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For a system \( C(s)+O_{2}(g)=C O_{2}(g) \)
which of the following is correct?
\( \mathbf{A} \cdot \Delta H=\triangle E \)
в. \( \triangle H>\triangle E \)
c. \( \triangle H<\triangle E \)
D. \( \triangle H=0 \)
| 1 |
Chemistry
|
In the reaction, \( X \) is:
\( \mathrm{CH}_{3} \mathrm{C}=\mathrm{C}-\mathrm{CH}_{3} \frac{(\mathrm{i}) X}{(\mathrm{ij}) 2 \mathrm{o} / \mathrm{H}_{2} \mathrm{O}} \rightarrow \mathrm{CH}_{3}-\underset{\mathrm{O}}{\mathrm{I}}-\mathrm{C}_{\mathrm{O}}-\mathrm{CH}_{3} \)
A \( . H N O_{3} \)
в. \( O_{2} \)
\( c \cdot O_{3} \)
D. \( K M n O_{4} \)
| 1 |
Chemistry
|
(i) On what factor does the position of the centre of gravity of a body depend?
(ii) What is the S.l.unit of the moment
of force?
| 3 |
Physics
|
Set up an experiment to demonstrate
root pressure.
| 0 |
Biology
|
n the figure \( \angle B A C=75^{\circ}, \angle A B C= \)
\( 35^{\circ} . \) Find the measures of \( \angle B A Z \)
| 2 |
Maths
|
For \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}, \) the correct
choice is:
A \( \cdot H_{3} P O_{3} \) is dibasic and reducing
B. \( H_{3} P O_{3} \) is dibasic and non-reducing
\( \mathrm{c} \cdot H_{3} P O_{4} \) is tribasic and reducing
D. \( H_{3} P O_{3} \) is tribasic and non-reducing
| 1 |
Chemistry
|
The dot product of a vector with vectors \( \hat{\mathbf{i}}+\hat{\mathbf{j}}-\mathbf{3} \hat{\mathbf{k}}, \hat{\mathbf{i}}+\mathbf{3} \hat{\mathbf{j}}-\mathbf{2} \hat{\mathbf{k}}, \mathbf{2} \hat{\mathbf{i}}+\hat{\mathbf{j}}+\mathbf{4} k \) are
0,5 and 8 respectively. Find the vector
| 2 |
Maths
|
Using differentials, find the sum of digits approximate value of the following up to 3 places of decimal. \( \sqrt{0.6} \)
| 2 |
Maths
|
Sieve tube is component of
A. Xylem
B. Cortex
c. Phloem
D. Both of xylem and phloem
| 0 |
Biology
|
\( \operatorname{et} \Delta_{1}=\left|\begin{array}{ccc}x & y & x+y \\ y & x+y & x \\ x+y & x & y\end{array}\right| \)
\( \boldsymbol{\Delta}_{2}=\left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{x} & \boldsymbol{y} \\ \mathbf{1} & \boldsymbol{x}+\boldsymbol{y} & \boldsymbol{y} \\ \mathbf{1} & \boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right| \)
\( \boldsymbol{\Delta}_{3}=\left|\begin{array}{ccc}\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y} & \boldsymbol{x}+\boldsymbol{2} \boldsymbol{y} \\ -\boldsymbol{x} & \boldsymbol{x} & \boldsymbol{0} \\ \boldsymbol{0} & -\boldsymbol{x} & \boldsymbol{x}\end{array}\right| \)
\( \boldsymbol{\Delta}_{4}=\left|\begin{array}{lll}1 & \boldsymbol{x} & \boldsymbol{x}^{2} \\ \mathbf{1} & \boldsymbol{y} & \boldsymbol{y}^{2} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right| \)
then
| 2 |
Maths
|
Statement - I: The mixing of two completely miscible liquid. A and B showing positive deviation from Raoult's law is followed by an
absorption of heat Statement - ll: The A- B molecular
interaction forces are stronger than the
A-A or B-B molecular interaction forces.
