \( \cdot C(s)+H_{2}(g)+1 / 2 O_{2}(g) \rightarrow C H_{2} O(l) \)
B. \( C(s)+2 H_{2}(g)+1 / 2 O_{2}(g) \rightarrow 2 C H_{2} O(l) \)
c. \( C(g)+2 H_{2}(g)+O(g) \rightarrow C H_{2} O(l) \)
D. \( C O(g)+2 H_{2}(g) \rightarrow C H_{2} O(l) \)
| 1 |
Chemistry
|
Soda water contains:
A. carbonic acid
B. sulphuric acid
C. carboxylic acid
D. nitrous acid
| 1 |
Chemistry
|
Find the ratio of the following: \( (\operatorname{Max}(\mathrm{M}) \) \( +\operatorname{Max}(\mathrm{N})) /(\operatorname{Max}(\mathrm{K})+\operatorname{Max}(\mathrm{L})) \) where
Max denotes the maximum number of
electrons. \( K, L, M, N \) represent the shells.
A . 4
B. 5
\( c .6 \)
\( D .7 \)
| 1 |
Chemistry
|
In a fission process, nucleus A divides into two nuclei B and C, their binding
energies being \( \mathbf{E}_{\mathbf{a}^{*}} \quad \boldsymbol{E}_{\boldsymbol{b}} \) and \( \boldsymbol{E}_{\boldsymbol{c}} \)
respectively. Ihen
A \( \cdot \mathbf{E}_{\mathrm{b}}+\mathrm{E}_{\mathrm{c}}=\mathrm{E}_{\mathrm{a}} \)
в. \( \mathrm{E}_{\mathrm{b}}+\mathrm{E}_{\mathrm{c}}>\mathrm{E}_{\mathrm{a}} \)
c. \( \mathrm{E}_{\mathrm{b}}+\mathrm{E}_{\mathrm{e}}<\mathrm{E}_{\mathrm{a}} \)
D. \( \mathrm{E}_{\mathrm{b}} \mathrm{E}_{\mathrm{c}}=\mathrm{E}_{\mathrm{a}} \)
| 3 |
Physics
|
Prove that
\( n_{r+1}+2^{n} C_{r}+^{n} C_{r-1}= \)
| 2 |
Maths
|
Generally semiconductor can be used safely between the temperatures:
A . -75 and 200
B. 0 and 75
c. -25 and 300
D. -40 and 1000
| 3 |
Physics
|
Name the following compound. A salt which is used in the manufacture
of glass and detergent.
| 1 |
Chemistry
|
Find the time period of disc?
| 3 |
Physics
|
Which of the following is not a colligative property?
A. Osmotic pressure
B. Optical activity
c. Depression in Freezing point
D. Elevation in Boiling point
| 1 |
Chemistry
|
Which among the following represent the conjugate acid/base pairs? This question has multiple correct options
A \( \cdot H_{3} O^{+} / H_{2} O \)
в. \( H_{2} S O_{4} / S O_{4}^{2} \)
c. \( H C O_{3}^{-} / C O_{3}^{2} \)
D. All are conjugate acid/ base pairs
| 1 |
Chemistry
|
A ball of mass \( \mathrm{m} \) is thrown vertically upward from the ground and reaches a height h before momentarily coming to rest.If \( g \) is acceleration due to gravity,the impulse received by the ball due to gravity force during its flight is
\( \mathbf{A} \cdot \sqrt{2 m^{2} g h} \)
в. \( \sqrt{4 m^{2} g h} \)
\( \mathbf{c} \cdot \sqrt{8 m^{2} g h} \)
D. \( 4 \sqrt{m^{2} g h} \)
| 3 |
Physics
|
'Ozone layer' is located in
A. Troposphere
B. Hydrosphere
c. stratosphere
D. Lithosphere
| 0 |
Biology
|
At a particular temperature, the
equilibrium concentrations of the substances in the previous question
are as follows: \( \left[N O_{2} C l\right]=0.5 \mathrm{M},\left[C l_{2}\right]= \)
\( 0.3 \mathrm{M},\left[N O_{2}\right]=0.2 \mathrm{M} . \) What is the value
of the equilibrium constant for this reaction?
