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A ball is dropped from a tower. In the
last second of its motion it travels a
distance of 15 m. Find the height of the tower. [take \( \left.g=10 m / s e c^{2}\right] \)
| 3 |
Physics
|
A simple pendulum oscillates freely between points \( A \) and \( B \) We now put a peg (nail) at some point \( C \)
as shown. As the pendulum moves from
At to the right, the string will bend at \( C \) and the pendulum will go to its extreme point D. Ignoring friction, the point D.
A. Will lie on the line AB
B. Will lie above the line AB
c. will lie below the line \( A B \)
D. Will concide with B
| 3 |
Physics
|
A \( 2 k g \) block is placed over a \( 4 k g \) block
and both are placed on a smooth horizontal surface. The coefficient of
friction between the blocks is \( 0-20 \)
Find the acceleration of the two blocks
if a horizontal force of \( 12 N \) is applied to
(a) the upper block, (b) the lower
block. Take \( g=10 m / s^{2} \)
| 3 |
Physics
|
The membranes that suspend
vertebrate organs in the body cavity are
called:
A . visceral muscle
B. coelomic membranes
c. ligaments
D. visceral membranes
| 0 |
Biology
|
'Origin of Species' was written by :
A. Oparin
B. Weismann
c. Lamarck
D. Darwin
| 0 |
Biology
|
Young's double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe
widths recorded are \( \beta_{G}, \beta_{R}, \beta_{B} \) respectively. Then
\( \mathbf{A} \cdot \beta_{G}>\beta_{B}>\beta_{R} \)
в. \( \beta_{B}>\beta_{G}>\beta_{R} \)
c. \( \beta_{R}>\beta_{B}>\beta_{G} \)
D. \( \beta_{R}>\beta_{G}>\beta_{B} \)
| 3 |
Physics
|
At constant temperature, specific resistance of a conductor material
increases with:
A. increase in area of cross section
B. decrease in length
c. decrease in area of cross section
D. none of the above
| 3 |
Physics
|
Twenty four cells each of emf \( 1.5 \mathrm{V} \) and internal resistance 0.5 ohms are to be
connected to a 3 ohm resistance. For
maximum current through this resistance the number of rows and
number of columns that you connect
these cells is?
A. 12 cells in series 2 rows in parallel
B. 8 cells in series 3 rows in parallel
c. 4 cells in series 6 rows in parallel
D. 6 cells in series 4 rows in parallel
| 3 |
Physics
|
An atomic orbital is represented by:
\( \mathbf{A} \cdot \psi^{2} \)
B. \( \psi \) mod \( \psi \)
\( c \cdot \psi \)
D. \( \psi \) !
| 1 |
Chemistry
|
If \( \triangle_{1}, \triangle_{2} \) be the areas of two triangles with vertices \( (b, c),(c, a),(a, b), \) and \( \left(a c-b^{2}, a b-c^{2}\right),\left(b a-c^{2}, b c-\right. \)
\( \left.a^{2}\right),\left(c b-a^{2}, c a-b^{2}\right), \) then \( \frac{\triangle_{1}}{\triangle_{2}}= \)
\( (a+b+c)^{2} \)
A. True
B. False
| 2 |
Maths
|
Using the information, given in each of the following figures, find the valuesof
\( a \)
\( [\text { Given }: \boldsymbol{C} \boldsymbol{E}=\boldsymbol{A C}] \)
A . \( 136^{\circ} \)
B. \( 124^{\circ} \)
\( c \cdot 110^{\circ} \)
D. none of the above
| 2 |
Maths
|
Molecule obtained by \( s p^{3} d^{2} \) hybridisation has bond angle of:
A \( \cdot 90^{\circ} \)
B \( .109^{0} 28 \)
\( c \cdot 120^{\circ} \)
D. \( 72^{\circ} \)
| 1 |
Chemistry
|
If a hydrocarbon has a carbon-carbon
double bond, it is:
A. alkyne
B. alkane
c. alkene
D. all the above
| 1 |
Chemistry
|
Show that \( e=B v 1 \) where e is emf v is
velocity of rods and 1 is length of rods
| 3 |
Physics
|
In which year the first ozone hole was
discovered?