A. Statement-lis true, Statement- - 2 is true; Statement 2 is a correct explanation for Statement- -
B. Statement-1 is true, Statement - 2 is true; Statement 2 is not a correct explanation for Statement - -
c. statement-lis true, Statement- - 2 is false
D. Statement-lis false, Statement- - 2 is true
| 1 |
Chemistry
|
The tension in a string holding a solid block below the surface of a liquid
(where \( \rho_{\text {liquid}}>\rho_{\text {block}} \) ) as in shown in
the figure is \( \boldsymbol{T} \) when the system is at rest.Then what will be the tension in the
string if the system has upward acceleration \( a \) ?
\( ^{\mathbf{A}} \cdot T\left(1-\frac{a}{g}\right) \)
в. \( T\left(1+\frac{a}{g}\right) \)
\( ^{\mathbf{c}} \cdot T\left(\frac{a}{g}-1\right) \)
D. \( \frac{a}{a} \)
| 3 |
Physics
|
The degree of a polynomial \( 2 x^{5}-5 x^{3}- \)
\( 10 x+9 \) is
A . 5
B. 3
c. 1
D.
| 2 |
Maths
|
An electric current can produce
A. heating effect only.
B. chemical effect only.
C . magnetic effect only.
D. chemical, heating, and magnetic effects.
| 3 |
Physics
|
Acid rain is caused by
A. emission of gases from industries
B. air pollutants
C. both (A) and (B)
D. none of above
| 1 |
Chemistry
|
If \( x^{m} \cdot y^{n}=(x+y)^{m+n}, \) then \( \frac{d y}{d x} \) is \( ? \)
A. \( \frac{y}{x} \)
в. \( \frac{x+y}{x y} \)
c. \( x y \)
D. \( \frac{x}{y} \)
| 2 |
Maths
|
Which of the following compounds
cannot be prepared singly by the Wurtz
reaction?
\( \mathbf{A} \cdot C_{2} H_{6} \)
B. \( \left(C H_{3}\right)_{2} C H C H_{3} \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C H_{2} C H_{3} \)
D. All of the above can be prepared
| 1 |
Chemistry
|
Number of ways in which 3 boys and 3 girls can be seated on a line where two
particular girls do not want to sit adjacent to a particular boy is equal to
A . 36
B. 72
c. 144
D. 288
| 2 |
Maths
|
Number of one-one functions from A to
B where \( n(A)=4, n(B)=5 \)
A .4
B. 5
\( c \cdot 120 \)
D. 90
| 2 |
Maths
|
A steel wire can support a maximum
load of \( W \) before reaching its elastic limit. How much load can another wire,
made out of identical steel, but with a
radius one half the radius of the first wire, support before reaching its elastic limit.?
\( \mathbf{A} \cdot W \)
в. \( \frac{W}{2} \)
c. \( \frac{w}{4} \)
D. \( 4 W \)
| 3 |
Physics
|
Among the following hydroxides, the one
which has the lowest value of \( \boldsymbol{K}_{s p} \) at
ordinary temperature (about \( 25^{\circ} C \) ) is:
\( \mathbf{A} \cdot M g(O H)_{2} \)
\( \mathbf{B} \cdot C a(O H)_{2} \)
\( \mathbf{c} \cdot B a(O H)_{2} \)
D. \( B e(O H)_{2} \)
| 1 |
Chemistry
|
Find the acute angle between the lines \( 3 x+y-7=0 \) and \( x+2 y-9=0 \)
A \( \cdot 45^{\circ} \)
B . \( 135^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 120^{\circ} \)
| 2 |
Maths
|
Three closed vessels \( A, B \) and \( C \) are at the
same temperature T and contain gases which obey Maxwell distribution law of
velocities. Vessel A contains \( O_{2}, \) B only \( N_{2} \)
and \( \mathrm{C} \) mixture of equal quantities of \( \mathrm{O}_{2} \)
and \( N_{2} \). If the average speed of \( O_{2} \)
molecules in vessel \( \mathrm{A} \) is \( V_{1} \) and that of \( N_{1} \)
molecules in vessel B is \( V_{2} \), then the
average speed of the \( O_{2} \) molecules in
vessel C is
A \( \cdot \frac{\left(v_{1}+v_{2}\right)}{2} \)
B. \( V_{1} \)
c. \( \sqrt{v_{1} v_{2}} \)
D. None of these
| 3 |
Physics
|
If \( f(x)=x^{2}+2 b x+2 c^{2} \) and \( g(x)= \)
\( -x^{2}-2 c x+b^{2} \) are such that min
\( f(x)>\max g(x), \) then the relation
between \( b \) and \( c \) is
A. no relation
в. \( 0<c<b / 2 \)
C \( \cdot|c|<|b| \sqrt{2} \)
D \( \cdot|c|>|b| \sqrt{2} \)
| 2 |
Maths
|
During binary fusion in Amoeba which of the following organelles is duplicated?
