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The laws of reflection hold good for:
A. plane mirror only
B. concave mirror only
C. convex mirror only
D. all mirrors irrespective of their shape
| 3 |
Physics
|
A satellite has a kinetic energy \( X \) potential energy \( Y \) and total energy \( z \) in a given orbit. How are they related
A. \( Z=Y=-2 X \)
в. \( Z=Y / 2=-X \)
c. \( Z=2 Y=-2 X \)
D. \( 2 Z=Y=-2 X \)
\( X \)
| 3 |
Physics
|
In a one-dimensional collision between
two particles, their relative velocity is \( \bar{v}_{1} \)
before the collision and \( \bar{v}_{2} \) and the
collision.
This question has multiple correct options
A \( . \overline{v_{1}}=\overline{v_{2}} \) if the collision is elastic.
B. \( \overline{v_{1}}=-\overline{v_{2}} \) if the collision is elastic.
\begin{tabular}{l|l}
c. \( |\overline{v_{2}}|=\left|v_{1}\right| \) in all cases.
\end{tabular}
D. \( v_{1}=-k \bar{v}_{2} \) in all cases, where \( k \geq 1 \)
| 3 |
Physics
|
The example of nuclear fusion is:
A. Formation of barium and krypton from uranium
B. Formation of helium from hydrogen
C. Formation of plutonium - 235 from uranium -235
D. Formation of water from hydrogen and oxygen
| 3 |
Physics
|
Calculate the maximum work when 24
g of oxygen are expanded isothermally
and reversibly from a pressure of \( 1.6 \times \) \( 10^{5} \) Pa to 100 kPa at \( 298 \mathrm{K} \)
| 3 |
Physics
|
There are 4 candidates for a Natural
science scholarship, 2 for a Classical and 6 for a Mathematical
scholarship,then find No. of ways these scholarships can be awarded is,
A . 48
B. 12
c. 24
D. 8
| 2 |
Maths
|
The value of the determinant \( \Delta= \)
A \( a_{1} a_{2}+b_{1} b_{2} \)
a
В \( \cdot\left(a_{1} a_{2} a_{3}\right)+\left(b_{1} b_{2} b_{3}\right) \)
c. \( a_{1} a_{2} b_{1} b_{2}+a_{2} a_{3} b_{2} b_{3}+a_{3} a_{1} b_{3} b_{1} \)
D. none of these
| 2 |
Maths
|
Refraction of light occurs when:
A. light passes through a narrow opening.
B. light passes into a new transparent material (not head on) in which it travels at a new speed.
C . light strikes the edge of an object.
D. light becomes polarized.
E. light passes through a diffraction grating.
| 3 |
Physics
|
How much below the surface of the
earth does the acceleration due to
gravity become \( 70 \% \) of its value at the surface of earth? (Take \( \boldsymbol{R}=\mathbf{6 4 0 0 k m} \) )
| 3 |
Physics
|
State Le Chatelier's principle?
| 1 |
Chemistry
|
Assertion
Ortho and para-nitrophenols can be separated by steam distillation.
Reason
Ortho isomer associates through intermolecular hydrogen bonding while Para isomer associates through
intramolecular 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. Assertion is incorrect but Reason is correct
| 1 |
Chemistry
|
8
cylinder to be negligible, find the time dependence of the kinetic energy of the
whole system.
