AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Displacement vs time curve for a
particle SHM is as shown in the figure:
Which of the following statements is
correct?
A. Phase of the oscillator is same at \( t=0 \) s and \( t=2 \) s
B. Phase of the oscillator is same at \( t=2 \) s and \( t=5 \) s
c. Phase of the oscillator is same at \( t=1 \) s and \( t=7 \) s
D. Phase of the oscillator is same at \( t=1 \) s and \( t=5 \) s.
Subject: Physics
A body acted upon by three forces \( \vec{F}_{1}, \vec{F}_{2} \) and \( \vec{F}_{3} \) is under equilibrium. Given \( \left|\vec{F}_{1}\right|=10 N,\left|\vec{F}_{2}\right|=6 N \)
This question has multiple correct options
\( A \cdot F_{3}=8 N \)
В \( \cdot F_{3}=6 N \)
\( \mathbf{c} \cdot \theta=53 \)
Subject: Maths
\( \operatorname{Let} f(x)=\left\{\begin{array}{c}\sin x, \quad \text { for } x \geq 0 \\ 1-\cos x, & \text { for } x<0\end{array} \) and \right.
\( g(x)=e^{x} \). Then \( (g o f)^{\prime}(0) \) is
Subject: Maths
Form the differential equation by eliminating arbitrary constants from the relation \( \boldsymbol{A x}^{2}+\boldsymbol{B y}^{2}=1 \) or \( \frac{\boldsymbol{x}^{2}}{\boldsymbol{a}^{2}}+ \)
\( \frac{\boldsymbol{y}^{2}}{\boldsymbol{b}^{2}}=\mathbf{1} \)
Subject: Maths
If \( \boldsymbol{y}=\log _{10} \boldsymbol{x}+\log _{x} \mathbf{1 0}+\log _{x} \boldsymbol{x}+ \)
\( \log _{10} 10, \) then \( \frac{d y}{d x}= \)
A \( \cdot \frac{1}{x \log _{e} 10}-\frac{\log _{e} 10}{x\left(\log _{e} x\right)^{2}} \)
B. \( \frac{1}{\log _{e} 10}-\frac{\log _{e} 10}{x\left(\log _{e} x\right)^{2}} \)
c. \( \frac{1}{x \log _{e} 10}-\frac{\log _{e} 10}{x^{2}\left(\log _{e} x\right)^{2}} \)
D. None of these
Subject: Chemistry
heated on the flame directly. It crumbled to give white powder of calcium oxide. After cooling, when water is added to it a hissing sound is heard and water started boiling. If it is allowed to stay over night, a clear solution (top layer) is taken and for this experiment
below as lime water.

When carbon dioxide is bubbled into
testtube a clear solution of lime water,
turbidity appears first and later a white precipitate of calcium carbonate is formed. Carbon dioxide is continued to
passed into the same solution and the solution again became clear because of formation of calcium bicarbonate. On
heating the contents of the tube, white precipitate of calcium carbonate
reappears.
Passing of carbon dioxide to lime water gave the following initially
A. Calcium bicarbonate and carbon dioxide
B. Calcium carbonate and water
c. calcium carbonate and carbon dioxide
D. Calcium oxide and water
Subject: Physics
The instantaneous value of emf and
current in an A.C. circuit are; \( \boldsymbol{E}= \)
\( 1.414 \sin \left(100 \pi t-\frac{\pi}{4}\right), I= \)
\( 0.707 \sin (100 \pi t) . \) The admittance of
the circuit will be mho.
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \sqrt{2} \)
\( c \cdot \frac{1}{2} \)
D.