A. Plasma membrane
B. Nucleus
c. Centriole
D. All of these
| 0 |
Biology
|
\( N \) conducting plares are placed face to face as shown in figure. Distance
between any two plates is \( d \). Area of the plates is \( A, \frac{A}{2}, \frac{A}{4}, \frac{A}{8} \dots \frac{A}{2(n-1)} . \) The
equivalent capacitance of the system is
| 3 |
Physics
|
\( \sum_{k=1}^{k=n} \tan ^{-1} \frac{2 k}{2+k^{2}+k^{4}}=\tan ^{-1}\left(\frac{6}{7}\right) \)
then the value of ' \( n \) ' is equal to
A . 2
B. 3
\( c \cdot 4 \)
D. 5
| 2 |
Maths
|
The mineralization of nutrients for
plants can be done by
A. Virus
B. Protozoa
c. Phytoplankton
D. None of the above
| 0 |
Biology
|
The volume of cube is \( 36 \mathrm{cm}^{3} . \) Its
surface area is
A \( \cdot 6(36)^{\frac{3}{2}} \)
B. \( (36)^{\frac{3}{2}} \)
c. \( 6(36)^{\frac{2}{5}} \)
D. None
| 2 |
Maths
|
Reproductive cells (germinal epithelium) are made up of which of the following epithelial tissue?
A. Cuboidal
B. Columnar
c. Squamous
D. Sensory
| 0 |
Biology
|
Percentage of water left in the soil when
a plant begins to wilt is known as
A. Wilting coefficient
B. pH value of soil
c. Field capacity
D. Water holding cpacity
| 0 |
Biology
|
Name the state of matter in which
particles just move randomly because of a very weak force of attraction.
| 1 |
Chemistry
|
If \( \mathbf{Y}=(x+\sqrt{x^{2}-1})^{m} \) show that
\( \left(x^{2}-1\right) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=m^{2} y \)
| 2 |
Maths
|
The expression gynoecium is
apocarpous implies that the
A. Gynoecium comprises only one pistil which is fused with the stamen
B. Gynoecium comprises more than one carpel, all of which are free
C. Gynoecium comprises only one carpel which is free
D. Gynoecium comprises more than one carpel which are fused
| 0 |
Biology
|
State whether true or false.
Magnetic lines of force are imaginary lines.
A. True
B. False
| 3 |
Physics
|
In the above reaction if \( A \) is \( N H_{4} C l \) and
\( D \) is \( C O_{2} \) then \( B \& C \) respectively are:
\( (A)+N a O H \rightarrow N a C l+N H_{3}+H_{2} O \)
\( N H_{3}+C O_{2}+H_{2} O \rightarrow(B) \)
(B) \( +N a C l \rightarrow(C)+N H_{4} C l \)
\( (\mathrm{C}) \rightarrow N a_{2} C O_{3}+H_{2} O+(D) \)
A. \( N H_{4} H C O_{3}, N a H C O_{3} \)
в. \( \operatorname{NaHCO}_{3, N H_{4} H C O_{3}} \)
\( \mathrm{c} \cdot_{\left(N H_{4}\right)_{2}} C O_{3}, N a_{2} C O_{3} \)
D. \( \operatorname{Na}_{2} \operatorname{CO}_{3},\left(N H_{4}\right)_{2} C O_{3} \)
| 1 |
Chemistry
|
Evaluate: \( \sec ^{-1}(-2) \)
| 2 |
Maths
|
The given compound is:
A. 3 -Ethylpent-1, 3-diene
B. 2-Ethylpent-2, 3-diene
c. Pentadiene
D. None of these
| 1 |
Chemistry
|
Differentiate the given function w.r.t. \( x \)
\( \cos \left(\log x+e^{x}\right), x>0 \)
| 2 |
Maths
|
Evaluate \( : \int_{-x}^{x}(\cos a x-\sin b x)^{2} d x \)
| 2 |
Maths
|
Which of the following utilizes Newton's third law of motion?
