AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A particle execute \( S H M \) from the
mean position. its amplitude is \( A \) its time period \( T . \) At what displacement its
speed is half of its maximum speed?
A \( \cdot \frac{\sqrt{3} \mathrm{A}}{2} \)
B. \( \frac{\sqrt{2}}{3} \mathrm{A} \)
\( c \cdot \frac{2 A}{\sqrt{3}} \)
\( D \cdot \frac{3 A}{\sqrt{2}} \)
Subject: Chemistry
Which amoung the following has maximum boiling point?
A \( . C H_{3}-C H_{2}-\left(C H_{2}\right)-C H_{2} O H \)
B. \( C H_{3}-C H_{2}-C H_{2}-C_{\}^{C H}-C H_{3} \)
\( \mathbf{c} . C H_{3}-C H_{3}-C H-C H_{2}-C H_{3} \)
\( _{O H} \)
D.
\[
\begin{array}{l}C H_{3}-C_{3} \\ _{O H}^{-} C-C H_{2}-C H_{3}\end{array}
\]
OH
Subject: Physics
What is the highest generated power?
\( ^{\mathbf{A}} \cdot P_{\max }=\frac{v^{2} B^{2} d}{4 \rho S} \)
B. \( \quad P_{\max }=\frac{v^{2} B^{2} S d}{4 \rho} \)
\( ^{\mathrm{C}} P_{\max }=\frac{v^{2} B^{2} S d}{\rho} \)
D \( \quad P_{\max }=\frac{v^{2} B^{2} S d}{2 \rho} \)
Subject: Maths
If \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}+\frac{\boldsymbol{3}}{\cos ^{2} \boldsymbol{x}}=\frac{1}{\cos ^{2} \boldsymbol{x}}, \boldsymbol{x} \boldsymbol{\epsilon}\left(\frac{-\boldsymbol{\pi}}{\boldsymbol{3}}, \frac{\boldsymbol{\pi}}{\boldsymbol{3}}\right) \)
and \( y\left(\frac{\pi}{4}\right)=\frac{4}{3}, \) then \( y\left(-\frac{\pi}{4}\right) \) equals:
A \( \cdot \frac{16}{3} \)
B. \( \frac{1}{3} \)
c. \( \frac{-4}{3} \)
D. \( \frac{1}{3}+e^{3} \)
Subject: Physics
A convex lens of focal length \( 40 \mathrm{cm} \) is in
contact with a concave lens of focal
length \( 25 \mathrm{cm} . \) The power of he
combination, is :
A . \( +6.67 D \)
в. \( -6.5 D \)
c. \( -1.5 D \)
D. \( +6.5 D \)
Subject: Chemistry
Consider the following unbalanced reactions.
\( \boldsymbol{C l}_{2}(\boldsymbol{g})+\boldsymbol{B a}\left(\boldsymbol{O H}_{2}\right) \rightarrow \boldsymbol{X}(\boldsymbol{a q})+\boldsymbol{B a C l}_{2} \)
\( \boldsymbol{X}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{Y}+\boldsymbol{B} \boldsymbol{a} \boldsymbol{S} \boldsymbol{O}_{4} \)
\( \boldsymbol{Y} \frac{\boldsymbol{\Delta}}{>\mathbf{3 6 5} \boldsymbol{K}} \boldsymbol{Z}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{O}_{2} \) Here, \( \boldsymbol{Y} \) and
\( Z \) are respectively:
A. \( H C l O_{4}, C l O_{2} \)
в. \( H C l O_{3}, C l O_{2} \)
c. \( H C l O_{3}, C l_{2} O_{7} \)
D. \( H C l O_{4}, C l_{2} O_{7} \)
Subject: Physics
A vessel with a symmetrical hole in its
bottom is fastened on a cart. The mass
of the vessel and the cart is 1.5 kg. With
what force \( F\left(\text { in } \times 10^{2} N\right) \) should the
cart be pilled so that the maximum amount of water remains in the vessel.
The dimensions of the vessel are as
shown in the figure. Given that \( b= \)
\( \mathbf{5 0} c \boldsymbol{m}, \boldsymbol{c}=\mathbf{1 0} \boldsymbol{c m} \) area of base \( \boldsymbol{A}= \)
\( 40 c m^{2}, L=20 c m, g=10 m / s^{2} \)
Subject: Physics
Two plane mirror are inclined to one
another at an angle of \( 60 . \) A ray is
incident on mirror M1 at an angle i. The
reflected ray from mirror \( M_{1} \) is shown
in figure. The angle of incidence lis
A \( .20^{\circ} \)
B. \( 10^{\circ} \)
\( c \cdot 30^{\circ} \)
D. 40
Subject: Physics
Assertion
When there is no external force on a
system, its kinetic energy must remain
constant
Reason
When there is no external force on a
system its linear momentum must
remain constant.
