AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Two moles of \( P C l_{5} \) are heated in a
closed vessel of 2 litre capacity. When
the equilibrium is attained \( 40 \% \) of it has been found to be dissociated. What
is the value of \( K_{c} \) in \( m o l / d m^{3} ? \)
A. 0.532
B. 0.266
c. 0.133
D. 0.174
E . 0.25
Subject: Physics
A vessel contains a mixture consisting
of \( m_{1}-7 g \) of nitrogen \( \left(M_{1}=28\right) \) and \( m_{2}= \)
11 g of carbon dioxide \( \left(M_{2}=44\right) \) at
temperature \( T-300 K \) and pressure \( P_{0}= \) atm. The density of the mixture is
A. \( 1.46 g \) per litre
B. \( 2.567 g \) per litre
c. \( 3.752 g \) per litre
D. \( 4.572 g \) per litre
Subject: Physics
Two metal spheres of radii a and b are connected by a thin wire. Their separation is very large compared to their dimensions. The capacitance of
this system is?
\( \mathbf{A} \cdot 4 \pi \varepsilon_{0}(a b) \)
В . \( 2 \pi \varepsilon_{0}(a+b) \)
C \( .4 \pi \varepsilon_{0}(a+b) \)
D. \( 4 \pi \varepsilon_{0}\left(\frac{a^{2}+b^{2}}{2}\right)^{2} \)
Subject: Maths
The value of the sum \( \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right) \) where \( \boldsymbol{i}=\sqrt{-\mathbf{1}} \)
\( \mathbf{A} \cdot i \)
B . \( i-1 \)
\( c \cdot-i \)
D.
Subject: Chemistry
Which one of the following statements
about \( \boldsymbol{H}_{3} \boldsymbol{B} \boldsymbol{O}_{3} \) is not correct?
A. It is a strong tribasic acid
B. It is prepared by acidifying an aqueous solution of borax
c. It has a layer structure in which planar BO, units are joined by hydrogen bonds.
D. It does not act as proton donor as it acts as a Lewis acid by accepting hydroxyl ions.
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) where \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{2}^{|\boldsymbol{x}|}-\boldsymbol{2}^{-\boldsymbol{x}} \)
then \( f(x) \) is
A. periodic function
B. one one function
c. many one function
D. None of these
Subject: Chemistry
What will be density \( \left(\operatorname{in} g m L^{-1}\right) \) of 3.60 molar sulphuric acid having \( 29 \% \) by mass? \( \left(\text {Molar mass}=\mathbf{9 8 g m L}^{-1}\right) \)
A . 1.88
B. 1.22
\( c \cdot 1.45 \)
D. 1.64
Subject: Physics
Two force, with equal magnitude \( F, \) at on a body and the magnitude of the resultant force is \( \frac{F}{3} . \) The angle between
the two force is
\( ^{\mathrm{A}} \cdot \cos ^{-1}\left(-\frac{17}{18}\right) \)
в. \( \cos ^{-1}\left(-\frac{1}{3}\right) \)
c. \( \cos ^{-1}\left(-\frac{2}{3}\right) \)
D. \( \cos ^{-1}\left(-\frac{8}{9}\right) \)
Subject: Physics
An aeroplane flying at a constant speed
releases a bomb. As the bomb moves
away from the aeroplane, it will
A. always be vertically below the aeroplane only if the aeroplane was flying horizontally
B. always be vertically below the aeroplane only if the aeroplane was flying at an angle of \( 45^{\circ} \) to the horizontal
c. always be vertically below the aeroplane
D. gradually fall behind the aeroplane if the aeroplane was flying horizontally
Subject: Chemistry
On the basis of the following observations made with aqueous
solutions, assign secondary valences to metals in the following compounds:
Moles of \( A g C l \) precipitated per Formula mole of the compounds with
\[
\operatorname{excess} A g N O_{3}
\]
(i)
\[
P d C l_{2} .4 N H_{3}
\]
(i)
\[
\mathrm{NiCl}_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O}
\]
(iii)
\[
P t C l_{4} .2 H C l
\]
(iv)
\[
\mathrm{CoCl}_{3} .4 \mathrm{NH}_{3}
\]
\( (v) \)
\[
P t C l_{2} \cdot 2 N H_{3}
\]
Subject: Physics
A metallic rod of mass \( 20 \mathrm{kg} \) and of uniform thickness rests against a wall while the lower end of rod is in contact
with rough floor. The rod makes an
angle \( 60^{0} \) with floor. If the weight of
rod produces a torque \( 150 \mathrm{Nm} \) about its lower end, the length of rod \( (g= \)
\( \left.10 m s^{-2}\right) \) is:
\( \mathbf{A} \cdot 1.5 m \)
B. \( 2 m \)
\( c .3 m \)
D. \( 4 m \)
Subject: Chemistry
A student made the following
observations in the laboratory.