\( ^{\mathbf{A}} \cdot_{T}=\frac{m g^{2} t^{2}}{2\left(1+\frac{2 M}{m}\right)} \)
\( ^{\mathbf{B}} \cdot_{T}=\frac{m g^{2} t^{2}}{2\left(1+\frac{M}{2 m}\right)} \)
\( ^{\mathbf{C}} T=\frac{m g^{2} t^{2}}{2\left(1+\frac{M}{m}\right)} \)
\( ^{\mathrm{D}} T=\frac{2 m g^{2} t^{2}}{2\left(1+\frac{M}{2 m}\right)} \)
| 3 |
Physics
|
A point mass oscillates along the \( x \) axis according to the law \( \boldsymbol{x}= \)
\( x_{0} \cos (\omega t-\pi / 4) . \) If the acceleration of
the particle is written as \( a= \)
\( A \cos (\omega t+\delta) \) then:
A \( . A=x_{0}, \delta=-\pi / 4 \)
B . \( A=x_{0} \omega^{2}, \delta=-\pi / 4 \)
C \( . A=x_{0} \omega^{2}, \delta=-\pi / 8 \)
D. \( A=x_{0} \omega^{2}, \delta=3 \pi / 4 \)
| 3 |
Physics
|
In a triangle \( A B C, \) a line \( P Q \) is drawn
parallel to \( B C \), points \( P \), Q being on \( A B \)
and \( A C \) respectively. If \( A B=3 A P \)
then what is the ratio of the area of
triangle \( A P Q \) to the area of triangle
\( A B C ? \)
A .1: 3
B. 1: 5
c. 1: 7
D. 1: 9
| 2 |
Maths
|
\( \mathbf{0 . 1} \boldsymbol{M} \boldsymbol{K}_{4}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{6}\right] \) is \( 60 \% \) ionized
What will be its Van't Hoff factor?
A . 1.4
в. 3.4
c. 2.4
D. 4.
| 1 |
Chemistry
|
When a liquid in a heat insulated closed vessel is stirred using a peddle then the
temperature of the liquid:
A. Increases
B. Decreases
c. Remains constant
D. Becomes \( 0^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
if \( [\mathrm{x}] \) is the integral part of \( \mathrm{x} \), then solve \( \left[\mathbf{4}-[\boldsymbol{x}]^{2}\right]-[\boldsymbol{x}]^{2}=\mathbf{2} \)
find the number of integers satisfying
the equation.
| 2 |
Maths
|
Origin of lateral roots is
A. Endogenous
B. Axillary
c. Exogenous
D. Peripheral
| 0 |
Biology
|
Which of the following is miscible with
water?
A. \( C S_{2} \)
В . \( C_{2} H_{5} O H \)
c. \( C C l_{4} \)
D. \( C H C l_{3} \)
| 1 |
Chemistry
|
Identify the products \( A, B \) and \( C \)
| 1 |
Chemistry
|
If in a solvent, n simple molecules of solute combine to form an associated
molecule, \( \alpha \) is the degree of association, the van't Hoff's factor is
equal to:
A. \( \frac{1}{1-n \alpha} \)
B. \( 1-\alpha+n \alpha \)
\( c \cdot_{1-\alpha+\frac{\alpha}{n}} \)
D. \( \frac{\alpha}{n}-1+\alpha \)
| 1 |
Chemistry
|
Find the domain of definition of the
following function. \( \boldsymbol{f}(\boldsymbol{x}),=\sqrt{\mathbf{2}-\boldsymbol{x}}+\sqrt{\mathbf{1}+\boldsymbol{x}} \)
| 2 |
Maths
|
The dimensional formula of arial
velocity is
\( \mathbf{A} \cdot\left[M^{0} L^{-2} T^{1}\right] \)
B . \( \left[M^{0} L^{-2} T^{-1}\right] \)
C . \( \left[M^{0} L^{2} T^{-1}\right] \)
\( \mathbf{D} \cdot\left[M^{0} L^{2} T^{1}\right] \)
| 3 |
Physics
|
To carry out the so-called electrolysis of
water, sulphuric acid is added to water. How does the addition of sulphuric acid produce a conducting solution?
| 1 |
Chemistry
|
\( \frac{-}{k} \)
| 3 |
Physics
|
Ram purchases a chair at \( R s .70 \) and
spent \( R s .17 \) on its repair and 50 paise
on cartage. If he sold the chair at
Rs.100 then his approximate margin of profit will be ?
A . \( 13.30 \% \)
B . \( 11.25 \% \)
c. \( 12.5 \% \)
D. 14.3\%
| 2 |
Maths
|
In a hydrogen atom, if energy of an electron in the ground state is \( 13.6 \mathrm{eV} \) then that in the 2 nd excited state is:
A . \( 1.51 \mathrm{eV} \)
B. 3.4 ev
\( c \cdot 6.04 \mathrm{ev} \)
D. 13.6 ev
| 1 |
Chemistry
|
A first-order reaction is \( 50 \% \) completed
in 20 minutes at \( 27^{0} \) C and in 5 min at
\( 47^{0} \mathrm{C} . \) The energy of activation of the reaction is :
A. \( 43.85 k J / \) mol
в. \( 55.33 k J / \) mol
c. \( 11.97 k J / \) mol
D. \( 6.65 k J / \) mol
| 1 |
Chemistry
|
If \( D \) be subset of the set of all rational
numbers, then \( D \) is closed under the
binary operations of
A. addition, subtraction and division
B. addition, multiplication and division
c. addition, subtraction and multiplication.
