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Covalent bonds are non-directional
bonds.
A. True
B. False | 1 | Chemistry |
What is labelled as A and what is the pH
of media A?
A . Nutrient solutions with essential minerals with pH
B. Nutrient solutions with essential minerals with pH
c. Water with essential minerals with \( \mathrm{pH} \) 7
D. water with pH7 | 0 | Biology |
Which of the following contains Actinomycetes?
A. Kingdom Fungi
B. Kingdom Moneraara
c. Kingdom Plantae
D. Kingdom Protoctista | 0 | Biology |
The diameter of a solid disc is \( 0.5 m \) and
its mass is \( 16 k g \)
At what rate is the work done by the torque at the end of eighth second?
\( \mathbf{A} \cdot \pi W \)
в. \( \pi^{2} W \)
\( \mathbf{c} \cdot \pi^{3} W \)
D. \( \pi^{4} W \) | 3 | Physics |
A body of mass \( m \) starts moving with
velocity \( V_{0} \) at point \( A \) on a frictionless
path as shown in the figure.
The speed of the body at point \( B \) will be:
A \( . \) zero
B. \( V_{0} \)
c. \( \frac{v_{0}}{2} \)
D. \( 2 V_{0} \) | 3 | Physics |
Select the correct answer from \( A, B, C, D \)
and E for each of the metals given below
A metal present in duralumin but not in magnalium.
A. A: Aluminium
B. B :Copper
c. \( c: \) Lead
D. D: Potassium
E. E : Iron
F. F: manganese | 1 | Chemistry |
Find the value of an inductance which
should be connected in series with a
capacitor of \( 5 \mu F, \) a resistance of \( 10 \Omega \)
and an ac source of \( 50 H z \) so that the
power factor of the circuit is unity.
A \( \cdot \frac{20}{\pi^{4}} \)
в. \( \frac{20}{\pi^{2}} \)
c. \( \frac{20}{\pi^{3}} \)
D. \( \frac{20}{\pi^{5}} \) | 3 | Physics |
What current density is required to
provide a pressure difference of 1 atm
between any two points if \( B=2.2 T \) and
\( l=35 m m \)
A \( .1 .4 \times 10^{3} \mathrm{Am}^{-2} \)
в. \( 7.2 \times 10^{6} \) Ат \( ^{-} \)
c. \( 1.3 \times 10^{5} \mathrm{Am}^{-2} \)
D. \( 1.3 \times 10^{6} \mathrm{Am}^{-2} \) | 3 | Physics |
enzymes have heme as a
prosthetic group.
(i) Catalase
(ii) Carboxypeptidase
(iii) Succinic dehydrogenase
(iv) Peroxidase
\( A \). (i) only
B. (i) and (ii) only
c. (ii) and (iii) only
D. (iii) and (iv) only
E. (i) and (iv) only | 0 | Biology |
If mean and variance of 7 variates are 8
and 16 respectively and five of them are 2,4,10,12,14 then find the product of remaining two variates
\( \mathbf{A} \cdot 49 \)
B. 48
c. 45
D. 40 | 2 | Maths |
A student has to secure \( 40 \% \) marks to
pass. He gets 40 marks and fails by 40 marks. The maximum number of marks
is
A . 200
B. 160
\( c \cdot 180 \)
D. 320 | 2 | Maths |
In Young's interference experiment, if
the slits are of unequal width, then
A. no fringes will be formed
B. the positions of minimum intensity will not be completely dark
C. bright fringe as displaced from the original central position
D. distance between two consecutive dark fringes will not be equal to the distance between two consecutive right fringes. | 3 | Physics |
Let \( R \) be arelation on the set \( A \), then \( R \)
is symmetric. Prove that \( \boldsymbol{R}^{-1} \) is symmetric. | 2 | Maths |
The value of atomic number(z) is: | 1 | Chemistry |
Find the total surface area of a cuboid
whose length, breadth and height are 20 \( \mathrm{cm}, 12 \mathrm{cm} \) and \( 9 \mathrm{cm} \) respectively | 2 | Maths |
During an explosion, a large amount of is given out | 1 | Chemistry |
In a meter bridge experiment, we try to
obtain the null point at the middle. This
reduces:
A. systematic error as well as random errors
B. systematic error but not the random error
c. random error but not the systematic error
