AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Which of the following is true for pupil?
a. It regulates and controls the amount of light entering the eye.
b. It opens completely when the iris is relaxed.
c. Iris controls the expansion and contraction of the pupil.
d. Bright light causes the pupils to contract and dim light causes it to relax.
A. a and
B. b and c
\( c . \) a and \( c \)
D. all of the above
Subject: Maths
A sweet-shop makes gift packet of sweets by combining two special types of sweets \( A \) and \( B \) which weigh \( 7 k g \) Atleast \( 3 k g \) of \( A \) and no more than \( 5 k g \)
of \( B \) should be used. The shop makes a profit of Rs. 15 on \( A \) and \( \operatorname{Rs} .20 \) on \( B \) per
kg. Determine the product mix so as to obtain maximum profit
Subject: Maths
Which of the following sets of side lengths form a triangle?
A. \( 4 \mathrm{m}, 3 \mathrm{m}, 11 \mathrm{m} \)
B. 7 \( \mathrm{mm}, 4 \mathrm{mm}, 4 \mathrm{mm} \)
\( c .3 \mathrm{cm}, 1.23 \mathrm{cm}, 5 \mathrm{cm} \)
D. 3 \( m, 10 \mathrm{m}, 8 \mathrm{m} \)
Subject: Maths
If \( a, b, c \) are in \( A . P ., \alpha, \beta, \gamma \) in H.P., \( \boldsymbol{a} \boldsymbol{\alpha}, \boldsymbol{b} \boldsymbol{\beta}, \boldsymbol{c} \gamma \) in G.P. (with common ratio
not equal to \( 1 . \) ), then prov that \( a: b: c= \) \( \frac{1}{\gamma}: \frac{1}{\beta}: \frac{1}{\alpha} \)
Subject: Maths
In a circle with center \( 0, \) chords \( A B \) and
CD are of length \( 5 \mathrm{cm} \) and \( 6 \mathrm{cm} \)
respectively and subtend angle \( x^{\circ} \) and
\( y^{\circ} \) at center of circle respectively then
A \( \cdot x^{\circ}=y^{\circ} \)
В . \( x^{\circ}<y^{\circ} \)
\( \mathbf{c} \cdot x^{\circ}>y^{\circ} \)
D. None of the above
Subject: Physics
Two points \( A \& B \) on a disc have
velocities \( v_{1} \& v_{2} \) at some moment
Their directions make angles \( 60^{\circ} \) and
\( 30^{\circ} \) respectively with the line of
separation as shown in the figure. The
angular velocity of the disc is:
A \( \cdot \frac{\sqrt{3} v_{1}}{d} \)
B. \( \frac{v_{2}}{\sqrt{3}} \)
c. \( \frac{v_{2}-v_{2}}{d} \)
D. \( \frac{v_{2}}{d} \)
Subject: Physics
A billiard ball is struck by a cue. The line of action of applied impulse is horizontal and passes through the
center of the ball. The initial velocity \( V_{0} \) of the ball, radius \( R \), mass \( m \) and
coefficient of friction \( \mu \) between ball
and table are known. The ball moves distance \( \frac{12 V_{0}^{2}}{X \mu g} \) before it ceases to slip on the table. What is the value of \( X ? \)
A .49
в. зб
\( c \cdot 25 \)
\( D \cdot 64 \)
Subject: Maths
Pis a point inside \( \Delta A B C . \) If \( \angle P B A= \)
\( \mathbf{2 0}^{\circ}, \angle \boldsymbol{B} \boldsymbol{A} \boldsymbol{C}=\mathbf{5 0}^{\circ}, \) and \( \angle \boldsymbol{P C A}=\mathbf{3 5}^{\circ} \)
then the measure of \( \angle B P C \) is
\( 4 \cdot 65^{\circ} \)
B. \( 75^{\circ} \)
\( c \cdot 90 \)
D. 105
Subject: Chemistry
At \( 400^{\circ} \mathrm{C}, \) the vapour pressure of water
is 55.3 mm \( H g \). Calculate the vapour
pressure at the same temperature over
\( 10 \% \) aqueous solution of urea
\( \left[\boldsymbol{C O}\left(\boldsymbol{N} \boldsymbol{H}_{2}\right)_{2}\right] ? \)
Subject: Physics
An ideal coil of \( 10 \mathrm{H} \) is joined in series
with a resistance of \( 5 \Omega \& \) a battery of \( 5 V . \) Two seconds after the connection is
made, the current flowing in amperes in the circuit is:
A \( \cdot e^{-1} \)
В \( \cdot\left(1-e^{-1}\right) \)
\( \mathbf{c} \cdot 1-e \)
D. \( e \)
Subject: Chemistry
Betaine \( C_{5} H_{11} O_{2} N, \) occurs in beet sugar molasses. It is water soluble solid
that melts with decomposition at
\( 300^{\circ} \mathrm{C} . \) It is unaffected by a base but
reacts with hydrochloric acid to form a
crystalline product \( C_{5} H_{12} O_{2} N C l . \) It can be made from glycine with methyl iodide or treatment of chloroacetic acid
with trimethyl amine. Draw structure
for betaine which will account for all
properties given above.
