AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
In some observations, value of 'g' are
coming as 9.81,9.80,9.82,9.79,9.78
9.84,9.79,9.78,9.79 and \( 9.80 m / s^{2} \)
Calculate absolute errors and
percentage error in \( \mathfrak{g} \)
A \( \cdot \quad \) 'g' \( =(9.80 \pm 0.014) \mathrm{m} / \mathrm{s}^{2} \)
B. 'g'= (9.8 ±0.14 ) \( m / s^{2} \)
c. \( \operatorname{tg}^{\prime}=(9.8 \pm 0.0014) m / s^{2} \)
D. 'g'= (9.8000 \( \pm 0.00014) \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
Points \( P, Q \) and \( R \) are in a vertical line such that \( \mathrm{PQ}=\mathrm{QR} \). A ball at \( \mathrm{P} \) is allowed to fall freely. The ratio of times of descent through \( \mathrm{PQ} \) and QR is
A . 1:
B. \( 1: \sqrt{2} \)
c. \( 1:(\sqrt{2}-1) \)
D. \( 1:(\sqrt{2}+1) \)
Subject: Chemistry
Assertion
Carbonate and hydroxide ores are concectrated by forth floatation
process.
Reason
In forth floatation process, mineral oil is used due to it preferentitally wets the gangue particles.
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
A food packet is released from a helicopter rising steadily at the speed of \( 2 m / s . \) After 2 seconds the velocity of the packet is (Take \( \boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2} \) ):
A \( .22 \mathrm{m} / \mathrm{s} \)
B. 20 \( m / s \)
c. \( 18 \mathrm{m} / \mathrm{s} \)
D. None of these
Subject: Chemistry
\( 200 \mathrm{ml} \) of \( 1 \mathrm{M} H C l \) is mixed with \( 400 \mathrm{ml} \)
of \( 0.5 \mathrm{M} \) NaOH.The temperature rise in
the calorimeter was found to be \( 4.0^{\circ} \mathrm{C} \)
Water equivalent of calorimeter is \( 25 g \)
and the specific heat of the solution is 1 cal/mL/degree. If the theoritical heat of neutralization of a strong acid and strong base is -13.5 kcal, then the
percentage error (as nearest integer) incurred in this experiment while calculating the heat of neutralization is
Subject: Physics
Assertion
Power of a glass convex lens in air is
\( +6 D, \) then power of the same convex lens in water will be \( +2 D \)
Reason \( \boldsymbol{P}=\left(\frac{\boldsymbol{\mu}_{l}}{\boldsymbol{\mu}_{\boldsymbol{m}}}-\mathbf{1}\right)\left(\frac{\mathbf{1}}{\boldsymbol{R}_{\mathbf{1}}}-\frac{\mathbf{1}}{\boldsymbol{R}_{2}}\right) \)
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Biology
Select the correct option:
Select the right option regarding the
given graph.
A. \( x \) - axis = Rate of reaction \( Y \) - axis = Enzymatic activity
B. \( x \) -axis = Enzymatic activity \( Y \) - axis = Rate of reaction
c. \( x \) -axis = Enzymatic activity \( Y \) - axis = pH/Temperature
D. \( x \) - axis = pH/Temperature
Y-axis = Enzymatic activity
Subject: Maths
The length and breadth of a rectangle (in \( \mathrm{cm} \) ) are \( \mathrm{x} \) and \( \mathrm{y} \) respectively \( \boldsymbol{x} \leq \) \( \mathbf{3 0}, \boldsymbol{y} \leq \mathbf{2 0}, \boldsymbol{x} \geq \mathbf{0} \) and \( \boldsymbol{y} \geq \mathbf{0} . \) If \( \mathbf{a} \)
rectangle has a maximum perimeter, then its area is \( \ldots \ldots \)
Subject: Physics
At what temperature is the Fahrenheit scale reading equal to twice of Celsius?