I. Clean copper metal did not react with
1 molar \( P b\left(N O_{3}\right)_{2} \) solution
II. Clean lead metal dissolved in a 1
molar \( A g N O_{3} \) solution and crystals of \( A g \) metal appeared
III. Clean silver metal did not react with
1 metal \( C u\left(N O_{3}\right)_{2} \) solution
The order of decrease in reducing
character of three metals is:
A. \( P b, C u, A g \)
в. \( P b, \) А \( g, C u \)
c. \( C u, A g, P b \)
D. \( C u, P b, A g \)
Subject: Maths
Assertion
If \( \boldsymbol{r}_{\boldsymbol{x} \boldsymbol{y}} \) i.e. \( \boldsymbol{r}(\boldsymbol{x}, \boldsymbol{y})=\mathbf{0 . 2 5}, \boldsymbol{\sigma}_{\boldsymbol{x}}=\mathbf{0 . 1}, \boldsymbol{\sigma}_{\boldsymbol{y}}= \)
\( 4, \) then \( b_{y x}=10 \)
Reason
\( \boldsymbol{b}_{\boldsymbol{y} \boldsymbol{x}}=\boldsymbol{r} \frac{\boldsymbol{\sigma}_{\boldsymbol{y}}}{\boldsymbol{\sigma}_{\boldsymbol{x}}} \)
A. Both Assertion \&. Reason are individually true \& Reason is correct explanation of Assertion,
B. Both Assertion \& Reason are individually true but Reason is not the correct (proper) explanation of Assertion
c. Assertion is true Reason is false.
D. Assertion is false Reason is true.
Subject: Chemistry
Which of the following are characteristics of ethene but not of
ethane
This question has multiple correct options
A. Carbon is \( s p^{3} \) hybridised
B. Carbon is \( s p^{2} \) hybridised
C. Allowed rotation through \( C-C \) bond and axis perpendicular to it
D. Forbidden rotation through \( C-C \) bond and axis
perpendicular to it
Subject: Physics
A wheel is rotating at \( 900 ~ r . p . m, \) about its axis. When power is cut off it comes
to rest in 1 minute. The angular
retardation in \( r a d / s^{2} \) is:
\( \mathbf{A} \cdot \pi / 2 \)
в. \( \pi / 4 \)
c. \( \pi / 6 \)
D. \( \pi / 8 \)
Subject: Physics
\( 92^{38} U \) atom disintegrates to \( _{84}^{214} \) Po with a half life of \( 4.5 \times 10^{9} y r s \) by emitting six
alpha particles and \( n \) -electrons. Here \( n \)
is:
\( A \cdot 6 \)
B. 4
c. 10
D. 7
Subject: Chemistry
\( \begin{array}{ll}\sqrt{(\mathrm{i}) \mathrm{Hg}(\mathrm{OAc})_{2}} & \mathrm{Dil} \mathrm{H}_{2} \mathrm{SO}_{4} \\ +\mathrm{THF}+\mathrm{H}_{2} \mathrm{O} & (\mathrm{i}) \mathrm{B}_{2} \mathrm{H}_{6} \\ (\mathrm{ii}) \mathrm{NaBH}_{4} / \mathrm{O}_{\mathrm{H}} & +\mathrm{THF} \\ (\mathrm{B}) & (\mathrm{ii}) \mathrm{H}_{2} \mathrm{O}_{2}\end{array} \)
\( A \)
\( (\mathbf{A}) \)
\( (\mathbf{B}) \)
\( (\mathrm{C}) \)
\( B \)
\( c \)
\( D \)
Subject: Maths
Let \( \boldsymbol{a}=\boldsymbol{m} \boldsymbol{i n}\left\{\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3}, \boldsymbol{x} \epsilon \boldsymbol{R}\right\} \) and
\( \boldsymbol{b}=\lim _{\boldsymbol{\theta} \rightarrow \mathbf{0}} \frac{\mathbf{1}-\cos \boldsymbol{\theta}}{\boldsymbol{\theta}^{2}} \)
The value of \( \sum_{r=0}^{n} a^{r} . b^{n-r} \) is?