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: Maths
Find the value of \( k, \) so that the function
\( f(x) \) is continuous at the indicated
point \( \left.\boldsymbol{f}(\boldsymbol{x}) \begin{array}{l}=\frac{8^{x}-2^{x}}{k^{x}-1} \text { for } \boldsymbol{x} \neq \boldsymbol{o} \\ =\boldsymbol{2} \quad \boldsymbol{x}=\mathbf{0}\end{array}\right\} \boldsymbol{a} \boldsymbol{t} \boldsymbol{x}=0 \)
Subject: Physics
A transistor is operated in common-
emitter configuration at \( V_{C}=2 V \) such
that a change in the base current from
\( 100 \mu A \) to \( 200 \mu A \) produces a change in the collector current from \( 5 \mathrm{mA} \) to 10
mA. The current gain is :
A . 50
B. 75
\( c \cdot 100 \)
D. 150
Subject: Physics
A very long, solid insulating cylinder
with radius \( R \) has a cylindrical hole
with radius \( a \) bored along its entire
length. The axis of the hole is a distance
\( b \) from the axis of the cylinder, where
\( a<b<R \) (as shown in figure). The
solid material of the cylinder has a uniform has a uniform volume charge
density \( \rho . \) Find the magnitude and
direction of the electric field inside the
hole, and show that this is uniform over
the entire hole.
Subject: Chemistry
Consider the reaction: \( \boldsymbol{F e}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \)
If the number of electrons lost or gained
during the changes is \( x \). Then, the value
of \( x \) is :
Subject: Maths
The value of \( \lim _{\alpha \rightarrow \beta}\left[\frac{\sin ^{2} \alpha-\sin ^{2} \beta}{\alpha^{2}-\beta^{2}}\right] \) is:
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. \( \frac{\sin \beta}{\beta} \)
D. \( \frac{\sin 2 \beta}{2 \beta} \)
Subject: Physics
A very long straight conducting wire, lying along the z-axis, carries a current of \( 2 A . \) The integral \( \oint \vec{B} . d \vec{l} \) is computed along the straight line \( P Q \), where \( P \) has
the coordinates \( (2 c m, 0,0) \) and \( Q \) has
the coordintes \( (2 c m, 2 c m, 0) . \) The integral has the magnitude (in Sl units)
\( ^{A} \cdot \frac{\pi}{2} \times 10^{-7} \)
В . \( 8 \pi \times 10^{-7} \)
D. \( \pi \times 10^{-7} \)
Subject: Maths
If the outer and inner radii of a ring are
\( 10 \mathrm{cm} \) and \( 8 \mathrm{cm}, \) then its area is nearly
A. 113.443 sq. \( \mathrm{cm} \)
В. 113.343 sq. \( \mathrm{cm} \)
c. 113.243 sq. \( \mathrm{cm} \)
D. 113.143 sq. \( \mathrm{cm} \)
Subject: Biology
Find out the correct combinations
concerning components of photosynthetic electron transport, location in relation to thylakoid and action.
I. OEC - lumen side - water reduction.
II. Plastocyanin - lumen side - electron transfer from cyt f to PSI
III. Ferrodoxin - stroma side - reduction
of \( N A D^{+} \) to \( N A D H \)
IV. Cytochrome complex - integral
protein - transfer electrons from \( \boldsymbol{P} \boldsymbol{Q} \boldsymbol{H}_{2} \)
to PC.
Choose the correct answer.
A. Il and IV
B. I and III
c. Il and III
D. I and IV
Subject: Physics
A sphere of mass \( m \) moving with constant velocity hits another sphere of
same mass at rest. If \( e \) is the coefficient
of restitution. The ratio of their
velocities after collision is :
\( \mathbf{A} \cdot 1+e \)
B. \( \frac{1+e}{2} \)
\( c \cdot \frac{1+2 e}{1-2 e} \)
D. \( \frac{1-e}{1+e} \)
Subject: Physics
Find the electric field inside the shell at
a distance \( r \) from the centre.
