AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Consider the four statements below
concerning limiting reactants in chemical systems. Identify the one that correctly describes the role of the limiting reactant.
A. The limiting reactant is the one with the greatest coefficient in the balanced equation
B. The limiting reactant determines the overall order of reaction in the rate law
c. The limiting reactant is the one with the smallest coefficient in the balanced equation
D. The limiting reagent is the reactant that is completely used up in a reaction,
Subject: Maths
For a journey the cost of a child ticket is
\( \frac{1}{3} \) rd of the cost of an adult ticket. If the
\( \operatorname{cost} \) of tickets for 4 adults and 5
children is Rs. 85 , the cost of a child
ticket is
A. Rs.
B. Rs. 6
c. Rs. 10
D. Rs. 15
Subject: Maths
Two supplementary angles are in the ratio 7: 11 , then the angles are
A. \( 70^{\circ}, 120^{\circ} \)
В. \( 60^{\circ}, 120^{\circ} \)
\( \mathbf{c} \cdot 70^{\circ}, 110^{\circ} \)
D. \( 50^{\circ}, 130^{\circ} \)
Subject: Physics
If electron charge e, electron mass \( \mathrm{m} \) speed of light in vacuum c and Planck's constant \( h \) are taken as fundamental
constant \( h \) are taken as fundamental
quantities, the permeability of vacuum
\( \mu_{0} \) can be expressed in units of
\( ^{\mathrm{A}} \cdot\left(\frac{m c^{2}}{h e^{2}}\right) \)
в. \( \left(\frac{h}{m e^{2}}\right) \)
c. \( \left(\frac{h c}{m e^{2}}\right) \)
D \( \cdot\left(\frac{h}{c e^{2}}\right) \)
Subject: Chemistry
The ion \( A^{n+} \) is oxidised to \( A O_{3}^{-} \) by
\( M n O_{4}^{-} \) changing to \( M n^{2+} \) in acid
medium. Given that \( 2.68 \times 10^{-3} \) mole of
\( A^{n+} \) required \( 1.61 \times 10^{-3} \) mole \( M n O^{-} \)
What is the value of n?
Subject: Maths
If \( b_{i}=1-a_{i}, n a=\sum_{i=1}^{n} a_{i}, n b= \)
\( \sum_{i=1}^{n} b_{i} \quad, \) then \( \sum_{i=1}^{n} a_{i} b_{i}+ \)
\( \sum_{i=1}^{n}\left(\boldsymbol{a}_{i}-\boldsymbol{a}\right)^{2}= \)
\( \mathbf{A} \cdot a b \)
B. \( -n a b \)
c. \( n a b \)
D. \( (n+1) a b \)
Subject: Chemistry
Which set of molecules is polar?
A. \( \operatorname{XeF}_{4}, I F_{7}, S O_{3} \)
в. \( P C l_{5}, C_{6} H_{6} \)
c. \( \operatorname{sn} C l_{2}, s O_{2}, N O_{2} \)
D. \( C O_{2}, C S_{2}, C_{2} H_{6} \)
Subject: Physics
The figure shows the displacementtime graph of a particle executing SHM. If the time period of oscillation is \( 2 s \) then the equation of motion is given by
\( \boldsymbol{x}=\boldsymbol{z} \sin (\boldsymbol{\pi} \boldsymbol{t}+\boldsymbol{\pi} / \boldsymbol{6}) . \) Find \( \boldsymbol{z} \)
Subject: Biology
Assertion
A change in nitrogen base at the third
position of a codon causes change in
the expression of the codon.
Reason
A codon is mostly read by all the three nitrogen bases.
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
Subject: Physics
At \( 100^{\circ} \mathrm{C}, \) resistance of a conducting
coil is \( 4.2 \Omega . \) If the temperature
coefficient of resistance is \( 0.004^{\circ} \mathrm{C} \)
what will be the resistance of \( 0^{\circ} \mathrm{C} \) ? (in
ohm
\( A \cdot 3 \)
B. 5
\( c \cdot 4 \)
D. 3.5
Subject: Biology
Which one of the following statements in regard to the excretion by the human kidneys is correct?