D. subtraction, multiplication and division
| 2 |
Maths
|
Units of \( K_{c} \) for the reaction of formation
of \( S O_{3} \) from \( S O_{2} \) and \( O_{2} \) are \( g \) mol \( ^{-1} \)
A. True
B. False
| 1 |
Chemistry
|
The advantage(s) of using carbon to reduced a number of oxides and other
compounds are:
This question has multiple correct options
A. easy availability of coke
B. low cost of carbon
c. tendency of carbon to show catenation.
D. presence of carbon lowers the melting point of the oxide
| 1 |
Chemistry
|
The correct order of covalent nature is:
A. \( B e C l_{2}> \) LiCl
в. \( B e C l_{2}<L i C l \)
c. \( B e C l_{2}=L i C l \)
D. None of these
| 1 |
Chemistry
|
Fungal cell wall is formed of :
A. Pectin
B. Hemicellulose
c. chitin and cellulose
D. Chitin and pectin
| 0 |
Biology
|
Three capacitors, \( 3 \mu F, 6 \mu F \) and \( 6 \mu F \) are connected in series to a source of
120V. The potential difference, in
volts, across the \( 3 \mu F \) capacitor will be
A . 24
B. 30
\( c \cdot 40 \)
\( D \cdot 60 \)
| 3 |
Physics
|
Assertion: \( F \) is more electronegative
than \( C l \)
Reason: \( F \) has high electron affinity than
\( C l \)
A. If both assertion and reason are true and the reason is a correct explanation of the assertion
B. If both assertion and reason are true but reason is not a correct explanation of the assertion
C. If the assertion is true but reason is false
D. If both the assertion and reason are false
E. If the assertion is false but the reason is true
| 1 |
Chemistry
|
A gas is enclosed in a cylinder with a movable friction less piston. Its initial
thermodynamic state at pressure \( \boldsymbol{P}_{i}= \) \( 10^{5} P a \) and volume \( V_{i}=10^{-3} m^{3} \)
changes to a final state at \( \boldsymbol{P}_{f}= \) \( (1 / 32) \times 10^{5} P a \) and \( V_{f}=8 \times 10^{-3} m^{3} \)
in an adiabatic quasi-static process, such that \( P^{3} V^{5} \) =constant. Consider
another thermodynamic process that brings the system from the same initial state to the same final state in two
steps: an isobaric expansion at \( \boldsymbol{P}_{i} \) followed by an isochoric (isovolumetric)
process at volume \( V_{f} . \) The amount of heat supplied to the system in the twostep process is approximately:
\( \mathbf{A} \cdot 112 J \)
в. 294 Л
c. \( 588 J \)
D. \( 813 J \)
| 3 |
Physics
|
The probability that a two digit number selected at random will be a multiple of
'3' and not a multiple of '5' is
A \( \cdot \frac{2}{15} \)
в. \( \frac{4}{15} \)
c. \( \frac{1}{15} \)
D. \( \frac{4}{90} \)
| 2 |
Maths
|
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}, \boldsymbol{i f} \boldsymbol{x}^{\frac{2}{3}}+\boldsymbol{y}^{\frac{\boldsymbol{2}}{3}}=\boldsymbol{a}^{\frac{\boldsymbol{2}}{3}} \)
| 2 |
Maths
|
A body is first displaced by \( 5 \mathrm{m} \) and the n by \( 12 \mathrm{m} \) in different directions. The mi nimum displacement it can have is
\( \mathrm{m} \)
A. 0
B. 5
\( c \cdot 7 \)
D. 12
| 3 |
Physics
|
Write the name and formula of the first
member of the carbon compounds having functional group - COOH .
| 1 |
Chemistry
|
When sugar is dissolved in water, the
level of water
A. increases
B. decreases
c. remains same
D. data insufficient
| 1 |
Chemistry
|
The following table shows the number of workers in a factory and their daily wages. Find the median of the daily
wages.