\( \mathbf{A} \cdot E=0 \)
в. \( \quad E=\frac{Q}{4 \pi \epsilon_{0} r^{2}} \)
c. \( _{E}=\frac{Q}{4 \pi \epsilon_{0} a^{2}} \)
D. \( \quad E=\frac{Q}{4 \pi \epsilon_{6}(a-r)^{2}} \)
Subject: Chemistry
Zinc, cadmium and mercury are found in nature as sulphides. Values of standard reduction potentials for the half-reactions are :
\( M^{2+}(a q)+2 e^{-} \rightarrow M(s) \)
\( M \quad E^{\circ} \)
\( Z n-0.76 V \)
\( C d \quad-0.40 V \)
\( H g+0.79 V \)
Which sulphides give element not
oxide on roasting?
A. \( Z n S \)
в. \( H g S \)
c. \( C d S \)
D. None of these
Subject: Chemistry
In the following reaction, trace the
position of isotopic \( ^{18} \boldsymbol{O}: \)
\[
\begin{array}{c}
\mathbf{0} \\
\mathbf{c H}_{3}-\mathbf{C}-\mathbf{0}-\mathbf{H}+\mathbf{C H}_{3} \mathbf{C H}_{2}-\mathbf{0}-\mathbf{H}
\end{array} \longrightarrow \mathbf{C H}_{3}-\mathbf{I}-\mathbf{O}-\mathbf{C H}_{2} \mathbf{C H}_{3}+\mathbf{H}_{2} \mathbf{O}
\]
\( \mathbf{A} \cdot H_{2} O^{18} \)
B.
\[
\begin{array}{c}
C H_{3}-C_{\|}-O C H_{2} C H_{3} \\
^{18} O
\end{array}
\]
\( \mathbf{c} \)
\[
\begin{array}{c}
C H_{3}-\underset{\| \atop D}{C}-^{18} O C H_{2} C H_{3} \\
O
\end{array}
\]
D. can be in all three above
Subject: Chemistry
Copper forms two chlorides \( C u C l \) and
\( \boldsymbol{C u} \boldsymbol{C l}_{2} \)
(a) Identify the copper ions in these compounds?
(b) What is the valency of copper in each of these compounds?
(c) By writing the sub-shell electronic configuration of copper, find out a subshells from which the electrons are lost
to form these ions.
(d) Write the period and group to which
copper belongs.
(Hint: Atomic number of copper \( =\mathbf{2 9} \) )
Subject: Maths
The maximum value of \( \boldsymbol{f}(\boldsymbol{x})= \) \( \frac{\log x}{x}(x \neq 0, x \neq 1) \) is
\( A \)
B.
\( c \cdot e^{2} \)
D. \( \frac{1}{e^{2}} \)
Subject: Maths
ff \( \frac{x^{3}}{(x-a)(x-b)(x-c)}=1+ \)
\( \frac{\boldsymbol{A}}{\boldsymbol{x}-\boldsymbol{a}}+\frac{\boldsymbol{B}}{\boldsymbol{x}-\boldsymbol{b}}+\frac{\boldsymbol{C}}{\boldsymbol{x}-\boldsymbol{c}} \) then \( \mathbf{A}= \)
A \( \cdot \frac{a^{3}}{(c-b)(c-a)} \)
в. \( \frac{a^{3}}{(b-c)(b-a)} \)
c. \( \frac{a^{3}}{(a-b)(a-c)} \)
D.
Subject: Maths
fig a polynomial satisfying \( \boldsymbol{g}(\boldsymbol{x}) \boldsymbol{g}(\boldsymbol{y})=\boldsymbol{g}(\boldsymbol{x})+\boldsymbol{g}(\boldsymbol{y})+\boldsymbol{g}(\boldsymbol{x} \boldsymbol{y})-\boldsymbol{2} \)
for all real \( x \) and \( y \) and \( g(2)=5 \) then
\( \lim _{x \rightarrow 3} g(x) \) is
\( A \cdot 9 \)
B. 25
c. 10
D. none of these
Subject: Maths
In \( \Delta A B C, A=50^{\circ}, \angle B=60^{\circ} \)
arranging the sides of the triangle in ascending order, we get :
A. \( A B<B C<C A \)
в. \( C A<A B<B C \)
c. \( B C<C A<A B \)
D. \( B C<A B<C A \)
Subject: Chemistry
The osmotic pressure of the solution obtained by mixing \( 200 \mathrm{cm}^{3} \) of \( 2 \% \) (mass-volume) solution of urea with
\( 200 \mathrm{cm}^{3} \) of \( 3.42 \% \) solution of sucrose at
\( \mathbf{2 0} \) is?