A. Descending limb of loop of Henle is impermeable to water
B. Distal convoluted tubule is incapable of reabsorbing \( N a^{+} \) ions
c. Nearly 99 percent of the glomerular filtrate is reabsorbed by the rental tubules.
D. Ascending limb of loop of Henle is impermeable to electrolytes.
Subject: Maths
In the following figure; \( A B \) is the largest
side and \( B C \) is the smallest side of
triangle \( A B C . \) Write the angles \( x^{0}, y^{0} \)
and \( z^{0} \) in ascending order of their
values.
A \( \cdot y^{0}<z^{0}<x^{0} \)
В . \( z^{0}<y^{0}<x^{0} \)
c. \( z^{0}>y^{0}>x^{0} \)
D. \( z^{0}>x^{0}>y^{0} \)
Subject: Maths
If a metallic cuboid weighs \( 16 \mathrm{kg} \), how much would a miniature cuboid of
metal weigh, if all dimensions are
reduced to one-fourth of the original?
A. \( 0.25 k g \)
B. \( 0.50 k g \)
c. \( 0.75 k g \)
D. \( 1 k g \)
Subject: Physics
Two bodies of mass m and \( 4 \mathrm{m} \) are
attached with string as shown in the figure. The body of mass m hanging
from a string of length I is executing
oscillations of angular amplitude \( \boldsymbol{\theta}_{\mathbf{0}} \)
while the other body is at rest. The
minimum coefficient of friction
between the mass \( 4 \mathrm{m} \) and the
horizontal surface should be
\( \mathbf{A} \)
B \( \cdot 2 \cos ^{2}\left(\frac{\theta_{0}}{2}\right) \)
c. \( \left(\frac{1-\cos \theta_{0}}{3}\right) \)
D.
Subject: Chemistry
Assertion
Bromoacetic acid reacts with conc.
NaOH to form \( \alpha \) -ethoxy acetic acid.
Reason
It is \( S_{N} 1 \) mechanism.
Read the above assertion and reason
and choose the correct statement
regarding it.
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
Subject: Physics
Figure represents a negatively charged gold leaf electroscope. The distribution of charges on the different parts will be
as:
A. \( A, D \) and \( E \) will have positive charges. \( B \) and \( C \) will have no charge
B. A, D and E will have negative charges. B and C will have no charge
C. \( A, D \) and \( E \) will have negative charges. B and \( C \) will have positive charges.
D. A, D and E will have positive charges. B and C will have negative charges
Subject: Physics
Magnification \( m= \)
This question has multiple correct options
\( \mathbf{A} \cdot \mathbf{v} / \mathbf{u} \)
B. u/v
\( \mathbf{c} \cdot h_{0} / h_{i} \)
\( \mathbf{D} \cdot h_{i} / h_{0} \)
Subject: Maths
Assertion
The possible dimension of a matrix
consisting 27 elements is 4
Reason
The number of ways of expressing 27 as a product of two positive integers is 4
A. Both Assertion \& Reason are individually correct \& Reason is correct explanation of Assertion,
B. Both Assertion \& Reason are individually true but Reason is Not the correct explanation of Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct.
Subject: Chemistry
Assertion: The S-S-S bond angle in \( S_{8} \)
molecule is \( 105^{\circ} \)
Reason \( : S_{8} \) has V-shape.
A. If both assertion and reason are true and the reason is correct explanation of the assertion
B. If both assertion and reason are true but reason is not 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
Subject: Biology
Select the mis-matched pair in the
following.
(a) Biomagnification- Accumulation of chemicals at the successive trophic
levels of a food
chain.
(b) Ecosystem- Biotic components of environment
(c) Aquarium- A man-made ecosystem.
(d) Parasites- Organisms which obtain
food from other living organisms.