A \( \cdot 40^{\circ} \mathrm{C} \)
B . \( 160^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 80^{\circ} C \)
D. \( 100^{\circ} \mathrm{C} \)
Subject: Chemistry
For \( 2 A g^{+}+C_{6} H_{12} O_{6}+H_{2} O \rightarrow \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+\boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\mathbf{1 2}} \boldsymbol{O}_{\boldsymbol{7}}+\boldsymbol{2} \boldsymbol{H}^{+}, \) In K of the
change is:
\( \mathbf{A} \cdot 66.13 \)
B. 58.38
c. 28.30
D. 46.29
Subject: Physics
The focal lengths of the objective and the eyepiece of an astronomical telescope are \( 20 \mathrm{cm} \) and \( 5 \mathrm{cm} \) respectively. If the final image is formed at a distance of \( 30 \mathrm{cm} \) from the eyepiece, find the separation between the lenses required for distinct vision
A. 32.4 \( \mathrm{cm} \)
B. 42.3 cm
c. \( 24.3 \mathrm{cm} \)
D. 30.24 \( \mathrm{cm} \)
Subject: Chemistry
(D) \( \frac{(i) N H_{2} N H_{2}}{(i i) C_{2} H_{5} O N a} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{3} \)
\( D \) in the given reaction is:
A. Iso-propyl alcohol
B. Butanaldehyde
c. Acetone
D. None of these
Subject: Maths
In the following check the given value is a solution of the given equation or not \( \boldsymbol{x}^{2}-\boldsymbol{x}+\mathbf{1}=\mathbf{0}, \boldsymbol{x}=\mathbf{1}, \boldsymbol{x}=-\mathbf{1} \)
A . True
B. False
Subject: Maths
Distance of origin from line \( (1+ \) \( \sqrt{3}) y+(1-\sqrt{3}) x=10 \) along the line
\( \boldsymbol{y}=\sqrt{\mathbf{3}} \boldsymbol{x}+\boldsymbol{k} \) is
A \( \cdot \frac{5}{\sqrt{2}} \)
B. \( 5 \sqrt{2}+k \)
c. 10
D. 5
Subject: Maths
The general value of \( x \) for the equation
\( 9^{\cos x}-2.3^{\cos x}+1=0 \)
A \( . n \pi \)
в. \( \frac{n \pi}{2} \)
\( c \cdot 2 n \pi \)
D. \( (2 n+1) \frac{\pi}{2} \)
Subject: Physics
Spherical wavefronts, emanating from a
point source, Strike a plane reflecting surface. What will happen to these wave fronts, immediately after reflection?
A. They will remain spherical with the same curvature, both in magnitude and sign
B. They will become plane wave fronts
c. They will remain spherical, with the same curvature, but sign of curvature reversed
D. They will remain spherical, but with different curvature, both in magnitude and sign
Subject: Physics
The mass of earth is 80 times that of
moon and its diameter is double that of
moon. If the value of acceleration due to
gravity on earth is \( 9.8 m s^{-2} \) then the
value of acceleration due to gravity on
moon will be?
A \( \cdot 0.98 \mathrm{ms}^{-2} \)
В. \( 0.49 \mathrm{ms}^{-2} \)
c. \( 9.8 \mathrm{ms}^{-2} \)
D. \( 4.9 \mathrm{ms}^{-2} \)
Subject: Maths
The area bounded by parabola \( \boldsymbol{y}^{2}=\boldsymbol{x} \)
straight line \( y=4 \) and \( y-a x i s \) is-
A \( \cdot \frac{16}{3} \)
B. \( 7 \sqrt{2} \)
c. \( \frac{32}{3} \)
D. \( \frac{64}{3} \)
Subject: Physics
\( \mathbf{A} \)
\( 20 k g \) body is pushed with just
enough force to start it moving across a
floor and the same force continues to
act afterwards. The coefficient of static
and kinetic friction are \( 0.6 \& 0.2 \)
respectively. The acceleration of the
body is :
A \( \cdot 6 m / s^{2} \)
B . \( 1 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 2 m / s^{2} \)
D. \( 4 m / s^{2} \)
Subject: Physics
When force \( F \) acts on side of hexagonal
body for what range of coefficient of friction will body topple?