Subject: Maths
If \( \boldsymbol{\theta} \equiv \sin ^{-1} \boldsymbol{x}+\cos ^{-1} \boldsymbol{x}-\boldsymbol{t a n}^{-1} \boldsymbol{x}, \boldsymbol{0} \leq \)
\( x \leq 1, \) then the smallest interval in
which \( \theta \) lies is given by?
A \( \cdot \frac{\pi}{4} \leq \theta \leq \frac{\pi}{2} \)
B. \( -\frac{\pi}{4} \leq \theta \leq 0 \)
c. \( 0 \leq \theta \leq \frac{\pi}{4} \)
D・ \( \frac{\pi}{2} \leq \theta \leq \frac{3 \pi}{4} \)
Subject: Chemistry
A single electron orbit around a stationary nucleus of charge +Ze where \( \mathrm{Z} \) is the atomic number and 'e' is the
magnitude of the electric charge. The hydrogen-like species required \( 47.2 e v \) to excite the electron from the second
Bohr orbit to the third Bohr orbit. The
value of \( Z \) is:
A. 5
B. 3
\( c \cdot 2 \)
\( D \)
Subject: Maths
If \( \boldsymbol{x}+\boldsymbol{i} \boldsymbol{y}=\frac{\boldsymbol{3}}{\boldsymbol{2}+\cos \boldsymbol{\theta}+\boldsymbol{i} \sin \boldsymbol{\theta}} \) then the
value of \( (x-3)(x-1)+y^{2}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c .-1 \)
D.
Subject: Physics
A point charge \( +\boldsymbol{q} \& \) mass \( 100 g \boldsymbol{m} \)
experiences a force of \( 100 N \) at a point
at a distance \( 20 \mathrm{cm} \) from a long infinite uniformly charged wire. If it is released its speed is \( 20 \sqrt{\ln x} \) m/ \( s \) when
it is at a distance \( 40 \mathrm{cm} \) from wire. Find
\( \boldsymbol{x} \)
Subject: Maths
\( A B \) is a segment. The point \( P \) is on the perpendicular bisector of segment AB such that length of AP exceeds length of AB by \( 7 \mathrm{cm} . \) If the perimeter of \( \Delta A B P \) is \( 38 \mathrm{cm} . \) Find the sides of \( \Delta A B P \)
\( \mathbf{A} .5 \mathrm{cm}, 12 \mathrm{cm} \) and \( 19 \mathrm{cm} \)
B. \( 8 \mathrm{cm}, 15 \mathrm{cm} \) and \( 15 \mathrm{cm} \)
c. \( 2 \mathrm{cm}, 17 \mathrm{cm} \) and \( 11 \mathrm{cm} \)
D. \( 6 \mathrm{cm}, 14 \mathrm{cm} \) and \( 18 \mathrm{cm} \)
Subject: Chemistry
In the Ostwald process \( 4 N H_{3}+ \)
\( 4 O_{2} \rightleftharpoons 4 N O+6 H_{2} O \) platinum is used
as a catalyst. If the amount of catalyst is increased when the system has reached equilibrium, which of the
following will occur
A. More \( N O \) and \( H_{2} O \) will form
B. More \( N H_{3} \) and \( O_{2} \) will form
c. Reaction rate will be increased
D. No change will be evident
Subject: Chemistry
Marshall's acid or perdisulphuric acid
\( \left(H_{2} S_{2} O_{8}\right) \) can be prepared by
electrolytic oxidation of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) as :
\( \mathbf{2} \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8}+\boldsymbol{2} \boldsymbol{H}^{\oplus}+\boldsymbol{2} \boldsymbol{e}^{-} \)
\( O_{2} \) and \( H_{2} \) are byproducts. In such an
electrolysis \( 9.72 \mathrm{L} \) of \( H_{2} \) and \( 2.35 \mathrm{L} \) of \( O_{2} \)
were produced at S.T.P. What is the
weight of \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8} \) formed?
