AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
A person inhales 640 gm of \( O_{2} \) per day.
If all the \( O_{2} \) is used for converting sugar
into \( C O_{2} \) and \( H_{2} O, \) the sucrose
\( \left(C_{12} H_{22} O_{11}\right) \) consumed in gram in the
body in one day and the heat evolved are
Given: \( \left(\Delta \boldsymbol{H}_{\text {combustion of sucrose}}=\right. \)
\( \left.-5645 k J m o l^{-1}\right) \)
A. \( 250,8608.94 k J \)
B. \( 630,6552.52 k J \)
\begin{tabular}{l} 
с. \( 850,9522.21 k J \) \\
\hline
\end{tabular}
D. \( 570,9408.34 k J \)
Subject: Chemistry
Cobalt-60 is used to irradiate tumors
with \( \gamma \) -rays
\( _{27}^{60} C o \longrightarrow_{28}^{60} N i+_{-1}^{0} e+\gamma \)
Which is responsible for destroying cancer-cells?
A \( \cdot \gamma- \) rays
В. \( \alpha- \)rays
\( \mathbf{c} \cdot \beta-r a y s \)
D. None of these
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}=\boldsymbol{C H}_{2} \stackrel{C l-\boldsymbol{I}}{\longrightarrow} \boldsymbol{P}, \boldsymbol{P} \) is:
A. \( C H_{3}-C H I-C H_{2} C l \)
в. \( C H_{3} C H C l-C H_{2} I \)
c. \( C H_{3}-I C H C l-C H_{2} \)
D. \( C H_{3}-C H_{2}-I C H C l \)
Subject: Chemistry
During the electrolysis of carnallite, \( M g C l_{2} \) is decomposed and not \( K C l \)
This is because of :
A . Lower decomposition voltage of \( M g C l_{2} \) than that of \( K C l \)
B. Reverse reaction \( M g C l_{2}+2 K \rightarrow M g+2 K C l \) if \( K C l \) is decomposed under other experimental condition
c. Both (A) and (B)
D. None of the above
Subject: Chemistry
Which of the following is false?
This question has multiple correct options
\( \mathbf{A} \cdot C r^{2+}(g) \) ion has greater magnetic moment compared to \( C o^{3+}(g) \)
B. The magnitude of ionization potential of iron an-ion (monoanion) would be equal to electron gain enthalpy of iron.
C. Lanthanoids contraction is cause of lower I.P of \( P b \)
than \( S n \)
D. If successive ionization energy are \( 332,738,849,4080,4958 \text { (in } k J / m o l) \). Then this element can be of 15 th group.
Subject: Physics
Diodes \( D-1 \) and \( D_{2} \) shown in circuit
are silicon diodes.The voltage drop (V)
across the diode \( D_{2} \) and the power
dissipated (P) by this diode \( \left(D_{2}\right) \) are
\( \mathbf{A} \cdot V_{D_{2}}=0.7 V \) and \( P_{D_{2}}=0 W \)
B. \( V_{D_{2}}=5 V \) and \( P_{D_{2}}=0 W \)
\( \mathbf{C} \cdot V_{D_{2}}=0.7 V \) and \( P_{D_{2}}=0.7 W \)
D. \( V_{D_{2}}=5.0 V \) and \( P_{D_{2}}=5 W \)
Subject: Chemistry
For a cell reaction \( 2 H_{2}(g)+O_{2}(g) \longrightarrow \)
\( 2 H_{2} O(l) ; \triangle_{r} S_{298}^{\circ}=-0.32 k J / K . \) What
is the value of \( \triangle_{f} H_{298}^{\circ}\left(H_{2} O, l\right) ? \)
Given \( \quad O_{2}(g)+4 H^{+}(a q .)+4 e^{-} \longrightarrow \)
\( 2 H_{2} O(l) ; \quad E^{0}=1.23 V \)
A. \( -285.07 k J / \) mol
в. \( -570.14 \mathrm{kJ} / \mathrm{mol} \)
c. \( 285.07 k J / \) mol
D. None of these
Subject: Maths
If the centre \( O \) of circle is the
intersection of \( x- \) axis and line \( y= \) \( \frac{4}{3} x+4, \) and the point (3,8) lies on
circle, then the equation of circle will be
A \( \cdot x^{2}+y^{2}=25 \)
B - \( (x+3)^{2}+y^{2}=25 \)
c. \( (x+3)^{2}+y^{2}=100 \)
D. \( (x+3)^{2}+(y-8)^{2}=100 \)
Subject: Physics
In an adiabatic change, the pressure and temperature of a monoatomic gas
are related as \( \boldsymbol{P} \propto \boldsymbol{T}^{C}, \) where \( \boldsymbol{C} \) equals
A
в. \( \frac{5}{2} \)
\( c \cdot \frac{3}{5} \)
D.
