text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
An air bubble of volume \( v_{0} \) is released by
a fish at a depth h in a lake. The bubble rises to the surface. Assume constant
temperature and standard atmospheric pressure \( P \) above the lake. The volume of
the bubble just before reaching the surface is (d is the density of water)
\( \mathbf{A} \cdot v_{0}+\frac{h g d}{P} \)
B. \( \frac{v_{0}(P+h g d)}{P} \)
c. \( \frac{v_{0}}{P}+h g d \)
D. \( \left(v_{0}+v_{0} d g\right) \)
| 3 |
Physics
|
Formalin is:
A. \( 60 \% \) solution of formaldehyde
B. \( 40 \% \) solution of formaldehyde
C. \( 30 \% \) solution of formaldehyde
D. \( 50 \% \) solution of formaldehyde
| 1 |
Chemistry
|
Let the \( x \) -z plane be the boundary between two transparent media. Medium 1 in \( z \geq 0 \) has a refractive index of \( \sqrt{2} \) and medium 2 with \( z<0 \) has refractive index of \( \sqrt{3} . \) A ray of light in medium 1 given by the vector \( \vec{A}= \) \( 6 \sqrt{3} \hat{i}+8 \sqrt{3} \hat{j}-10 \hat{k} \) is incident on the
plane of separation. The angle of refraction in medium 2 is:
A \( \cdot 45^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 75^{\circ} \)
D. \( 30^{\circ} \)
| 3 |
Physics
|
Assertion
In humans, the gamete contributed by the male determines whether the child
produced will be male or female.
Reason
Sex in humans in a polygenic trait
depending upon a cumulative effect of
some genes on \( X \) chromosome and
some on Y chromosome.
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
|
Write down the number of \( 3 d \) electrons
in each of the following ions:
\( \boldsymbol{T} \boldsymbol{i}^{2+}, \boldsymbol{V}^{2+}, \boldsymbol{C} \boldsymbol{r}^{3+}, \boldsymbol{M} \boldsymbol{n}^{2+}, \boldsymbol{F} \boldsymbol{e}^{2+}, \boldsymbol{F} \boldsymbol{e}^{3+}, \boldsymbol{C} \boldsymbol{o} \)
and \( C u^{2+} . \) Indicate how would you
expect the five \( 3 d \) orbitals to be
occupied for these hydrated ions (octahedral).
| 1 |
Chemistry
|
The Supreme Court ordered:
A. industries to switch to cleaner fuels like CNG (Compressed Natural Gas) and LPG (Liquefied Petroleum Gas)
B. the automobiles should switch over to unleaded petrol in the Taj zone
C. both \( A \) and \( B \)
D. none of these
| 1 |
Chemistry
|
Identify the mismatch of the following.
A. Photo diode - optical signal
B. LED - spontaneous emission
C. Diode laser - stimulated emission
D. Solar cell - electrical energy into light
E. Photo conducting cell - photo detector
| 3 |
Physics
|
The branch of chemistry which deals with the study of chemical reaction rate
is known as:
A. thermochemistry
B. electrochemistry
c. chemical kinetics
D. none of these
| 1 |
Chemistry
|
If (4,3) and (-4,3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.
A \( \cdot(0,-3-4 \sqrt{3}) \)
В. \( (0,3+4 \sqrt{3}) \)
c. \( (0,3-4 \sqrt{3}) \)
D. \( (0,-3+4 \sqrt{3}) \)
| 2 |
Maths
|
In which of the following compounds iron
has the lowest oxidation state?
\( \mathbf{A} \cdot F e(C O)_{5} \)
\( \mathbf{B} \cdot F e_{2} O \)
\( \mathbf{c} \cdot K_{4}\left[F e(C N)_{6}\right] \)
D \( \cdot F e S O_{4} \cdot\left(N H_{4}\right) S O_{4} \cdot 6 H_{2} O \)
| 1 |
Chemistry
|
\( \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{S}+\boldsymbol{X} \longrightarrow \boldsymbol{N} \boldsymbol{a}_{2}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{5}\right. \)
purple colc
The reason of color of \( X \) is :
A. d-d transition
B. charge transfer
c. colorless compound
D. None
| 1 |
Chemistry
|
Stack of thylakoids is known as:
A. Granum
B. Grana
c. Intergranum membrane
D. cristae
| 0 |
Biology
|
A plank with a body of mass \( m \) placed
on it starts moving straight up
according to the law \( y=a(1-\cos \omega t) \)
where \( y \) is the displacement from the
initial position, \( \omega=11 \) rad/s. What is
the force that the body exerts on the
plank?