D. neither systematic error nor the random error | 3 | Physics |
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \max \{1+\sin x, 1,1-\cos x\}, x \in \)
\( [0,2 \pi] \) and \( g(x)= \)
\( \max \{1,|x-1|\}, x \in R, \) then
This question has multiple correct options
A. \( g(f(0))=1 \)
B. \( g(f(1))=1 \)
c. \( f(g(1))=1 \)
D. \( f(g(0))=\sin 1 \) | 2 | Maths |
A metal sheet \( 27 \mathrm{cm} \) long, \( 8 \mathrm{cm} \) broad
and \( 1 \mathrm{cm} \) thick is melted to form a cube
The difference between the surface
areas of the two solids is
A \( \cdot 284 \mathrm{cm}^{2} \)
B . \( 286 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 296 \mathrm{cm}^{2} \)
D. \( 280 \mathrm{cm}^{2} \) | 2 | Maths |
A closed water tank has internal size of
\( 10 m \times 15 m \times 20 m . \) It needs to be lined
with waterproofing cement on all its internal side. At the rate of Rs.
250 per \( m^{2}, \) the total cost of lining will
be Rs.
A. 237,500
0
в. 325,000
c. 400,000
D. 475,000 | 2 | Maths |
Which one of the following is a sign of water scarcity?
A. Dried fields having cracks on them
B. Nutrient deficient plants
C. Struggle to obtain water from bore wells
D. All of the above | 1 | Chemistry |
If \( \frac{\pi}{3} \) and \( \frac{\pi}{4} \) are the arguments of \( z_{1} \) and
\( \bar{z}_{2}, \) then the value of \( \arg \left(z_{1} z_{2}\right) \) is
A \( \cdot \frac{5 \pi}{12} \)
в. \( \frac{\pi}{12} \)
c. \( \frac{7 \pi}{12} \)
D. None of these | 2 | Maths |
Find the common difference of an AP.
whose first term is 100 and the sum of
whose first six terms is five times the
sum of the next six terms.
A . 10
B. -10
\( c .5 \)
D. - 5 | 2 | Maths |
Simplify \( \frac{2 x+7}{5}-\frac{3 x-11}{2}=\frac{2 x+8}{3}-5 \) | 2 | Maths |
The figure shown speed-time graph of a
car
Calculate displacement from the
graph? | 3 | Physics |
If the cell of an organism heterozygous for two pairs of genes represented by \( x x, z z \) undergoes meiosis, then the
possible genotypic combination of
gametes will be
A. \( x z ; x z ; x z ; x z \)
B. \( x z ; x z ; x z \)
c. \( x x ; Z z ; x z \)
D. Data incomplete | 0 | Biology |
Chipko movement originated in
A. Silent Valley of Kerala
B. Kangra Valley of Himachal Pradesh
C. Tehri Garwal of U.P
D. Pachmari of M.P | 0 | Biology |
Let \( [x] \) denote the integral part of \( x \in \) \( \boldsymbol{R}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{x}-[\boldsymbol{x}] . \) Let \( \boldsymbol{f}(\boldsymbol{x}) \) be any
continuous function with \( \boldsymbol{f}(\mathbf{0})=\boldsymbol{f}(\mathbf{1}) \)
then the function \( h(x)=f(g(x)) \)
A. has finitely many discontinuities
B. is discontinuous at some \( x=c, c \in I \)
c. is continuous on \( R \)
D. is a constant function | 2 | Maths |
Find the direction cosines of the vector
joining the point \( A(1,2,-3) \) and \( B(-1,-2,1), \) directed from \( A \) and \( B \) | 2 | Maths |
\( \mathbf{f}\left|\begin{array}{ccc}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{a} \boldsymbol{\alpha}+\boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{b} \boldsymbol{\alpha}+\boldsymbol{c} \\ \boldsymbol{a} \boldsymbol{\alpha}+\boldsymbol{b} & \boldsymbol{b} \boldsymbol{\alpha}+\boldsymbol{c} & \boldsymbol{0}\end{array}\right|=\mathbf{0} . \) Prove
that \( a, b, c \) are in G.P. or \( \alpha \) is a root of
\( \boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{b} \boldsymbol{x}+\boldsymbol{c}=\mathbf{0} \) | 2 | Maths |
The distance of two planets (Neptune and Saturn) from the sun are \( 10^{13} m \)
and \( 10^{12} m \) respectively. Find the ratio of
the time periods of the planets.