Subject: Chemistry
An electron is accelerated to one-tenth
the velocity of light. Suppose its velocity can be measured with a precision of \( 1 \% \) what must be the uncertainty in position?
A. \( 2.13 \times 10^{-10} \)
B . \( 1.93 \times 10^{-10} \)
c. \( 3.85 \times 10^{-10} \)
D. \( 1.52 \times 10^{-10} \)
Subject: Chemistry
The number of oxygen atoms in 1 mol of the tetrahydrocannabinol is where, \( N_{A}=6.023 \times 10^{23} \)
A \( .2 N_{A} \)
в. \( N_{A} \)
\( c \cdot 3 N_{A} \)
D. \( 4 N_{A} \)
Subject: Physics
A jet plane is travelling towards west at a speed of \( 1800 \mathrm{km} / \mathrm{h} \). What is the
voltage difference developed between the ends of the wing having a span of \( 25 m, \) if the Earth's magnetic field at the location has a magnitude of \( 5 \times \)
\( 10^{-4} T \) and the dip angle is \( 30^{\circ} \)
\( \begin{array}{ll}\text { A } & \text { 0.31 }\end{array} \)
в. 3.1
\( c \cdot 5 v \)
D. 10
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{rr}\mathbf{4} & -\mathbf{2} \\ \mathbf{5} & -\mathbf{9}\end{array}\right) \) and \( \boldsymbol{B}=\left(\begin{array}{cc}\mathbf{8} & \mathbf{2} \\ \mathbf{- 1} & -\mathbf{3}\end{array}\right) \)
find \( \mathbf{6} \boldsymbol{A}-\mathbf{3} \boldsymbol{B} \)
Subject: Chemistry
The concentration of \( A g^{+} \) in a saturated
solution of \( A g_{2} C r O_{4} \) at \( 20^{0} C \) is \( 1.5 \times \)
\( 10^{-4} \)mol\( L^{-1} . \) The solubility product of
\( A g_{2} C r O_{4} \) at \( 20^{0} C \) is \( ? \)
B . \( 1.75 \times 10^{-10} \)
c. \( 3.0 \times 10^{-8} \)
D. \( 4.5 \times 10^{-10} \)
Subject: Physics
A body thrown vertically up reaches a maximum height of 50 m. Another body with double the mass thrown up with
double the initial velocity will reach a maximum height of :
A . \( 100 \mathrm{m} \)
B. 200 \( \mathrm{m} \)
c. \( 400 \mathrm{m} \)
D. 50 \( m \)
Subject: Physics
Assertion
If light enters from medium- 1 into
medium-2 and bends towards the
normal, its wavelength in medium-2 is smaller than its wavelength in medium-
1
Reason
According to Cauchy's relation, \( \mu= \) \( A+\frac{B}{\lambda^{2}} \)
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
For the following grouped frequency distribution find the mode:
\( \begin{array}{llll}\text { Class: } & \begin{array}{l}3- \\ 6\end{array} & \begin{array}{l}\text { 6- } \\ \text { 9 }\end{array} & \begin{array}{l}\text { 9- } \\ 12\end{array}\end{array} \) 15
Frequency:
:
2 5
10
23
Subject: Chemistry
Balance the following equations in acidic medium by both oxidation number and ion electron methods and
identify the oxidants and the
reductants :
\( M n O_{4}^{-}(a q)+C_{2} H_{2} O_{4}(a q) \rightarrow \)
\( M n^{2+}(a q)+C O_{2}(g)+H_{2} O(l) \)
Subject: Maths
Construct a cyclic quadrilateral \( \boldsymbol{P} \boldsymbol{Q} \boldsymbol{R} \boldsymbol{S} \)
in which \( \boldsymbol{P Q}=\mathbf{5} \mathrm{cm}, \boldsymbol{Q} \boldsymbol{R}=\boldsymbol{6} \mathrm{cm}, \boldsymbol{P} \boldsymbol{R} \)
\( =3.5 \mathrm{cm} \) and \( R S=5 \mathrm{cm} \)
Subject: Chemistry
The function of boiling the sodium
extract with conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) before testing the halogen is:
A. to convert \( F e^{++} \) into \( F e^{++}+ \)
B. to make solution clear
c. to make solution acidic
D. to destroy cyanide and sulphide ions
Subject: Maths
Which one of the following function is continuous everywhere in its domain but has at least one point where it is not
differentiable?