Subject: Maths
\( \ln \triangle A B C, \angle C \) is right angle. D \( \& E \) are
mid points of \( A C \& A B \) of \( A B=10 \& A C= \)
6cm. Find length of DE.
A \( .4 \mathrm{cm} \)
B. \( 5 \mathrm{cm} \)
\( c .3 c m \)
D. \( 6 \mathrm{cm} \)
Subject: Chemistry
An organic compound contains carbon, hydrogen and oxygen. Its elemental analysis gave \( C, 38.71 \% \) and \( \mathrm{H}, 9.67 \% \) The empirical formula of the compound would be?
A. \( C H_{4} O \)
в. \( C H_{3} O \)
\( \mathrm{c} \cdot \mathrm{CH}_{2} \mathrm{O} \)
D. \( C H O \)
Subject: Chemistry
Identify the correct order of reactivity
in electrophillic substitution reactions
of the following compounds:
A. \( 1>2>3>4 \)
\( \mathbf{B} \cdot 4>3>2>1 \)
\( \mathbf{c} \cdot 2>1>3>4 \)
D. \( 2>3>1>4 \)
Subject: Physics
The mobility of electrons in a semiconductor is defined as the ratio of
their drift velocity to the applied electric
field. If, for an n-type semiconductor, the
density of electrons is \( 10^{19} m^{-3} \) and
their mobility is \( 1.6 m^{2} /(V . s) \) then the resistivity of the semiconductor (since it is an \( n \) -type semiconductor contribution of holes is ignored) is close to:
\( A \cdot 2 \Omega m \)
в. \( 0.4 \Omega m \)
\( c .4 \Omega m \)
D. \( 0.2 \Omega m \)
Subject: Maths
If \( P(n) \) is the statement \( n^{2}-n+41 \) is
prime, prove that \( \boldsymbol{P}(\mathbf{1}), \boldsymbol{P}(2) \) and \( \boldsymbol{P}(\boldsymbol{3}) \)
are true.
Prove also that \( P(41) \) is not true.
Subject: Maths
\( \mathbf{f} \boldsymbol{x}=\frac{1}{\mathbf{5}+\frac{\mathbf{1}}{\mathbf{5}+\frac{\mathbf{1}}{\mathbf{5}+} \cdots \cdots}}^{\text {then }} \)
A \( \cdot x^{2}+5 x-1=0 \)
B . \( x^{2}-5 x-1=0 \)
C \( \cdot x^{2}-5 x+1=0 \)
D. \( x^{2}+5 x+1=0 \)
Subject: Chemistry
toppr
Q Type your question
\( (\mathbf{A}) \)
COO
This question has multiple correct options
A. The products (B) and (D), respectively, are:
and
B. The products (B) and (D), respectively are:
and
c. Phenol cannot be chlorinated because the ring is
susceptible to oxidation by \( C 1_{2} \)
ation of
(C) from
(B) proceeds by Arsn addition-elimination
Subject: Chemistry
The decomposition of \( C l_{2} O_{7} \) at \( 400 K \)
in the gas phase to \( C l_{2} \) and \( O_{2} \) is a first
order reaction.
(i) After 55 seconds at \( 400 K \), the
pressure of \( \boldsymbol{C l}_{2} \boldsymbol{O}_{7} \) falls from \( \mathbf{0 . 0 6 2} \) to
0.044 at \( m . \) Calculate the rate constant.
(ii) Calculate the pressure of \( C l_{2} O_{7} \) after 100 seconds of decomposition at this temperature.