| 3 |
Physics
|
The equation of a progressive wave is \( \boldsymbol{y}=\mathbf{0 . 0 5} \sin \left(\mathbf{2 0 0} \boldsymbol{t}-\frac{\boldsymbol{x}}{\mathbf{2}}\right) \) where \( \boldsymbol{x}, \boldsymbol{y} \) are
in metres and \( t \) in seconds, then
a ) velocity of wave is \( 100 m s^{-1} \)
b) maximum velocity of particle in the wave is \( 10 m s^{-1} \)
c) wavelength of wave is \( 4 \pi m \)
A. only a and c are true
B. only b and c are true
c. only a and b are true
D. a,b,c are true
| 3 |
Physics
|
Chlorine, bromine and iodine are
elements in Group VII of the Periodic Table.
Describe the trend in colour and
physcial state at room temperature and pressure as the atomic number
increases.
| 1 |
Chemistry
|
For reducing one mole of \( C r_{2} O_{7}^{2-} \) to
\( C r^{3+}, \) the charge required is:
A. \( 3 \times 96500 \) coulomb
В. \( 6 \times 96500 \) coulomb
c. 0.3 Faradays
D. 0.6 Faradays
| 1 |
Chemistry
|
Which compound in the above pair
undergoes faster \( \boldsymbol{S}_{N} \) 1 reaction?
| 1 |
Chemistry
|
Which one of the following is related to glucaric acid?
A. saccharin acid
B. saccharic acid
c. both A\&B
D. None of these
| 1 |
Chemistry
|
In the given figure the diameter of the biggest semi circle is \( 56 \mathrm{cm} \) and the
radius of the smallest circle is \( 7 \mathrm{cms} \)
The area of the shaded portion is
A \( \cdot 482 \mathrm{cm}^{2} \)
B. \( 462 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 654 \mathrm{cm}^{2} \)
D. \( 804 \mathrm{cm}^{2} \)
| 2 |
Maths
|
Two non-ideal batteries are connected
in series. Consider the following
statements:
(A) The equivalent emf is larger than either of the two emfs.
(B) The equivalent internal resistance is
smaller than either of the two internal
resistances
A. Each of A and B is correct
B. A is correct but B is wrong
C. B is correct but A is wrong
D. Each of A and B is wrong
| 3 |
Physics
|
Which of the following is a condensation homopolymer?
A. Nylon - 6
B. Nylon - 6, 6
c. Nylon - 6,10
D. Dacron
| 1 |
Chemistry
|
Study the following.List-I List-I
a) \( \vec{P} . \vec{Q} \quad \) I)pseudo vector
b) \( \vec{P} \times \vec{Q} \)
II) undefined
c) \( \overrightarrow{\mathbf{P}} \cdot(\overrightarrow{\mathbf{Q}} \cdot \overrightarrow{\boldsymbol{R}}) \)
III) A Scalar
d) \( \vec{P} \times(\vec{Q} \times \vec{R}) \)
IV) A vector
The correct match is:
A . A-IV B-III C-I D-II
B. A-II B-I C-III D-IV
c. A-III B-IV C-II D-I
D. A-I B-II C-IV D-III
| 3 |
Physics
|
Which of the statements about
Denaturation' given below are correct? Statements:
(i) Denaturation of proteins causes loss of secondary and tertiary structures of the protein.
(ii) Denaturation leads to the conversion of double strand of DNA into
single strand.
(iii) Denaturation affects primary
structure which gets destroyed.