A \( . f(x)=x^{1 / 3} \)
в. \( f(x)=\frac{|x|}{x} \)
\( \mathbf{c} \cdot f(x)=e^{-x} \)
D. \( f(x)=\tan x \)
Subject: Maths
The range of the function \( f(x)= \)
\( \sin ^{-1}\left(x^{2}-2 x+2\right) \)
\( A \cdot \phi \)
B. \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
c. \( \frac{\pi}{2} \)
D. none of these
Subject: Biology
Q Type your question
Which out of the following statements
is incorrect regarding this?
\( =\sqrt{3} \)
\( =11 \)
A. A continuous high osmotic concentration is maintained in region \( \mathrm{P} \), which loads a sieve tube element by passively transporting solute molecules into it
B. R shows the movement of \( H_{2} O \) into sieve tube
elements from nearby xylem vessels by osmosis
C. Translocation of organic solutes take place from region P with high turgor pressure to region Q with low turgor pressure
D. In region \( Q \), material is either consumed or is converted into insoluble storage forms resulting in decreased osmotic pressure
Subject: Chemistry
Assertion
Although \( P F_{5}, P C l_{5} \) and \( P B r_{5} \) are
known, the pentahalide of nitrogen has not been observed.
Reason
Phosphorus has lower electronegativity than nitrogen.
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
A sample of water from a large swimming pool has a resistance of \( 9200 \Omega \) at 25 of NaCl wear dissolved in
the pool, which was throughly stirred. A sample of this solution gave a resistance at \( 7600 \Omega \). calculate the
volume of water in the pool
Given: Molar conductor of NaCl at that
concentration is \( 126.5 \Omega^{-1} c m^{2} m o l^{-1} \)
and molar conductivity of KCl at \( 0.02 \mathrm{M} \) is \( 138 \Omega^{-1} c m^{2} \) mol \( ^{-1} \) and resist is 85
\( \Omega^{-1} \)
Subject: Physics
Mass of thin long metal rod is \( 2 \mathrm{kg} \) and its moment of inertia about an axis
perpendicular to the length of rod and
passing through its one end is \( 0.5 k g m^{2} \) Its radius of gyration is:
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 40 \mathrm{cm} \)
c. \( 50 \mathrm{cm} \)
D. \( 1 m \)
Subject: Physics
If the angle of a prism is \( 60^{\circ} \) and angle
of minimum deviation is \( 40^{\circ}, \) then the
angle of refractive in the prism will be
A \( .30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 50^{\circ} \)
D. 20
Subject: Chemistry
What will be the molarity of \( 30 m L \) of
\( 0.5 M H_{2} S O_{4} \) solution diluted to
\( 500 m L ? \)
\( \mathbf{A} \cdot 0.3 M \)
в. \( 0.03 M \)
\( c .3 M \)
D. \( 0.103 M \)
Subject: Physics
Specific heat of water is \( 4.2 J / g^{o} C . \) I
light of frequency \( 3 \times 10^{9} H z \) is used to
heat \( 400 g m \) of water from \( 20^{\circ} \mathrm{C} \) to
\( 40^{\circ} \mathrm{C}, \) the number of photons needed
will be?
A . \( 1.69 \times 10^{29} \)
B. \( 1.69 \times 10^{28} \)
C \( \cdot 2.80 \times 10^{4} \)
D. \( 2.80 \times 10^{5} \)
Subject: Physics
The impedance of a series L-C-R circuit
in an AC circuit is
A \( \cdot \sqrt{R+\left(X_{L}-X_{C}\right)} \)
B . \( \sqrt{R^{2}+\left(X_{L}^{2}-X_{C}^{2}\right)} \)
\( c \cdot c \)
D. None of these
Subject: Physics
A point moves along a circle having a radius \( 20 c m \) with a constant tangential
acceleration \( 5 \mathrm{cm} s^{-2} . \) How much time
is needed after motion begins for the normal acceleration of the point to be
equal to tangential acceleration?