Subject: Physics
A plane polarized light is incident on a polariser with its pass axis making
angle \( \theta \) with \( x \) -axis, as shown in the
figure. At four different values of \( \boldsymbol{\theta}, \boldsymbol{\theta}= \)
\( 8^{\circ}, 38^{\circ}, 188^{\circ} \) and \( 218^{\circ}, \) the observed
intensities are same. What is the angle
between the direction of polarization
and \( x \) -axis
\( \mathbf{A} \cdot 203^{\circ} \)
В. \( 45^{\circ} \)
\( c \cdot 98^{\circ} \)
\( D \cdot 128^{\circ} \)
Subject: Maths
Let \( f \) be differentiable for all \( \mathbf{x} . \) If \( \boldsymbol{f}(\mathbf{1})= \)
-2 and \( f^{\prime}(x) \geq 2 \) for all \( x \epsilon[1,6] \) then
A \( \cdot f(6)<8 \)
B. \( f(6) \geq 8 \)
\( \mathbf{c} \cdot f(6) \geq 5 \)
D. \( f(6) \leq 5 \)
Subject: Maths
The equations of the line of intersection
of the planes \( x+y+z=2 \) and \( 3 x- \)
\( \boldsymbol{y}+\mathbf{2} z=\mathbf{5} \) in symmetric form are
A \( \frac{x-\frac{7}{4}}{4}=\frac{y-\frac{1}{4}}{-1}=\frac{z}{-3} \)
B. \( \quad \frac{x}{3}=\frac{y+\frac{1}{3}}{1}=\frac{z-\frac{7}{4}}{-4} \)
c. \( \frac{x}{1}=\frac{3 y+1}{1}=\frac{3 z-7}{-4} \)
D. none of these
Subject: Physics
A body of mass \( m \) is accelerated to
velocity \( v \) in time \( t^{\prime} . \) The work done by the force as a function of time \( t \) will be
A \( \cdot \frac{m}{2} \frac{v^{2} t^{2}}{t^{2}} \)
B \( \cdot \frac{1}{2}\left(\frac{m v}{t^{\prime}}\right)^{2} t^{2} \)
c. \( \frac{m v}{2 t^{\prime}} t^{2} \)
D. \( \frac{m v t^{2}}{2 t^{\prime}} \)
Subject: Physics
\( S_{1}: \) In an elastic collision initial and
final K.E. of system will be same.
\( S_{2}: \) In a pure \( L-C \) Circuit average
energy stored in capacitor is zero. \( S_{3}: \ln Y D S E \) coherent sources are formed by division of wave front method
\( S_{4}: \) If a physical Quantity is quantized then it must be integral multiple of it's lowest value.
A . FFTF
в. \( T T F T \)
c. \( F T F T \)
D. \( T F T F \)
Subject: Maths
n figure, circle \( O \) has diameter \( \overline{A B} \) of
the length \( 8 . \) If smaller circle \( P \) is
\( \operatorname{tangent} \) to diameter \( \overline{A B} \) at point \( O \) and
is also tangent to circle \( O \), calculate the
approximate area of the shaded region.
A . 3.14
B. 6.28
\( c .9 .42 \)
D. 12.57
E . 25.13
Subject: Biology
A body cell of an organism has 8 chromosomes. Which describes the
chromosome composition of one of the body cells after interphase?
A. Sixteen chromosomes made up of 16 chromatids
B. Sixteen chromosomes made up of 8 chromatids
c. Eight chromosomes made up of 8 chromatids
D. Eight chromosomes made up of 16 chromatids
E. Four chromosomes made up of 8 chromatids
Subject: Physics
The speed of sound in air is \( v . \) Both the
source and observer are moving towards each other with equal speed \( u \)
The speed of wind is \( w \) from source to
observer. Then, the ratio \( \left(\frac{f}{f_{0}}\right) \) of the
apparent frequency to the actual frequency is given by
A \( \cdot \frac{v+u}{v-u} \)
в. \( \frac{v+w+u}{v+w-u} \)
c. \( \frac{v+w+u}{v-w-u} \)
D. \( \frac{v-w+u}{v-w-u} \)
Subject: Physics
A star's distance \( (d) \) and its parallax angle \( (p) \) are related to each other as:
A \( \cdot d=\frac{1}{p} \)
в. \( d=\frac{1}{p^{2}} \)
c. \( _{p}=\frac{1}{d^{2}} \)
D. none of these
Subject: Maths
If \( \bar{a}, \bar{b}, \bar{c} \) are the position vectors of the points \( A, B, C \) respectively and \( 3 \bar{a}+ \) \( 4 \bar{b}-7 \bar{c}=\overline{0}, \) find the ratio in which
point \( B \) divides the segment \( A C \)
Subject: Chemistry
Identify D:
\( \mathbf{A} \cdot C H_{3} O H \)
B \( \cdot C_{2} H_{6} O \)
\( \mathbf{c} \cdot C_{2} H_{5} O \)
\( \mathrm{D} \cdot C_{4} H_{10} \mathrm{O} \)
Subject: Biology
toppr
Q Type your que
Autotrophic Yes
res
Presence o vascu ss
Flow
roduce
Shirin had been on a holiday to Ooty. In
her school, she has studied about the
interesting world of plants. On the day of her return she collected four groups of
plants I, II, III and IV. She carefully noted some of their details and arranged the information in the form of a table as
given below. Her teacher agreed to tell her descriptions about all plants if she could by looking at the information in the table say which of the groups of plants she collected represented pteridophytes. Take a look at the data and suggest which of the groups could be of pteridophytes.