\( A \cdot(a) \) and \( (b) \)
B. Only (b)
c. \( (a),(b) \) and \( (c) \)
D. Only (d)
Subject: Physics
\( \ln \) an \( A C \) circuit, the instantanceous
emf and current are given by
\( e=100 \sin 30 t, i=\sin \left(30 t \frac{\pi}{4}\right) \)
In one cycle of \( A C, \) the average power consumed by the circuit and the wattles current are, respectively
A. 50,0
B. 50,10
c. \( \frac{1000}{\sqrt{2}}, 10 \)
D. \( \frac{50}{\sqrt{2}}, 0 \)
Subject: Chemistry
Hydrolysis of 1 mol of peroxodisulphuric
acid produces:
A. 2 mol of sulphuric acid.
B. 2 mol of peroxomono sulphuric acid.
C. 1 mol of sulphuric acid and 1 mol of peroxomono sulphuric acid.
D. 1 mol of sulphuric acid, 1 mol of peroxomono sulphuric acid, and 1 mol of hydrogen peroxide.
Subject: Physics
Assertion
\( C_{P} \) is always greater than \( C_{V} \) in gases.
Reason

Work done at constant pressure is more
than at constant volume.
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.
Subject: Physics
If \( R \) is the radius of a planet, \( g \) is the acceleration due to gravity then find the mean density of the planet
A \( \cdot \frac{3 g}{4 G \pi R} \)
в. \( \frac{3 g}{8 G \pi R} \)
c. \( \frac{2 g}{4 G \pi R} \)
D. \( \frac{6 g}{4 G \pi R} \)
Subject: Maths
\( \cos ^{2} A+\cos ^{2}\left(120^{\circ}+A\right)+ \)
\( \cos ^{2}\left(120^{\circ}-A\right)= \)
A \( \cdot \frac{3}{2} \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{3}{18} \)
D.
Subject: Chemistry
The rate constant of a first order
reaction is 0.0693 min\( ^{-1} \)
Time (in minutes) required for reducing
an initial concentration of 20 mol \( l i t^{-1} \)
to 2.5 mol \( l i t^{-1} \) is :
A . 40
B. 30
c. 20
D. 10
Subject: Maths
Assertion
If the value of mode and mean are 60
and 66 respectively, then the value of median is 64
Reason
Median \( =\frac{1}{2}(\bmod e+2 \text { mean }) \)
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
Subject: Maths
Given a triangle with unequal sides, if is the set of all points which are equidistant from \( \mathrm{B} \) and \( \mathrm{C} \), and \( \mathrm{Q} \) is the set of all points which are equidistant from sides \( A B \) and \( A C, \) then what is the
intersection with \( \mathrm{Q} \) equal to?
Subject: Chemistry
Select the correct statements amount
the following:
1. Complexes \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+},\left[\boldsymbol{M} \boldsymbol{n} \boldsymbol{C l}_{4}\right]^{2+},\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \)
are all paramagnetic
2. Complexes \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3} \boldsymbol{4}\right)\right]^{2+},\left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{N})_{4}\right]^{2-},[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{D} \boldsymbol{M} \)
are all square planner
3. The correct stability order of the complexes will be \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{3}\right]^{3+}< \)
\( \left[\boldsymbol{F e}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{3}\right)\right]^{3-}<\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{3}\right]^{3-} \)
4. \( \left[\boldsymbol{C r}(\boldsymbol{e n})_{3}\right]^{3+} \) exist in the three isometric forms
A. Only 1 is correct
B. 1,3 and are correct
c. 2 and 4 are correct
D. 1,2 and 3 are correct
Subject: Physics
A capacitor is charged by a cell of emf \( \boldsymbol{E} \)
and the charging battery is then removed. If an identical capacitor is now inserted in the circuit in parallel with the previous capacitor, the potential difference across the new capacitor is :
\( A \cdot 2 E \)
в. \( E \)
c. \( E / 2 \)
D. zero
Subject: Physics
In the figure shown, the springs are
connected to the rod at one end and at