A . 1980
в. 1983
\( c \cdot 1985 \)
D. 1990
| 1 |
Chemistry
|
Chords of the circle \( x^{2}+y^{2}+2 g x+ \)
\( 2 f y+c=0 \) subtends a right angle at
the origin. The locus of the feet of the perpendiculars from the origin to these chords is
A \( \cdot x^{2}+y^{2}+g x+f y+c=0 \)
B . \( 2\left(\mathrm{x}^{2}+\mathrm{y}^{2}\right)+\mathrm{gx}+\mathrm{fy}+\mathrm{c}=0 \)
C \( \cdot 2\left(\mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{gx}+\mathrm{fy}\right)+\mathrm{c}=0 \)
D. \( x^{2}+y^{2}+2(g x+f y+c)=0 \)
| 2 |
Maths
|
A jet airplane travelling from east to
west at a speed of \( 500 \mathrm{km} h^{-1} \) eject out gases of combustion at a speed of
\( 1500 k m h^{-1} \) with respect to the jet
plane. What is the velocity of the gases with respect to an observer on the ground?
A. \( 1000 \mathrm{km} h^{-1} \) in the direction west to east.
B. \( 1000 \mathrm{km} h^{-1} \) in the direction east to west.
c. \( 2000 k m h^{-1} \) in the direction west to east.
D. \( 2000 \mathrm{km} h^{-1} \) in the direction east to west.
| 3 |
Physics
|
Match the column I with column II and
mark the appropriate choice.
and \( \begin{array}{ll}\text { column } & \text { column I } \\ 1\end{array} \)
Interstitial
hydride \( A \) 4 A Nat
\[
C H_{4}
\]
ii Molecular
hydride В
\( C \)
\( V H_{0.56} \)
\( B_{2} H_{6} \) iii lonic hydride Electron
deficient
hydride iv
A. \( (A) \rightarrow(i i i),(B) \rightarrow(i v),(C) \rightarrow(i i)(D) \rightarrow(i) \)
B. \( (A) \rightarrow(i i),(B) \rightarrow(i v),(C) \rightarrow(i i i)(D) \rightarrow(i) \)
c. \( (A) \rightarrow(i),(B) \rightarrow(i i),(C) \rightarrow(i v)(D) \rightarrow(i i i) \)
D. \( (A) \rightarrow(i i i),(B) \rightarrow(i i),(C) \rightarrow(i)(D) \rightarrow(i v) \)
| 1 |
Chemistry
|
A uniform thin rod of Length L and Mass M is bent at the middle point 0
Consider an axis passing through its middle point 0 and perpendicular to the plane of the bent rod. The moment of inertia about this axis is:
A \( \cdot \frac{2}{3} m L^{2} \)
B. \( \frac{1}{3} m L^{2} \)
c. \( \frac{1}{12} m L^{2} \)
D. Dependent on \( \theta \)
| 3 |
Physics
|
The percentage of deuterium in heavy
water is:
A . 22.2
в. 11.2
c. 44
D. 20
| 1 |
Chemistry
|
Which of the following contains isoprene units?
A. Natural rubber
B. Nylon - 6, 6
c. Polyethylene
D. Dacron
| 1 |
Chemistry
|
Apoplast is the system of adjacent cell walls that is continuous throughout the plant except at the
A. Plasmodesmata
B. Vessel element
c. casparian strips of endodermis
D. Tracheids
| 0 |
Biology
|
A rubber ball of mass \( 10 g m \) and volume
\( 15 c m^{3} \) dipped in water to a depth of
10m. Assuming density of water
uniform throughout the depth, find
(a) the acceleration of the ball, and
(b) the time taken by it to the surface if it is released from rest. take \( g= \)
\( 980 \mathrm{cm} / \mathrm{s}^{2} \)
(b) \( 2.02 \sec \)
B . (a) \( 4.9 \mathrm{m} / \mathrm{s}^{2} \)
(b) \( 2.02 \sec \)
c. (a) \( 4.9 \mathrm{m} / \mathrm{s}^{2} \)
(b) \( 12.02 \mathrm{sec} \)
D. (a) \( 8.9 m / s^{2} \)
(b) \( 2.02 \sec \)
| 3 |
Physics
|
limiting friction is of the area of
contact.fill in the blank
A. directly proportional
B. indirectly proportional
c. independent
D. none
| 3 |
Physics
|
Runs scored by Rahul in a match are 38
more than that faced by Virat. If together they have scored 144 runs and
the runs scored by Rahul are 18 more
than those faced by Virat. Find the number of runs scored by Rahul
| 2 |
Maths
|
Write uses of Fullerene.