\( ^{\text {A } \cdot \frac{2^{n+1}-1}{3.2^{n}}} \)
B. \( \frac{2^{n+1}+1}{3.2^{n}} \)
c. \( \frac{4^{n+1}-1}{3.2^{n}} \)
D. none of these
Subject: Chemistry
\( \boldsymbol{K}_{1} \) and \( \boldsymbol{K}_{2} \) are equilibrium constants for reaction (i) and (ii)
\( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g) \dots(i) \)
\( N O(g) \rightleftharpoons \frac{1}{2} N_{2}(g)+\frac{1}{2} O_{2}(g) \dots(\text { ii }) \)
Then:
A \( \cdot K_{1}=\left(1 / K_{2}\right)^{2} \)
B \( \cdot K_{1}=K_{2}^{2} \)
C \( . K_{1}=1 / K_{2} \)
D. \( K_{1}=\left(K_{2}\right)^{\circ} \)
Subject: Chemistry
Two flasks of equal volume are connected by a narrow tube (of
negligible volume) all at \( 27^{0} \mathrm{C} \) and
contain 0.70 mole of \( H_{2} \) at 0.5 atm. One
of the flask is then immersed into a
bath kept at \( 127^{0} \mathrm{C} \), while the other
remains at \( 27^{0} \mathrm{C} \). The final pressure in
each flask is :
A. Final pressure \( =0.5714 \) atm
B. Final pressure = 1.5714 atm
C. Final pressure \( =0.5824 \mathrm{atm} \)
D. None of these
Subject: Physics
A particle is thrown upwards with velocity \( 2 \mathrm{m} / \mathrm{s}, \) the velocity of particle after 2 s is :
A. \( 17.6 m / s \)
B. \( -17.6 \mathrm{m} / \mathrm{s} \)
c. \( 19.6 m / s \)
D. \( -19.6 m / s \)
Subject: Physics
A perfect gas at \( 27^{0} C \) is heated at constant pressure so as to double its
volume. The increase in temperature of the gas will be
\( \mathbf{A} \cdot 300^{0} C \)
B . \( 54^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 327^{0} C \)
D. \( 600^{\circ} \mathrm{C} \)
Subject: Physics
A man travels \( 1^{s t} 50 \mathrm{km} \) at \( 25 \mathrm{km} / \mathrm{hr} \)
next \( 40 \mathrm{km} \) with \( 20 \mathrm{km} / \mathrm{hr} \) and then 90
\( \mathrm{km} \) at \( 15 \mathrm{km} / \mathrm{hr} \) Then find his average speed for the whole journey (in \( \mathrm{km} / \mathrm{hr}) \)
Subject: Maths
Given \( \left|\overrightarrow{\boldsymbol{A}}_{1}\right|=2,\left|\overrightarrow{\boldsymbol{A}}_{2}\right|=\overrightarrow{\mathbf{3}} \) and
\( \left|\vec{A}_{1}+\vec{A}_{2}\right|=3 . \) Find the value of \( \left(\overrightarrow{\boldsymbol{A}}_{1}+\mathbf{2} \overrightarrow{\boldsymbol{A}}_{2}\right) \cdot\left(\boldsymbol{3} \overrightarrow{\boldsymbol{A}}_{1}-\boldsymbol{4} \boldsymbol{\vec { A }}_{2}\right) \)
A . -64
B. 60
c. -60
D. 64
Subject: Physics
A capacitor has capacitance \( 0.5 n F . A \)
choke of \( 5 \mu H \) is connected in series. An
electromagnetic wave of wavelength \( \lambda \) is found to resonate with it. Find \( \lambda \) (in
meter)
\( \mathbf{A} \cdot 10 \pi \)
в. \( 20 \pi \)
c. \( 30 \pi \)
D. \( 5 \pi \)
Subject: Physics
A particle of rest mass \( m_{0} \) moves with a
speed \( \frac{C}{2} \) its total energy and kinetic
energy are:
\( ^{\mathrm{A}} \cdot \frac{\sqrt{3}}{2} m_{0} C^{2} ; \frac{\sqrt{3}}{2} m_{0} C \)
в. \( \frac{2}{\sqrt{3}} m_{0} C^{2} ; \frac{0.25}{\sqrt{3}} m_{0} C^{2} \)
c. \( \frac{2}{\sqrt{3}} m_{0} C^{2} ; \frac{0.27}{\sqrt{3}} m_{0} C^{2} \)
D. None of these
Subject: Physics
Q Type your question-
car has a constant speed corresponding
to a normal acceleration of \( 8 m / s^{2} \) The
tracks abcde and \( 2 C 3 \) are semicircular
track while tracks \( 1-2 \) and \( 3-4 \) are
straight track Point \( a \) and point 1 are
the starting point of race and point 4 and point e are finishing point of race
and point 4 and point \( e \) are finishing
point of the race Choose the correct
statements
A \( \cdot \) Car A wins the race with time difference \( \frac{14+3}{3} s \)
B. car A wins the race with time difference \( \frac{14-3}{3} \)
C car B wins the race with time difference \( \frac{14+3}{3} s \)
D. car B wins with the race with time difference \( \frac{14-3}{3} s \)
Subject: Chemistry
Which of the following are arranged from smallest unit to largest unit?