A . 2.
B. 0.48
c. 0.0357
D. 20.83
E. 208.83
| 1 |
Chemistry
|
Solve the equation:\( 9(2 x-y)^{2}-4(2 x-y)-13 \)
| 2 |
Maths
|
Assertion
\( \overrightarrow{\boldsymbol{E}}=\boldsymbol{E}_{\boldsymbol{x}} \hat{\boldsymbol{i}}+\boldsymbol{E}_{\boldsymbol{y}} \hat{\boldsymbol{j}}+\boldsymbol{E}_{z} \hat{\boldsymbol{k}}, \vec{\nabla} \times \overrightarrow{\boldsymbol{E}}=\mathbf{0} \)
Reason
\( E_{x}, E_{y}, E_{z} \) is independent.
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
|
What do you understand by isotopes? Given one example.
| 1 |
Chemistry
|
Fibrous and globular shapes comes under which structure of proteins?
A. Primary
B. Secondary
c. Tertiary
D. Quaternary
| 1 |
Chemistry
|
Calculate the torque developed (in \( \mathrm{Nm} \) by an airplane engine whose
output is \( 2000 H P \) at an angular
velocity of 2400 rev / min.
| 3 |
Physics
|
Which one is used for the formation of
nylon - 6, 6?
A. Sulphurous acid
B. Adipic acid
c. sulphur hexafluoride
D. Phthalic acid
| 1 |
Chemistry
|
Solve \( \int \frac{1}{\sin x \cos ^{3} x} d x \)
| 2 |
Maths
|
Identify phase in mitosis shown by :
centromeres split and thereby sister chromatids of each chromosome
separates and they are pulled apart in opposite direction.
A. Telophase
B. Prophase
c. Metaphase
D. Anaphase
| 0 |
Biology
|
The nuclear fission chain reaction is
initiated by the particle.
A. Proton
B. Neutron
c. Electron
D. Positron
| 3 |
Physics
|
Which of the following is correct?
A. Adsorption is always exothermic.
B. Adsorption is always endothermic.
C. Physical adsorption is endothermic whereas chemisorption is exothermic.
D. Chemical adsorption is endothermic whereas physical adsorption is exothermic.
| 1 |
Chemistry
|
The internal resistance of a dry cell is of the order of:
A. 0.2 to 0.4 ohm.
B. 1 to 1.4 Ohm.
c. 2 to 5 ohm.
D. 1 to 15 Ohm.
| 1 |
Chemistry
|
A line passes through (5,-6) and it is
parallel to \( y- \) axis.Find its equation.
| 2 |
Maths
|
By the action of conc. \( \boldsymbol{H} \boldsymbol{N O}_{3} \)
phosphorus changes to:
A. phosphorus acid
B. metaphosphoric acid
c. orthophosphoric acid
D. pyrophosphoric acid
| 1 |
Chemistry
|
In an equilibrium, the positive catalyst increases the rate of the forward
reaction while decreases the rate of the
backward reaction.
A. True
B. False
| 1 |
Chemistry
|
Assertion
White phosphorus is more reactive than
red phosphorus.
Reason
It readily catches fire in air to give
dense white fumes of \( \boldsymbol{P}_{4} \boldsymbol{O}_{10} \)
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 number of moles of \( K M n O_{4} \) that will be needed to react completely with
one mole of ferrour oxalate \( F e\left(C_{2} O_{4}\right) \) in acidic solution is :
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{2}{5} \)
\( c \cdot \frac{3}{5} \)
D.
| 1 |
Chemistry
|
During \( \beta- \) decay (beta minus), the
emission of antineutrino particle is supported by which of the following statement(s)?
This question has multiple correct options
A. Angular momentum conservation holds good in any nuclear reaction
B. Linear momentum conservation holds good in any nuclear reaction
C. The KE of emitted \( \beta- \)particle is varying continuously
to a maximum value
D. None of the above
| 3 |
Physics
|
Solve \( : \int_{0}^{2} x \sqrt{x+2} d x \)
| 2 |
Maths
|
State the whether given statement is true or false
Prove that the coefficient of xnxn
A. True
B. False
| 2 |
Maths
|
If a body is in equilibrium under a set of non-collinear forces, then the minimum
number of forces has to be:
A. Four
B. Three
c. Two
D. Five
| 3 |
Physics
|
Which product will obtained in the
following reaction?