| 1 |
Chemistry
|
The atomic weight of an element is 23 and its atomic number is \( 11 . \) The
number of proton, electrons and neutrons respectively, present in the atom of the element are
A. 11,11,12
В. 12,12,11
c. 11,12,11
D. 12,11,12
| 1 |
Chemistry
|
Armoured fishes belongs to class
A. Placodermi
B. Osteichytes
c. Elasmobranchi
D. Chondrichthyes
| 0 |
Biology
|
The small oval depression found on
inter auricular septum in adult human
is termed as
A. Foramen ovale
B. Fossa ovalis
c. Foramen of monro
D. Foramen of magnum
| 0 |
Biology
|
In two separate collisions, the
coefficients of restitution are \( e_{1} \) and \( e_{2} \)
are in the ratio \( 3: 1 . \) In the first collision
the relative velocity of approach is twice the relative velocity of separation, then
the ratio between relative velocity of approach and the relative velocity of separation in the second collision is :
A .1: 6
B . 2: 3
c. 3: 2
D. 6: 1
| 3 |
Physics
|
Join properly Column-I and Column-II.
Column I Column II
\( (A) \)
(1)
Lysin A) UUU \( 6^{G C} \)
(B)
(2)
Stop codon
\( (C) \)
(3) Phenyl Alanine AAA
(D)
(4)
UAA Glycine ne
\( A \cdot a-2, b-3, c-4, d-1 \)
B. \( a-4, b-3, c-1, d-2 \)
c. \( a-1, b-4, c-3, d-2 \)
D. \( a-3, b-4, c-1, d-2 \)
| 0 |
Biology
|
The scores of 10 students in a class test
are given as
44,54,46,63,55,42,34,48,70,38
Calculate the mean deviation about the
median.
A . 8.6
B. 6.6
\( c .7 .6 \)
D. 8.8
E . None of these
| 2 |
Maths
|
Light in air is incident at an angle of \( 45^{\circ} \)
on the surface of glass plate having Refractive index 1.526 through what angle is light deviated upon refraction at top of surface.
| 3 |
Physics
|
Lens which diverges light from a single point is
A. concave lens
B. convex lens
c. biconvex lens
D. both B and C
| 3 |
Physics
|
If \( V_{e} \) is the escape velocity of a body from a planet of mass \( M \) and radius \( R \) Then, the velocity of satellite revolving at height \( h \) from the surface of planet
will be
A \( \cdot V=V_{e} \sqrt{\frac{R}{(R+h)}} \)
B \( \cdot V=V_{e} \sqrt{\frac{2 R}{(R+h)}} \)
\( ^{\mathbf{c}} \cdot_{V}=V_{e} \sqrt{\frac{(R+h)}{R}} \)
D. \( V=V_{e} \sqrt{\frac{R}{2(R+h)}} \)
| 3 |
Physics
|
Root pressure helps in
Continuous flow of water in plants
ii Pulling force iii Replacement of lost water
B. ii, ii
c. i, ii i
D. All of the above
| 0 |
Biology
|
Q Type your question_
木政
,
Classification of representative
mammals.
\( \begin{array}{lll}\text { Kingdom } & \text { Animalia } & \text { Animalia } \\ \text { Phylum } & \text { Chordata } & \text { Chordata } \\ \text { Class } & \text { Mammalia } & \text { Mammalia } \\ \text { Order } & \text { Cetacea } & \text { Carnivora } \\ \text { Family } & \text { Mysticeti } & \text { Felidae } \\ \text { Genus } & \text { Balenopora } & \text { Felis } \\ \text { Species } & \text { B. physaius } & \text { F. catus } \\ \text { Common name } & \text { Blue Whale } & \text { Cat }\end{array} \)
\( A \)
Family
B. Kingdom
c. Species
D. Order
E. Class
| 0 |
Biology
|
Evaluate: \( \int \frac{d x}{\left(x^{2}+1\right)\left(x^{2}+4\right)} \)
| 2 |
Maths
|
A solution of saturated \( C a F_{2} \) is found to
contain \( 4.1 \times 10^{-4} M \) fluoride ion.