A. Plantgroup!
B. Plant group I I
c. Plantgroup III
D. Plant group IV
Subject: Physics
The terminal velocity of a liquid drop of radius \( r \) falling through air is \( v \). If two such drops are combined to form a bigger drop, the terminal velocity with which the bigger drop falls through air is (lğnore any buoyant force due to air):
A \( \cdot \sqrt{2} v \)
B . \( 2 v \)
\( c \cdot \sqrt[3]{4 v} \)
D. \( \sqrt[3]{2} v \)
Subject: Physics
A spherical rock weighs \( 1000 N \) on a
certain planet. The planet is a billion times as massive as the rock and has a
radius that is a billion times as great as that of the rock's radius.

How much force does the rock exert on
the planet?
A. A thousand-billion Newtons
B. A thousand-billion-billion Newtons
c. A thousand billionths of a Newton
D. A thousand billion-billionths of a Newton
E. A thousand Newtons
Subject: Maths
A unit vector perpendicular to \( \hat{\mathbf{i}}-\mathbf{2} \hat{\mathbf{j}}+ \) \( \hat{k} \) and \( \hat{3} i-\hat{j}+2 \hat{k} \) is
\( \frac{A \hat{i}+3 \hat{j}+7 \hat{k}}{\sqrt{83}} \)
B. \( \frac{-3 \hat{i}+\hat{j}+5 \hat{k}}{\sqrt{35}} \)
c. \( \frac{5 \hat{i}+3 \hat{j}-7 \hat{k}}{\sqrt{83}} \)
D. \( \frac{3 \hat{i}-5 \hat{j}+7 \hat{k}}{\sqrt{83}} \)
Subject: Maths
Find the value of the following
determinant:
\( \left|\begin{array}{cc}\mathbf{3} \sqrt{\mathbf{6}} & -\mathbf{4} \sqrt{\mathbf{2}} \\ \mathbf{5} \sqrt{\mathbf{3}} & \mathbf{2}\end{array}\right| \)
A. \( 20 \sqrt{6} \)
B. \( 16 \sqrt{6} \)
c. \( 26 \sqrt{6} \)
D. \( 10 \sqrt{6} \)
Subject: Physics
A series LCR circuit containing a resistance of \( 120 \Omega \) has angular frequency \( 4 \times 10^{5} \) rad \( / \mathrm{s} \). At resonance
the voltages across resistance and inductance are \( 60 \mathrm{V} \) and \( 40 \mathrm{V} \)
respectively. The angular frequency at which the current in the circuit lags the voltage by \( \frac{\pi}{4} \) is:
A \( \cdot 2 \times 10^{5} r a d / s \)
B . \( 6 \times 10^{5} \mathrm{rad} / \mathrm{s} \)
c. \( 8 \times 10^{5} r a d / s \)
D. \( 10 \times 10^{5} \mathrm{rad} / \mathrm{s} \)
Subject: Physics
How much work is done in dragging a box of mass. \( 100 \mathrm{kg} \) on a level floor through a distance of \( 10 \mathrm{m} \) ? \( \mu \) between
the box and the floor is 0.4 and the force
is applied parallel to the floor. \( g= \)
\( 9.8 m / s^{2}(9320 J) \)
Subject: Physics
The filament of a bulb takes a current
\( 0.1 \mathrm{A} \) when potential difference across it is \( 0.2 \mathrm{V} \). When the potential difference across it becomes \( 1.0 \mathrm{V} \), the current
becomes 0.4 A. The resistance of
filament in each case will be
A. \( 2.0 \Omega, 2.5 \Omega \)
B. \( 2.5 \Omega, 2 \Omega \)
c. \( 1.0 \Omega, 2.5 \Omega \)
D. \( 2.0 \Omega, 2 \Omega \)
Subject: Physics
Read the assertion and reason carefully to mark the correct option out of the options given below:

Assertion : Radius of circular orbit of a
satellite is made two times, then it
areal velocity will also become two
times.