A. (ii) and (iii)
B. (i) and (iii)
c. (i) and (ii)
D. (i), (ii) and (iii)
| 1 |
Chemistry
|
A metal rod has the length of \( 50 \mathrm{cm} \) at
\( 20^{\circ} \mathrm{C} . \) When it is heated to \( 95^{\circ} \mathrm{C} \), its
length becomes \( 50.06 \mathrm{cm} . \) Find the
length of the rod at \( 0^{\circ} \mathrm{C} \)
| 3 |
Physics
|
A brass disc and a carbon disc of same
radius are assembled alternatively to make a cylindrical conductor. The resistance of the cylinder is independent of the temperature. The ratio of thickness of the brass disc to
that of the carbon disc is \( \alpha \) is
temperature coefficient of resistance \( \& \)
Neglect linear expansion
A \( \cdot \frac{\alpha_{C} \rho_{C}}{\alpha_{B} \rho_{B}} \)
в. \( \frac{\alpha_{C} \rho_{B}}{\alpha_{B} \rho_{C}} \)
c. \( \frac{\alpha_{B} \rho_{C}}{\alpha_{C} \rho_{B}} \)
D. \( \frac{\alpha_{B} \rho_{B}}{\alpha_{C} \rho_{C}} \)
| 3 |
Physics
|
The distance between two places is 25
km. Write the magnitude of the measurement.
\( A \cdot k m \)
B. distance
\( c \cdot 25 \)
D. two
| 3 |
Physics
|
Frictional force is nearly negligible on:
A. Rough surfaces
B. Semi-smooth surfaces
c. Smooth surfaces
D. None of these
| 3 |
Physics
|
In the mathematical relation of
Freundlich adsorption isotherm, the value of \( \frac{1}{n} \) is \( 0 \leq \frac{1}{n} \leq 1 \)
A. True
B. False
| 1 |
Chemistry
|
Rich in lather, mixed with oil, blackbrown water that goes down the drains from \( _{\text {一一一一一一一一 }} \) is dirty. It is called
waste water.
A. sinks
B. toilets, showers
c. laundries
D. all of the above
| 1 |
Chemistry
|
State whether True or False.
(a) All rectangles are squares.
(b) All rhombuses are parallelograms.
(c) All squares are rhombuses and also rectangles.
(d) All squares are not parallelograms.
(e) All kites are rhombuses.
(f) All rhombuses are kites.
(g) All parallelograms are trapeziums.
(h) All squares are trapeziums.
| 2 |
Maths
|
What is the IUPAC symbol for Mendelevium?
A. Md
в. мп
c. ме
D. Mv
| 1 |
Chemistry
|
The point (s) moving upward is/are:
4
B
\( c \)
D
| 3 |
Physics
|
How many light years Alpha Centauri away from the Earth?
A . 1.29
B. 2.29
c. 3.29
D. 4.29
| 3 |
Physics
|
The minimum energy required to
launch a \( m \) kg satellite from earth's surface in a circular orbit at an altitude
of \( 2 R \) where \( R \) is the radius of earth, will
be:
\( \mathbf{A} \cdot 3 m g R \)
в. \( \frac{5}{6} \) mg \( R \)
c. \( 2 m g R \)
D. \( \frac{1}{5} m g R \)
| 3 |
Physics
|
Heat of neutralization is least when
A. \( \mathrm{NaOH} \) is neutralised by \( \mathrm{CH}_{3} \mathrm{COOH} \)
B. NaOH is neutralised by HCI
C. \( \mathrm{NH}_{4} \mathrm{OH} \) is neutralised by \( \mathrm{CH}_{3} \mathrm{COOH} \)
D. \( \mathrm{NH}_{4} \mathrm{OH} \) is neutralised by \( \mathrm{HNO}_{3} \)
| 1 |
Chemistry
|
Positive deviation from ideal behaviour
takes place because of :
A . molecular interaction between atoms and \( \frac{P V}{n R T}>1 \)
B. molecular interaction between atoms and \( \frac{P V}{n R T}<1 \)
C ' finite size of atoms and \( \frac{P V}{n R T}>1 \)
D tinite size of atoms and \( \frac{P V}{n R T}<1 \)
| 1 |
Chemistry
|
An element \( \boldsymbol{X} \) decays first by positron emission and then \( 2 \alpha \)
particles are emitted in succession. If the product nucleus has mass number 229 and atomic number 89
then the mass number and atomic
number of element \( \boldsymbol{X} \) are
A .237,93
в. 237,94
c. 238,93
D. 237,92
| 3 |
Physics
|
Write the correct IUPAC name of the
following compound.