\( \begin{array}{llll}\text { Daily } & \mathbf{1 0 0}- & \mathbf{1 1 0}- & \mathbf{1 2 0}- \\ \text { wages(Rupees) } & \mathbf{1 1 0} & \mathbf{1 2 0} & \mathbf{1 3 0}\end{array} \)
No. of workers 37
38
| 2 |
Maths
|
Write any two difference between
addition and condensation
polymerisation.
| 1 |
Chemistry
|
A tester is used to check the conduction
of electricity through two liquids, labelled \( A \) and \( B \). It is found that the
bulb of the tester glows brightly for liquid A while it glows very dim for liquid B. You would conclude that:
A. liquid \( A \) is a better conductor than liquid \( B \)
B. liquid \( B \) is a better conductor than liquid \( A \)
c. both liquids are equally conducting
D. conducting properties of liquid cannot be compared in this manner.
| 1 |
Chemistry
|
For a valid Bohr orbit, its circumfrence
should be :
\( \mathbf{A} \cdot=n \lambda \)
B. \( =(n-1) \lambda \)
\( \mathbf{c} \cdot>n \lambda \)
\( \mathbf{D} \cdot<n \lambda \)
| 1 |
Chemistry
|
Find the inverse of the following matrices by the adjoining method \( \left[\begin{array}{cc}-1 & 5 \\ -3 & 2\end{array}\right] \)
| 2 |
Maths
|
Provide the systematic name of the
compounds shown.
\( \mathbf{A} \cdot 4-b u t y l-2-e t h y l-1- \)methylcycloheptane
B. \( 1-b u t y l-4- \) ethyl \( -3- \) methylcycloheptane
c. \( 2-b u t y l-4- \) ethyl \( -1- \) methylcycloheptane
D. \( 4-b u t y l-1- \) ethyl \( -2- \) methylcycloheptane
| 1 |
Chemistry
|
For which of the following solutes the
van't Hoff factor is not greater than one?
A. \( N a N O_{3} \)
в. \( B a C l_{2} \)
\( \mathbf{c} \cdot_{K_{4}}\left[F e(C N)_{6}\right] \)
D. \( N H_{2} C O N H_{2} \)
| 1 |
Chemistry
|
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{c}x \\ \frac{a e^{|x|}+3 . e^{\frac{-1}{x}}}{1} \\ (a+2) e^{\frac{1}{|x|}-e^{\frac{-1}{x}}}\end{array}\right) \begin{array}{l}x \neq 0 \\ 0\end{array} \)
differentiable at \( \boldsymbol{x}=\mathbf{0} \) then \( [\boldsymbol{a}]=_{--}(\mathbb{D} \)
denotes greatest integers function
4
B. -1
\( c \cdot 2 \)
\( 0 .-3 \)
| 2 |
Maths
|
The rest energy of an electron is:
A. \( 510 \mathrm{KeV} \)
в. \( 931 \mathrm{KeV} \)
c. \( 510 \mathrm{MeV} \)
D. \( 931 \mathrm{MeV} \)
| 1 |
Chemistry
|
The ground state energy of hydrogen atom is \( -13.6 e V \)
(i) What is the kinetic energy of an
electron in the \( 2^{n d} \) excited state?
| 3 |
Physics
|
Evaluate \( \int_{-6}^{0}|x+3| d x . \) What does this integral represent on the graph?