Reason: Areal velocity is given as \( \frac{\boldsymbol{d} \boldsymbol{A}}{\boldsymbol{d} \boldsymbol{t}}=\frac{\boldsymbol{L}}{\boldsymbol{2 m}}=\frac{\boldsymbol{m} \boldsymbol{v} \boldsymbol{r}}{\boldsymbol{2} \boldsymbol{m}} \)
A. If both assertion and reason are true and the reason is the correct explanation of the assertion
B. If both assertion and reason are true but reason is not the correct explanation of the assertion
c. If assertion is true but reason is false
D. If assertion is false but reason is true
Subject: Physics
In the adjoining graph, possible paths
\( A B C \) and \( A C \) for changing a gas from
the thermodynamic state \( A \) to the state
\( C: \) (i) Along which path greater amount
of work will have to be done? (ii) If the
internal energy of the gas at the state \( \boldsymbol{A} \)
be 5 joule, and 100 then calculate the
internal energy of the gas at the state \( C \)
Subject: Chemistry
Assertion
Statement-1: All inter halogens are
diamagnetic
Reason
Statement-2: AB type of interhalogen undergoes hydroglysis giving a halide
ion derived from the smaller halogen
and a hypohalite ion derived from the
larger halogen.
A. Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-
c. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True
Subject: Maths
Let \( Z \) be the set of integers and \( a R b \) where \( a, b \in Z \) if an only if \( (a-b) \) is
divisible by 5 Consider the following statements:
1. The relation \( \boldsymbol{R} \) partitions \( \boldsymbol{Z} \) into five
equivalent classes.
2. Any two equivalent classes are either equal or disjoint. Which of the above statements is/are
correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
Subject: Chemistry
Draw the Lewis dot formula for \( \boldsymbol{N} \boldsymbol{H}_{3} \)
How many unshared pairs of electrons
are in the outer shell of the central
nitrogen atom?
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 4
E. 6
Subject: Maths
If \( \overline{A B}=2 \vec{i}-3 \vec{j}+\vec{k}, \overline{C B}=\vec{i}+\vec{j}+\vec{k} \)
\( C D=4 \vec{i}-7 \vec{j} \) then \( \overline{A D}= \)
A \( .5 \vec{i}+11 \vec{j}-\vec{k} \)
B . \( 5 \vec{i}-11 \vec{j} \)
c. \( 5 \vec{i}+11 \vec{j} \)
D. \( -5 \vec{i}+11 \vec{j} \)
Subject: Maths
\( \ln \mathbf{A P} a_{3}=\mathbf{2 1}, \boldsymbol{a}, \mathbf{3}=\mathbf{2 1}, \boldsymbol{a}_{\mathbf{1}} \mathbf{0}=\mathbf{6 3} \) find
\( \boldsymbol{a}_{\mathbf{5 0}} \)
Subject: Chemistry
The rate law of reaction between the
substance \( \boldsymbol{A} \) and \( \boldsymbol{B} \) is given by \( \boldsymbol{r} \boldsymbol{a} \boldsymbol{t} \boldsymbol{e}= \)
\( \boldsymbol{K}[\boldsymbol{A}]^{n}[\boldsymbol{B}]^{m} . \) On doubling the
concentration of \( \boldsymbol{A} \) and making the volume of \( B \) half the ratio of new rate to
the earlier rate of reaction will be:
A \( \cdot \frac{1}{2^{n+m}} \)
в. \( m+n \)
\( \mathbf{c} \cdot 2^{n+m} \)
D. \( 2^{n-m-m-m} \)
Subject: Chemistry
Assertion
The laws of chemical combination
ultimately led to the idea of 'atoms' being the "smallest unit of" matter.