the midpoint. The rod is hinged at its
lower end. Rotational SHM of the rod
(Mass \( \boldsymbol{m} \), length \( \boldsymbol{L} \) ) will occur only if
\( \mathbf{A} \cdot k>m g / 3 L \)
В. \( k>2 m g / 3 L \)
c. \( k>2 m g / 5 L \)
D. \( k>0 \)
Subject: Maths
\( \begin{array}{c}\text { If } \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}=\boldsymbol{\pi}, \text { then } \\ \left|\begin{array}{ccc}\sin (\boldsymbol{A}+\boldsymbol{B}+\boldsymbol{C}) & \sin \boldsymbol{B} & \cos C \\ -\sin \boldsymbol{0} & \boldsymbol{\operatorname { t a n }} \boldsymbol{A}\end{array}\right|= \\ \cos (\boldsymbol{A}+\boldsymbol{B}) \quad-\boldsymbol{\operatorname { t a n } \boldsymbol { A }} & \boldsymbol{0}\end{array} \mid \)
Subject: Maths
2K coins (K is an integer) each with probability P(O
\( ^{A} \cdot \frac{K}{2 K+1} \)
в. \( \frac{K+1}{2 K} \)
c. \( \frac{K+1}{2 K+1} \)
D. \( \frac{2 K}{K+1} \)
Subject: Physics
A block of mass \( m=0.1 \mathrm{kg} \) is released from a height of \( 4 \mathrm{m} \) on a curved smooth surface. On the horizontal surface, path
AB is smooth and path BC offers
coefficient of friction \( \mu=0.1 . \) If the impact of block with the vertical wall at
C be perfectly elastic, the total distance covered by the block on the horizontal surface before coming to rest will be :
\( \left(\operatorname{take} g=10 m / s^{2}\right) \)
A. \( 29 \mathrm{m} \)
B. 49 \( \mathrm{m} \)
c. \( 59 \mathrm{m} \)
D. \( 109 \mathrm{m} \)
Subject: Chemistry
\( a C u^{2+}(a q)+b I^{-}(a q) \rightarrow c C u I(s)+d I_{2}(s) \)
When the equation above is balanced and
all coefficients are reduced to lowest
whole-number terms, what will be the
coefficient for \( I^{-} \) ?
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
\( D \cdot 4 \)
\( E \cdot 5 \)
Subject: Chemistry
Difference between \( n^{t h} \) and \( (n+1)^{t h} \)
Bohr's radius of H atom is equal to it's
\( (n-1)^{t h} \) Bohr's radius. The value of \( n \)
is:
\( A \cdot 1 \)
B. 2
\( c \cdot 3 \)
D. 4
Subject: Chemistry
The vapour pressure of mercury is 0.002
\( \mathrm{mm} \) at \( 27^{\circ} \mathrm{C} \cdot \boldsymbol{H} \boldsymbol{g}(\boldsymbol{I}) \rightleftharpoons \boldsymbol{H} \boldsymbol{g}(\boldsymbol{g}) . \) The
value of equilibrium constant \( \boldsymbol{K}_{C} \) is:
A \( \cdot 1.07 \times 10^{-7} \)
B. \( 3.95 \times 10^{-5} \)
c. \( 8.12 \times 10^{-5} \)
D. \( 2.63 \times 10^{-6} \)
Subject: Chemistry
For the reaction, \( 2 N O(g)+2 H_{2}(g) \rightarrow \)
\( N_{2}(g)+2 H_{2} O(g) \) the rate expression
can be written in the following ways:
\( \left\{\boldsymbol{d t}\left[\boldsymbol{N}_{2}\right] / \boldsymbol{d} t\right\}= \)
\( \boldsymbol{k}_{1}[\boldsymbol{N} \boldsymbol{O}]\left[\boldsymbol{H}_{2}\right] ;\left\{\boldsymbol{d}\left[\boldsymbol{H}_{2} \boldsymbol{O}\right] / \boldsymbol{d} \boldsymbol{t}\right)= \)
\( \boldsymbol{k}[\boldsymbol{N} \boldsymbol{O}]\left[\boldsymbol{H}_{2}\right] \)
\( \{-\boldsymbol{d}[\boldsymbol{N} \boldsymbol{O}] / \boldsymbol{d} \boldsymbol{t}\}= \)
\( \boldsymbol{k}_{\mathbf{1}}^{\prime}[\boldsymbol{N} \boldsymbol{O}]\left[\boldsymbol{H}_{2}\right] ;\left\{-\boldsymbol{d}\left[\boldsymbol{H}_{2}\right] / \boldsymbol{d} t\right\}= \)
\( k_{1}^{\prime \prime}[N O]\left[H_{2}\right] \)
The relation ship between \( k, k_{1}, k_{1}^{\prime} \) and
\( k_{1}^{\prime \prime} \) is:
Subject: Maths
Differentiate the following w.r.t. \( \boldsymbol{x} \)
\( \tan x^{2} \)
A \( \cdot \sec ^{2}\left(x^{2}\right) \)
B. \( \sec ^{2}\left(x^{2}\right) 2 x \)
c. \( \sec ^{2}\left(x^{3}\right) 2 x \)
D. \( \tan ^{2}\left(x^{2}\right) 2 x \)
Subject: Biology
The sequence of communities of
primary succession in water is?