A . \( 1 \mathrm{s} \)
B. 2
\( c \cdot 3 s \)
D. 4 s
Subject: Chemistry
The electron configuration for \( \boldsymbol{C u} \) is
\( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{1} 3 d^{10} \)
Based on the electron configuration,
what can be said about the relative
ionization energies of the electrons in
\( \boldsymbol{n}=\mathbf{3} ? \)
A. The ionization energies gradually decrease from sto p to d subshells
B. The ionization energies gradually increase from s to \( \mathrm{p} \) to d subshells
C. The ionization energies are relatively the same from s to p to d subshells.
D. The ionization energies are unpredictable at this energy level.
Subject: Chemistry
Calculate the \( p H \) of a \( 2.0 M \) solution of
\( N H_{4} C l .\left[K_{b}\left(N H_{3}\right)=1.8 \times 10^{-5}\right] \)
A. \( p H=4.477 \)
в. \( p H=7.455 \)
D. \( p H=11.46 \)
Subject: Physics
The equation of a wave propagating along a stretched string is given by \( \boldsymbol{Y}=\boldsymbol{4} \sin 2 \boldsymbol{\pi}[(\boldsymbol{t} / \mathbf{0} . \mathbf{0} \mathbf{2})-(\boldsymbol{x} / \mathbf{1 0 0})] \)
where \( Y \) and \( x \) are in \( \mathrm{cm} \) and \( t \) in
second. Determine wavelength.
Subject: Physics
A convex lens forms a real image three
times larger than the object on a screen Object and screen are moved until the
image becomes twice the size of the
object. If the shift of the object is \( 6 \mathrm{cm} \)
The shift of screen is
\( \mathbf{A} \cdot 36 c m \)
B. \( 72 \mathrm{cm} \)
\( \mathbf{c} \cdot 18 c m \)
D. 9 cm
Subject: Chemistry
\( K_{P} \) for the reaction \( N_{2}+3 H_{2} \rightleftharpoons \)
\( 2 N H_{3} \) at \( 400 C \) is \( 1.64 \times 10^{-4} . \) Find \( K_{C} \)
Also find \( \triangle G^{\oplus} \) using \( K_{P} \) and \( K_{C} \)
values and interpret the differences.
A. \( K_{C}=0.025 \) \( \triangle G^{\oplus}=+11.733 k c a l \)
в. \( K_{C}=2.001 \) \( \triangle G^{\oplus}=+19.249 k c a l \)
c. \( K_{C}=0.5006 \) \( \triangle G^{\oplus}=+11.733 k c a l \)
D. \( K_{C}=1.5 \) \( \triangle G^{\oplus}=+15.22 k c a l \)
Subject: Chemistry
On the bases of Le-Chatelier's principle predict which of the following conditions would be unfavourable for
the formation of \( S O_{3} ? \) Given that
\( 2 S O_{2}+O_{2} \rightleftharpoons 2 S O_{3} ; \Delta H=42 K C a l \)
A. Low pressure and low temperature
B. High pressure and low temperature
c. Low temperature and low pressure
D. High concentration of \( S O_{2} \).
Subject: Physics
A condenser of capacity \( C \) is charged to
a potential difference of \( V_{1} \). The planes
of the condenser are then connected to
an ideal inductor of inductance \( L \). The
current through the inductor when the
potential difference across the
condenser reduces to \( V_{2} \) is ?