Reason

The laws of chemical combination
played a significant role in the development of Dalton's atomic theory of matter.
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
There are two parallel lines,one of which
has the equation \( 3 x+4 y=2 . \) If the
lines cut an intercept of length 5 on the
line \( x+y=1 \) then the equation of the
other line is
A \( \cdot_{3 x+y}=\frac{\sqrt{6}-2}{2} \)
в. \( 3 x+4 y=\frac{\sqrt{6}-2}{2} \)
c. \( 3 x+4 y=7 \)
D. none of these
Subject: Physics
Assertion
An object falling from a great height may reach a steady terminal velocity.
Reason
The viscous force on the body is responsible for this steady terminal velocity.
A. Statement I is True and Statement II is True and is a correct explanation of statement
B. Statement lis True and Statement II is True but not a correct explanation of Statement!
c. statement lis True and Statement II is False
D. Statement lis False and Statement II is True
Subject: Chemistry
A well stirred \( (1 L) \) solution of
\( 0.1 M C u S O_{4} \) is electrolysed at \( 25^{\circ} C \)
using copper electrodes with a current of 25 m \( A \) for 6 hours. If current
efficiency is \( 50 \% \). At the end of the duration what would be the
concentration of copper ions in the solution?
A \( .0 .0856 M \)
В. \( 0.092 \mathrm{M} \)
c. \( 0.0986 M \)
D. \( 0.1 M \)
Subject: Chemistry
In the given pair of compounds, in which
pair second compound has higher boiling point than first compound?
4
and
в. НО\( - \)СН\( _{2}- \)СН\( _{2}- \)ОН апа \( C \)Нз\( _{3}- \)СН\( _{2}- \)ОН
\( c \)
and
\( D \)
and
Subject: Maths
I. If \( \boldsymbol{x}-\boldsymbol{y}=\boldsymbol{x} \boldsymbol{y}=\mathbf{1}-\boldsymbol{x}-\boldsymbol{y}, \) then \( \boldsymbol{x}+\boldsymbol{y} \)
is \( \frac{5}{6} \)
II. The system of equations \( 3 x+2 y=a \)
and \( 5 x+b y=4 \) has infinitely many
solutions for \( x \) and \( y, \) then \( a=4, b=3 \)
III. If \( \frac{x}{a}+\frac{y}{b}=2 \) and \( a x-b y=a^{2}-b^{2} \)
then \( \boldsymbol{x}=\boldsymbol{a}, \boldsymbol{y}=\boldsymbol{b} \)
Which is true?
This question has multiple correct options
A . I only
B. ॥ only
c. ॥ Il only
D. None of these
Subject: Chemistry
Assertion
Acetic acid turns blue litmus turns red.
Reason
Acetic acid is acidic in nature.
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
An object is acted on by a retarding force of \( 10 N \) and at a particular instant
its kinetic energy is \( 6 J . \) The object will
come to rest after it has travelled a
distance of:
\( A \cdot 3 \)
\( \frac{5}{5} \mathrm{m} \)
в. \( \frac{5}{3} \) m
c. \( 4 \mathrm{m} \)
D. 16
Subject: Physics
Masses of two isobars \( _{29} C u^{64} \) and \( 30 Z n^{64} \) are \( 63.9298 u \) and \( 63.9292 u \)
respectively. It can be conclude from these data that
A. Both the isobars are stable
B . \( Z n^{64} \) is radioactive, decaying to \( C u^{64} \) through \( \beta- \) decay
C. \( C u^{64} \) is radioactive, decaying to \( Z n^{64} \) through \( \gamma \) decay
D. \( C u^{64} \) is radioactive, decaying to \( Z n^{64} \) through \( \beta- \) decay
Subject: Physics
A person travels in a car from his village to a town at a speed of \( 50 \mathrm{km} / \mathrm{hr} \) for four hours. There he spends an hour moving about \( 20 \mathrm{kms} \). He then returns to his
village at a speed \( 40 \mathrm{km} / \mathrm{hr} \). His average speed over the whole journey (in \( \mathrm{km} / \mathrm{hr}) \) is :
A . 44
в. 42
c. \( 44 \frac{4}{9} \)
D. \( 46 \frac{2}{3} \)