A . 100: 1
B. \( 1: \sqrt{10} \)
\( c \cdot \sqrt{10}: 1 \)
D. \( 10 \sqrt{10}: 1 \) | 3 | Physics |
If \( n \) equal resistors are first connected
in series and then parallel, what will be the ratio of the maximum to minimum
resistance?
A \( . n \)
B . \( 1 / n^{2} \)
\( c \cdot n^{2} \)
D. \( 1 / n \) | 3 | Physics |
The element having greatest difference between its first and second ionization
energies is:
A. \( C a \)
в. \( K \)
\( c . B a \)
D. \( S e \) | 1 | Chemistry |
Assertion
The only element that dissipates energy in an ac circuit is the resistive element
Reason
There are no power losses associated
with pure capacitances and pure inductances in an ac circuit
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 |
If \( \tan \theta=\frac{x \sin \phi}{1-x \cos \phi}, \tan \phi= \)
\( \frac{y \sin \theta}{1-y \cos \theta}, \) then \( \frac{x}{y}= \)
A. \( \frac{\sin \phi}{\sin \theta} \)
B. \( \sin \theta \)
sin \( \phi \)
c. \( \frac{1-\cos \phi}{1-\cos \theta} \)
D. \( \frac{1-\cos \theta}{1-\cos \phi} \) | 2 | Maths |
In mitochondrion, the proton gradient required for ATP synthesis develops
across
A. Inner membrane
B. Inter membrane space
c. Outer membrane
D. \( F_{0}-F_{1} \) particles | 0 | Biology |
Which of the following compounds has zero dipole moment?
A. 1,4 - dichlorobenzene
B. 1, 2 - dichlorobenzene
c. 1,3 - dichlorobenzene
D. 1 - chloro - 2 - methyl benzene | 1 | Chemistry |
Let \( f(x)=\sqrt{3 x-3} \) and \( c \) be the
number that satisfies the Mean value
theorem for \( f \) on the interval [4,13] What is the value of \( c \) ?
A . 11.5
в. 7.75
c. 7.5
D. 5.5 | 2 | Maths |
The species having bond order different
from that in CO is:
A . \( N O \)
B. \( N O^{+} \)
c. \( C N^{-} \)
D. \( N_{2} \) | 1 | Chemistry |
The difference between the mass
number and the atomic number gives
the
A. number of neutrons
B. number of electrons
c. charge of an element
D. number of protons | 1 | Chemistry |
The truth table for NOT gate is
\( A \)
\[
\left[\begin{array}{ll}
1 & 1 \\
0 & 0
\end{array}\right]
\]
B.
\[
\left[\begin{array}{ll}
1 & 0 \\
0 & 0
\end{array}\right]
\]
c.
\[
\left[\begin{array}{ll}
1 & 0 \\
0 & 1
\end{array}\right]
\]
D.