A \( .421 P a \)
в. \( 267 P a \)
\( c .5240 P a \)
D. \( 153 P a \)
Subject: Maths
If planes \( \boldsymbol{x}-\boldsymbol{c} \boldsymbol{y}-\boldsymbol{b} \boldsymbol{z}=\boldsymbol{0}, \boldsymbol{c} \boldsymbol{x}-\boldsymbol{y}+ \)
\( \boldsymbol{a} \boldsymbol{z}=\mathbf{0} \) and \( \boldsymbol{b} \boldsymbol{x}+\boldsymbol{a} \boldsymbol{y}-\boldsymbol{z}=\mathbf{0} \) pass
through a straight line then \( a^{2}+b^{2}+ \)
\( \boldsymbol{c}^{2}= \)
A. \( 1-a b c \)
B . \( a b c-1 \)
c. \( 1-2 a b c \)
D. \( 2 a b c-1 \)
Subject: Physics
A plank of mass \( m_{1} \) with a bar of mass
\( m_{2} \) placed on it lies on a smooth
horizontal plane. A horizontal force growing with time \( t \) as \( \boldsymbol{F}=\boldsymbol{a t}(\boldsymbol{a} \) is
constant) is applied to the bar. Find how
the accelerations of the plank \( w_{1} \) and of
the bar \( w_{2} \) depend on \( t, \) if the
coefficient of friction between the plank and the bar is equal to \( k \)
Subject: Maths
For the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( (x-1)(x-2)(x-3) \) in [0,4] value of
c' in Lagrange's mean value theorem is
A \( \cdot 2 \pm \frac{2}{\sqrt{3}} \)
B. \( _{1-\frac{\sqrt{21}}{6}} \)
c. \( 1+\frac{\sqrt{21}}{6} \)
D. \( 4-2 \sqrt{3} \)
Subject: Maths
\( A B C D \) is a trapezium with parallel
\( \operatorname{sides} A B=a c m \) and \( D C=b c m . E \)
and \( F \) are the mid-points of the non-
parallel sides. The ratio of \( a r(A B F E) \)
and \( a r(E F C D) \) is
\( A \cdot a: b \)
B. \( (3 a+b):(a+3 b \)
\( c \cdot\left(a+3 b_{\cdot}(3 a+b)\right. \)
D. \( (2 a+b):(3 a+b) \)
Subject: Chemistry
Hydrolysis of \( \boldsymbol{P C l}_{3} \) produces:
A. \( H_{3} P O_{3}+H C l \)
в. \( H_{3} P O_{3}+H_{2} O \)
\( \mathbf{c} \cdot H_{3} P O_{4}+H C l \)
D. \( P H_{3}+H C l O \)
Subject: Physics
A heavy nucleus \( X \) of mass number 240
and binding energy per nucleon \( 7.6 M e \) is split into two fragment \( Y \) and \( Z \) of
mass numbers 110 and \( 130 . \) The
binding energy per nucleon in \( Y \) and \( Z \) is \( 8.5 M e V \) per nucleon. Calculate the
energy \( Q \) released per fission in \( M e V \)
Subject: Physics
A person is in between two vertical
mountains. The person fires a gun then hears the first echo from the nearby mountain in a time 3 s and
hears second echo from far mountain in
a time 4s. The person hears the third echo after
A . 5 s
B. 6 s
\( c \cdot 7 s \)
\( D \cdot 8 s \)
Subject: Maths
A kite is flying with the string inclined
at \( 45^{\circ} \) to the horizontal If the string is
straight and \( 50 \mathrm{m} \) long the height at which the kite is flying is
A \( .25 \sqrt{2} m \)
в. \( 50 \sqrt{2} \mathrm{m} \)
c. \( 25 \mathrm{m} \)
D. 50 \( m \)
Subject: Chemistry
The number of bonds between sulphur and oxygen atoms in \( \mathrm{S}_{2} \mathrm{O}_{8}^{2-} \) and the
number of bonds between sulphur and sulphur atoms in rhombic sulphur, respectively are :
A. 8 and 6
B. 8 and 8
\( c \cdot 4 \) and 8
D. 4 and 6
Subject: Chemistry
Assertion
LiCl is predominantly a covalent
compound.