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{3} \)
| 1 |
Chemistry
|
If \( p \) and \( q \) are non-collinear unit vectors
and \( |\boldsymbol{p}+\boldsymbol{q}|=\sqrt{\mathbf{3}}, \) then \( (\mathbf{2} \boldsymbol{p}-\boldsymbol{3} \boldsymbol{q}) \)
\( (3 p+q) \) is equal to
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( \frac{1}{3} \)
\( c \cdot-\frac{1}{3} \)
D. \( \frac{1}{2} \)
\( E \cdot-\frac{1}{2} \)
| 2 |
Maths
|
How does a solenoid behave like a
magnet? Can you determine the north
and south poles of a current-carrying
solenoid with the help of a bar magnet?? Explain.
| 3 |
Physics
|
Is 184 a term of the sequence \( 3,7,11, \ldots \)
\( ? \)
| 2 |
Maths
|
A piece of wood of mass 0.03 kg is
dropped from the top of a 100 m height
building. At the same time, a bullet of
mass \( 0.02 \mathrm{kg} \) is fired vertically upward,
with a velocity \( 100 m s^{-1}, \) from the
ground. The bullet gets embedded in the wood. Then the maximum height to
which the combined system reaches above the top of the building before
falling below is : \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} \boldsymbol{s}^{-2}\right) \)
A. \( 30 m \)
B. \( 10 m \)
c. \( 40 m \)
D. \( 20 m \)
| 3 |
Physics
|
In the adjoining figure, identify the pair of corresponding angles
| 2 |
Maths
|
The ratio of specific charges of an electron to that of a hydrogen ion is?
A .2: 1
B. 1: 1
c. 1: 1840
D. 1840: 1
| 3 |
Physics
|
State whether given statement is True or False
Two thin blankets are more warmer
than one thick blanket
A. True
B. False
| 3 |
Physics
|
The major product obtained on
interaction of phenol with sodium hydroxide and carbon dioxide is :
A. Benzoic acid
B. Salicylaldehyde
c. Salicylic acid
D. Phthalic acid
| 1 |
Chemistry
|
\( \infty \)
| 1 |
Chemistry
|
Enzyme catalysed reaction of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is a disproportionation redox process. If true enter 1 , else enter 0 .
\( A \)
| 1 |
Chemistry
|
Pure water is neutral to litmus.
A. True
B. False
| 1 |
Chemistry
|
Light described at a place by the equation \( \boldsymbol{E}=(\mathbf{1 0 0} \boldsymbol{V} / \boldsymbol{M}) \times[\sin (\mathbf{5} \times \)
\( \left.\mathbf{1 0}^{\mathbf{1 5}} \boldsymbol{s}^{-\mathbf{1}}\right) \boldsymbol{t}+\boldsymbol{\operatorname { s i n }}\left(\boldsymbol{8} \times \mathbf{1 0}^{\mathbf{1 5}} \boldsymbol{s}^{-\mathbf{1}}\right) \boldsymbol{t} \)
Falls on a metal surface having work function 2.0 e.V Calculate the maximum
kinetic energy of the photoelectrons
A . 3.27 ev
B. 5 ev
c. 1.27 ev
D. 2.5 ev
| 3 |
Physics
|
\( \mathrm{ff} \mathrm{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{2} \\ \mathbf{3} & \mathbf{0} \\ \mathbf{4} & \mathbf{1}\end{array}\right] \) and \( \mathrm{B}=\left[\begin{array}{lll}\mathbf{0} & \mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{2} & \mathbf{1} \\ \mathbf{2} & \mathbf{3} & \mathbf{1}\end{array}\right] \) find
BA. Can we find AB also?
| 2 |
Maths
|
toppr
Q Type your question
the following graphs violates the law of
conservation of energy?