A \( \cdot \mu>\frac{1}{2 \sqrt{3}} \)
В. \( _{\mu}<\frac{1}{2 \sqrt{3}} \)
c. \( \mu>\frac{\sqrt{3}}{2} \)
D. \( _{\mu}<\frac{\sqrt{3}}{2} \)
Subject: Maths
If \( a, b, c \) are non-coplanar vectors, then
which of the following points are collinear whose position vectors are given by :
This question has multiple correct options
A. \( a-2 b+3 c, 2 a+3 b-4 c,-7 b+10 c \)
в. \( 3 a-4 b+3 c,-4 a+5 b-6 c, 4 a-7 b+6 c \)
c. \( 2 a+5 b-4 c, a+4 b-3 c, 4 a+7 b-6 c \)
D. \( 6 a-b-2 c, 2 a+3 b+2 c,-a-9 b+7 c \)
Subject: Chemistry
At \( 1000 \mathrm{K}, \) the equilibrium constants for
the following equilibrium are \( K_{1} \) and
\( \boldsymbol{K}_{2} \)
\( \operatorname{COCl}_{2}(g) \rightleftharpoons C O(g)+C l_{2}(g) ; K_{1}= \)
\( \mathbf{0 . 3 2 9} \)
\( 2 C O(g)+O_{2}(g) \rightleftharpoons 2 C O_{2}(g) ; K_{2}= \)
\( 2.24 \times 10^{22} \)
For the equilibrium, \( 2 C O C l_{2}(g)+O_{2}(g) \rightleftharpoons 2 C O_{2}(g)+ \)
\( 2 C l_{2}(g), \) the equilibrium constant \( K_{3} \)
is
A \( .2 .424 \times 10^{22} \)
В. \( 2.424 \times 10^{21} \)
c. \( 4.84 \times 10^{20} \)
D. 2.424 \( \times 10^{20} \)
Subject: Maths
The length of the sides of a triangle are \( \mathbf{2} \boldsymbol{x}+\frac{\boldsymbol{y}}{\mathbf{2}}, \boldsymbol{5} \frac{\boldsymbol{x}}{\mathbf{3}}+\boldsymbol{y}+\frac{\mathbf{1}}{\mathbf{2}}, \boldsymbol{2} \frac{\boldsymbol{x}}{\mathbf{3}}+\mathbf{2} \boldsymbol{y}+\frac{\mathbf{5}}{\mathbf{2}} \)
the triangle is equilateral. Then its
perimeter is \( \frac{m}{2} . \) Find \( m \)
Subject: Maths
The function \( \boldsymbol{f} \) defined by \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}- \)
\( 3 x^{2}+5 x+7, \) is:
A. increasing in \( R \)
B. decreasing in \( R \)
C . decreasing in \( (0, \infty) \) and increasing in \( (-\infty, 0) \)
D. increasing in \( (0, \infty) \) and decreasing in \( (-\infty, 0) \)
Subject: Physics
A force of \( 10 \mathrm{N} \) acts on a body for 3
microsecond \( (\mu s) . \) Calculate the impulse. If mass of the body is 5 g, calculate the change of velocity.
B . \( 3 \times 10^{-3} \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 8 \times 10^{-3} \mathrm{ms}^{-1} \)
D. \( 16 \times 10^{-3} \mathrm{ms}^{-1} \)
Subject: Chemistry
Calculate the pressure of \( C O_{2} \) gas at 700 K in heterogeneous equilibrium
reaction \( \boldsymbol{C a} \boldsymbol{C O}_{3}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+ \)
\( C O_{2}(g) \) if \( \Delta H \) for this reaction is
\( 130.2 k J \)
Subject: Maths
If \( \int_{a}^{b} f(t) g o h(t)= \)
\( \int_{a}^{b} f o h(t) g(t) d(t), \) where \( f, g, h, \) are
non negative continuous functions on
\( [a, b] \) then possible choice of \( h(t) \) is
This question has multiple correct options
\( \mathbf{A} \cdot t \)
B. \( a-b-t \)
c. \( a+b-t \)
D. \( b-t \)
Subject: Chemistry
Assertion
Polished iron nails do not rust when
kept immersed in a test tube
containing boil water covered with a
layer of oil.