Reaction: \( \boldsymbol{P}_{4_{(a)}}+\mathbf{3} \boldsymbol{N a O H}_{(a q)}+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \longrightarrow \)
\( \mathbf{A} \cdot P H_{3_{(a)}}+3 N a_{2} H P O_{2_{(a)}} \)
B. \( P H_{3_{(a)}}+3 N a H_{2} P O_{2_{l a q}} \)
C. \( 2 P H_{3_{(l)}}+3 N a_{2} H P O_{2_{l a}} \)
D. \( 2 P H_{3_{(l)}}+3 N a H_{2} P O_{2_{l a}} \)
| 1 |
Chemistry
|
\( \mathbf{A} \)
\( 2 m \) long rod of radius \( 1 c m \) which is
fixed from one end is given a twist of 0.8 radian. The shear strain developed will
be
\( \mathbf{A} \cdot 0.002 \)
B. 0.004
c. 0.008
D. 0.016
| 3 |
Physics
|
\( \boldsymbol{C H}_{3}-\boldsymbol{C} \equiv \boldsymbol{C H} \)
The IUPAC name of the compound is:
A. propane
B. propene
c. propyne
D. 1-methyl-propane
| 1 |
Chemistry
|
State whether given statement is True or False.
Electric potential at a point in an electric field is defined as the work done
in moving a unit positive charge from infinity to that point.
A. True
B. False
| 3 |
Physics
|
Total number of bones in appendicular skeleton of rabbit is
A . 128
B. 120
\( c \cdot 80 \)
D. 37
| 0 |
Biology
|
It is found in phosphorus and nitrogen
A. inorganic impurities
B. bacteria
c. nutrients
D. other microbes
| 1 |
Chemistry
|
Let \( \boldsymbol{f}(\boldsymbol{x}+\boldsymbol{y})=\boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{f}(\boldsymbol{y}), \forall \boldsymbol{x}, \boldsymbol{y} \in \boldsymbol{R} \)
suppose that \( \boldsymbol{f}(\mathbf{3})=\mathbf{3}, \boldsymbol{f}^{\prime}(\mathbf{0})=\mathbf{1 1}, \) then
\( f^{\prime}(3) \) is given by
A .22
B. 44
c. 28
D. 33
| 2 |
Maths
|
What is best pH of soil for cultivation?
A. 3.4 to 5.44
B. 5 to 5.5
c. 5.5 to 6.5
D. 6.5 to 7.5
| 0 |
Biology
|
If positively charged pendulum is oscillating in a uniform electric field as shown in figure. Its time period as compared to that when it was
uncharged:
A. will increase
B. will decreas
c. will not change
D. will first increase then decreas
| 3 |
Physics
|
\( \int \tan ^{-1} x d x=-1 \)
A. \( x \tan ^{-1} x+\frac{1}{2} \log \left|\frac{\tan ^{-1} x}{x^{2}+1}\right| \)
S. \( x \tan ^{-1} x-\frac{1}{2} \log \left|x^{2}+1\right| \)
C. \( x \tan ^{-1} x+\frac{1}{2} \log \left|x^{2}+1\right| \)
| 2 |
Maths
|
If \( 3 x^{2}+4 k x+1>0 \) for all real values
of \( x, \) then \( k \) lies in the interval.