| 2 |
Maths
|
let \( \boldsymbol{f}(\boldsymbol{\theta})=\frac{1}{1+(\tan \theta)^{2013}} \) then value of
\( \sum_{\theta=1^{0}}^{89^{\circ}} f(\theta) \) equals
A . 45
B. 44
c. \( 89 / 2 \)
D. \( 91 / 2 \)
| 2 |
Maths
|
A uniform electric field and a uniform
magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then
A. its velocity will increase
B. its velocity will decrease
c. it will turn towards left of direction of motion
D. it will turn towards right of direction of motion
| 3 |
Physics
|
The molecular formula of dithionic acid
is:
A \( \cdot H_{2} S_{2} O_{7} \)
в. \( H_{2} S_{2} O_{6} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{5} \)
D. \( H_{2} S O_{5} \)
| 1 |
Chemistry
|
The blood pressure is high in
A. Arteries
B. Vein
c. capillaries
D. Veins portal system
| 0 |
Biology
|
Discuss the motion of an object under
free fall
| 3 |
Physics
|
\( \frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+. . n \) terms \( = \)
A \( \cdot \frac{3 n}{2(3 n+2)} \)
B. \( \frac{3 n}{3 n+2} \)
c. \( \frac{n}{2(3 n+2)} \)
D. \( \frac{n}{3 n+2} \)
| 2 |
Maths
|
Figure below shows two paths that may
be taken by a gas to go from a state \( \boldsymbol{A} \)
to a state \( c \)
In process \( A B, 400 J \) of heat is added to
the system and in process \( B C, 100 J \) of
heat is added to the system. The heatt
absorbed by the system in the process
\( A C \) will be
A . \( 500 J \)
B . \( 460 J \)
c. \( 300 J \)
D. \( 380 J \)
| 3 |
Physics
|
The values of 'a' for which \( y=x^{2}+ \)
\( a x+25 \) touches \( x \) -axis are
\( \mathbf{A} \cdot \pm 10 \)
B. ±2
\( c .\pm 1 \)
D.
| 2 |
Maths
|
000
灣 8
What
| 3 |
Physics
|
A company has 450 employees. It needs
to hire \( 18 \% \) more employees, how many more employees will it hire?
| 2 |
Maths
|
Prove that points \( A, B, C \) having positions vectors \( \vec{a}, \vec{b}, \vec{c} \) are collinear, if \( [\overrightarrow{\boldsymbol{b}} \times \overrightarrow{\boldsymbol{c}}+\overrightarrow{\boldsymbol{c}} \times \overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}]=\overrightarrow{\mathbf{0}} \)
| 2 |
Maths
|
What would be the molar concentration
of human DNA in a human cell? Consult
your teacher.
| 0 |
Biology
|
Assertion
The greatest value of the moduli of
complex numbers \( z \) satisfying the equation \( \left|z-\frac{4}{z}\right|=2 \) is \( \sqrt{5}+1 \)
Reason
For any two complex number \( z_{1} \) and \( z_{2} \)
\( \left|z_{1}-z_{2}\right| \geq\left|z_{1}\right|-\left|z_{2}\right| \)
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
| 2 |
Maths
|
The number of specific heat for a gas
system is
A . 1
B. 2
\( c .3 \)
D.
| 3 |
Physics
|
State three advantages of alcohol over mercury for using it as a thermometric liquid
| 3 |
Physics
|
Evaluate the following integral
\( \int \frac{e^{x}+1}{e^{x}+x} d x \)
| 2 |
Maths
|
Mark the following rational numbers on
the number line.
\( \frac{3}{4} \)
| 2 |
Maths
|
A source of constant potential
difference is connected across a
conductor having irregular cross section as shown,then
A. Electric field intensity at \( P \) is greater than that at \( Q \)
B. rate of electrons crossing per unit area of cross section at \( P \) is less than that at \( Q \)
c. the rate of generation of heat per unit length at \( P \) is greater than at \( Q \)
D. mean kinetic energy of free electrons at \( P \) is greater than that at \( Q \)
| 3 |
Physics
|
State whether the given statement is
true or false:
First law of thermodynamics is applicable to all processes irrespective to whether they are reversible or
irreversible.
A. True
B. False
| 1 |
Chemistry
|
Choose the correct option.
This question has multiple correct options
\( \mathbf{A} \cdot T_{n+2}-T_{n-1} \) is divisible by 2
\( ^{\mathbf{B}} \cdot \frac{T_{n+1}+T_{n-1}}{T_{n}}=2 r \)
C. Neither (A) nor (B)
D. None of the above
| 2 |
Maths
|
Explain the main functions of leaf.
| 0 |
Biology
|
Write the IUPAC name of following ketone or aldehyde. If possible, give the
common name(s) also.