Subject: Maths
The value of \( ^{\prime} x^{\prime} \) satisfying the
determinant is \( \left|\begin{array}{ccc}1 & x & x^{2} \\ 1 & a & a^{2} \\ 1 & b & b^{2}\end{array}\right|=0, a \neq b \)
\( A \)
B. \( b \)
c. \( a \) or \( b \)
D. none of these
Subject: Physics
A cell of constant \( e m f \) first connected
of a resistance \( R_{1} \) and then connected
to a resistance \( \boldsymbol{R}_{2} \). If power delivered in
both cases is same then the internal
resistance of the cell is:
A \( \cdot \sqrt{R_{1} R_{2}} \)
в. \( \sqrt{\frac{R_{1}}{R_{2}}} \)
c. \( \frac{R_{1}-R_{2}}{2} \)
D. \( \frac{R_{1}+R_{2}}{2} \)
Subject: Chemistry
\( \left.\boldsymbol{R}-\stackrel{\boldsymbol{O}}{\boldsymbol{C}}-\boldsymbol{C l} \frac{\boldsymbol{N} \boldsymbol{a} \boldsymbol{N}_{3}}{\boldsymbol{c o n c .} \boldsymbol{H}_{2} \boldsymbol{S O}_{4}}\right\rangle_{\boldsymbol{C H}_{3}-\boldsymbol{C l}(\mathbf{1} \text { eqv } \boldsymbol{t} .)} \)
\( \boldsymbol{P} \quad \) Hence, Product \( (\boldsymbol{P}) \) is:
(Major product)
\( \mathbf{A} \cdot R-N H_{2} \)
\( \mathbf{B} \cdot R-N H-C H_{3} \)
C.
\[
R-C-N H-C H_{3}
\]
D.
\[
R-N H-C-C H_{3}
\]
Subject: Maths
Factors of \( 4 x^{4}-25 x^{2}+36 \) are:
A. \( (x+2)(x-2)(2 x+3)(2 x-3) \)
B. \( (x+1)(x-1)(x+3)(x-3) \)
c. \( (x+3)(x-3)(4 x+3)(4 x-3) \)
D. None of these
Subject: Maths
In the given figure, \( A B C \) is a triangle in
which \( \mathrm{D} \) and \( \mathrm{E} \) are the middle points of
\( \mathrm{BC} \) and \( \mathrm{AC} \) respectively. If \( \boldsymbol{A O}=\mathbf{6} \mathrm{cm} \)
find the length of 0 D.
\( A \cdot 3 \mathrm{cm} \)
B. \( 6 \mathrm{cm} \)
\( c .4 \mathrm{cm} \)
\( D, 2 \mathrm{cm} \)
Subject: Physics
Two point charges \( A=+3 \) nC and \( B= \)
+1 nC are placed \( 5 c m \) apart in air. The
work done to move charge \( B \) towards \( A \)
by \( 1 \mathrm{cm} \) is :
A \( \cdot 2.0 \times 10^{-7} J \)
В. \( 1.35 \times 10^{-7} J \)
c. \( 2.7 \times 10^{-7} J \)
D. \( 12.1 \times 10^{-7} \mathrm{J} \)
Subject: Chemistry
If equal concentrations of products and reactants are mixed, then which of the following reactions will proceed to the right and which will proceed to the left?
\( (A) H_{2} S O_{4}(a q)+N H_{3}(a q) \rightleftharpoons \)
\( N H_{4}^{+}(a q)+H S O_{4}^{-}(a q) \)
(B) \( \boldsymbol{H} \boldsymbol{C O}_{3}^{-}(\boldsymbol{a q})+\boldsymbol{S O}_{4}^{2-}(\boldsymbol{a q}) \rightleftharpoons \)
\( \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C} \boldsymbol{O}_{3}^{2-}(\boldsymbol{a} \boldsymbol{q}) \)
Subject: Maths
If \( \frac{\mathbf{x}^{4}+\mathbf{2 4 x}^{2}+\mathbf{2 8}}{\left(\mathbf{x}^{\mathbf{2}}+\mathbf{1}\right)^{\mathbf{3}}} \)
\( =\frac{\mathbf{A} \mathbf{x}+\mathbf{B}}{\mathbf{x}^{2}+\mathbf{1}}+\frac{\mathbf{C} \mathbf{x}+\mathbf{D}}{\left(\mathbf{x}^{2}+\mathbf{1}\right)^{2}}+\frac{\mathbf{E} \mathbf{x}+\mathbf{F}}{\left(\mathbf{x}^{2}+\mathbf{1}\right)^{3}} \)
then \( \boldsymbol{A}= \)
\( A \)
B. -
c.
\( D \)
Subject: Chemistry
The difference in the densities of low-
density (LDP) and high-density polymers (HDP) is due to the fact that:
A. LDP are highly branched structures while HDP consists of closely packed linear molecules
B. LDP are linear chains while HDP are branched chains of polythene
c. both LDP and HDP are unbranched linear chains with different lengths
D. at high temperature, the density of polymer is reduced
Subject: Physics
Assertion
The value of acceleration due to gravity does not depend upon the mass of the body.