A. Phytoplankton, sedges, free-floating hydrophytes, rooted hydrophytes, grasses and trees
B. Phytoplankton, free-floating hydrophytes, rooted hydrophytes, sedges, grasses and trees
C. Free-floating hydrophytes, sedges, phytoplankton, rooted hydrophytes, grasses and trees
D. Phytoplankton, rooted submerged hydrophytes, floating hydrophytes, reed swamp, sedges, meadow and trees
Subject: Maths
Three roots of the equation, \( x^{4}-p x^{3}+ \)
\( \boldsymbol{q} \boldsymbol{x}^{2}-\boldsymbol{r} \boldsymbol{x}+\boldsymbol{s}=\boldsymbol{0} \) are \( \tan \boldsymbol{A}, \tan \boldsymbol{B} \boldsymbol{\&} \)
\( \tan C \) where \( A, B, C \) are the angles of \( a \) triangle. The fourth root of the bi
quadratic is
A \( \frac{s^{2}-s q+s}{r+(s-q) p} \)
B. \( \frac{s^{2}+s q+s}{r+(s+p) q} \)
c. \( \frac{s^{2}-s q+s}{r-(s-p) q} \)
D. \( \frac{s^{2}-s q-s}{r-(s-q) p} \)
Subject: Chemistry
Solutions \( A, B, C \) and \( D \) are
respectively \( 0.1 M \) glucose,
\( \mathbf{0 . 0 5} M N a C l, 0.05 M B a C l_{2} \) and
\( 0.1 M A l C l_{3} . \) Which one of the following
pairs is isotonic?
A. \( A \) and \( B \)
B. \( B \) and \( C \)
c. \( A \) and \( D \)
D. \( A \) and \( C \)
Subject: Maths
Assertion
In each of the three planes determined by two of the lines \( O A, O B, O C \) ( \( O \) being the origin), a straight line is drawn through \( O \) perpendicular to the third line.
The three lines so determined are
coplanar.
Reason
\( (a \times b) \times c+(b \times c) \times a+(c \times a) \times \)
\( b=0, \) where \( O A=a, O B=b \) and
\( \boldsymbol{O} \boldsymbol{C}=\boldsymbol{c} \)
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
Subject: Physics
The radii of the press plunger and the pump plunger are in the ratio \( 30: 4 . \) If an effort of 32 kgf acts on the pump plunger. Find the maximum effort the press plunger can overcome.