A \( \cdot\left(\frac{-\sqrt{3}}{2}, \frac{\sqrt{3}}{2}\right) \)
в. \( \left(\frac{-1}{4}, \frac{1}{4}\right) \)
\( ^{c} \cdot\left[\frac{-\sqrt{3}}{2}, \frac{\sqrt{3}}{2}\right] \)
D. \( \left(\frac{-1}{2}, \frac{1}{2}\right) \)
| 2 |
Maths
|
\( \int \frac{d x}{9+16 \sin ^{2} x} \) is equal to
A \( \cdot \frac{1}{3} \tan ^{-1}\left(\frac{3 \tan x}{5}\right)+c \)
B \( \cdot \frac{1}{5} \tan ^{-1}\left(\frac{\tan x}{15}\right)+c \)
c. \( \frac{1}{15} \tan ^{-1}\left(\frac{\tan x}{5}\right)+c \)
D. \( \frac{1}{15} \tan ^{-1}\left(\frac{5 \tan x}{3}\right)+c \)
| 2 |
Maths
|
Identify the electronic configuration of an element whose atomic radii is determined by taking half the internuclear distance between like
atoms.
\( \mathbf{A} \cdot[H e] 2 s^{2} 2 p^{5} \)
B . \( [A r] 4 s^{2} \)
c. \( [N e] 3 s^{2} \)
D \( \cdot[K r] 4 d^{5} 5 s^{2} \)
| 1 |
Chemistry
|
The vectors \( \bar{a}, \bar{b}, \bar{c} \) are of the same length and taken pair wise, they form equal angles. If \( \bar{a}=\bar{i}+\bar{j} \) and \( \bar{b}=\bar{j}+\bar{k} \)
then the components of \( \bar{c} \) are?
A. (1,0,1)
в. (1,2,3)
c. (-1,1,2)
D. (-1,4,1)
| 2 |
Maths
|
What are the differences between
inherited and acquired characters?
A. Inherited characters- characters that are passed on from parents to offspring. Acquired characters- characters appearing in an individual's lifetime but cannot be transmitted to next
generation.
B. Inherited characters- characters appearing in an individual's lifetime but cannot be transmitted to next
generation. Acquired characters- characters that are passed on from parents to offspring.
C. Inherited characters- characters that are passed on from offspring to parents. Acquired characters- characters appearing in an individual's lifetime but cannot be transmitted to next generation.
D. Inherited characters- characters that are passed on from offspring to parents. Acquired characters- characters appearing in an individual's lifetime and can be transmitted to next
generation.
| 0 |
Biology
|
Find \( \frac{d y}{d x} \) if \( x=a(\cos \theta+\theta \sin \theta) \). and
\( \boldsymbol{y}=\boldsymbol{a}(\sin \theta-\boldsymbol{\theta} \cos \boldsymbol{\theta}) \)
| 2 |
Maths
|
Electrochemical equivalent is the amount of substance which gets deposited from its solution on passing
electrical charge equal to :
A. 96,500 coulomb
B. 1 coulomb
c. 60 coulomb
D. 965 coulomb
| 1 |
Chemistry
|
Because they have different boiling points, the substances in crude oil can
be separated using:
A. chromatography
B. fractional distillation
c. sublimation
D. vacuum distillation
| 1 |
Chemistry
|
At sea level, atmospheric pressure is:
A. 76 cm of Hg column
B. 760 cm of Hg column
c. \( 0.76 \mathrm{cm} \) of \( \mathrm{Hg} \) column
D. 76 cm of water column
| 3 |
Physics
|
Choose the correct answers from the
alternatives given Which of the following archaea would live at a deep-sea vent?