\[
\left[\begin{array}{ll}
0 & 1 \\
1 & 1
\end{array}\right]
\] | 3 | Physics |
Express the sexagesimal measure \( 15^{\circ} \)
as radian measure | 2 | Maths |
11. If
with different initial concentrations of \( \mathbf{A} \)
and \( \mathrm{B} \), the initial rate of reaction were
determined graphically in four
experiments. Find the rate of reaction \( (r \)
)
\( A \)
\( r=k[A]^{2}[B]^{2} \)
\( \mathbf{B} \cdot r=k[A]^{2}[B] \)
\( \mathbf{c} \cdot r=k[A][B]^{2} \)
D. \( r=k[A][B \) | 1 | Chemistry |
If we suspend lamina at different positions, its center of gravity will still lie along the :
A. plumb line
B. line of force
c. line of weight
D. gravity line | 3 | Physics |
The present population of a town is \( 35,000 . \) If the population becomes
35,700 next year, the rate of growth is
A . \( 2 \% \)
B. 20\%
c. \( 70 \% \)
D. \( 7 \% \) | 2 | Maths |
The equivalent conductances of two strong electrolytes at infinite dilution in
\( H_{2} O \) (where ions move freely through a
solution) at \( 25^{\circ} \mathrm{C} \) are given below
\[
\boldsymbol{C H}_{3} \boldsymbol{C O O N a}=91.0 \boldsymbol{S c m}^{2} / \boldsymbol{e q u i v}
\]
\( H C l=426.2 \mathrm{Scm}^{2} / \)equiv
What additional information/quantity one needs to calculate the equivalent conductances an aqueous solution of acetic acid?
A. The limiting equivalent conductance of Naç
B. The limiting equivalent conductance of \( \mathrm{CH}_{3} \mathrm{COOH} \)
C. The limiting equivalent conductance of \( \mathrm{H}^{+} \)
D. The limiting equivalent conductance of chloroacetic \( \operatorname{acid}\left(\mathrm{ClCH}_{2} \mathrm{COOH}\right) \) | 1 | Chemistry |
State whether the given statement is
True or False :
The energy of an object that is due to the object's motion is called kinetic
energy.
A. True
B. False | 3 | Physics |
In which of the following animal dimorphic nucleus is found
A. Amoeba proteus
B. Plasmodium vivax
c. Paramecium coudatum
D. Trypanosoma gambiense | 0 | Biology |
If \( f(x)=x+2, g(x)=x^{2}-x-2 \)
then find \( \frac{g(1)+g(2)+g(3)}{f(-4)+f(-2)+f(2)} \) | 2 | Maths |
The system of classification based on evolutionary and genetic relationships among organisms, ignoring the morphological similarities or differences, is called as
A. Cladistics
B. Phenetics
c. classical systematics
D. New systematics | 0 | Biology |
Metal which give out a musical note when struck are called
A. ductile
B. sonorous
c. malliable
D. all of these | 1 | Chemistry |
Q Type your question
Why
given under Column-II. Select the
correct choice from those given below:
Column Column - I (Contraceptive Method)
Tubectomy
\( A \)
Chemical \( \quad \) p. \( \quad \) and Vasectomy
B. IUDS Copper T and
q. \( \quad \) Loop
\( \mathrm{C} \)
Barriers Condom and
Cervical cap
Spermicidal
D. Sterilization
s. \( \quad \) Jelly and foam
Coitus
\( \mathrm{t} \)
interruptus
and calendar and calendar and calen
method
\( A \cdot A=s, B=q, C=r, D=p \)
B. \( A=s, B=t, C=q, D=r \)
\( C \cdot A=p, B=r, C=q, D=t \)
D. \( A=s, B=q, C=t, D=p \) | 0 | Biology |
The price of a garment has been reduced by \( 15 \% \) in a sale to Rs. 306 Find its original price. | 2 | Maths |
\( \boldsymbol{p}(\boldsymbol{x})=\left(\boldsymbol{x}^{2}-\mathbf{1 0} \boldsymbol{x}-\mathbf{2 4}\right), \) when divided
by \( x+2 \) and \( x \neq-2 \) gives the quotient
Q. Find \( Q \)
A . \( x-22 \)
B. \( x-12 \)
c. \( x+12 \)
D. \( x+22 \) | 2 | Maths |
\( \int \frac{(\sin x)^{99}}{(\cos x)^{101}} d x=-\ldots-\ldots+c \)
A \( \cdot \frac{(\tan x)^{97}}{97} \)
в. \( \frac{\tan x}{2} \)
C \( \cdot \frac{(\tan x)^{100}}{100} \)
D. \( \frac{(\tan x)^{98}}{98} \) | 2 | Maths |
Solve :
\( 3 x-2 y=1 \)
\( \mathbf{2} \boldsymbol{x}+\boldsymbol{y}=\mathbf{3} \) | 2 | Maths |
Assertion
\( N_{2} \) is adsorbed on iron surface at \( 83 \mathrm{K} \)
which decreases rapidly with increase
in temperature and at room temperature, practically no adsorption
of \( N_{2} \) occurs. The adsorption, however,
becomes significant at \( 773 \mathrm{K} \)
Reason
At lower temperature, adsorption of \( N_{2} \)
molecules on iron surface is
physisorption and at high
temperatures, \( N_{2} \) shows chemisorption
of \( N \) atoms on iron surface.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct | 1 | Chemistry |
In basic medium, which of the following
colour is obtained when
phenolphthalein is added?