3
\( c \)
\( D \)
| 3 |
Physics
|
If \( P \) represents radiation pressure,
represents speed of light and \( \mathrm{Q} \) represents radiation energy striking a
unit area per second, then non-zero
integers \( x, y \) and \( z, \) such that \( P^{x} Q^{y} c^{z} \) is dimensionless, may be
A. \( x=1, y=1, z=1 \)
B. \( x=1, y=-1, z=1 \)
c. \( x=-1, y=1, z=1 \)
D. \( x=0, y=0, z=0 \)
| 3 |
Physics
|
Time required to produce 1 kg of \( C l_{2} \) in
hrs is \( (40+x) . \) Find value of \( x \) (nearest
integer value).
| 1 |
Chemistry
|
If \( \vec{E}=E_{0} \cos (k z) \cos (\omega t) \hat{i} \) then \( \vec{B} \) for
electromagnetic wave is:
A \( \cdot \vec{B}=\frac{E_{0}}{C} \hat{k} \)
B・ \( \vec{B}=\frac{E_{0}}{C} \sin (k z) \sin (\omega t) \hat{\imath} \)
\( \mathbf{c} \cdot \vec{B}=\frac{E_{0}}{C} \sin (k z) \cos (\omega t) \hat{\jmath} \)
D・ \( \vec{B}=\frac{E_{0}}{C} \cos (k z) \sin (\omega t) \hat{\jmath} \)
| 3 |
Physics
|
In the given figure below, \( A D \) is a
diameter. \( O \) is the centre of the circle.
\( A D \) is parallel to \( B C \) and \( \angle C B D=32^{\circ} \)
Find \( \angle B E D\left(\text { in }^{\circ}\right) \)
| 2 |
Maths
|
Say true or false. The A.M. between \( (a-b)^{2} \) and \( (a+b)^{2} \)
is \( a^{2}+b^{2} \)
A. True
B. False
| 2 |
Maths
|
Atoms of two elements \( P \) and \( Q \) have 5
electrons in \( 2^{n d} \) shell and \( 3^{r d} \) shell
respectively. What will be the atomic
numbers of these elements?
A . 4: 15
B. 5: 15
\( c \cdot 7: 13 \)
D. 7: 15
| 1 |
Chemistry
|
Which of the following is a correct
statement:
This question has multiple correct options
A. Calamine is the ore of zinc
B. Pyrolusite is the ore of manganese
c. cassiterite is the ore of tin
D. Calcite is the ore of calcium
| 1 |
Chemistry
|
Blood and lymph are types of
A. Muscular tissue
B. Epithelial tissue
c. connective tissue
D. Permanent tissue
| 0 |
Biology
|
\( \boldsymbol{A}-(\boldsymbol{B} \cup \boldsymbol{C}) \)
\( \mathbf{A} \cdot\{1,6,7,8\} \)
в. \{3,4,5\}
\( c \cdot\{2\} \)
\( D . \) none
| 2 |
Maths
|
Sum of the series, \( x^{3}, x^{5}, x^{7}, \ldots \quad n \quad \) terms
\( (i f \quad x \neq \)
土1)。
| 2 |
Maths
|
Sodium forms an oxide containing one oxygen atom for every two atoms of sodium. What is the coefficient of
sodium in the balanced equation for the
reaction of sodium with oxygen to form this oxide?
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. 3
\( E .4 \)
| 1 |
Chemistry
|
Number of oxygen atoms required for complete oxidation of pyruvic acid is
A. 6
B. 12
\( c \cdot 3 \)
\( D \)
| 0 |
Biology
|
Three points charges are placed at the
corners of an equilateral triangle of side
\( L \) shown in the figure.
This question has multiple correct options
A. The potential at the centroid of the triangle is zero
B. The electric field at the centroid of the triangle is zero
C. The dipole moment of the system is \( \sqrt{2} q L \)
D. The dipole moment of the system is \( \sqrt{3} q L \)
| 3 |
Physics
|
If any one term of an arithmetic
progression along with the position of the term in the A.P. and the common
difference are known, then which of the
following can be found out
A. The first term
B. The term before the known term.
c. The term after the known term
D. All of the above
| 2 |
Maths
|
A man is pushing a car but it is not moving. Which of the following is correct about the situation?
A. Force is applied.
B. Force is not appliedd
c. Force may or may not be applied.