A. Thermoacidophile
B. Halophile
c. Methanogen
D. Parasitic forms
| 0 |
Biology
|
Check the distributive property for the
stated triples of rational numbers:
\( \frac{1}{8}, \frac{1}{9}, \frac{1}{10} \)
| 2 |
Maths
|
\( \boldsymbol{I}=\int \frac{1}{\boldsymbol{x}(1+\log \boldsymbol{x})} \cdot \boldsymbol{d} \boldsymbol{x} \)
| 2 |
Maths
|
\( \boldsymbol{R}=\frac{\boldsymbol{x}}{\boldsymbol{3}} \frac{\boldsymbol{P}_{c} \boldsymbol{V}_{c}}{\boldsymbol{T}_{c}} \)
Value of \( x \) is
| 1 |
Chemistry
|
In the following graphical
representation for the reaction \( \boldsymbol{A} \rightarrow \boldsymbol{B} \)
there are two types of regions:
A. I and II both represent kinetic region at different interva
B. I and II both represent equilibrium regions at different time interval
c. I represents kinetic while I I represents equilibrium region
D. I represents equilibrium while II represents kinetic region
| 1 |
Chemistry
|
The standard reduction potential at \( 25^{\circ} \)
\( \mathrm{C} \) for the reduction of water
\( 2 H_{2} O+2 e^{-} \rightleftharpoons H_{2}+2 O H^{-} \) is -0.8277
volt. Calculate the equlibrium constant for the reaction \( 2 H_{2} O \rightleftharpoons H_{3} O^{+}+ \)
\( O H^{-} \) at \( 25^{0} C \)
| 1 |
Chemistry
|
If the length of DNA strand is \( 68 A^{\circ} \) then, what will be the number of nucleotides
present in DNA molecule
A . 20
B. 40
\( c \cdot 60 \)
D. 80
| 0 |
Biology
|
Suppose elements \( X \) and \( Y \) combine to
form two compounds \( X Y_{2} \) and \( X_{3} Y_{2} \)
when 0.1 mole of former weight \( 10 g \)
while 0.05 mole of the latter weighs \( 9 g \)
What are the atomic weights of \( X \) and
\( Y ? \)
A. 40,30
B. 60,40
c. 20,30
D. 30,20
| 1 |
Chemistry
|
The major product obtained in the photo catalysed bromination of 2 methylbutane is:
A. 1-bromo-2-methylbutane
B. 1-bromo-3-methylbutane
c. 2 -bromo- -s-methylbutane
D. 2-bromo-2-methylbutane
| 1 |
Chemistry
|
In a town of 10,000 families it was found that \( 40 \% \) families buy newspaper A, \( 20 \% \) families buy newspaper \( B \) and 10
\( \% \) families buy newspaper \( C .5 \% \) families buy A and B, 3\% buy B and C
and \( 4 \% \) buy \( A \) and \( C . \) If \( 2 \% \) families buy
all the three newspaper, the member of families which buy A only is
| 2 |
Maths
|
The moment of inertia of a uniform
semicircular disc of mass \( M \) and
radius \( R \) about a line perpendicular to the plane of disc and passing through the centre is :
\( ^{\mathrm{A}} \cdot \frac{M R^{4}}{4} \)
в. \( \frac{2}{5} M R^{2} \)
c. \( M R^{2} \)
D. \( \frac{M R^{2}}{2} \)
| 3 |
Physics
|
The difference in angular momentums associated with an electronic transition
in hydrogen atom is equal to \( 3 h / 2 \pi . \) The atom contains only \( \mathrm{K}, \mathrm{L}, \mathrm{M} \) and \( \mathrm{N} \) shells. Calculate the energies and radii associated with the orbits.
A. -13.6 ev and 0.314 Angstrom, 0.08 eV and 8.48 Angstrom
B. -13.6 eV and 0.529 Angstrom, - 0.08 eV and 8.48 Angstrom
c. 13.6 ev and 0.529 Angstrom, 0.08 eV and 8.48 Angstromm
D. 27.2 eV and 0.529 Angstrom, 0.08 eV and 8.48 Angstrom
| 1 |
Chemistry
|
The moment of inertia of a solid cylinder
about its own axis is the same as its
moment of inertia about an axis
passing through its centre of gravity and perpendicular to its length.The relation between its length \( L \)
and radius \( \boldsymbol{R} \) is:
A. \( L=\sqrt{2} R \)
В. \( L=\sqrt{3} R \)
c. \( L=3 R \)
D. \( L=R \)
| 3 |
Physics
|
Which formulae does not correctly
represents the bonding capacity of the
atom involved?
This question has multiple correct options
\( A \)
\( \mathrm{CH}_{3} \mathrm{C}=\mathrm{CCH}_{3} \)
B.