A. Archery
B. space rocket
c. venturimeter
D. Internal combustion engine
E. Kite flying
| 3 |
Physics
|
The most stable oxidation state of
Thallium is:
\( A \cdot+1 \)
B. +3
\( c \cdot+4 \)
D. +6
| 1 |
Chemistry
|
Which shape has the verties (3,2),(0,5),(-3,2) and (0,-1)\( ? \)
A. Rectangle
B. Square
c. Trapezium
D. Rhombus
| 2 |
Maths
|
The isotopic masses of \( _{1}^{2} \mathbf{H} \) and \( _{2}^{4} \mathbf{H e} \) are
\( \mathbf{2 . 0 1 4 1} \) and \( \mathbf{4 . 0 0 2 6} \) amu
respectively. The velocity of light in
vacuum is \( 2.998 \times 10^{8} m / \) sec. The
quantity of energy liberated when two mole of \( _{1}^{2} \mathbf{H} \) undergo fusion to form 1
mole of \( _{2}^{4} \) He is :
A \( \cdot 2.3 \times 10^{12} J \)
В. \( 4.3 \times 10^{12} J \)
c. \( 6.6 \times 10^{12} J \)
D. none of these
| 3 |
Physics
|
Evaluate \( \int \frac{\cos 2 x}{\sqrt{1+\sin 2 x}} d x \)
| 2 |
Maths
|
Which of the following are countably
infinite and uncountably infinte.
(i) Set of natural numbers
(ii) Set of real numbers
A. Both \( (i) \) and \( (i i) \) are uncountably infinite
B. ( \( i \) ) uncountably infinite and
\( (i i) \) countably infinite
C. \( (i) \) countably infinite and \( (i i) \) uncountably infinite
D. Both \( (i) \) and \( (i i) \) are countably infinite
| 2 |
Maths
|
The points \( P, Q, R \) have regular cartesian coordinates
(1,1,-1),(4,1,2) and (-2,1,2)
respectively. Which of the following is
true for the triangle \( P Q R ? \)
A. All the sides have the same length.
в. \( Q R=2 P Q \)
c. Angle \( P Q R \) is a right angle.
D. The area of the triangle is 18 square units.
| 2 |
Maths
|
The sum of \( n \) terms of an \( A P \) is \( 2 n^{2}+n \)
Then 8 th term of the A.P is
A. 31
B. 27
c. 35
D. 39
| 2 |
Maths
|
\( 25 \mathrm{cm}^{3} \) of oxalic acid completely
neutralised \( 0.064 g \) of sodium
hydroxide. Molarity of the oxalic acid solution is :
в. 0.032 м
c. 0.064 м
D. 0.015 М
| 1 |
Chemistry
|
If \( N \) denote the set of all natural
numbers and \( R \) be the relation on \( N \times \)
\( N \) defined by \( (a, b) R(c, d) . \) if \( a d(b+ \)
\( c)=b c(a+d), \) then \( R \) is
A. Symmetric only
B. Reflexive only
c. Transitive only
D. An equivalence relation
| 2 |
Maths
|
toppr 5
Q Type your question
\( B \)
\( c \)
\( D \)
| 3 |
Physics
|
Assertion STATEMENT-1: If \( \vec{a}, \vec{b}, \vec{c} \) are non coplanar unit vectors equally inclined to one
another at an angle \( \theta, \) then there will
exist three scalar \( p, q, r \) such that \( \vec{a} \times \) \( \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{b}} \times \overrightarrow{\boldsymbol{c}}=\boldsymbol{p} \overrightarrow{\boldsymbol{a}}+\boldsymbol{q} \overrightarrow{\boldsymbol{b}}+\boldsymbol{r} \overrightarrow{\boldsymbol{c}} \)
Reason STATEMENT-2 : \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}} \) is a vector
perpendicular to plane containing \( \vec{a} \) and \( \vec{b} \) and \( \vec{b} \times \vec{c} \) is a vector perpendicular to plane containing \( \overrightarrow{\boldsymbol{b}} \) and \( \overrightarrow{\boldsymbol{c}} \) so \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{b}} \times \)
\( \vec{c} \) will be non-zero only if \( \vec{a}, \vec{b}, \vec{c} \) are
coplanar.