\( \mathbf{A} \cdot \mathrm{cm}, \mathrm{m}, \mathrm{mm}, \mathrm{km} \)
B. km, m, cm, mm
\( \mathbf{c} \cdot \mathrm{cm}, \mathrm{mm}, \mathrm{m}, \mathrm{km} \)
\( \mathbf{D} \cdot \mathbf{m m}, \mathbf{m}, \mathbf{c m}, \mathbf{k m} \)
E . \( m m, c m, m, k m \)
Subject: Physics
Assertion
The zeroth law of thermodynamics was known before law I of thermodynamics.
Reason
The zeroth law concerning thermal
equilibrium was appeared after three
laws (I, II and III) of termodynamics and
thus was named as zeroth law.
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
Calculate the weight of \( \left(N H_{4}\right)_{2} S O_{4} \) which must be added to \( 500 \mathrm{mL} \) of \( 0.2 \mathrm{M} \)
\( N H_{3} \) to yield a solution of \( \mathrm{pH}=9.35, K_{b} \)
for \( \boldsymbol{N} \boldsymbol{H}_{3}=\mathbf{1 . 7 8} \times \mathbf{1 0}^{-\mathbf{5}} \) (in \( \mathrm{gm} \) )(Write
answer upto 3 decimal places)
Subject: Physics
The mean lives for \( \alpha \) and \( \beta \) decay of a
radioactive substance are 1620 years
and 405 years respectively. The time in which \( \frac{3}{4} t h \) of the material will decay, if it simultaneously emits \( \alpha \) and \( \beta \)
particles is
A. 449 years
B. 199 years
\( c \cdot \alpha \)
D. 99 years
Subject: Chemistry
Arrange the following in order of decreasing boiling point:
(1) n-Butane
(II) n-Butanol
(III) n-Butyl chloride
(IV) Isobutane
A. \( I>V>I I I>I I \)
в. \( I V>I I>I I I>I \)
c. \( I>I I>I I I>I V \)
D. \( I I>I I I>I>I V \)
Subject: Maths
\( E \) and \( F \) are points on the sides \( P Q \) and
\( P R \) respectively of a \( \Delta P Q R \) For each of
the following cases state whether \( \boldsymbol{E F} \| \boldsymbol{Q} \boldsymbol{R} \)
(1) \( P E=3.9 c m, E Q=3 \mathrm{cm}, P F= \)
\( \mathbf{3 . 6} \) cm and \( \boldsymbol{F R}=\mathbf{2 . 4} \)
(2) \( P E=4 c m, Q E=4.5 \mathrm{cm}, P F= \)
\( 8 \mathrm{cm} \) and \( R F=9 \mathrm{cm} \)
(3) \( P Q=1.28 \mathrm{cm} \mathrm{PR}= \)
\( \mathbf{2 . 5 6} \mathbf{c m}, \boldsymbol{P} \boldsymbol{E}=\mathbf{0 . 1 8} \mathbf{c m} \) and \( \boldsymbol{P} \boldsymbol{F}= \)
\( \mathbf{0 . 3 6} c \boldsymbol{m} \)
Subject: Maths
In a triangle \( A B C, \) with usual notations, if \( \left|\begin{array}{ccc}1 & a & b \\ 1 & c & a \\ 1 & b & c\end{array}\right|=0, \) then \( 4 \sin ^{2} A+ \)
\( 24 \sin ^{2} B+36 \sin ^{2} C \) is equal to
A . 48
B. 50
c. 44
D. 34
Subject: Physics
A pendulum bob of mass \( m=80 m g \)
carrying a charge of \( \boldsymbol{q}=\boldsymbol{2} \times \mathbf{1 0}^{-8} \boldsymbol{C} \), is
at rest a horizontal uniform electric
field of \( \boldsymbol{E}=\mathbf{2 0}, \mathbf{0 0 0} \boldsymbol{V} / \boldsymbol{m} . \) The tension \( \boldsymbol{T} \)
in the thread of the pendulum and the angle \( \alpha \) it makes with vertical is (take
\( \boldsymbol{g}=\mathbf{9} . \boldsymbol{8} \boldsymbol{m} / \boldsymbol{s}^{2} \boldsymbol{)} \)
This question has multiple correct options