Reason
Rust formation can be controlled with
coatings such as paint or varnish that isolate the iron from environment. When
only temporary protection is needed for
storage or transport a thin layer of oil, grease can be applied to an iron
surface
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 what angle will a ray of light be inclined on one face of an equilateral
prism, so that the emergen ray may graze
the second surface of the prism \( (\mu=2) \)
A \( \cdot 30^{\circ} \)
B . \( 90^{\circ} \)
c. \( 45^{\circ} \)
D. \( 60^{\circ} \)
Subject: Physics
In a YDSE, if the incident light consists
of two wavelengths \( \lambda_{1} \) and \( \lambda_{2} \), the slit separation is \( d \), and the distance
between the slit and the screen is \( D \)
the maxima due to each wavelength will coincide at a distance from the central
maxima, given by
A \( \frac{\lambda_{1}+\lambda_{2}}{2 D d} \)
в. \( _{\text {LCM of }} \frac{\lambda_{1} D}{d} \) and \( \frac{\lambda_{2} D}{d} \)
c. \( _{\left(\lambda_{1}+\lambda_{2}\right)} \frac{2 D}{D} \)
D. \( _{\text {HCF of }} \frac{\lambda_{1} D}{d} \) and \( \frac{\lambda_{2} D}{d} \)
Subject: Physics
In A.C. circuit in which inductance and
capacitance are joined in series, current is found to be maximum when
the value of inductance is \( 0.5 H \) and the
value of capacitance is \( 8 \mu F \). The angular frequency of applied alternating voltage will be
A. \( 400 \mathrm{Hz} \)
в. 500 на
c. \( 4000 \mathrm{Hz} \)
D. 5000 Hz
Subject: Chemistry
In Down's process for the extraction of sodium, the melting point of \( N a C l \) is
lowered from \( 803^{0} C \) to \( 600^{0} C \)
Choose the correct statement(s)
regarding this.
a) It is done in order to avoid
vapourisation of metallic sodium.
b) It is done in order to avoid corrosive
action of sodium and chlorine on the
vessel at the high temperature.
c) It is done by mixing sufficient
amounts of \( \boldsymbol{C a} \boldsymbol{C l}_{2} \)
A. Only a is correct
B. Only a and b are correct
c. Only a and c are correct
D. All a, b and c are correct
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}1 & -2 \\ 5 & -3\end{array}\right], \) then \( A+A^{T} \) equals
A. \( \left[\begin{array}{cc}2 & 3 \\ 3 & -6\end{array}\right] \)
В. \( \left[\begin{array}{cc}2 & -4 \\ 10 & -6\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}2 & 4 \\ -10 & 6\end{array}\right] \)
D. None of these
Subject: Chemistry
Which of the following isomerization reactions is/are of the first order?
This question has multiple correct options
A. Cyclopropane \( \rightarrow \) Propane
B. cis-But-2-ene \( \rightarrow \) Trans-but-2-ene
c. vinyl allyl ether \( \rightarrow \) Pent-4-enal
D. \( C H_{4} N C \rightarrow C H_{3} C N \)
Subject: Physics
A short bar magnet is placed with its south pole pointing geographic North at a
place where \( B_{H}=0.4 \) gauss. The length
of the magnet is \( 10 \mathrm{cm} \) and pole strength
is \( 16 A-m \). The distance of each null
point from the centre will be
A. \( 0.2 m \) on axial line
B. \( 0.8 \mathrm{cm} \) on axial line
c. \( 0.4 \mathrm{cm} \) on axial line
D. \( 0.2 \mathrm{cm} \) on equitorial line
Subject: Chemistry
Dead burnt plaster is :
A. \( \operatorname{CaSO}_{4} \)
в. \( \operatorname{CaSO}_{4} .12 \mathrm{H}_{2} \mathrm{O} \)
\( \mathrm{c} \cdot \mathrm{CaSO}_{4} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( \operatorname{CaSO}_{4} .2 \mathrm{H}_{2} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{c}-\mathbf{1} \\ \mathbf{2} \\ \mathbf{3}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{lll}-\mathbf{2} & -\mathbf{1} & -\mathbf{4}\end{array}\right] \)
If trace of matrix \( A B \) is -12 , then the
value of \( k \)
\( A \cdot 7 \)
B.
\( c \cdot 2 \)
D. none of these
Subject: Chemistry
If the speed of light is \( 3.0 \times 10^{8} \mathrm{m} s^{-1} \)
calculate the distance covered by light
in 2.00 ns.