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
c. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True
| 2 |
Maths
|
Primary winding and secondary winding of a transformer has
100 and 300 turns respectively. If its
input power is \( 60 \mathrm{W} \) then output power of the transformer will be
A . 240 \( w \)
B. 180 \( w \)
\( c \cdot 60 w \)
D. 20 W
| 3 |
Physics
|
Find the height of a parallelogram
whose area is \( 54 \mathrm{cm}^{2} \) and the base is
\( 15 \mathrm{cm} \)
| 2 |
Maths
|
\( " F e^{3+} \) is more stable than \( F e^{2+} \)
Answer whether the above statement is
true or false.
If true enter 1 , else enter 0 .
| 1 |
Chemistry
|
The starting and ending elements of actinides are respectively:
\( \mathbf{A} \cdot T h \) and \( L u \)
B. \( T h \) and \( L r \)
c. \( A c \) and \( L u \)
D. \( A c \) and \( L r \)
| 1 |
Chemistry
|
Convert the given fractional numbers to
percentage. \( \frac{5}{4} \)
| 2 |
Maths
|
The cost of setting up the type of a magazine is Rs. 1000 , the cost of running the printing machine is Rs. 120 per 100 copies, the cost of paper, ink and so on is 60 paise per copy. The magazines are sold at Rs. 2.75 each.
900 copies are printed, but only 784 copies are sole. What is the sum to be obtained from advertisements to give a
profit of \( 10 \% \) on the cost?
A. Rs. 730
B. Rs. 720
c. Rs. 726
D. Rs. 736
| 2 |
Maths
|
The product of \( -3 x y z, 6 x^{2} y z^{3}, \) and
\( -4 x^{3} z^{2} \) is
\( \mathbf{A} \cdot 64 x^{6} y^{2} z^{6} \)
B. \( -64 x^{6} y^{2} z^{6} \)
C \( .-42 x^{6} y^{2} z^{6} \)
D. \( 72 x^{6} y^{2} z^{6} \)
| 2 |
Maths
|
Calculate oxidation number of central
\( \operatorname{atom} \operatorname{in}\left[\boldsymbol{K}_{4}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{6}\right]\right. \)
| 1 |
Chemistry
|
Assertion
The excess pressure above atmospheric
pressure is usually called as gauge
pressure.