A \( \cdot \frac{C\left(V_{1}^{2}-V_{2}^{2}\right)}{L} \)
B. \( \frac{C\left(V_{1}^{2}+V_{2}^{2}\right)}{L} \)
\( \left(\frac{C\left(V_{1}^{2}-V_{2}^{2}\right)}{L}\right)^{1 / 2} \)
\( \left(\frac{C\left(V_{1}-V_{2}\right)^{2}}{L}\right)^{1 / 2} \)
Subject: Physics
A potentiometer wire has length \( 4 \mathrm{m} \) and resistance \( 8 \Omega . \) The resistance that
must be connected in series with the
wire and an accumulator of e.m.f \( 2 \mathrm{V}, \) so as to get a potential gradient \( 1 \mathrm{mV} \) per \( \mathrm{cm} \) on the wire is
A . \( 44 \Omega \)
B. \( 48 \Omega \)
\( c .32 \Omega \)
D. \( 40 \Omega \)
Subject: Chemistry
The conversion of a keto form into enol
is enolisation. It depends on
structural factor, temperature and nature of solvent. Resonance and
hydrogen bonding increases eno content. Enolic form of phenol is more stable than keto form by -13 kcal/mole of energy hence phenol exist exclusively as an enol. Enolic tautomer is less polar
due to intramolecular hydrogen bonds than the corresponding keto form.Any polar solvent would decrease the enolisation and favour keto form intramolecular hydrogen bonding stablized enol form by 7 kcal/mole and resonance stabilizes enol form by
15 kcal/mole
Which one of the following compounds has maximum enol content?
A. \( C H_{3} C O C H_{2} C O O C H_{3} \)
в. \( C H_{3} C O C H_{2} C O O C_{2} H_{5} \)
c. \( C H_{3} C O C H_{2} C O C H_{3} \)
D. \( C_{6} H_{5} C O C H_{2} C O C_{6} H_{5} \)
Subject: Maths
For the matrix \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{5} \\ \mathbf{6} & \mathbf{7}\end{array}\right], \) verify that
(i) \( \left(A+A^{\prime}\right) \) is a symmetric matrix
(ii) \( \left(A-A^{\prime}\right) \) is a skew symmetric
matrix.
Subject: Chemistry
\( \boldsymbol{H}_{2}+\boldsymbol{B} \boldsymbol{r}_{2} \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \)
The rate law is \( \frac{d x}{d t}=k\left[H_{2}\right]^{1 / 2}\left[B r_{2}\right]^{1 / 2}: \)
On increasing the concentration of \( B r_{2} \)
four times, by how much times the rate of reaction will change?
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D.
Subject: Chemistry
In an estimation of sulphur by Carius
method 0.2175 g of the substance gave 0.5825 g of barium sulphate. Calculate then percentage of sulphur in the compound.
A . \( 30.12 \% \)
B. \( 42.22 \% \)
c. \( 36.78 \% \)
D. 45.36\%
Subject: Maths
In a bolt factory, three machines \( A, B \) and \( C \) manufacture 25,35 and 40
percent of the total bolts respectively. Out of the total bolts manufactured by
the machines 5,4 and 2 percent are
defective from machine \( A, B \& C \)
respectively. A bolt is drawn at random and is found to be defective. Find the
probability that it was manufactured by
(i) Machine A or \( C \)
(ii) Machine B.
Subject: Maths
\( x \) \( \begin{array}{ccccc}\mathbf{2} & \mathbf{3} & \mathbf{5} & \mathbf{6} & \mathbf{1 0} \\ 15 & 10 & b & 5 & 3\end{array} \) \( y \)
Identify the inverse proportional
quantities.
\( \mathbf{A} \cdot 4 \)
B. 5
\( \mathbf{c} \cdot \mathbf{6} \)
D. 10
Subject: Chemistry
Which of these molecules have non-
bonding electron pairs on the central
atom?
\( \mathbf{I}: \boldsymbol{S} \boldsymbol{F}_{\mathbf{4}} \quad \|: \boldsymbol{I} \boldsymbol{C} \boldsymbol{l}_{3} \)
\( \| \mathrm{II}: \boldsymbol{S} \boldsymbol{O}_{2} \)
A. II only
B. I and II only
c. I and III only
D. I, II and III
Subject: Maths
It is known that \( \sum_{r=1}^{\infty} \frac{1}{(2 r-1)^{2}}=\frac{\pi^{2}}{8}, \) then
\( \sum_{r=1}^{\infty} \frac{1}{r^{2}} \) is equal to
A \( \cdot \frac{\pi^{2}}{24} \)
B. \( \frac{\pi^{2}}{3} \)
c. \( \frac{x^{2}}{6} \)
D. none of these
Subject: Maths
The value of \( \lim _{n \rightarrow \infty} \cos \frac{x}{2} \cos \frac{x}{2^{2}} \ldots \cos \frac{x}{2^{n}} \)
is
A . 1
B. \( \frac{\sin x}{x} \)
c. \( \frac{x}{\sin x} \)
D. none of these
Subject: Physics
A jet plane is travelling towards west at a speed of \( 1600 \mathrm{km} / \mathrm{h} \). What is the voltage difference developed between
the ends of the wing having a span of 25 \( \mathrm{m}, \) if the Earths magnetic field at the
location has a magnitude of \( 5 \times 10^{-4} \mathrm{T} \)
and the dip angle is \( 30^{\circ} \)
A . 4.1
B. 2.2 V
c. \( 3.2 v \)
D. 3.8 V
Subject: Chemistry
The below reaction is the gold-plating process reaction.