A. Pink
B. Colourless
c. Yellow
D. Green | 1 | Chemistry |
A student noted that the number of cars
passing through the spot on the road for 200 periods each of 10 minutes and
summarized in a table given below. Find
the mode of the data.
Number \( \begin{array}{ll}5- & 1 \\ 10 & 1\end{array} \)
\( \mathbf{n} \)
5
\( 20- \)
of cars 15 20 25
frequency 12 1. If 24 \( 15 \quad 10 \)
A . 15.5
B. 20.50
c. 25.45
D. 19.4 | 2 | Maths |
Find the period of \( f(x)=[\sin 3 x]+ \)
\( |\cos 6 x| \) where \( [.] \) is a greatest integer
function and / is a modulus function. | 2 | Maths |
Evaluate : \( \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\boldsymbol{d x}}{1+\sqrt{\tan x}} \)
A \( \cdot \frac{\pi}{4} \)
в.
c. \( \frac{\pi}{12} \)
D. | 2 | Maths |
An arc of radius r carries change. The linear density of charge is \( \lambda \) and the arc
subtends a angle \( \frac{\pi}{3} \) at the center. What
is electric potential at the center
\( ^{A} \cdot \frac{\lambda}{4 \varepsilon_{0}} \)
в. \( \frac{\lambda}{8 \varepsilon_{0}} \)
\( c \cdot \frac{\lambda}{12 \varepsilon_{0}} \)
D. \( \frac{\lambda}{16 \varepsilon_{0}} \) | 3 | Physics |
In a nuclear reactor, nuclear energy is
converted into | 3 | Physics |
Arrange the following alkanes in the increasing order of their boiling point:
pentane, hexane, \( 2-3- \) dimethyl \( - \)
butane
A. pentane \( <2,3 \) - dimethylbutane \( < \) hexane
B. hexane \( <2,3 \) - dimethylbutane \( < \) pentane
c. pentane \( < \)hexane\( <2,3 \) - dimethylbutane
D. none of the above | 1 | Chemistry |
Which one is partially submerged and fixed in mud
A. Marsilea
B. Cyperus
c. Eichhornia
D. Typha | 0 | Biology |
Column I gives some devices and Column II gives some process on which the functioning of these devices depend Match the devices in Column I with the
processes in Column II and indicate
your answer by darkening appropriate bubbles in the 44 matrix given in the
ORS. | 3 | Physics |
Two loudspeakers \( L_{1} \) and \( L_{2} \) driven by a
common oscillator and amplifier, are
arranged as shown. The frequency of the oscillator is gradually increased from
zero and the detector at \( D \) records a
series of maxima and minima. If the
speed of sound is 330 ms \( ^{-1} \) then the frequency at which the first maximum
is observed is:
A. \( 165 \mathrm{Hz} \)
В. \( 330 H z \)
\( \mathbf{c} \cdot 495 H z \)
D. \( 660 H z \) | 3 | Physics |
At the same conditions of pressure,
volume and temperature, work done is maximum for which gas if all gases
have equal masses?