A. \( 1600 \mathrm{kgf} \)
B. 1700 kgf
c. \( 1800 \mathrm{kgf} \)
D. 1900 kgf
Subject: Maths
Assertion
A normal is drawn at a point \( \boldsymbol{P}(\boldsymbol{x}, \boldsymbol{y}) \) of \( \mathbf{a} \) curve. It meets the \( x \) -axis and the \( y \) -axis in point \( A \) and \( B \), respectively, such that \( \frac{1}{O A}+\frac{1}{O B}=1, \) where \( O \) is the
origin. The equation of such a curve passing through \( (\mathbf{5}, \mathbf{4}) \) is \( (x-1)^{2}+ \)
\( (y-1)^{2}=25 \)
Reason \( \boldsymbol{O A}=\boldsymbol{x}+\boldsymbol{y} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) and \( \boldsymbol{O} \boldsymbol{B}=\frac{\boldsymbol{x}+\boldsymbol{y} \frac{d \boldsymbol{y}}{d \boldsymbol{x}}}{\frac{d \boldsymbol{y}}{d \boldsymbol{x}}} \)
A. Both Assertion and Reason are correct and Reason 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
Subject: Chemistry
Given the reaction: \( N_{2}(g)+3 H_{2}(g) \rightleftharpoons \)
\( 2 N H_{3}(g)+22 k c a l \)
When 6 moles of \( N H_{3} \) are consumed to
produce nitrogen gas and hydrogen gas, determine the value of \( \Delta H \) for the
reverse reaction?
\( \mathbf{A} \cdot+22 k c a l \)
B . +66 kcal
c. -22 kcal
D. - 66 kcal
E . +33 kcal
Subject: Physics
A ray of monochromatic light in
incident on one refracting face of a
prism of angle \( 75^{\circ} . \) If passes through the prism and is incident on the other face at the critical angle. If refactive index of the material of the prism is \( \sqrt{2} \) the angle of incidence on the first face
of the prism is
A \( \cdot 30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 0^{\circ} \)
Subject: Maths
The complex number system, denoted
by \( C, \) is the set of all ordered pairs of
real numbers (that is, \( \boldsymbol{R} \times \boldsymbol{R} \) ) with the
operations of addition (denoted by \( +) \) which satisfy
A \( \cdot(a, b)+(c, d)=(a+d, b+c) \)
в. \( (a, b)+(c, d)=(a c-b d, b c-a d) \)
C. \( (a, b)+(c, d)=(a+c, b+d) \)
D. None of these
Subject: Physics
A particle is performing S.H.M. with
acceleration \( a=8 \pi^{2}-4 \pi^{2} x \) where \( x \) is
coordinate of the particle w.r.t. the origin. The parameters are in S.I. units. The particle is at \( x=-2 a t t=0 \) then
find the coordinate of the particle \( \boldsymbol{w} . \boldsymbol{r} . \boldsymbol{t} \)
origin at any time \( t \)
Subject: Physics
has a 250 mm diameter propeller that
discharges the water at a velocity of
\( 12 m / s . \) Given that the density of
seawater is \( 1030 \mathrm{kg} / \mathrm{m}^{3} . \) The effect of
propeller hub is negligible. The
magnitude of thrust produced \( \boldsymbol{F} \) is (in
\( N) \)
A. 1030
B. 2730
\( c \cdot 4660 \)
D. 98
Subject: Chemistry
The steps for the manufacture of nitric
acid by Ostwald process are given. Arrange them in sequence.
(a) Recirculation of nitric oxide
(b) Addition of \( H_{2} O \) to nitrogen dioxide
(c) Oxidation of nitric oxide
(d) Catalytic oxidation of ammonia
\( A \cdot d c b a \)
B. \( d \) c a \( b \)
\( c \cdot c d b a \)
D. \( \operatorname{cd} a b \)
Subject: Physics
Escape velocity from earth is 11.2km/sec. Another planet of same mass has radius \( \frac{1}{4} \) times that of earth. What is the escape velocity from this
planet?
A. \( 11.2 k m / \)sec
в. \( 44.8 k m / \)sec
c. \( 22.4 k m / \)sec
D. \( 5.6 k m / \)sec
Subject: Physics
A plate in the form of a semicircle of
radius \( R \) has a mass per unit area of \( k r \)
where \( k \) is a constant and \( r \) is the
distance form the centre of a straight
edge. By dividing plate into
semicircular rings find the centre of
mass of the plate from the centre of its straight edge.