Reason
Electronegativity difference between \( L i \)
and \( C l \) is too small.
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 standard electrode potential of the half cells is given below:
\( Z n^{2+}+2 e^{-} \rightarrow Z n ; E=-0.76 V \)
\( \boldsymbol{F} \boldsymbol{e}^{2+}+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{F} \boldsymbol{e} ; \boldsymbol{E}=-\mathbf{0 . 4 4} \boldsymbol{V} \)
The emf of the cell \( F e^{2+}=Z n^{-} \rightarrow \)
\( Z n^{2+}+F e \)
A . \( 1.54 V \)
в. \( -1.54 V \)
c. \( 0.32 V \)
D. \( +0.19 V \)
Subject: Maths
Q Type your question
Model 18 el \( x \quad 20 \)
Model 5 el
Model \( z \) 19 11
The table above shows the number of TV
sets that were sold during a three-day
sale. The prices of models \( X, Y \) and \( Z \)
\( \operatorname{are} \$ 99, \$ 199, \) and \( \$ 299, \) respectively.
Which of the following matrix
representations gives the total income,
in dollars, received from the sale of the
TV sets for each of the three days?
\( \mathbf{A} \)
\( \begin{array}{ll}199 & 299\end{array} \) \( \left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right][99 \)
B. \( \left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right]\left[\begin{array}{c}99 \\ 199 \\ 299\end{array}\right] \)
\( c \)
\( 199 \quad 2 \)
99
299]\( \left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right] \)
D. \( \left[\begin{array}{c}99 \\ 199 \\ 299\end{array}\right] \quad\left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right] \)
E . \( \bullet \cdot 199\left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right]+299\left[\begin{array}{ccc}20 & 18 & 3 \\ 16 & 5 & 8 \\ 19 & 11 & 10\end{array}\right] \)
Subject: Chemistry
Two oxides of a certain metal were
separately heated in hydrogen till water was produced. It was observed that 1 \( \mathrm{gm} \) of each oxide gave \( 0.125 \mathrm{gm} \) and \( 0.2263 \mathrm{gm} \) of water respectively. This illustrates the law of:
A. definite proportions
B. multiple proportions
c. reciprocal proportions
D. conservation of mass
Subject: Maths
A screw factory has two machines, the
M1, which is old, and does \( 75 \% \) of all the
screws, and the M2, newer but small,
that does \( 25 \% \) of the screws. The \( \mathrm{M} \)
does \( 4 \% \) of defective screws, while the
M2 just does \( 2 \% \) of defective screws. If we choose a screw at random: what is
the probability that it turns out to be
defective?
A. 0.035
в. 0.045
c. 0.015
D. None of these
Subject: Physics
Two identical photocathodes receive
light of frequencies \( f_{1} \) and \( f_{2} \). If the
velocities of the photoelectrons (of
mass \( m \) ) coming out are \( v_{1} \) and \( v_{2} \)
respectively, then
A.
\[
v_{1}-v_{2}=\left[\frac{2 h}{m}\left(f_{1}-f_{2}\right)\right]^{\frac{1}{2}}
\]
B. \( v_{1}^{2}-v_{2}^{2}=\frac{2 h}{m}\left(f_{1}-f_{2}\right) \)
c. \( \quad v_{1}+v_{2}=\left[\frac{2 h}{m}\left(f_{1}-f_{2}\right)\right]^{\frac{1}{2}} \)
D. \( v_{1}^{2}+v_{2}^{2}=\frac{2 h}{m}\left(f_{1}-f_{2}\right) \)
Subject: Physics
Resultant of two vectors \( \vec{A} \) and \( \vec{B} \) is of magnitude P. If \( \vec{B} \) is reversed, then resultant is of magnitude Q. What is the
value of \( P^{2}+Q^{2} ? \)
\( A \cdot 2\left(A^{2}+B^{2}\right) \)
B. \( 2\left(A^{2}-B^{2}\right) \)
c. \( A^{2}-B^{2} \)
D. \( A^{2}+B^{2} \)
Subject: Chemistry
According to Molecular Orbital Theory:
This question has multiple correct options
A \( \cdot C_{2}^{2-} \) is expected to be diamagnetic
B. \( O_{2}^{2+} \) is expected to have a longer bond length than \( O_{2} \)
C. \( N_{2}^{+} \) and \( N_{2}^{-} \) have the same bond order
D. \( H e_{2}^{+} \) has the same energy as two isolated He atoms