Calculate the \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{C} \boldsymbol{a} \boldsymbol{F}_{2} . \) Neglect
hydrolysis.
| 1 |
Chemistry
|
The common mode of reproduction in Rhizopus is by
A. Sporangiospores
B. Oidia
c. Plasmospores
D. Zoospores
| 0 |
Biology
|
Anhydrous \( M g C l_{2} \) can be prepared by
heating \( M g C l_{2} \cdot 6 H_{2} O: \)
A. In a current of dry HCl gas
B. With carbon
c. Until it fuses
D. With lime
| 1 |
Chemistry
|
If statement \( \boldsymbol{p} \rightarrow(\boldsymbol{q} \vee \boldsymbol{r}) \) is true then
the truth values of statements \( p, q, r \)
respectively
\( \mathbf{A} \cdot \mathbf{T}, \mathbf{F}, \mathbf{T} \)
в. F, Т, F
\( \mathrm{c} \cdot \mathrm{F}, \mathrm{F}, \mathrm{F} \)
D. all of these
| 2 |
Maths
|
Assertion
Secreting hypotonic urine is effective in reducing urinary loss of water.
Reason
Hypotonic urine is more concentrated and higher in osmotic pressure than the blood.
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
|
The value of the determinant \( \mid \begin{array}{ccc}1+a^{2}-b^{2} & 2 a b & -2 b \\ 2 a b & 1-a^{2}+b^{2} & 2 a \\ 2 b & -2 a & 1+a^{2}-b^{2}\end{array} \)
is equal to
\( A \)
B \( \cdot\left(1+a^{2}+b^{2}\right) \)
c. \( \left(1+a^{2}+b^{2}\right)^{2} \)
D. \( \left(1+a^{2}+b^{2}\right)^{3} \)
| 2 |
Maths
|
Bond dissociation enthalphies of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \)
and \( N_{2}(g) \) are \( 436.0 \mathrm{kJ} \) mol \( ^{-1} \) and 941.8
kJ mol \( ^{-1} \) respectively and enthalpy of
formation of \( \boldsymbol{N} \boldsymbol{H}_{3}(\boldsymbol{g}) \) is \( -46 \mathrm{kJ} \boldsymbol{m o l}^{-1} \)
What is enthalpy of atomization of
\( N H_{3}(g) ? \)
A. 390.3 kJ \( m o l^{-1} \)
B . 1170.9 kJ \( m o l^{-1} \)
c. 590 k \( \operatorname{mol}^{-1} \)
D. 720 kJ \( m o l^{-1} \)
| 1 |
Chemistry
|
In triangle \( A B C, \) medians \( A D \) and \( B E \) are drawn.lf \( \boldsymbol{A D}=\mathbf{4}, \angle \boldsymbol{D A B}=\frac{\boldsymbol{\pi}}{\mathbf{6}} \) and
\( \angle A B E=\frac{\pi}{3}, \) then the area of the
\( \triangle A B C \) is
A \( \cdot \frac{8}{3} \)
в. \( \frac{16}{3} \)
c. \( \frac{32}{3 \sqrt{3}} \)
D. \( \frac{64}{3} \)
| 2 |
Maths
|
Naphthalene, a white solid used to
make moth balls has a vapour pressure
of \( 0.10 \mathrm{mm} \) Hg at \( 27^{\circ} \mathrm{C} . \) Hence
\( \boldsymbol{K}_{\boldsymbol{p}} \) and \( \boldsymbol{K}_{\boldsymbol{c}} \) for the equilibrium are:
\( \mathbf{C}_{\mathbf{1 0}} \mathbf{H}_{\mathbf{8}}(\mathbf{s}) \rightleftharpoons \mathbf{C}_{\mathbf{1 0}} \mathbf{H}_{\mathbf{8}}(\mathbf{g}) \)
A. 0.10,0.10
B . \( 0.10,4.1 \times 10^{-3} \)
c. \( 1.32 \times 10^{-4}, 5.34 \times 10^{-6} \)
D. \( 5.36 \times 10^{-6}, 1.32 \times 10^{-4} \)
| 1 |
Chemistry
|
Pericardial fluid is secreted by
A. Myocardium
B. Perietal peritoneum
c. Visceral peritoneum
D. Pericardium
| 0 |
Biology
|
Regeneration is carried out by specialized cells.