Reason
Gauge pressure = (Total pressure) (atmospheric pressure)
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
|
The standard Gibbs energy change at \( 300 K \) for the reaction \( 2 A \leftrightharpoons B+C \) is
\( 2494.2 J . \) At a given time, the composition of the reaction mixture is \( [A]=\frac{1}{2},[B]=2 \) and \( [C]=\frac{1}{2} . \) The reaction
proceeds in the \( :[R= \) \( \mathbf{8 . 3 1 4 J} / \mathbf{K} / \mathbf{m o l}, e=\mathbf{2 . 7 1 8} \)
A . forward direction because \( Q>K_{e} \)
B. reverse direction because \( Q>K_{e} \)
C. forward direction because \( Q<K_{e} \)
D. reverse direction because \( Q<K_{e} \)
| 1 |
Chemistry
|
Assertion
Heterophylly is seen in many aquatic
plants
Reason
Aquatic plants survive in two different
conditions of the environment
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
| 0 |
Biology
|
\( \frac{1^{2}}{1}+\frac{1^{2}+2^{2}}{1+2}+\frac{1^{2}+2^{2}+3^{2}}{1+2+3}+\ldots+n \)
terms \( = \)
A. \( \frac{n(n+3)}{4} \)
в. \( \frac{n(n+3)}{5} \)
c. \( \frac{n(n+2)}{3} \)
D. \( \frac{n(n+5)}{6} \)
| 2 |
Maths
|
Its basic strength is \( 10^{10} \) more than 1
dimethyl amino naphthalene due to:
A. resonance
B. steric inhibitation of resonance
c. ortho effect
D. hyperconjugation
| 1 |
Chemistry
|
What is true regarding the following
acid catalyzed esterification (Fischer)
reaction ?
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O O H}+\boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \stackrel{\boldsymbol{H}^{+}}{\longrightarrow} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O O C}_{2} \boldsymbol{H}_{5} \)
This question has multiple correct options
A. The reaction involves production on \( s p^{3} \) -oxygen of acid in the first step
B. The reaction involves protonation on \( s p^{2} \) -oxygen of acid followed by formation of acylium ion \( \left(R O C^{+}\right) \) in the first step
C. The slowest step of reaction is the nucleophilic attack of alcohol on \( s p^{2} \) carbon of acid
D. Alcohol undergoes protonation in the first step
| 1 |
Chemistry
|
A condenser of \( 250 \mu F \) is connected in
parallel to a cell of inductance \( 0.16 \mathrm{mH} \) while its effective resistance is while
its. Determine the resonant frequency.
A \( \cdot 9 \times 10^{4} \mathrm{Hz} \)
B . \( 16 \times 10^{7} \) Н \( _{2} \)
c. \( 8 \times 10^{5} \) Н \( z \)
\( \mathbf{D} \cdot 9 \times 10^{3} \mathrm{Hz} \)
| 3 |
Physics
|
Mesophyll development in leaves is stimulated by
A. Rhizocaline
B. Caulocaline
c. Phyllocaline
D. All of the above
| 0 |
Biology
|
A dealer makes a profit of \( 9 \% \) by
selling a camera for \( R s .3379 . \) Find the
cost price of the camera?
| 2 |
Maths
|
Five cells each of internal resistance
\( 0.2 \Omega \) and \( \mathrm{emf} 2 V \) are connected in
series with a resistance of \( 4 \Omega \).The
current through the external resistance
is
A. \( 4 A \)
в. \( 2 A \)
\( c \cdot 1 A \)
D. \( 0.5 A \)
| 3 |
Physics
|
Which one of the following is an example of hydrosol?
A. starch sol
B. Gold sol
c. Both (a) and (b)
D. None of these
| 1 |
Chemistry
|
The ionization energy of the ground state of hydrogen atom is \( 2.18 \times 10^{-18} \)
J. The energy of an electron in its second orbit would be:
В. \( -2.18 \times 10^{-18} \mathrm{J} \)
c. \( -4.36 \times 10^{-18} \mathrm{J} \)
D. \( -5.45 \times 10^{-19} \mathrm{J} \)
| 1 |
Chemistry
|
If the sum of the lengths of the hypothesis and another side of a right angle is given, show that the area of the triangle is maximum when the angle
between these sides is \( \frac{\pi}{3} \)
| 2 |
Maths
|
Conifers differ from grasses, in the
A. Formation of endosperm before fertilization
B. Production of seeds from ovules
C. Lack of xylem tracheids
D. Absence of pollen tubes
| 0 |
Biology
|
A stationary ball weighing \( 0.25 k g \) acquires a speed of \( 10 m / s \) when hit by a hockey stick. The impulse imparted to the ball is
\( \mathbf{A} \cdot 2.5 N s \)
B. \( 2.0 N s \)
c. \( 1.5 N s \)
D. \( 0.5 N s \)
| 3 |
Physics
|
The stability of the hydrides follows the
order.