Subject: Maths
Jogen's taxable income for \( 2010-11 \) is
Rupees \( 5,00,000 . \) The tax rates are (i) nil for first \( 1,50,000, \) (ii) \( 10 \% \) for \( 1,50,001-3,00,000 \) and (iii) \( 20 \% \) for
the remaining. His Tax liability is:
A. Rs 45000
B. Rs 50000
c. Rs 55000
D. Rs 60000
Subject: Chemistry
From a mixture of
\( \boldsymbol{C H}_{3} \boldsymbol{C l}, \boldsymbol{C H}_{2} \boldsymbol{C l}_{2}, \boldsymbol{C H} \boldsymbol{C l}_{3} \boldsymbol{a n d} \boldsymbol{C C l}_{4} \)
chloroform can be seperated by:
A. distillation
B. fractional distillation
c. distillation under reduced pressure
D. steam distillation
Subject: Chemistry
The conductivity of saturated solution of \( B a S O_{4} \) is \( 3.06 \times 10^{-6} \) mho \( c m^{-1} \)
and its equivalent conductance 1.53 \( \operatorname{mhocm}^{2} e q^{-1} . \) The \( K_{s p} \) for \( B a S O_{4} \) will
be:
A \( \cdot 10^{3} M \)
В. \( 4 \times 10^{6} M \)
c. \( 10^{-3} M \)
D. \( 4 \times 10^{-6} M \)
Subject: Physics
The volume of a cinema theatre is \( 100 \mathrm{m} \)
\( x 60 m \times 20 m \) and total acoustic
absorption in it is 6800 metric
sabine. The reverberation time in
that theatre is
A . 1.5 s
B. 2
\( c \cdot 3 s \)
D. 4 s
Subject: Maths
The triangle formed by the tangent to
the curve \( f(x)=x^{2}+b x-b \) at the
point (1,1) and the co-ordinate axes
lies in the first quadrant.lf its area is 2 sq.unit, then the value of \( b \) is:
A. -3 sq.unit
B. - 2 sq.unit
c. -1 sq.unit
D. 0 sq.unit
Subject: Physics
A battery of e.m.f \( 15 \mathrm{V} \) and internal resistance 3 ohm is connected to two
resistors of resistances 3 ohm and 6
ohm in series. The current through the battery is
A . 1.25 A
B. 3 A
\( c \cdot 1.5 \mathrm{A} \)
\( D .5 \mathrm{A} \)
Subject: Chemistry
The reaction
\( \mathbf{1} / \mathbf{2} \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g})+\boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}(\boldsymbol{s}) \rightarrow \boldsymbol{H}^{\oplus}(\boldsymbol{a} \boldsymbol{q})+ \)
\( \boldsymbol{C l}^{\ominus}(\boldsymbol{a q})+\boldsymbol{A} \boldsymbol{g}(\boldsymbol{s}) \) occurs in the
galvanic cell:
A \( \cdot A g|A g C l(s)| K C l(s o l)\left|A g N O_{3}\right| A g \)
B . \( P t\left|H_{2}(g)\right| H C l(s o l)\left|A g N O_{3}(s o l)\right| A g \)
c. \( P t\left|H_{2}(g)\right| H C l(s o l)|A g C l(s)| A g \)
D. \( P t\left|H_{2}(g)\right| K C l(s o l)|A g C l(s)| A g \)
Subject: Biology
Why are earthworms important in soils?
A. Earthworms are segmented which means that they cause more caverns for other bacteria
and microbes to be present underground
B. Earthworms produce fluids which enrich the soil aiding for nitrogen to be present for plant
growth
C. Earthworms inhibit gaseous exchange killing other bacteria which can be harmful to plants
D. Earthworms ingest soil and excrete soil which allows for some chemicals to be
Subject: Physics
A radioactive substance is being
consumed at a rate constant of \( 1 s^{-1} \)
After what time will the number of
radioactive nuclei become 100. Initially, there were 200 nuclei present
A . \( 1 s \)
B. \( \frac{1}{\ln (2)} s \)
c. \( \ln (2) \) s
D. \( 2 s \)
Subject: Maths
If \( A=\tan 6^{0} \tan 42^{0} \) and \( B= \)
\( \cot 66^{0} \cot 78^{0}, \) then
\( A \cdot A=2 B \)
B. A=1/3 B
\( c \cdot A=B \)
D. 3A=2B
Subject: Physics
A boy walks on a straight road from his home to a market \( 2.5 \mathrm{km} \) with a speed
of \( 5 \mathrm{km} h^{-1} \). Finding the market closed
he instantly turns and walks back with
a speed of \( 7.5 \mathrm{km} h^{-1} . \) What is the
average speed and average velocity of the boy between \( t=0 \) to \( t=50 \) min?