A. True
B. False
| 0 |
Biology
|
Let \( \triangle_{1}, \triangle_{2}, \triangle_{3}, \dots, \triangle_{k} \) be the set of
third-order determinants that can be
made with the distinct nonzero real
numbers \( a_{1}, a_{2}, a_{3}, \dots a_{9}, \) and \( \Sigma a_{i}=0 \)
Then
This question has multiple correct options
\( \mathbf{A} \cdot k=9 ! \)
B . \( \sum_{i=1}^{k} \Delta_{i}=0 \)
C . at least one \( \Delta_{i}=0 \)
D. none of these
| 2 |
Maths
|
Identify the incorrect statement.
\( \mathbf{A} \cdot \operatorname{In} N_{2} O_{4} \) the \( \mathrm{N}-\mathrm{N} \) bond length is longer than the usual N-N single bond distance.
B. \( N O_{2} \) molecule is angular with \( N \) -O distance equal to the intermediate distance between a single and a double bond
\( \mathrm{C} \cdot N_{2} \mathrm{O} \) is a linear molecule and has a small dipole moment.
D. None of the above
| 1 |
Chemistry
|
If the door of a refrigerator is kept open
in a room, will it make the room warm or
cool?
| 3 |
Physics
|
Suppose \( \boldsymbol{f}:[-\mathbf{2}, \mathbf{2}] \rightarrow \boldsymbol{R} \) is defined by
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}-1 \text { for }-2 \leq x \leq 0 \\ x-1 \text { for } 0 \leq x \leq 2\end{array}\right. \)
then the \( \{x \in(-2,2): x \leq \)
\( \operatorname{Oand} f(|x|)=x\}= \)
A . \{-1\}
в. \{0\}
c. \( \left\{\frac{-1}{2}\right\} \)
D.
| 2 |
Maths
|
When \( 20 g \) of \( C a C O_{3} \) were put into 10
litre flask and heated to \( 800^{\circ} \mathrm{C}, 35 \% \) of
\( \mathrm{CaCO}_{3} \) remained unreacted at
equilibrium. \( K_{P} \) for decomposition of
\( \boldsymbol{C a C O}_{3} \) is:
A. 1.145 atm
B. 0.145 atm
c. 2.145 atm
D. 3.145 atm
| 1 |
Chemistry
|
State whether true or false.
A magnetic field is a region around a magnet where magnetic lines of force
act
A. True
B. False
| 3 |
Physics
|
Which is not a reversible reaction?
A. Base-promoted ester hydrolysis
B. Claisen condensation
c. Acid catalyst ester hydrolysis
D. Acetal formation
| 1 |
Chemistry
|
Why colloidal system in gas in gas does not exist?
| 1 |
Chemistry
|
Find the value of \( (1+i)^{3}+(1-i)^{6} \)
| 2 |
Maths
|
Out of the following four nets there are two correct nets to make a tetrahedron.
ldentify them.
| 2 |
Maths
|
Which of the following deplete ozone
layer?
\( A \cdot S O_{2} \)
в. \( C O_{2} \)
c. \( c o \)
D. NO and freons
| 1 |
Chemistry
|
\( f\left(\frac{1}{3}\right)+\cos ^{-1} x=\frac{\pi}{2}, \) then find \( x \)
| 2 |
Maths
|
Is every diameter of a circle also a
chord?
| 2 |
Maths
|
Specific heat of one mole of hydrogen at
constant pressure and at constant volume are \( 450 J K^{-1} \) and \( 300 J K^{-1} \)
respectively. Then what is the density of the gas at S.T.P?