\( A \cdot 0.6 m \)
B. 0. 3 \( m \)
c. \( 0.9 \mathrm{m} \)
D. 1.2 \( m \)
Subject: Maths
Find the value of \( ^{\prime} x^{\prime} \) and \( ^{\prime} y^{\prime} \) for the equations \( \frac{a^{2}}{x}-\frac{b^{2}}{y}=0 ; \frac{a^{2} b}{x}+\frac{b^{2} a}{y}= \)
\( \boldsymbol{a}+\boldsymbol{b} \) where \( \boldsymbol{x}, \boldsymbol{y} \neq \mathbf{0} \)
A . \( x=a^{2}, y=b^{2} \)
B . \( x=b^{2}, y=a^{2} \)
c. \( x=\frac{b}{a}, y=\frac{a}{b} \)
D. \( x=\frac{1}{b}, y=\frac{1}{a} \)
Subject: Chemistry
The equilibrium constants of the reactions,
\[
\begin{array}{l}
\boldsymbol{S O}_{2}+\frac{1}{2} \boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{S O}_{2} \\
\boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{2}+\boldsymbol{O}_{2} \rightleftharpoons \boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{3}
\end{array}
\]
and \( K_{1} \) and \( K_{2} \) respectively. The
relationship between \( K_{1} \) and \( K_{2} \) is :
This question has multiple correct options
A \( \cdot K_{1}=K_{2} \)
B . \( K_{2}=K_{1}^{2} \)
c. \( K_{1}=\sqrt{K_{2}} \)
D. \( K_{2}=\sqrt{K_{1}} \)
Subject: Physics
Unpolarised light is passed through a
polaroid \( P_{1} . \) When this polarised beam
passes through another polaroid \( P_{2} \) and
if the pass axis of \( \boldsymbol{P}_{2} \) makes angle \( \boldsymbol{\theta} \)
with the pass axis of \( P_{1} \), then write the expression of intensity for the polarised
beam passing through \( P_{2} . \) Draw a plot showing the variation of intensity when \( \theta \) varies from 0 to \( 2 \pi \)
Subject: Chemistry
The IUPAC name of
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}(\boldsymbol{N O})\right] \boldsymbol{S} \boldsymbol{O}_{4} \) is penta
aquanitrosylium iron ( I) sulphate.
A. True
B. False
Subject: Physics
A weightless rod is acted on by upward parallel forces of \( 2 N \) and \( 4 N \) on ends \( A \)
and \( B \) respectively. The total length of
the rod \( A B=3 m . \) To keep the rod in
equilibrium a force of \( 6 N \) should act in
the following manner:
A. Downwards at any point between \( A \) and \( B \).
B. Downwards at mid point of \( A B \).
c. Downwards at a point \( C \) such that \( A C=1 m \).
D. Downwards at a point \( C \) such that \( B C=1 m \).
Subject: Chemistry
Which of the following pairs of compounds of carbon will undergo combustion as well as addition
reactions?
A. \( C H_{4} \) and \( C_{2} H_{6} \)
в. \( C_{2} H_{6} O \) and \( C_{3} H_{8} \) O
c. \( C_{2} H_{4} O_{2} \) and \( C_{3} H_{6} O \)
D. \( C_{2} H_{2} \) and \( C_{3} H_{6} \)
Subject: Maths
A circular wire of radius \( 42 \mathrm{cm} \) is cut
and bent it into the form of rectangle whose sides are in the ratio of \( 6: 5 . \) The
smaller side of the rectangle is
\( A .30 \mathrm{cm} \)
B. \( 60 \mathrm{cm} \)
\( c .72 \mathrm{cm} \)
D. \( 132 \mathrm{cm} \)
Subject: Physics
The magnetic field at a distance x on the axis of a circular coil of radius \( \mathrm{R} \) is
\( \frac{1}{8} \) th of that at the centre.The value of \( x \)
is
A \( \cdot \frac{R}{\sqrt{3}} \)
в. \( \frac{2 R}{\sqrt{3}} \)
c. \( R \sqrt{3} \)
D. \( R \sqrt{2} \)
Subject: Chemistry
There are two paths to prepare a compound \( (\boldsymbol{A})(2-\text { methyl }-\text {hex }- \)
1en \( -3-\text { yne }) . \) Which of the following
statements is correct?