A. \( N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \)
B. \( N H_{3}<P H_{3}<S b H_{3}<A s H_{3} \)
c. \( P H_{3}>N H_{3}>A s H_{3}>S b H_{3} \)
D. \( A s H_{3}>N H_{3}>P H_{3}>S b H_{3} \)
| 1 |
Chemistry
|
Which one of the following is the most durable wood?
A. Shorea robusta
B. Cedrus deodara
c. Dalbergia sisso
D. Tectona grandis
| 0 |
Biology
|
Choose the correct answers from the
alternatives given :
An exergonic reaction is
A. a spontaneous reaction in which energy is given off
B. an uphill reaction requiring input of energy
c. an anaerobic reaction
D. an oxidation reaction
| 0 |
Biology
|
Which of the following is a quadratic
equation?
\( \mathbf{A} \cdot x^{\frac{1}{2}}+2 x+3=0 \)
B. \( \left(x^{2}-1\right)(x+4)=x^{2}+1 \)
C \( \cdot x^{2}-3 x+5=0 \)
D. \( \left(2 x^{2}+1\right)(3 x-4)=6 x^{2}+3 \)
| 2 |
Maths
|
What happens when calcium carbide is treated with water?
A. Ethane is formed
B. Methane and ethane are formed.
c. Ethyne is formed.
D. Ethene and ethyne are formed
| 1 |
Chemistry
|
Two small spheres of masses \( 10 \mathrm{kg} \) and \( 30 \mathrm{kg} \) are joined by a rod of length \( 0.5 \mathrm{m} \) and of negligible mass. The M.I. of the system about a normal axis through centre of mass of the system is
A \( \cdot 1.875 \mathrm{kgm}^{2} \)
B. 2.45 \( k g m^{2} \)
c. \( 0.75 \mathrm{kgm}^{2} \)
D. \( 1.75 \mathrm{kgm}^{2} \)
| 3 |
Physics
|
A device used for measuring small
currents due to changing magnetic field is known as:
A. galvanometer
B. ammeter
c. potentiometer
D. voltmeter
| 3 |
Physics
|
For the reaction \( 2 A+B \rightarrow C+ \)
\( D,-\frac{\boldsymbol{d}[\boldsymbol{A}]}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{k}[\boldsymbol{A}]^{2}[\boldsymbol{B}] . \) The expression
for \( \frac{-\boldsymbol{d}[\boldsymbol{B}]}{\boldsymbol{d} \boldsymbol{t}} \) will be:
\( \mathbf{A} \cdot K[A]^{2}[B] \)
B . \( 1 / 2 K[A]^{2}[B] \)
\( \mathbf{c} \cdot K[A]^{2}[2 B] \)
D. \( K[2 A]^{2}[B] \)
| 1 |
Chemistry
|
Match the List I and List
List I
(i)
(A)The limits of pH values of buffer 0
solution 10
(B) Concentration of \( \left[H_{3} O^{+}\right] \) in \( 0.001 M \)
\( B a(O H)_{2} \) Equal
(C) The buffer capacity of a solution is maximum when concentration of salt to 10 that of acid is
(D) Ionic product of water is \( p K_{a} \pm \) 1
A \( . A-(i v) ; B-(i i) ; C-(i) ; D-(i i i) \)
B. A-(iv); B-(i); C-(iii); D-(ii)
C \( . A-(i) ; B-(i v) ; C-(i i) ; D-(i i i) \)
D. A-(iv); B-(i); C-(ii); D-(iii)
| 1 |
Chemistry
|
Quinaine is obtained from-
A. Bark
B. Fruit
c. Leaves
D. Roots
| 1 |
Chemistry
|
What is self inductance? Name the
factors on which self inductance
depends.
| 3 |
Physics
|
Which one of the following character dif ferentiate man from other mammals?