\( \left(P_{a t m}=1.013 \times 10^{5} N m^{-2}\right) \)
A \( .2 .47 \mathrm{kg} / \mathrm{m}^{3} \)
В. \( 3.0 \mathrm{kg} / \mathrm{m}^{3} \)
c. \( 3.58 \mathrm{kg} / \mathrm{m}^{3} \)
D. \( 4.0 \mathrm{kg} / \mathrm{m}^{3} \)
E. No solution
| 1 |
Chemistry
|
Tickets numbered 1 to 20 are mixed up
and then a ticket is drawn at random.
What is the probability that the ticket drawn has a number which is a multiple
of 3 or \( 5 ? \)
A \( \cdot \frac{7}{20} \)
в. \( \frac{8}{20} \)
c. \( \frac{6}{20} \)
D. \( \frac{9}{20} \)
| 2 |
Maths
|
For a transistor, the current
amplification factor is \( 0.8 . \) The transistor is connected in
common emitter configuration, the change in collector current when the
base current changes by \( 6 m A \) is
\( \mathbf{A} \cdot 6 m A \)
в. \( 4.8 \mathrm{mA} \)
c. 24 m
D. \( 8 m A \)
| 3 |
Physics
|
A coil of inductance \( 0.50 \mathrm{H} \) and
resistance \( 100 \Omega \) is connected to a 240
V, 50 Hz ac supply.
(a) What is the maximum current in the
coil?
(b) What is the time lag between the
voltage maximum and the current maximum?
| 3 |
Physics
|
Two copper spheres of the same radii,
one hollow and the other solid, are
charged to the same potential, then
A. hollow sphere holds more charge
B. solid sphere holds more charge
c. both hold equal charge
D. we cant say
| 3 |
Physics
|
If the matrix \( \left[\begin{array}{ccc}\mathbf{0} & \mathbf{2} \boldsymbol{\beta} & \mathbf{\Upsilon} \\ \boldsymbol{\alpha} & \boldsymbol{\beta} & -\mathbf{\Upsilon} \\ \boldsymbol{\alpha} & -\boldsymbol{\beta} & \mathbf{\Upsilon}\end{array}\right] \) is
orthogonal, then
A \( \cdot \alpha=\pm \frac{1}{\sqrt{2}} \)
в. \( \beta=\pm \frac{1}{\sqrt{6}} \)
c. \( _{\gamma}=\pm \frac{1}{\sqrt{3}} \)
D. all of these
| 2 |
Maths
|
Which is the amount of energy
that must be added to raise
the temperature of 1 gram of
a substance by \( 1^{\circ} \mathrm{C} ? \)
A. Enthalpy change
B. Entropy change
c. Gibbs free energy change
D. Activation energy
E. Specific heat capacity
| 1 |
Chemistry
|
In a Kundt's tube experiment, the heaps of Iycopodium powder are collected at \( 20 \mathrm{cm} \) separations. The frequency of
tuning fork used is
A \( .660 H z \)
B. \( 825 \mathrm{Hz} \)
\( \mathrm{c} .775 \mathrm{Hz} \)
D. \( 915 ~ H z \)
| 3 |
Physics
|
Shearing strain is expressed by
A. angle of shear
B. angle of twist
c. decrease in volume
D. increase in volume
| 3 |
Physics
|
Write the polynomial in standard form and also write down their degree. \( \left(\frac{5}{6} z-\frac{3}{4} z^{2}-\frac{2}{3} z^{3}+1\right) \)
| 2 |
Maths
|
Roots-respire through.
A. Stomata
B. Lenticels
c. Spiracles
D. Air spaces
| 0 |
Biology
|
Fill in the blank.
Static electricity produced by charged particles in the atmosphere is known
as
A. Atmospheric electricity
B. Atmospheric charge
c. cloud electricity
D. Wind electricity
| 3 |
Physics
|
The refracting angle of a prism is \( A \). The refractive index of the prism is \( \cot \frac{A}{2} \) Find angle of minimum deviation.
\( \mathbf{A} \cdot 180^{\circ}+2 A \)
B \( \cdot 180^{\circ}-3 A \)
D. \( 90^{\circ}-A \)
| 3 |
Physics
|
Which of the following statements is true for the electrochemical Daniel cell?