A \( \cdot \alpha \approx 27^{\circ} \)
в. \( T \approx 880 \mu N \)
c. \( T=8.8 \mu N \)
D. \( \alpha \approx 356 o \)
Subject: Physics
The time period of a particle executing \( \mathrm{SHM} \) is \( \frac{2 \pi}{\omega} \) and its velocity at a distance
\( b \) from mean position is \( \sqrt{3} b \omega \). Its
amplitude is
\( A \cdot b \)
B. 2b
\( c \cdot 3 b \)
D. 46
Subject: Physics
The surface temperature of the sun
which has maximum energy emission at \( 500 \mathrm{nm} \) is \( 6000 \mathrm{K} \). The temperature of a star which has maximum energy emission at \( 400 \mathrm{nm} \) will be
\( \mathbf{A} .8500 K \)
в. \( 4500 K \)
c. \( 7500 K \)
D. \( 6500 K \)
Subject: Chemistry
Na is used in reduction of \( Z n \) salt
because:
A \( \cdot E Z n(o x i)>E N a(o x i) \)
B . \( E Z n(r e d)<E N a(r e d) \)
C. \( E Z n(o x i)<E N a(o x i) \)
D. Both (A) and (B)
Subject: Maths
If \( R \) is a relation from a set \( A \) to a set \( B \)
and \( S \) is a relation from \( B \) to a set \( C \)
then the relation \( S O R \)
A. is from \( A \) to \( C \)
B. is from \( C \) to \( A \)
c. does not exist
D. none of these
Subject: Biology
The given diagram shows respiratory
system of man.Which of the following
correctly shows the functions of the parts labelled \( \mathrm{W}, \mathrm{X}, \) Y and \( \mathrm{Z} \) ?
A. W-Facilitates movement of air by expansion and contraction, \( \mathrm{X} \) - Traps dust and helps to filter inhaled air, Y - Prevents the wind pipe from collapsing, Z - Help in exchange of gases.
B. W-Helps in gaseous exchange, \( x \) - Traps dust and helps to filter inhaled air, Y - Serves as a common passage for air and food, \( z \) - Protect the lungs from damage.
C. W-Prevents the wind pipe from collapsing, \( x \) - Serves as a common passage for air and food, Y - Helps in upward and downward movement of ribcage, Z - Trap dust and help to filter inhaled air
D. W- Facilitates movement of air by expansion and contraction, X - Helps in gaseous exchange, Y - Serves as a common passage for food and air, Z- Protect the lungs from damage.
Subject: Chemistry
Assertion
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \longrightarrow 2 \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g})+185 \boldsymbol{k} \boldsymbol{J} \)
This reaction is exothermic.
Reason
Heat is being evolved.
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: Chemistry
Consider the reaction,
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{C} \boldsymbol{d} \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}+\boldsymbol{C} \boldsymbol{d}^{2} \)
The standard electrode potentials for
\( A g^{+} \rightarrow A g \) and \( C d^{2+} \rightarrow C d \) couples
are 0.80 volt and -0.40 volt
respectively.
(i) What is the standard potential \( E^{\circ} \) for
this reaction?
(ii) For the electrochemical cell, in
which this reaction takes place which electrode is negative electrode?