A \( . N H_{3} \)
в. \( N_{2} \)
\( c \cdot C l_{2} \)
D. \( H_{2} S_{S} \) | 1 | Chemistry |
The area(in sq. units) of the smaller portion enclosed between the curves, \( x^{2}+y^{2}=4 \) and \( y^{2}=3 x, \) is
A \( \cdot \frac{1}{\sqrt{3}}+\frac{4 \pi}{3} \)
в. \( \frac{1}{2 \sqrt{3}}+\frac{\pi}{3} \)
c. \( \frac{1}{2 \sqrt{3}}+\frac{2 \pi}{3} \)
D. \( \frac{1}{\sqrt{3}}+\frac{2 \pi}{3} \) | 2 | Maths |
What is the scientific name of human
being?
A. Homo sapiens
B. Rana tigrina
c. Pavo cristatus
D. Brassica rapa | 0 | Biology |
The numbers 2.745 and 2.735 on
rounding off to 3 significant figures will give:
A. 2.75 and 2.74
B. 2.74 and 2.73
c. 2.75 and 2.73
D. 2.74 and 2.74 | 3 | Physics |
The lines of symmetry in the double-
headed arrow AB are
\( A \)
B. 1
\( c \)
\( D \) | 2 | Maths |
\( \vec{B}=-(0.31 T) \hat{i} \) what will be the angle between \( \hat{\text { iand }} \) B. (length of wire is 0.01m)
A .
в. \( (0.01085 N) \hat{k} \)
c. \( (-0.01085 N) \hat{k} \)
D. \( (0.01085 N) \hat{i} \) | 3 | Physics |
\( Q \) amount of electric charge is present
on the surface of a sphere having radius
\( \boldsymbol{R} \). Then electrical potential energy of this system is
\( \mathbf{A} \cdot \frac{K Q^{2}}{R^{2}} \)
в. \( \frac{K Q^{2}}{R} \)
c. \( \frac{1}{2} \frac{K Q^{2}}{R} \)
D. \( \frac{1}{2} \frac{K Q^{2}}{R^{2}} \) | 3 | Physics |
The substance used for preparing electro
magnets is :
A. soft iron
B. steel
c. nickel
D. copper | 3 | Physics |
The solubility of II group hydroxides
increases with molecular weight. This is
because:
A. lattice energy is same but hydration energy decreases down the group.
B. hydration energy is same but lattice energy decreases down the group
C. both lattice and hydration energy increase down the group
D. decrease in lattice energy down the group is faster than decrease in hydration energy. | 1 | Chemistry |
A jeep carries trailor on a level road at constant speed of \( 10 \mathrm{m} / \mathrm{sec} \) calculate
the power excerted on the trailer if the
tension in the coupling is 2000 Newton? | 3 | Physics |
\( A t 46^{\circ} C, K_{p} \) for the reaction
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \) is 0.667 atm.
Compute the percent dissociation of
\( N_{2} O_{4} \) at \( 46^{\circ} C \) at a total pressure fo 380
Torr.
A . 50\%
B. 70\%
c. \( 40 \% \)
D. 20\% | 1 | Chemistry |
Water is a mixture.
A. True
B. False | 1 | Chemistry |
If the length of the filament of a heater
is reduced by \( 10 \% \), the power of the heater will
A. increase by about 9\%
B. increase by about 11\%
c. increase by about \( 19 \% \)
D. decrease by about \( 10 \% \) | 3 | Physics |
\( \boldsymbol{C d}(s)\left|\boldsymbol{C d C l}_{2}(\mathbf{0 . 1 0} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}(\boldsymbol{s}) \mid \boldsymbol{A} \boldsymbol{g}(s \)
The EMF of the above cell is 0.6315 V at
\( 0^{\circ} \mathrm{C} \) and \( 0.6753 \mathrm{V} \) at \( 25^{\circ} \mathrm{C} \). The \( \Delta H \) of
reaction in \( \mathrm{kJ} \) at \( 25^{\circ} \mathrm{C} \) is:
A . - 176
B. - 234.7
c. 123.5
D . - 167.6 | 1 | Chemistry |
When light propagates in vaccum there is an electric field and a magnetic field.