A. Electrons flow from copper electrode to zinc electrode
B. Current flows from zinc electrode to copper electrode
c. Cations move toward copper electrode
D. Cations move toward zinc electrode
| 1 |
Chemistry
|
\( D \) and \( E \) are the mid-points of the sides
\( A B \) and \( A C \) of \( A B C \) and \( O \) is any point
on side \( B C . O \) is joined to \( A . \) If \( P \) and \( Q \)
are the mid-points of \( O B \) and \( O C \)
respectively, then \( D E Q P \) is:
A . a square
B. a rectangle
c. a rhombus
D. a parallelogram
| 2 |
Maths
|
Differentiate with respect to \( x \)
\( \boldsymbol{y}=\sin 2 \boldsymbol{x}-\boldsymbol{4} \boldsymbol{e}^{\boldsymbol{3}} \boldsymbol{x} \)
| 2 |
Maths
|
Write the principal value of \( \cos ^{-1}\left(\frac{1}{2}\right)- \) \( 2 \sin ^{-1}\left(-\frac{1}{2}\right) \)
| 2 |
Maths
|
A particle starts moving from rest from a fixed point in a fixed direction. The
distance \( s \) from the fixed point at a time
\( t \) is given by \( s=t^{2}+a t-b+17, \) where
\( a, b \) are real numbers. If the particle
comes to rest after 5 sec at a distance
of \( s=25 \) units from the fixed point
then values of \( a \) and \( b \) are respectively.
A .10,-33
B. -10,-33
c. -8,33
D. -10,33
| 2 |
Maths
|
\( 25.0 \mathrm{g} \) of \( F e S O_{4} .7 H_{2} O \) was dissolved in
water containing dilute \( H_{2} S O_{4} \) and the
volume was made up to 1.0 L. 25 mL of
this solution required 20 mL of an \( \frac{N}{10} K M n O_{4} \) solution for complete oxidation. The percentage of
\( F e S O_{4} \cdot 7 H_{2} O \) in the acid solution is:
A . \( 78 \% \)
B. \( 98 \% \)
c. \( 89 \% \)
D. \( 79 \% \)
| 1 |
Chemistry
|
A liquid A has specific heat capacity higher than the liquid B. Which liquid can be used as a coolant in car
radiators?
\( A \cdot A \)
B. B
c. Both can be used
D. Data insufficient
| 3 |
Physics
|
In which direction from Saptarshi (or Ursa Major,or Great bear) shown in the figure do we search for the pole star?
\[
\begin{array}{c}
\delta \\
\star \\
\dot{\gamma}
\end{array}
\]
SAPTARSHI
\( \mathbf{A} \cdot \alpha \) to \( \beta \)
B. \( \gamma \) to \( \delta \)
\( c \cdot \beta \) to \( \alpha \)
\( \mathbf{D} \cdot \delta \) to \( \gamma \)
| 3 |
Physics
|
Find the cube root of \( \frac{125}{216} \)
| 2 |
Maths
|
The gases evolved in the decomposition of lead nitrate are:
A. \( N_{2} O_{3}, N O \)
в. \( N O_{2}, O_{2} \)
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{3}, \mathrm{O}_{2} \)
D. \( N_{2} O, O_{2} \)
| 1 |
Chemistry
|
The IUPAC name is:
A. 2-ethyl-2-butanol
B. 3-Methyl-3-pentanol
c. 3-ethyl-3-methyl-3-pentanol
D. 1,1-diethyl ethanol
| 1 |
Chemistry
|
Construct two tangent to a circle of
radius \( 3.5 \mathrm{cm} \) from a point \( 4.5 \mathrm{cm} \) away from the circle.
| 2 |
Maths
|
Susceptibility is positive and large for a
A. paramagnetic substance
B. ferromagntic substance
c. diamagnetic substance
D. non magnetic substance
| 3 |
Physics
|
What is the frequency of A.C. in India?
| 3 |
Physics
|
With what speed should a bus travel so that it can cover a distance of \( 10 \mathrm{km} \) in 5
\( \min ? \)
\( A \cdot 60 \mathrm{km} / \mathrm{hr} \)
B. 10 km/hr
c. \( 12 \mathrm{km} / \mathrm{hr} \)
D. 120 km/hr
| 3 |
Physics
|
Why metal gets deposited at the negative pole when electric current is passed through a metal salt??
A. Metal is negatively charged.
B. Metal is positively charged.
c. Metal does not have any charges.