\( A \cdot 0,0 \)
B. \( 6 \mathrm{km} h^{-1} \), o
\( c \cdot 0,6 \mathrm{km} h^{-1} \)
\( \mathbf{D} \cdot 6 \mathrm{km} h^{-1}, 6 \mathrm{km} h^{-1} \)
Subject: Physics
A piece of copper is heated in oven, then dropped into a beaker of water. If a student want to calculate the specific
heat of copper then he must know or measure the value of all of the
quantities below EXCEPT the:
A. mass of the water
B. original temperatures of the copper and the water
c. final (equilibrium) temperature of the copper and the water
D. time taken to achieve equilibrium after the copper is dropped into the water
E. specific heat of the water
Subject: Physics
In the given figure each capacitor is
equal to \( 45 \mu F \) then the equivalent
capacity between \( A \) and \( B \) in the given circuit is:
\( \mathbf{A} \cdot 15 \mu F \)
в. \( 10 \mu F \)
c. \( 40 \mu F \)
D. \( 135 \mu F \)
Subject: Chemistry
Give the IUPAC name of the following:
\[
\begin{array}{c}
\mathrm{CH}_{3} \\
\mathrm{CH}_{3}-\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{2}^{3} \frac{\mathrm{CH}_{3}}{\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}_{3}} \\
\mathrm{8}_{7}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{CH}_{3}
\end{array}
\]
Subject: Physics
Sometimes, the remains of a dead
animal escape destruction and become buried in sediment of ash or survives
under heating, crushing or folding. The sediment or rock becomes elevated as a
part of the land, escapes destructive erosion by water or wind and the object becomes exposed or dug out and comes to the attention of a zoologist. Such a phenomenon leads to the formation of:
A. A new species
B. A new animal
c. A new fossil
D. No, this is not possible
Subject: Maths
The maximum bowling speed \( (k m / h r) \) of 33 players at a cricket coaching centre is given below:
\[
\begin{array}{llll}
\begin{array}{l}
\text { Bowling } \\
\text { Speed } \\
(\boldsymbol{k m} / \boldsymbol{h r})
\end{array} & \mathbf{8 5}- & \mathbf{1 0 0}- & \mathbf{1 1 5}- \\
\mathbf{1 0 0} & & \mathbf{1 1 5} & \mathbf{1 3 0}
\end{array}
\]
Number
of
players
Find the modal bowling speed (in
\( k m / h r) \) of players
Subject: Chemistry
Many lead salts are often used as pigments. If \( \boldsymbol{P b S O}_{4}\left(\boldsymbol{K}_{s p}=\mathbf{1 . 6} \times \mathbf{1 0}^{-8}\right) \)
were used in an unglazed ceramic bowl
how many milligrams of lead (II) could dissolve per liter of water?
\( A \cdot 43 \)
B. 35
\( c \cdot 11 \)
D. 38
Subject: Maths
\( \lim _{\boldsymbol{\pi} \atop \boldsymbol{x} \rightarrow \frac{\pi}{\boldsymbol{4}}} \frac{\sec \boldsymbol{x} \cdot \tan (\boldsymbol{4} \boldsymbol{x}-\boldsymbol{\pi})}{\sin (\boldsymbol{4} \boldsymbol{x}-\boldsymbol{\pi})}= \)
A \( \cdot \sqrt{2} \)
B. \( \frac{1}{\sqrt{2}} \)
\( c \cdot-\sqrt{2} \)
D. \( \frac{-1}{\sqrt{2}} \)
Subject: Maths
Let \( y=x^{3}-8 x+7 \) and \( x=f(t) . \) If
\( \frac{d y}{d t}=2 \) and \( x=3 \) at \( t=0, \) then \( \frac{d x}{d t} \) at
\( t=0 \) is given by
\( \mathbf{A} \cdot \mathbf{1} \)
B. \( \frac{19}{2} \)
\( c \cdot \frac{2}{19} \)
D. None of these