Subject: Chemistry
Heat is supplied to a certain
homogeneous sample of matter, at a
uniform rate. Its temperature is plotted against time, as shown.Which of the
following conclusions can be drawn?
A . Its specific heat capacity is greater in the solid state than in the liquid state
B. Its specific heat capacity is smaller in the solid state than in the liquid state.
c. Its latent heat of vaporization is greater than its latent heat of fusion
D. Its latent heat of vaporization is smaller than its latent heat of fusion
Subject: Physics
An electric heater and a fan marked
\( 1000 \mathrm{W}, 220 \mathrm{V} \) and \( 100 \mathrm{W}, 220 \mathrm{V} \)
respectively. The resistance of fan is
A. equal to that of heater.
B. greater than that heater.
c. less than that of heater
D. zero
Subject: Chemistry
The reaction, \( 2 B r^{-}(a q)+ \)
\( \boldsymbol{S} \boldsymbol{n}^{2+}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{B} \boldsymbol{r}_{2}(\mathbf{1})+\boldsymbol{S} \boldsymbol{n}(\boldsymbol{s}) \) with the
standard potentials, \( \boldsymbol{E}_{\boldsymbol{S n}}^{\circ}= \)
\( -\mathbf{0 . 1 1 4} V, \boldsymbol{E}_{\mathbf{B r}_{2}}^{\circ}=+\mathbf{1 . 0 9} \boldsymbol{V}, \) is:
A. spontaneous in reverse direction
B. spontaneous in forward direction
c. at equilibrium
D. non-spontaneous in reverse direction
Subject: Chemistry
Reaction \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \boldsymbol{C}+\boldsymbol{D} \) follow's
following rate law rate \( =\boldsymbol{k}=[\boldsymbol{A}]^{\frac{1}{2}}[\boldsymbol{B}]^{\frac{1}{2}} \)
Starting with initial conc. of one mole of \( A \) and \( B \) each, what is the time taken for amount of A of become 0.25 mole. Given
\( \boldsymbol{k}=\mathbf{2 . 3 1} \times \mathbf{1 0}^{-\mathbf{3}} \boldsymbol{s e c}^{-\mathbf{1}} \)
A. 300 sec
B. 600 sec
c. 900 sec
D. none of these
Subject: Maths
Three numbers are chosen at random
withoutreplacement from the set of integers \( 1,2,3, \ldots .10 . \) The probability that the minimum of thechosen
numbers is 3 or the maximum of
thechosen numbers is \( 7, \) is equal to
A . \( 23 / 120 \)
B. \( 13 / 120 \)
c. \( 13 / 60 \)
D. \( 11 / 40 \)
Subject: Physics
Two person \( A \) and \( B \), each carrying a source of frequency \( 300 \mathrm{Hz} \), are standing a few metre apart. A starts moving towards B with velocity \( 30 \mathrm{m} / \mathrm{s} \) If the speed of sound is \( 300 \mathrm{m} / \mathrm{s} \), which of the following is true?
A. number of beats by A is higher than that heard by E
B. the number of beats by B are 30 Hz
c. both (a) and (b) are correct
D. both (a) and (b) are wrong
Subject: Maths
Find the area of the shaded region in
PQRSPQRS is an equilateral triangle
A \( \cdot(6 \pi-9 \sqrt{3}) \mathrm{cm}^{2} \)
в. \( (4 \pi-9 \sqrt{3}) \) ст \( ^{2} \)
c. \( (3 \pi-9 \sqrt{3}) c m^{2} \)
D・ \( (2 \pi-9 \sqrt{3}) \) с \( m^{2} \)
E. None of thes
Subject: Chemistry
Balance the following equation by ion electron method:
\( \boldsymbol{A} \boldsymbol{s}_{2} \boldsymbol{S}_{3}+\boldsymbol{N} \boldsymbol{O}_{3}^{-}+\boldsymbol{H}^{+}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \)
\( \boldsymbol{H}_{3} \boldsymbol{A} \boldsymbol{s} \boldsymbol{O}_{4}+\boldsymbol{N} \boldsymbol{O}+\boldsymbol{S} \)
Subject: Chemistry
Consider the following statements:
1. Global Warming is a phenomenon in which lower atmosphere traps more terrestrial radiation and thus the mean
global temperature of the earth rises beyond \( 14^{\circ} \mathrm{C} \)
2. Global Warming takes place because of rise in the concentration of gases
known as greenhouse gases namely-
water, vapour, \( C O_{2}, C H_{4}, \) oxides of
Nitrogen and man-made gases like
\( \boldsymbol{C F C s} \)
3. Among the greenhouse gases, \( C O_{2} \) is primarily responsible for Global Warming. Which of the statements given above is/are correct?