Which of the following is not true about these field?
A. They are constant in time
B. They have zero average value
C. They are perpendicular to the direction of propagation of light
D. They are mutually perpendicular | 3 | Physics |
How many lone pairs are present in the
\( N_{2} O_{4} ? \) | 1 | Chemistry |
A current of 30 amp is flowing in a
conductor as shown in the figure. The
magnetic induction at point 0 will be :
A . 1.5 Tesla
B . \( 4.71 \times 10^{-4} \) Tesla
c. zero
D. 0.15 Tesla | 3 | Physics |
What happens if forest disappears?
A. Climate change
B. Flood
c. Soil erosion
D. All of the above | 0 | Biology |
Assertion: Preservatives are added to
food items
Reason : Preservatives inhibit the
growth of microorganisms
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. Both Assertion and Reason are incorrect
D. Assertion is correct but Reason is incorrect
E. Assertion is incorrect but Reason is correct | 1 | Chemistry |
groups, e.g.
\( O \)
\( -\boldsymbol{C H O} \)
\[
\begin{array}{ccc}
& \| & , & \| \\
- & \boldsymbol{C} & -\boldsymbol{R}- & \boldsymbol{C} & -\boldsymbol{O} \boldsymbol{R}
\end{array}
\]
\( N,-N O_{2} \) activates nucleophilic attack
in halobenzene. The order of reactivity of
these groups is:
A.
\[
\begin{array}{c}
0 \\
-N O_{2}>-C \equiv N>\quad\|\quad \quad>\quad\| \\
0 \\
-\quad C \quad-H \quad-\quad C \quad-R \\
-\quad C \quad-O R
\end{array}
\]
B.
\[
\begin{array}{l}
\|\quad>\quad\| \\
C \quad-H \quad-\quad C
\end{array}
\]
11
\[
>-C \equiv
\]
\[
\begin{array}{c}
-C-H \\
N>-N O_{2}
\end{array}
\]
\( -C-R-C-O R \)
\( c \)
\[
\begin{aligned}
-C \equiv N>-N O_{2}>& 0 \\
-& C-H-C-R
\end{aligned}
\]
\( O \)
11
\[
-C \quad O R
\]
D.
\[
\begin{array}{rl}
0 & 0 \\
\| & >-N O_{2}>-C \equiv N> \\
- & C \\
0 & -H & \| \\
& \| \\
- & C
\end{array}
\] | 1 | Chemistry |
Consider a thin target \( \left(10^{-2} \mathrm{m} \) square \right.
\( \left.10^{-3} m \text { thickness }\right) \) of sodium, which
produces a photo-current of \( 100 \mu A \) when a light of intensity \( 100 W / m^{2}(\lambda=660 n m) \) falls on it.
Find the probability that a photoelectron is produced when a photon strikes a sodium atom.
[ Take density of \( \left.\boldsymbol{N} \boldsymbol{a}=\mathbf{0 . 9 7} \boldsymbol{k} \boldsymbol{g} / \boldsymbol{m}^{3}\right] \) | 3 | Physics |
Study the graph which shows results of
three different experiments \( P, Q \) and \( R \)
Which factor was varied in all these
experiments?