\[
\boldsymbol{A} \boldsymbol{u}^{3+}(\boldsymbol{a q})+\boldsymbol{3} \boldsymbol{e}^{-} \rightarrow \boldsymbol{A} \boldsymbol{u}(\boldsymbol{s})
\]
If \( 0.600 g \) of \( A u \) is plated onto a metal how many coulombs are used?
\( \mathbf{A} \cdot 299 C \)
B. \( 868 C \)
\( c .2,990 C \)
D. \( 8,680 C \)
Subject: Physics
A particle doing S.H.M. having
amplitude \( 5 \mathrm{cm}, \) mass \( 5 \mathrm{kg} \) and angular
frequency 5 is 1 cm from mean position.
Find potential energy and kinetic
energy.
\( \mathbf{A} \cdot K \cdot E .=150 \times 10^{-4} J . P . E .=6.25 \times 10^{-4} J \)
B . \( K . E .=6.25 \times 10^{-4} J . P . E .=150 \times 10^{-3} J \)
C \( . K . E .=6.25 \times 10^{-4} J . P . E .=6.25 \times 10^{-4} J \)
D . \( K . E .=150 \times 10^{-3} \mathrm{J.P.E.}=150 \times 10^{-4} \mathrm{J} \)
Subject: Chemistry
Q Type your question
village. After the check-up, he was shocked to see that most of the farmers
suffered from cancer due to regular
exposure to pesticides and many wore diabetic. They distributed free
medicines to them. Dr.
Satpal immediately reported the matter to the National Human Rights Commission (NHRC). On the
suggestions of NHRC, the government decided to provide medical care, financial assistance, setting up of super-specialty hospitals for
treatment and
prevention of the deadly disease in the a ffected villages all over India.
(i) Write the values shown by:
(a) Dr. Satpal
(b) NHRC.
(ii) What type of analgesics are chiefly used for the relief of pains of terminal cancer?
(iii) Give an example of artificial sweetener that could have
been recommended to diabetic
\( p_{\text {ts }} \)
Subject: Maths
The equation \( (x-n)^{m}+\left(x-n^{2}\right)^{m}+ \)
\( \left(x-n^{3}\right)^{m}+\ldots+\left(x-n^{m}\right)^{m}=0(m \) is
odd positive integer), has
A. all real roots
B. one real and \( (n-1) \) imaginary roots
C . one real and \( (m-1) \) imaginary roots
D. No real roots
Subject: Maths
The value of \( c \) in Rolle's theorem for the
function \( \boldsymbol{f}(\boldsymbol{x})=\cos \frac{\boldsymbol{x}}{2} \) on \( [\boldsymbol{\pi}, \boldsymbol{3} \boldsymbol{\pi}] \) is
\( A \cdot 0 \)
B. \( 2 \pi \)
c. \( \frac{\pi}{2} \)
D. \( \frac{3 \pi}{2} \)
Subject: Physics
If a \( \boldsymbol{H}_{2} \) nucleus is completely converted into energy, the energy produced will be around
A . \( 1 \mathrm{MeV} \)
в. 1863 Ме \( V \)
\( \mathbf{c} .9 .39 \mathrm{MeV} \)
D. 238 MeV
Subject: Maths
Ravi and Kumar are working on as assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar
takes 5 hours to type 40 pages. How much time will they take, working together on two difference computers to
type an assignment of 110 pages?