\( A \cdot 1,2 \) and 3
B. 2 and 3
c. only 2
D. only 3
Subject: Maths
If ' \( \omega^{\prime} \) is a complex cube root of unity,then \( \omega\left(\frac{1}{3}+\frac{2}{9}+\frac{4}{27} \dots \infty\right) \)
\( \omega\left(\frac{1}{2}+\frac{3}{8}+\frac{9}{32} \dots \infty\right)= \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. -
\( c \cdot \omega \)
D.
Subject: Physics
In the arrangement, 11 wires each of
resistance \( 5 \Omega \) are used as sides of
cube. A potential difference of \( 70 \mathrm{V} \) is
maintained between corners \( A \) and \( B \) of
cube. Current flowing in wire \( \boldsymbol{E} \boldsymbol{F} \) is :
\( \mathbf{A} \cdot 4 A \)
3. \( 2 A \)
\( c \cdot 5 A \)
D. \( 10 A \)
Subject: Chemistry
Which of the following is gemdihalide?
A \( \cdot C H_{3}-C H(B r)-C H_{2} B r \)
В. \( C H_{3}-C H B r_{2} \)
C. \( C H_{3}-C H(B r)-C H_{2}-C H_{2} B r \)
D. \( B r C H_{2} C H_{2} B r \)
Subject: Physics
At room temperature, copper has free
electron density of \( 8.4 \times 10^{28} m^{-3} . \) The
electron drift velocity in a copper conductor of cross-sectional area of
\( 10^{-6} m^{2} \) and carrying a current of 5.4
\( \mathbf{A}, \mathbf{w} \) ill be
A \( \cdot 4 m s^{-1} \)
B. \( 0.4 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 4 \mathrm{cms}^{-1} \)
D. \( 0.4 \mathrm{mms}^{-1} \)
Subject: Chemistry
What is the relation between \( T \) and \( V \) of
gas in this process?
A \( \cdot T \cdot V^{2(\gamma-1)}= \) constant
B. \( T \cdot V^{\gamma-1}= \)constant
c. \( T \cdot V^{\gamma-1 v^{2}}= \) constant
D. \( T \cdot V^{\gamma}= \) constant
Subject: Maths
If \( \vec{a} \) is vector of magnitude \( x, m \) is nonzero scalar and \( m \vec{a} \) is a unit vector
then \( x \) in terms of \( \mathrm{m} \) is:
\( \mathbf{A} \cdot m=x \)
в. \( x=|m| \)
c. \( x=\frac{1}{|m|} \)
D. \( x=m / 2 \)
Subject: Physics
Two uniform boards, tied together with
the help of a string, are balanced on a surface as shown in Fig. The coefficient
of static friction between boards and
surface is \( 0.5 . \) The minimum value of \( \theta \)
for which this type of arrangement is
possible is :
\( \mathbf{A} \cdot 30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 37^{\circ} \)
D. It is not possible to have this type of balanced
arrangementt
Subject: Chemistry
Assertion
Dipole moment of \( C-C l \) bond is more
than that of \( \boldsymbol{C}-\boldsymbol{F} \)
Reason
Size of \( \boldsymbol{F} \) is very 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. Both Assertion and Reason are incorrect
Subject: Physics
A beaker of height '3h' has a radius 'h'. A thin rod of height 'h' is placed to the wall
of the beaker. A person can see the top
end of the rod from the opposite edge of the beaker through a pin hole. When the beaker is filled with a liquid up to a height '2h', the person can see the bottom end of the rod. The refractive
index of the liquid is :
\( A \cdot \frac{3}{2} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{5}{2} \)
D. \( \sqrt{\frac{5}{2}} \)
Subject: Maths
If \( \frac{7}{2} x+\frac{5}{2} y=5 ; 4 x+2 y=7, \) then
what is the value of \( \boldsymbol{x}-\boldsymbol{y} ? \)
\( \mathbf{A} \cdot \mathbf{1} \)
B. 4
c. 2
D. -