A \( \cdot \frac{4 R}{3 \pi} \)
B. \( \frac{2 R}{\pi} \)
c. \( \frac{3 R}{2 \pi} \)
D. \( \frac{3 R}{4 \pi} \)
Subject: Physics
The dimensional formula for Areal
velocity is :
A \( \cdot M^{0} L^{-2} T^{-1} \)
B . \( M^{0} L^{-2} T^{1} \)
c. \( M^{0} L^{2} T^{-1} \)
D. \( M^{0} L^{2} T^{1} \)
Subject: Physics
Which of the following does not have the same dimensions as the Henry?
A. \( \frac{\text { joule }}{(\text { ampere })^{2}} \)
B. \( \frac{\text { tesla }-m^{2}}{(\text { ampere })^{2}} \)
c. ohm-second
D. \( \frac{1}{\text { Farad-second }} \)
Subject: Chemistry
The measured resistance of a
conductance cell was \( 100 \Omega .\left(M_{K C l}=\right. \)
\( 74.5 g m o l^{-1} \) and cell constant \( = \)
\( 1.25 \mathrm{cm}^{-1} \) ). If the specific conductance
\( \operatorname{in} \operatorname{oh} m^{-1} c m^{-1} \) is \( 125 \times 10^{-x}, \) then
what is the value of \( x ? \)
Subject: Physics
The volume of an air bubble increases by
\( x \% \) as it rises from the bottom of a lake to
its surface. If the height of the water barometer is \( \mathrm{H} \), the depth of the lake is
\( A \)
в. \( \frac{H x}{(100+x)} \)
\( c \cdot \frac{H x}{100} \)
D. 100 \( H / x \)
Subject: Physics
Two waves \( \boldsymbol{y}_{1}=\boldsymbol{A} \sin [\boldsymbol{k}(\boldsymbol{x}-\boldsymbol{c} \boldsymbol{t})] \) and
\( \boldsymbol{y}_{2}=\boldsymbol{A} \sin [\boldsymbol{k}(\boldsymbol{x}+\boldsymbol{c} \boldsymbol{t})] \) are superimposed
on a string. The distance between adjacent nodes is
Subject: Physics
A certain metallic surface is
illuminated with monochromatic.light of wavelength \( \lambda \) The stopping potential for photo electric .current for this light is \( 3 v \lambda \) if the same surface is
illuminated with light of wavelength 2
\( \lambda \) the stopping potential is \( v_{0} . \) The threshold wavelength for this surface for photo-electric is
A \( .4 \lambda \)
B. \( 5 \lambda \)
c. \( 6 \lambda \)
D. \( 7 \lambda \)
Subject: Chemistry
The aqueous solution of the following
salts will be colored in the case of
This question has multiple correct options
\( \mathbf{A} \cdot Z n\left(N O_{3}\right)_{2} \)
\( \mathbf{B} \cdot L i N O_{3} \)
\( \mathbf{c} \cdot \operatorname{Co}\left(N O_{3}\right)_{2} \)
\( \mathbf{D} \cdot C r C l_{3} \)
Subject: Maths
The projection of the vector \( \hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}+\hat{\boldsymbol{k}} \)
on the vector \( 4 \hat{i}-4 \hat{j}+7 \hat{k} \) is
A \( \cdot \frac{5}{19} \sqrt{5} \)
в. \( \frac{19}{9} \)
c. \( \frac{9}{19} \)
D. \( \frac{1}{19} \sqrt{6} \)
Subject: Physics
A short bar magnet placed with its axis at \( 30^{0} \) with a uniform external magnetic
field of \( 0.35 T \) experiences a torque of magnitude equal to \( 4.5 \times 10^{-2} \mathrm{N} \) m. The
magnitude of magnetic moment of the given magnet is
A \( \cdot 26 J T^{-1} \)
B . \( 2.6 J T^{-1} \)
c. \( 0.26 J T^{-1} \)
D. \( 0.026 J T^{-1} \)