A. Path \( I \) is feasible
B. Path \( I I \) is feasible
c. Both paths are feasible
D. Both paths are not feasible
Subject: Maths
The number of factors (excluding 1 and the expression itself) of the product of \( \boldsymbol{a}^{7} \boldsymbol{b}^{4} \boldsymbol{c}^{3} \) def where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}, \boldsymbol{d}, \boldsymbol{e}, \boldsymbol{f} \) are all
prime numbers is
A. 1278
B. 1360
c. 1100
D. 1005
Subject: Physics
Two conducting spheres, each given a
charge \( q \) are kept far apart as shown. The amount of charge that crosses the
switch \( S_{1}, \) where it is closed, is (the
connection between the spheres is
conducting)
A . \( \underline{q} \) 3
в. \( \frac{2 q}{3} \)
\( c \cdot \frac{3 q}{4} \)
D. Zero
Subject: Maths
Verify that \( y^{2}=4 a(x+a) \) is a solution
of the differential equation
\( \boldsymbol{y}\left\{1-\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{2}\right\}=\boldsymbol{2} \boldsymbol{x} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
Subject: Physics
Two parallel conductors are placed at
right angles to metre scale, at the 2 cm
and \( 6 \mathrm{cm} \) marks, as shown. They carry
currents of \( 1 A \) and \( 3 A \) respectively as
shown in fig. They will produce zero magnetic field at the
A. Zero mark
B. \( 10 \mathrm{cm} \) mark
c. \( 3 c m \) mark
D. \( 6 \mathrm{cm} \) mark
Subject: Maths
\( \int(e x)^{x}(2+\log x) d x=\ldots .+c, x \in \)
\( \boldsymbol{R}^{+}-\{\mathbf{1}\} \)
\( \mathbf{A} \cdot x^{x} \)
B. \( (e x)^{x} \)
\( \mathbf{c} \cdot e^{x} \)
D \( \cdot(1+\log x)(e x)^{x} \)
Subject: Physics
In an experiment on the specific heat of a metal, a \( 0.20 \mathrm{kg} \) block of the metal at
\( 150^{\circ} \mathrm{C} \) is dropped in a copper calorimeter (of water equivalent \( 0.025 k g \) ) containing \( 150 c m^{3} \) of water
\( \operatorname{at} 27^{\circ} \mathrm{C} . \) The final temperature is \( 40^{\circ} \mathrm{C} \)
Compute the specific heat of the metal. If heat losses to the surroundings are not negligible, is your answer greater or smaller than the actual value for specific heat of the metal?
Subject: Physics
Assertion
Bohr had to postulate that the electrons in stationary orbits around the nucleus
do not radiate.
Reason
According to classical physics all moving electrons radiate.
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: Chemistry
The correct order of boiling point for
primary \( \left(1^{\circ}\right), \) secondary \( \left(2^{\circ}\right) \) and
tertiary \( \left(3^{\circ}\right) \) alcohols is:
A \( \cdot 1^{\circ}>2^{\circ}>3^{\circ} \)
B . \( 3^{\circ}>2^{\circ}>1^{\circ} \)
\( \mathbf{c} \cdot 2^{o}>1^{\circ}>3^{\circ} \)
D . \( 2^{\circ}>3^{\circ}>1^{\text {о }} \)
Subject: Chemistry
A certain weak acid has dissociation
constant of \( 1.0 \times 10^{-4} . \) The equilibrium
constant for its reaction with a strong
base is:
A \( \cdot 1.0 \times 10^{-4} \)
B . \( 1.0 \times 10^{-10} \)
c. \( 1.0 \times 10^{10} \)
D. \( 1.0 \times 10^{-14} \)
Subject: Maths
If \( A \) is a scalar matrix with scalar \( k \neq 0 \)
of order \( 3, \) then \( k A^{-1} \) is:
A \( \cdot \frac{1}{k} I \)
в. \( \frac{1}{k^{2}} \)
\( c \cdot k^{2} I \)
D. \( \frac{1}{k^{3}} \)
Subject: Physics
A compass needle whose magnetic moment is \( 60 A m^{2} \) pointing geographical north at a certain place
where the horizontal component of earth's magnetic field is \( 40 \times 10^{-6} \mathrm{Wb} \)
\( m^{-2} \) experiences a torque of \( 1.2 \times 10^{-3} \)
N m. The declination of the place is?