\( \boldsymbol{C H}_{3} \boldsymbol{C O}\left(\boldsymbol{C H}_{2}\right) \boldsymbol{C H}_{3} \)
| 1 |
Chemistry
|
The vapour pressure of a solvent at 293
K is 100 mm Hg. Then the vapour pressure of a solution containing 1 mole of a strong electrolyte \( \left(A B_{2}\right) \) in 99 moles of the solvent at \( 293 \mathrm{K} \) is:
(Assume complete dissociation of solute)
A. \( 103 \mathrm{mm} \) Hg
в. \( 99 \mathrm{mm} \) Нв
\( \mathbf{c} .97 \mathrm{mm} \mathrm{Hg} \)
D. \( 101 \mathrm{mm} \) Н
| 1 |
Chemistry
|
Which of the following is NOT true?
A. A sharp knife can easily cut due to its small cutting surface.
B. It is easier to walk in sand than on road.
C. A battle tank can move easily on soft ground because its tracks have bigger surface.
D. The pressure exerted by a needle is much more than the foot of an elephant.
| 3 |
Physics
|
If two events \( A \) and \( B \) such that
\( \boldsymbol{P}\left(\boldsymbol{A}^{\prime}\right)=\mathbf{0 . 3}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5} \) and \( \boldsymbol{P}(\boldsymbol{A} \cap \)
\( B)=0.3, \) then \( P\left(B \mid A \cup B^{\prime}\right) \) is
A . \( 3 / 8 \)
B. 2 /
c. \( 5 / 6 \)
D. \( 1 / 4 \)
| 2 |
Maths
|
Two substances \( P \) and \( Q \) when brought
together, form substance R with the evolution of heat. The properties of R are
different from both \( \mathrm{P} \) and \( \mathrm{Q} \). What is
substance R?
A. A compound
B. An element
c. A metal
D. A mixture
| 1 |
Chemistry
|
Name the new antacid which prevents
formation of acid in stomach.
A. Omeprazole
B. Pantaprazole
c. Hemoprazole
D. none of these
| 1 |
Chemistry
|
If \( \bar{a}, \bar{b}, \bar{c} \) are position vectors of the noncollinear points \( A, B, C \) respectively, the shortest distance of \( A \) and \( B C \) is?
A. \( \bar{a} \cdot(\bar{b}-\bar{c}) \)
a)
в. \( \bar{b} \cdot(\bar{c}-\bar{a}) \)
c. \( |\bar{b}-\bar{a}| \)
D \( \cdot \sqrt{|\vec{b}-\vec{a}|^{2}-\left[\frac{(\vec{a}-\vec{b} \cdot(\vec{b}-\vec{c})}{|\vec{b}-\vec{c}|}\right)^{2}} \)
| 2 |
Maths
|
Range of nuclear force is approximately
A \( \cdot 2 \times 10^{-15} m \)
B . \( 1.5 \times 10^{-20} m \)
c. \( 7.2 \times 10^{-4} m \)
D. \( 1.4 \times 10^{-15} \mathrm{m} \)
| 3 |
Physics
|
An important step in the manufacture of pulp in paper industry from woody
tissues of plants is
A. Preparation of pure cellulose by removing lignin.
B. Treatment of wood with chemicals for breakdown of
cellulose.
C. Removal of oil by suitable chemicals
D. Removal of water from wood by prolonged heating at \( 50^{\circ} \mathrm{C} \)
| 0 |
Biology
|
The phosphorus in a 4.258 g sample of a plant food was converted to \( P O_{4}^{3-} \) and
precipitated as \( A g_{3} P O_{4} \) through the
addition of \( 50.0 \mathrm{mL} \) of \( 0.082 M A g N O_{3} \)
The excess of \( A g N O_{3} \) was back titrated with \( 4.86 \mathrm{mL} \) of \( 0.0625 M \)
\( K S C N . \) Express the results of this
analysis in terms of \( P_{2} O_{5} \) as nearest
integer \%. \( P_{2} O_{5}+9 H_{2} O \rightarrow 2 P O_{4}^{3-}+6 H_{3} O^{+} \)
\( 2 P O_{4}^{3-}+6 A g^{+} \rightarrow 2 A g_{3} P O_{4} \)
\( \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{S C N}^{-} \rightarrow \boldsymbol{A} \boldsymbol{g} \boldsymbol{S} \boldsymbol{C} \boldsymbol{N}(\boldsymbol{s}) \)
| 1 |
Chemistry
|
What is the best reagent would you choose to convert \( M n O_{4}^{2-} \) to \( M n O_{4}^{-} ? \)
A \( \cdot C l_{2} \) water
в. \( O_{3} \)
c. Both \( A \) and \( B \)
D. None of these
| 1 |
Chemistry
|
(a) State briefly the processes involved in the formation of p-njunction explaining clearly how the depletion region is formed.