A. Light intensity
B. Rate of photosynthesis
c. Both A and B
D. None of the above | 0 | Biology |
f \( A \) and \( B \) are two matrices such that
\( A B=B \) and \( B A=A \) and
\( \left(A^{2}+B^{2}\right)=\lambda(A+B) . \) Considering
\( \boldsymbol{f}(\boldsymbol{x})=|[\sin \boldsymbol{x}]+[\cos \boldsymbol{x}]| ; \) where [] is
greatest integer function find \( \boldsymbol{f}(\mathbf{4} \boldsymbol{\lambda}) \) | 2 | Maths |
For which of the following reaction
\( \boldsymbol{K}_{\boldsymbol{p}}=\boldsymbol{K}_{c} ? \)
\( \mathbf{A} \cdot N_{2(g)}+3 H_{2(g)} \rightleftharpoons 2 N H_{3(g)} \)
B. \( 2 \mathrm{NOCl}_{(g)} \rightleftharpoons 2 \mathrm{NO}_{(g)}+\mathrm{Cl}_{2(g)} \)
C. \( H_{2(g)}+I_{2(g)} \rightleftharpoons 2 H I_{(g)} \)
D. \( C O_{2(g)}+C_{(s)} \rightleftharpoons 2 C O_{(g)} \) | 1 | Chemistry |
Na \( 0 . H \) can also be prepared by electrolysis of aqueous \( N a C l . \) Amount of \( N a O H \) formed when \( 0.445 L \) of
\( N a C l(a q) \) is electrolysed for 137 s with a current of \( 1.08 A \) is \( 0.06 g . \) The pH of this solution is :
A . 11.70
B. 11.53
c. 11.83
D. data is incomplete | 1 | Chemistry |
There is \( _{--} \) - tangent to a circle passing through a point lying inside the circle.
\( A \cdot \) no
B. one
c. two
D. three | 2 | Maths |
Three capacitors \( \boldsymbol{C}_{\mathbf{1}}=\boldsymbol{6} \boldsymbol{\mu} \boldsymbol{F}, \boldsymbol{C}_{2}= \)
\( 12 \mu F \) and \( C_{3}=20 \mu F \) are connected to
a \( 100 V \) battery, as shown following
figure below:
Calculate:
Charge on each plate of capacitor \( C_{1} \) | 3 | Physics |
A group of students took an old shoe
box and covered it with a black paper
from all sides. They fixed a source of light (a torch) at one end of the box by making a hole in it and made another
hole on the other side to view the light They placed a milk sample contained in a beaker/tumbler in the box as shown
in the Fig.2.4. They were amazed to see that milk taken in the tumbler was
illuminated. They tried the same activity by taking a salt solution but found that light simply passed through it?
Same results were not observed with a
salt solution. Explain. | 1 | Chemistry |
Prove \( \frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots+\frac{1}{2^{n}}=1-\frac{1}{2^{n}} \) | 2 | Maths |
Calculate the dissociation constant of
\( N H_{4} O H \) at \( 298 \mathrm{K}, \) if \( \triangle H^{\ominus} \) and \( \Delta S^{\ominus} \) for
the given changes are as follows:
\( \boldsymbol{N} \boldsymbol{H}_{3}+\boldsymbol{H}^{\oplus} \rightleftharpoons \stackrel{\oplus}{\boldsymbol{N}} \boldsymbol{H}_{4} \)
\( \Delta H^{\ominus}=-52.2 k J m o l^{-1}, \Delta S^{\ominus}= \)
\( \mathbf{1 . 6 7} \boldsymbol{J} \boldsymbol{K}^{-1} \boldsymbol{m o l}^{-1} \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{H}^{\oplus}+\stackrel{\ominus}{\boldsymbol{O}} \boldsymbol{H} ; \boldsymbol{\Delta} \boldsymbol{H}^{\ominus}= \)
\( \mathbf{5 6 . 6} k J \mathbf{m o l}^{-1} \)
\( \Delta S^{\ominus}=-76.53 J K^{-1} m o l^{-1} \)
\begin{tabular}{l}
A. \( K_{b}=1.7 \times 10^{-5} \) \\
\hline
\end{tabular}
в. \( K_{b}=1.7 \times 10^{-3} \)
c. \( K_{b}=1.7 \times 10^{-1} \)
D. \( K_{b}=3.4 \times 10^{-5} \) | 1 | Chemistry |
Action of concentrated nitric acid on
metallic tin produces:
This question has multiple correct options
A. stannous nitrite
B. stannous nitrate
c. stannic nitrate
D. stannic oxide | 1 | Chemistry |
The median of 21 observations is 18 If
two observations 15 and 24 are included
to the observation then the median of
new series is
A . 15
B . 18
\( c \cdot 24 \)
D. 16 | 2 | Maths |
Solve \( :-\frac{i^{592}+i^{590}+i^{588}+i^{586}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}} \) | 2 | Maths |
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