A \( \cdot 20^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 30^{\circ} \)
Subject: Physics
Adjacent graph shows the variation of velocity of a rocket with time. Find the
time of burning of fuel from the graph
\( \left(g=10 m / s^{2}\right) \)
A \( .10 \mathrm{sec} \)
B. 110 sec
\( \mathrm{c} \cdot 120 \mathrm{sec} \)
D. Cannot be estimated from the graph
Subject: Maths
The value of
\( \frac{(\mathbf{1 1 9})^{2}+(\mathbf{1 1 9})(\mathbf{1 1 1})+(\mathbf{1 1 1})^{\mathbf{2}}}{(\mathbf{1 1 9})^{\mathbf{3}}-(\mathbf{1 1 1})^{\mathbf{3}}} \) is
\( A \)
B. \( \frac{1}{8} \)
\( c \cdot 230 \)
D. \( \frac{1}{23} \)
Subject: Maths
If \( I \) is the center of a circle inscribed in
a triangle \( A B C, \) then \( |B C| I A+ \) \( |\boldsymbol{C A}| \boldsymbol{I B}+|\boldsymbol{A B}| \boldsymbol{I C} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( I A+I B+I C \)
c. \( \frac{I A+I B+I C}{3} \)
D. \( \frac{I A+I B+I C}{2} \)
Subject: Chemistry
\( D- \) mannose \( \stackrel{H O^{-}}{\rightleftharpoons} D-g l u c o s e \stackrel{H O}{\rightleftharpoons} \)
A Product \( (A) \) of above reaction is:
A . \( D- \) fructose
B. \( D- \)talose
\( \mathbf{C} \cdot D-i d o s e \)
D. \( D- \) glucose
Subject: Physics
A wheel is rolling without slipping on a horizontal plane with velocity \( \boldsymbol{v} \)
and acceleration a of centre of mass as
shown in figure. Acceleration at
This question has multiple correct options
A. \( A \) is vertically upwards
B. \( B \) may be vertically downwards
c. \( C \) cannot be horizontal
D. a point on the rim may be horizontal leftwards
Subject: Maths
If \( \mathbf{3} \boldsymbol{A}-\mathbf{2 B}=\left(\begin{array}{cc}\mathbf{1} & \mathbf{- 2} \\ \mathbf{3} & \mathbf{0}\end{array}\right) \) and \( \mathbf{2} \boldsymbol{A}- \)
\( \mathbf{3} \boldsymbol{B}=\left(\begin{array}{cc}\mathbf{- 3} & \mathbf{3} \\ \mathbf{1} & \mathbf{- 1}\end{array}\right) \) then find \( \boldsymbol{B} \)
Subject: Maths
If the tangents \( P A \) and \( P B \) are drawn from the point \( \mathbf{P}(-1,2) \) to the circles \( x^{2}+y^{2}+x-2 y-3=0 \) and \( C \) is the
centre of the circle, then the area of the
quadrilateral PACB is
A .4
B. 16
c. does not exist
D. 12
Subject: Maths
For any two rational numbers \( x \) and \( y \) which of the following is/are correct, if \( x \)
is positive and \( y \) is negative?
(1) \( \boldsymbol{x}<\boldsymbol{y} \)
(2) \( x=y \)
(3) \( x>y \)
A. Both 1 and 2
B. Both 2 and 3
c. only 3
D. 1,2 and 3
Subject: Physics
a germanium crystal with arsenic \( (Z= \)
33). A second semi-conductor Y is made
by doping germanium with indium \( Z=49 \). The two are joined end to end
and connected to a battery as shown.
Which of the following statements is
correct-
A. \( x \) is \( p \) -type, \( Y \) is \( n \) -type and the junction is forward biased
B. \( x \) is \( n \) -type, \( Y \) is \( p \) -type and the junction is forward biased
c. \( x \) is \( p \) -type, \( Y \) is \( n \) -type and the junction is reverse biased
D. \( x \) is \( n \) -type, \( Y \) is \( p \) -type and the junction is reverse biased