A. 7 hours 30 minutes
B. 8 hours
c. 8 hours 15 minutes
D. 8 hours 25 minutes
Subject: Physics
A body moves in a straight line along \( Y \)
axis. Its distance \( y \) (in metre) from the
origin is given by \( y=8 t-3 t^{2} \). The
average speed in the time interval from \( t=0 \) second to \( t=1 \) second is
A. \( -4 m / s \)
в. zero
\( \mathbf{c} \cdot 5 m / s \)
D. \( 6 \mathrm{m} / \mathrm{s} \)
Subject: Physics
An electron beam passes through a
transverse magnetic field of \( 2 \times 10^{-3} \)
tesla and electric field \( \boldsymbol{E} \) of \( \mathbf{3 . 4} \times \)
\( 10^{4} V / m \) acting simultaneously. If the
path of the electrons remain
undeviated, calculate the speed of the electrons
Subject: Maths
Find which of the number of the form
\( \left(n \pi-t a n^{-1} 3\right), \) where \( n \epsilon l, \) are
solution for \( 12 \tan 2 x+\frac{\sqrt{10}}{\cos x}+1=0 \)
\( \mathbf{A} \cdot n=k, k \epsilon z \)
B. \( n=(3 k+1), k \epsilon z \)
c. \( n=(2 k+1), k \epsilon z \)
D. \( n=(4 k+1), k \epsilon z \)
Subject: Chemistry
To prepare a buffer of pH 8.26 amount of
\( \left(N H_{4}\right)_{2} S O_{4} \) to be added to \( 500 \mathrm{mL} \) of
\( 0.01 \mathrm{M} N H_{4} O H \) solution is :
\( \left[\boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}}\left(\boldsymbol{N} \boldsymbol{H}_{4}^{+}\right)=\mathbf{9 . 2 6}\right] \)
A. 0.05 mole
B. 0.025 mole
c. 0.10 mole
D. 0.005 mole
Subject: Maths
The runs secored in a cirect match by
11 players is as follows:
\( \mathbf{9}, \mathbf{1 5}, \mathbf{1 2 1}, \mathbf{5 1}, \mathbf{1 0 1}, \mathbf{8 1}, \mathbf{5 0}, \mathbf{1 6}, \mathbf{8 2}, \mathbf{1 1}, \mathbf{1 1} \)
Find the mean, mode and median
respectively of this data.
A .48,11,51
в. 49,81,11,51
c. 49,90,11,50
D. 49,81,11,50
Subject: Chemistry
A mixture of \( 2 \times 10^{21} \) molecular of \( P \)
and \( 3 \times 10^{21} \) molecular of \( Q \) weight
\( 0.60 g . \) If the molecular mass of \( P \) is 45
the molecular mass of \( Q \) will be \( \left(N_{A}=\right. \)
\( \left.6 \times 10^{23}\right) \)
A . 45
в. 180
c. 90
D. 270
Subject: Physics
What should be the new radius of the
earth in order to make the escape velocity to double of the present value without changing the mass of the earth, if the actual radius of the earth is equal
to R?
A \( \cdot \frac{2}{R} \)
в. \( \frac{4}{R} \)
c. \( \frac{R}{4} \)
D. \( R^{2} / 2 \)
Subject: Physics
A particle is executing SHM along a straight line. Its velocities at distances
\( x_{1} \) and \( x_{2} \) from the mean position are \( V_{1} \)
and \( V_{2} \) respectively. Its time period is:
A \( \cdot 2 \pi \sqrt{\frac{V_{1}^{2}-V_{2}^{2}}{x_{1}^{2}-x_{2}^{2}}} \)
B \( \cdot 2 \pi \sqrt{\frac{x^{2}+x_{2}^{2}}{\sqrt{1}+V_{2}^{2}}} \)
C \( \cdot 2 \pi \sqrt{\frac{x^{2}-x^{2}}{V_{2}^{2}-V_{1}^{2}}} \)
D. \( 2 \pi \sqrt{\frac{v^{2}+V_{2}^{2}}{x^{2}+x_{2}^{2}}} \)
Subject: Physics
The alternating emf applied and the current flowing in an \( A C \) circuit are
represented by \( \boldsymbol{E}=\boldsymbol{E}_{0} \sin \omega \boldsymbol{t} \) and
\( I_{0} \sin \left(\omega t+\frac{\pi}{2}\right) \) respectively. The power
loss in the circuit will be
A . zero
в. \( \frac{E_{0} I_{0}}{2} \)
c. \( \frac{E_{0} I_{0}}{\sqrt{2}} \)
D. \( \frac{E_{0} I_{0}}{4} \)