\( c \)
\( D \)
| 1 |
Chemistry
|
\( A, B \) and \( C \) are parallel conductors of
equal lengths carrying currents \( \boldsymbol{I}, \boldsymbol{I} \) and
\( 2 I \) respectively. Distance between \( A \)
and \( B \) is \( x . \) Distance between \( B \) and \( C \)
is also \( x . F_{1} \) is the force exerted by \( B \) on
\( A . F_{2} \) is the force exerted by \( C \) on \( A \)
Choose the correct answer.
\( \mathbf{A} \cdot F_{1}=2 F_{2} \)
B . \( F_{2}=2 F_{1} \)
\( \mathbf{c} \cdot F_{1}=F_{2} \)
D. \( F_{1}=-F_{2} \)
| 3 |
Physics
|
Organic compounds can be formed by :
A. Plants only
B. Animals only
c. Plants and Animals
D. Plants, animals and can be synthesized in laboratory
| 1 |
Chemistry
|
By what smallest number should we
divide 9000 so that the quotient
becomes a perfect cube. Find the cube
root of the quotient
A . 9,10
B. 9,
\( c \cdot 19,10 \)
D. 19, 5
| 2 |
Maths
|
\( P \) is a point on side \( B C \) of \( a \) parallelogram ABCD. If DP produced meets \( A B \) produced at point \( L \), then \( D L: D P=A L: B C \)
If the above statement is true then
mention answer as 1 , else mention 0 if
false
| 2 |
Maths
|
If \( \alpha, \beta \) are zeroes of polynomial \( f(x)= \) \( x^{2}+p x+q \) then polynomial having \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) as its zeroes is:
A \( \cdot x^{2}+q x+p \)
B. \( x^{2}-p x+q \)
c. \( q x^{2}+p x+1 \)
D. \( p x^{2}+q x+1 \)
| 2 |
Maths
|
If \( \vec{a}, \vec{b}, \vec{c} \) are three vectors such that \( \vec{a}, \vec{b}, \vec{c}, \) then prove that \( \vec{a} \times \vec{b}=\vec{b} \times \vec{c}= \)
\( \vec{c} \times \vec{a}, \) and hence show that \( [\overrightarrow{\boldsymbol{a}} \overrightarrow{\boldsymbol{b}} \overrightarrow{\boldsymbol{c}}]=\mathbf{0} \)
| 2 |
Maths
|
Negation of "A is in Class \( X^{t h} \) or \( \mathrm{B} \) is in
\( X I I^{t h \prime \prime} \) is
A. A is not in class \( X^{t h} \) but \( B \) is in \( X I I^{t h}^{h} \)
C. Either A is not in class \( X^{t h} \) or \( B \) is not in \( X I I^{t^{t}} \)
D. None of these.
| 2 |
Maths
|
Find Square of : 46
| 2 |
Maths
|
Eka-aluminium forms oxide of the type :
\( A \cdot E_{2} O \)
B. \( E O \)
\( \mathrm{c} \cdot E_{2} \mathrm{O}_{3} \)
D. \( E_{3} O_{4} \)
| 1 |
Chemistry
|
Which of the following statement(s)
is/are correct?
A. Reversible isothermal compression of an ideal gas represents the limiting minimum value of workdone \( (|w|) \) by the surrounding on the system.
B. In an irreversible process, the cyclic integral of work is not zero
C. For thermodynamic changes in adiabatic process \( T \frac{C_{p . m}}{R} . P=\mathrm{constant} \)
D. Work done by 1 mole of a real (vander waals) gas \( W=-R T / n \frac{V_{2}-b}{V_{1}-b}-a\left[\frac{V_{1} \times V_{2}}{V_{2}-V_{1}}\right] \)
| 1 |
Chemistry
|
Why is mercury used as a barometer
liquid. Give three reasons.
| 3 |
Physics
|
Movement of minerals in plant roots
through diffusion is
A. Endosmosis
B. Osmosis
c. Active absorption
D. Passive absorption
| 0 |
Biology
|
A particle is dropped from top tower.During its motion its covers \( \frac{\mathbf{9}}{\mathbf{2 5}} \) part of height of tower in last \( 1 . \) then height of tower?
\( \mathbf{A} \cdot 100 m \)
B. \( 125 m \)
c. \( 175 m \)
D. \( 120 m \)
| 3 |
Physics
|
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