A. Superior intelligence
B. Power of speech
c. social life
D. Greater cranial capacity
| 0 |
Biology
|
\( 0.16 g \) of \( N_{2} H_{4} \) are dissolved in water
and the total volume made up to
500 \( m L \). Calculate the percentage of
\( N_{2} H_{4} \) that has reached with water at
this dilution. The \( K_{b} \) for \( N_{2} H_{4} \) is \( 4.0 \times \)
\( \mathbf{1 0}^{-6} \boldsymbol{M} \)
| 1 |
Chemistry
|
In the figure shown a planet moves in an
elliptical orbit around the sun. Compare
the speeds, linear and angular
momenta at the points \( A \) and \( B \)
| 3 |
Physics
|
Lanthanoids contraction is due to
increase in:
A. shielding by \( f \) -electrons
B. atomic number.
c. effective nuclear charge
D. size of 4 f-orbital.
| 1 |
Chemistry
|
The BOD value of municipal sewage is:
A. \( 1-5 \) ppm
B. 5-10 ppm
c. \( 50-100 \) ppm
D. 100-4000 ppm
| 1 |
Chemistry
|
One of the rectangular components of a force of \( 50 N \) is \( 30 N . \) The other
rectangular component will be
A . \( 40 N \)
в. \( 30 N \)
\( c .35 N \)
D. \( 45 N \)
| 3 |
Physics
|
If the emf of the battery in primary circuit of a potetimeter is doubled the value of potential gradient will:-
A. Remain Uncharged
B. Be halved
c. Be doubled
D. None of these
| 3 |
Physics
|
When the polynomial \( \left[6 x^{4}+8 x^{3}+\right. \)
\( \left.29 x^{2}+21 x+7\right] \) is divided by another
polynomial \( \left[3 x^{2}+4 x+1\right] \) the
remainder is in the form of \( (a x+b) \)
Find \( a \) and \( b \)
| 2 |
Maths
|
There are 2 brothers \( A \) and
B. Probability that \( A \) will pass in exam is \( 3 / 5 \) and that
B will pass in exam is \( 5 / 8 . \) What will be
the probability that only one will pass in the exam?
| 2 |
Maths
|
A body of 0.5 kg moves along the positive x-axis under the influence of a
varying force \( F \) (in Newtons) as shown
below.
f the speed of the object at \( x=4 \) m is
\( 3.16 \mathrm{m} . \mathrm{s}^{-1} \) then its speed at \( \mathrm{x}=8 \mathrm{m} \) is
A. \( 3.16 m \cdot s^{-1} \)
B. \( 9.3 m \cdot s^{-1} \)
\( c \cdot 8 m \cdot s^{-1} \)
D. \( 6.8 m \cdot s^{-1} \)
| 3 |
Physics
|
A circular coil of 100 turns has an
effective radius of \( 0.05 \mathrm{m} \) and carries a
current of 0.1 A. How much work is
required to turn it in an external magnetic field of \( 1.5 W b m^{-2} \) through
\( 180^{\circ} \) about an axis perpendicular to the magnetic field?
| 3 |
Physics
|
Which of the following two substances react to produce blister copper?
\( \mathbf{A} \cdot C u_{2} S_{(s)} \) and \( C u_{2} O_{(s)} \)
B. \( C u_{2} O_{(s)} \) and \( F e S_{S_{s}} \)
c. \( C u_{2} S_{(s)} \) and \( O_{2(g)} \)
D. \( C u_{2} S_{(s)} \) and \( F e S_{2(s)} \)
| 1 |
Chemistry
|
The, sum of the radius of the base and
the height of a solid cylinder is 37 metres. If the total surface area of the
cylinder be 1628 sq. metres, its volume is :
A \( .3180 m^{3} \)
в. \( 4620 m^{3} \)
\( c .5240 m^{3} \)
D. None of these
| 2 |
Maths
|
Assertion
\( P_{4} O_{10} \) is not used to dry \( N H_{3} \)
Reason
\( P_{4} O_{10} \) is acidic and \( N H_{3} \) is basic.
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
|
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