D. None of these.
| 3 |
Physics
|
The qualitative sketches I, II and III
given below show the variation of surface tension with molar
concentration of three different
aqueous solutions of \( \boldsymbol{K} \boldsymbol{C l}, \boldsymbol{C H}_{3} \boldsymbol{O H} \)
and \( \$ \$ \mathrm{CH}_{-}\{3\} \)
\( \left(\mathrm{CH}_{-}\{2\}\right)_{-}\{11\} 0 \mathrm{SO} \)
\{3\}\( \wedge\{-\} \mathrm{Na} \wedge\{+\} \$ \$ \) at
room temperature The correct assignment of the sketches
is
A \( \cdot I: K C l ; I I: C H_{3} O H ; I I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} \)
B . \( I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} I I: C H_{3} O H ; I I I: K C l \)
C. \( I: K C l ; I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} ; I I I: C H_{3} O H \)
D. \( I: C H_{3} O H ; I I: K C l ; I I I: C H_{3}\left(C H_{2}\right)_{11} O S O_{3}^{-} N a^{+} \)
| 1 |
Chemistry
|
\( 480 m l \) of \( 1.5 M \) non-electrolyte solution is mixed with 520 ml of \( 1.2 ~ M \)
non-electrolyte solution. What is the molarity of the final mixture?
A . \( 2.70 M \)
в. 1.344 М
c. \( 1.50 M \)
D. \( 1.20 M \)
| 1 |
Chemistry
|
Which phosphorus is used as a rat
poison?
A. White
B. Violet
c. Red
D. Black
| 1 |
Chemistry
|
A particle is moving in a circle of radius \( 4 \mathrm{cm} \) with constant speed of \( 1 \mathrm{cm} / \mathrm{s} \)
Find
(a) time period of the particle
(b) average speed, average velocity and average acceleration in a time interval from \( t=0 \) to \( t=T / 4 \). here \( T \) is the time
period of the particle. Give only their magnitudes
| 3 |
Physics
|
The largest possible square is inscribed
in a circle of circumference \( 2 \pi \) units.
The area of the square in square units
is
\( \mathbf{A} \cdot 4 \pi \sqrt{2} \)
В. \( 2 \pi \sqrt{2} \)
\( c \cdot \sqrt{2} \)
\( D \)
| 2 |
Maths
|
The number of ways in which four letters can be selected from the word
DEGREE' is
\( A \cdot 7 \)
B. 6
c. \( \frac{6 !}{3 !} \)
D. None of these
| 2 |
Maths
|
Chordates are distinguished form non
chordates by the presence of
A. Brain
B. Dorsal tubular hollow nerve cord
c. Ventral nerve cord
D. Dorsal nerve cord
| 0 |
Biology
|
The principle source of oxygen in
industry today is:
A. thermal dissociation of dinitrogen tetraoxide
B. electrolysis of nitric acid
C. reduction of nitrous oxide
D. fractional distillation of liquid air
| 1 |
Chemistry
|
Evaluate:
\( \int_{0}^{3} x^{2}+2 x d x \)
| 2 |
Maths
|
\( \mathbf{I f A}=(\mathbf{1}, \mathbf{2}, \mathbf{3}), \mathbf{B}=(\mathbf{2}, \mathbf{3}, \mathbf{4}) \) and \( \mathbf{C} \) is a
point of trisection of AB such that \( \mathbf{C}_{\mathbf{x}}+ \) \( \mathbf{C}_{\mathbf{y}}=\frac{\mathbf{1 3}}{\mathbf{3}} \) then \( \mathbf{C}_{\mathbf{z}}= \)
A \( \cdot \frac{10}{3} \)
B. \( \frac{11}{3} \)
c. \( \frac{11}{2} \)
D. 11
| 2 |
Maths
|
Hypertension occurs due to
A. Smoking
B. obesity
c. Stress
D. All of the above
| 0 |
Biology
|
Can rusting of iron nail occur in distilled water? Justify you answer.
| 1 |
Chemistry
|
\( \Delta A M T \sim \Delta A H E \cdot \ln \Delta A M T, M A= \)
\( 6.3 c m, \angle M A T=120^{\circ}, A T=4.9 \mathrm{cm} \)
\( \frac{M A}{H A}=\frac{7}{5} \) Construct \( \Delta A H E \)
| 2 |
Maths
|
Assertion
Use of ball bearings between two moving parts of a machine is a common
practice.
Reason
Ball bearings reduce vibrations and
provide good stability.
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
|
State whether true or false:
When light rays are incident on the eye, maximum deviation takes place at the
cornea.