(b) Using the necessary circuit diagram, show how the \( V-1 \) characteristics of a p-njunction are
obtained in
(i) Forward biasing
(ii) Reverse biasing How are these characteristics made
use of in rectification?
| 3 |
Physics
|
What will be the pH of solution when 'A'
and 'C' solutions are mixed completely?
A. 9.5
B. 5
c. 10.15
D. 8.85
| 1 |
Chemistry
|
What is the colour corresponding to the wavelength of light emitted when the electron in a hydrogen atom undergoes transition from \( n=4 \) to \( n=2 ? \)
A. Blue
B. Red
c. Yellow
D. Green
| 1 |
Chemistry
|
State how de-Broglie wavelength \( (\lambda) \) of
moving particles varies with their linear momentum (p).
| 3 |
Physics
|
The diffusion current in a p-njunction
is greater than the drift current when the junction is
A. forward biased.
B. reverse biased
c. unbiased.
D. both forward and reverse biased
| 3 |
Physics
|
Which of the following ion is more paramagnetic?
A \( \cdot L a^{3+}(Z=57) \)
B . \( L u^{3+}(Z=71) \)
\( \mathbf{c} \cdot Y b^{3+}(Z=70) \)
D. \( S m^{3+}(Z=62) \)
| 1 |
Chemistry
|
Mycorrhizae are associated with angiosperms.
A. Anacardiaceae
B. Orchidaceae
c. Both of the above
D. None of the above
| 0 |
Biology
|
Find the foci of the curve \( 16 x^{2}- \)
\( \mathbf{2 4 x y}+\mathbf{9 y}^{2}+\mathbf{2 8 x + 1 4 y}+\mathbf{2 1}=\mathbf{0} \)
| 2 |
Maths
|
In the dissociation of bicarbonate ion,
the conjugate base involved is:
\( \mathbf{A} \cdot C O_{3}^{2-} \)
в. \( C O_{2} \)
c. \( H_{2} C O_{3} \)
D. \( C O \)
| 1 |
Chemistry
|
ZnS and PbS are separated by using?
| 1 |
Chemistry
|
Calculate the probability that a donor
state in the doped material is
occupied?
A. 0.824
B. 0.08
c. 0.008
D. 8.2
| 3 |
Physics
|
Find the sum of given series
\( 31+32+33+\ldots .+50 \)
| 2 |
Maths
|
Density of ice is less than that of water because of:
A. absence of hydrogen bonding
B. crystal modification of ice
c. open porous structure of ice due to hydrogen bonding
D. different physical states of these
| 1 |
Chemistry
|
Which of the following statements is
not true about RNA ?
A. It has always double stranded \( \alpha \) -helix structure.
B. It usually does not replicate.
C. It is present in the nucleus of the cell.
D. It controls the synthesis of protein.
| 1 |
Chemistry
|
Factorise the polynomial: \( a x^{2}+b x^{2}+ \)
\( a y^{2}+b y^{2} \)
| 2 |
Maths
|
\( \boldsymbol{H}_{2} \boldsymbol{S} \) react with \( \boldsymbol{O}_{2} \) in restricted supply
of \( \boldsymbol{O}_{2} \) to form:
A \( \cdot H_{2} S+S \)
в. \( H_{2} S+S O_{2} \)
c. \( H_{2} S+S O_{3} \)
D. \( H_{2} S O_{4}+S \)
| 1 |
Chemistry
|
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