D. Both a and c.
| 1 |
Chemistry
|
Which of the following represents isostructural pairs?
\( \mathbf{A} \cdot\left[N F_{3}, N O_{3}^{-}\right] \) and \( \left[B F_{3}, H_{3} O^{+}\right] \)
B \cdot \( \left[N F_{3}, H N_{3}\right] \) and \( \left[N O_{3}^{-}, B F_{3}\right] \)
\( \mathbf{c} \cdot\left[N F_{3}, H_{3} O^{+}\right] \) and \( \left[N O_{3}^{-}, B F_{3}\right] \)
D・ \( \left[N F_{3}, H_{3} O^{+}\right] \) and \( \left[H N_{3}, B F_{3}\right] \)
| 1 |
Chemistry
|
Name the first organic compound that is prepared in laboratory?
| 1 |
Chemistry
|
If the function \( g(x) \) is defined by \( \boldsymbol{g}(\boldsymbol{x})=\frac{\boldsymbol{x}^{200}}{200}+\frac{\boldsymbol{x}^{199}}{199}+\frac{\boldsymbol{x}^{198}}{198}+\ldots .+ \)
\( \frac{x^{2}}{2}+x+5, \) then \( g^{\prime}(0)= \)
\( A \)
в. 200
\( c .100 \)
D. 5
| 2 |
Maths
|
Out of A-T, G-C pairing, bases of DNA may exist in alternate valency state owing to arrangement called as
A. Tautomerisational mutation
B. Analogue substitution
c. Point mutation
D. Frameshift mutation
| 0 |
Biology
|
ff \( P(x) \) is a polynomial of degree 3 such that \( P(i)=\frac{1}{i+1} \forall i=\{1,2,3,4\} \) then find \( P(5) \)
| 2 |
Maths
|
Which of the following reactions does not involve oxidation-reduction?
This question has multiple correct options
A \( \cdot 2 R b+2 H_{2} O \rightarrow 2 R b O H+H_{2} \)
в. \( 2 C u I_{2} \rightarrow 2 C u I+I_{2} \)
c. \( N H_{4} C l+N a O H \rightarrow N a C l+N H_{3}+H_{2} O \)
D. \( _{4 K C N}+F e(C N)_{2} \rightarrow K_{4}\left[F e(C N)_{6}\right] \)
| 1 |
Chemistry
|
\( (A) \) and \( (B) \) are:
\( A \)
\[
\mathbf{A} \text { and } \mathbf{B} \Rightarrow \mathbf{N} \equiv \mathbf{C} \ \prod_{\mathbf{O}}
\]
в.
\[
\mathbf{A} \text { and } \mathrm{B} \Rightarrow \mathbf{N} \equiv \mathrm{C} \overbrace{\mathrm{M}_{\mathrm{e}}}^{\mathrm{OH}} \mathbf{M}_{\mathrm{e}}
\]
\( c \)
\[
\begin{array}{c}
\mathbf{A} \Rightarrow \mathbf{N} \equiv \mathbf{C} \widehat{\|} \mathbf{N} \\
\mathbf{O} \\
\mathbf{B} \Rightarrow \mathbf{M} \mathbf{e}
\end{array}
\]
D.
\[
\mathbf{A} \Rightarrow \mathbf{N} \equiv \mathbf{C} \widehat{\mathbf{O}}
\]
\[
\mathrm{B} \Rightarrow \mathrm{Me} \overbrace{\mathrm{o}}^{\mathrm{OH}} \overbrace{\mathrm{Me}}^{\mathrm{M}}
\]
| 1 |
Chemistry
|
Salivary glands are modified into
poison glands in
A. Snakes
B. Lizard
c. Both A and B
D. None of the above
| 0 |
Biology
|
Assertion
If \( a>0 \) and \( b^{2}-4 a c<0 . \) then the
value of the integral \( \int \frac{d x}{a x^{2}+b x+c} \) will be of the type \( \mu \tan ^{-1}\left(\frac{x+A}{B}\right)+ \)
\( C ; \) where \( A, B, C, \mu \) are constant.
Reason
\( f\left(a>0, b^{2}-4 a c<0, \text { then } a x^{2}+b x+\right. \)
\( c \) can be written as sum of two squares.
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
|
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