A. True
B. False
| 3 |
Physics
|
An example of solid in non-aqueous solvent is :
A. sugar in Ethanol
B. blood
c. starch
D. sugar sol
| 1 |
Chemistry
|
\( \begin{array}{c}\text { If } \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}=\boldsymbol{\pi}, \text { then } \\ \left|\begin{array}{ccc}\sin (\boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}) & \sin \boldsymbol{B} & \cos C \\ -\sin \boldsymbol{0} & \boldsymbol{\operatorname { t a n }} \boldsymbol{A}\end{array}\right|= \\ \cos (\boldsymbol{A}+\boldsymbol{B}) \quad-\boldsymbol{\operatorname { t a n } \boldsymbol { A }} & \boldsymbol{0}\end{array} \mid \)
| 2 |
Maths
|
If \( 0 \leq x, y \leq 180^{\circ} \) and \( \sin (x-y)= \)
\( \cos (x+y)=\frac{1}{2}, \) then the values of \( x \)
and \( y \) are given by This question has multiple correct options
A. \( x=45^{\circ}, y=15^{\circ} \)
В. \( x=45^{\circ}, y=135^{\circ} \)
c. \( x=165^{\circ}, y=15^{\circ} \)
D. \( x=165^{\circ}, y=135^{\circ} \)
| 2 |
Maths
|
The P.M.F of a r.v. \( \boldsymbol{X} \) is \( \boldsymbol{P}(\boldsymbol{x})=\frac{1}{5} \) for \( \boldsymbol{x}= \)
\( 1,2,3, \dots 14,15 ; P(x)=0 \) otherwise
Find (i) \( \boldsymbol{E}(\boldsymbol{X})(\text { ii) } \boldsymbol{V} \boldsymbol{a} \boldsymbol{r}(\boldsymbol{X}) \)
| 2 |
Maths
|
State Gauss theorem and uses it to
derive the Coulomb's inverse square
law.
| 3 |
Physics
|
To purify impure sample of benzoic acid by the process of crystallization:
| 1 |
Chemistry
|
The structure in earthworm which
serves as a wedge to force open cracks in the soil is
A. Peristomium
B. Setae
c. Typhlosole
D. Prostomium
| 0 |
Biology
|
A car goes around uniform circular track of radius \( R \) at a uniform speed \( v \)
once in every \( T \) seconds. The
magnitude of the centripetal
acceleration is \( a_{C} \). If the car now goes uniformly around a larger circular track
of radius \( 2 R \) and experiences a
centripetal acceleration of magnitude
\( 8 a_{c}, \) then its time period is
A . \( 2 T \)
в. \( 3 T \)
c. \( T / 2 \)
D. 3 / 27
| 3 |
Physics
|
Which has the lowest anion to cation
size ratio?
A . \( L i F \)
В. \( N a F \)
c. \( C s I \)
D. \( C s F \)
| 1 |
Chemistry
|
From the following data, calculate, bond
energy of the \( F_{2}^{-} \) ion
\( \boldsymbol{F e}(\boldsymbol{g}) \rightarrow \boldsymbol{2} \boldsymbol{F}(\boldsymbol{g}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( \mathbf{1 5 6 . 9} \boldsymbol{k J} \)
II. \( \boldsymbol{F}^{-}(\boldsymbol{g}) \rightarrow \boldsymbol{F}_{2}(\boldsymbol{g}) \boldsymbol{e}^{-} ; \quad \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( \mathbf{3 3 3} \boldsymbol{k J} \)
III. \( \boldsymbol{F}_{2}^{-}(\boldsymbol{g}) \rightarrow \boldsymbol{F}_{2}(\boldsymbol{g}) \boldsymbol{e}^{-} ; \quad \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( \mathbf{2 9 0} \boldsymbol{k J} \)
A . \( 446.9 k J \)
в. \( 113.9 k J \)
c. \( 779.9 k J \)
D. \( 623.0 k J \)
| 1 |
Chemistry
|
The Fraunhoffer 'diffraction' pattern of a single slit is formed in the focal plane of a lens of focal length 1 m. The width of
slit is 0.3 mm. If third minimum is
formed at a distance of \( 5 m m \) from
central maximum, then wavelength of
light will be
\( \mathbf{A} \cdot 5000 \stackrel{\circ}{A} \)
B . 2500 , \( ^{\text {o }} \) A
\( \mathbf{c} \cdot 7500 \hat{A} \)
D. 8500 a
| 3 |
Physics
|
Which of the following ions having following electronic structure would have maximum magnetic moment?
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{3} \)
B . \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{5} \)
\( \mathbf{c} \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{7} \)
D \cdot \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{9} \)
| 1 |
Chemistry
|
Find the direction cosines of vector \( \vec{r} \)
which is equally inclined to \( O X, O Y \)
and \( O Z \). Find total number of such
vectors.
A \( \cdot \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} ; 6 \)
B. \( \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}} ; 8 \)
\( ^{\mathbf{C}} \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}} ; 8 \)
D. None of these
| 2 |
Maths
|
Why covalent character of lithium
halides follow the following order? \( \boldsymbol{L} \boldsymbol{i} \boldsymbol{I}>\boldsymbol{L} \boldsymbol{i} \boldsymbol{B} \boldsymbol{r}>\boldsymbol{L} \boldsymbol{i} \boldsymbol{C l}>\boldsymbol{L} \boldsymbol{i} \boldsymbol{F} \)
| 1 |
Chemistry
|
Foe the electrochemical cell:
\[
\begin{array}{c}
\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s}) \mid \boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{a} \boldsymbol{q}) \| \\
\boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q})\left|\boldsymbol{C l}_{2}(\boldsymbol{g})\right| \boldsymbol{P} \boldsymbol{t}(\boldsymbol{s}) \\
\text { Given }: \boldsymbol{E}_{\boldsymbol{Z n}^{2+} / Z \boldsymbol{n}}^{o}=-\mathbf{0 . 7 6} \boldsymbol{V} \boldsymbol{o l t} \\
\boldsymbol{E}_{\boldsymbol{C l}^{\prime} / \boldsymbol{C l}_{2}(\boldsymbol{g})}=-\mathbf{1 . 3 6} \boldsymbol{V} \boldsymbol{o l t} \boldsymbol{t}
\end{array}
\]
From these data one can deduce that:
A \( \cdot Z n+C l_{2} \rightleftharpoons Z n^{2+}+2 C l^{-} \) is a non-spontaneous
reaction at standard conditions
B . \( Z n^{2+}+2 C l^{-} \rightleftharpoons C l_{2}+Z n \) is a spontaneous reaction at
standard conditions with \( E_{c e l l}^{o}=2.12 \) volt.
C. \( Z n+C l_{2} \longrightarrow Z n^{2+}+2 C l^{-} \) is a spontaneous reaction
at standard conditions with \( E_{c e l l}^{o}=2.12 \) volt.
D. \( Z n+C l_{2} \longrightarrow Z n^{2+}+2 C l^{-} \) is a spontaneous reaction
at standard conditions with \( E_{c e l l}^{o}=0.60 \) volt.
| 1 |
Chemistry
|
The mechanism of the reaction
\( \mathbf{2} N \boldsymbol{O}+\boldsymbol{O}_{2} \rightarrow \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2} \) is:
\( N O+N O \underset{k_{-1}}{\Gamma} N_{2} O_{2}(\text { fast }) ; N_{2} O_{2}+ \)
\( O_{2} \stackrel{k_{2}}{\longrightarrow} 2 N O_{2}(s l o w) \)
The rate constant of the reaction is :
\( A \cdot(A) k_{2} \)
B . (В) \( k_{2} k_{1}\left(k_{-1}\right) \)
c. (с) \( k_{2} k \)
D.
(D) \( k_{2}\left(\frac{k_{1}}{k_{-1}}\right) \)
| 1 |
Chemistry
|
In the hydrogen atom, the energy difference between the states \( n=2 \) and
\( n=3 \) is \( \mathrm{E} \) eV. The ionisation potential of \( \mathrm{H} \)
atom is:
A. 3.2
в. 5.6 Е
\( c \cdot 7.2 E \)
D. 13.2 E
| 1 |
Chemistry
|
A wave travels out in all directions from
a point source. Justify the expression \( \boldsymbol{y}=\left(\boldsymbol{a}_{0} / \boldsymbol{r}\right) \sin \boldsymbol{k}(\boldsymbol{r}-\boldsymbol{v} \boldsymbol{t}), \) at a distance
from the source. Find the speed,
periodicity and intensity of the wave.
| 3 |
Physics
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.