Reason
Acceleration due to gravity is a constant quantity.
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
Find the value of \( k \) if \( f(x) \) is continuous
at \( \boldsymbol{x}=\boldsymbol{\pi} / 2, \) where \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{k \cos x}{\pi-2 x}, x \neq \pi / 2 \\ 3, \quad x=\pi / 2\end{array}\right. \)
Subject: Chemistry
Adsorption of a gas follows the equation
\( \frac{x}{m}=k P^{1 / 2} \)
Then the effect of pressure \( \& \) temperature on physical adsorption of gas on solid is:
A. increase with pressure increase, decrease with temperature increase
B. increase with both temperature \& pressure increase
c. decrease with pressure increase, increase with temperature increase
D. decrease with both temperature \& pressure increase
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{5} & \mathbf{5} \boldsymbol{\alpha} & \boldsymbol{\alpha} \\ \mathbf{0} & \boldsymbol{\alpha} & \mathbf{5} \boldsymbol{\alpha} \\ \mathbf{0} & \mathbf{0} & \mathbf{5}\end{array}\right] \) If \( \left|\boldsymbol{A}^{2}\right|=\mathbf{2 5} \)
then \( |\boldsymbol{\alpha}| \) equals
\( \mathbf{A} \cdot 5^{2} \)
B.
\( c \cdot \frac{1}{5} \)
D. 5
Subject: Chemistry
Assertion
In the Daniel cell, if concentration of
\( C u^{2+} \) and \( Z n^{2+} \) ions are doubled, the
emf of the cell will not change.
Reason
f the concentration of ions in contact
with the metals is doubled, the
electrode potential is doubled.
A. assertion is true, reason is true; reason is correct explanation for assertion.
B. assertion is true, reason is true; reason is NOT a correct explanation for assertion
c. assertion is true, reason is false
D. assertion is false, reason is true
Subject: Maths
\( \boldsymbol{p}(\boldsymbol{x})=\left(\boldsymbol{x}^{2}-\mathbf{1 0} \boldsymbol{x}-\mathbf{2 4}\right), \) when divided
by \( x+2 \) and \( x \neq-2 \) gives the quotient
Q. Find \( Q \)
A . \( x-22 \)
B. \( x-12 \)
c. \( x+12 \)
D. \( x+22 \)
Subject: Maths
There are 720 permutations of the digits \( 1,2,3,4,5,6 . \) suppose these permutations are arranged from smallest to largest numerical of values, beginning from 123456 and ending with \( 654321 . \) (a)what number falls on
\( 124^{t h} \) position?
(b) what is the position
of 321546?
Subject: Maths
i) Solve for \( x: \tan ^{-1}(x-1)+ \)
\( \tan ^{-1} x+\tan ^{-1}(x+1)=\tan ^{-1} 3 x \)
ii) Prove that \( \tan ^{-1}\left(\frac{6 x-8 x^{3}}{1-12 x^{2}}\right)- \)
\( \tan ^{-1}\left(\frac{4 x}{1-4 x^{2}}\right)=\tan ^{-1} 2 x ;|2 x|< \)
\( \frac{1}{\sqrt{3}} \)
Subject: Maths
Let \( f(x) \) be a real valued function not identically zero, such that
\( \boldsymbol{f}\left(\boldsymbol{x}+\boldsymbol{y}^{n}\right)=\boldsymbol{f}(\boldsymbol{x})+(\boldsymbol{f}(\boldsymbol{y}))^{n} \quad \forall \boldsymbol{x}, \boldsymbol{y} \in \)
\( \boldsymbol{R} \)
where \( n \in N(n \neq 1) \) and \( f^{\prime}(0) \geq 0 . \) We
may get an explicit form of the function
\( \boldsymbol{f}(\boldsymbol{x}) \)
The value of \( f(5) \) is :
A . 6
B. 3
\( c \cdot 5 n \)
D. 5
Subject: Physics
The length of a metal wire is \( l_{1} \) when the tension in it is \( F_{1} \) and \( l_{2} \) when the
tension is \( F_{2} \). Then original length of the wire is:
A. \( \frac{l_{1} F_{1}+l_{2} F_{2}}{F_{1}+F_{2}} \)
в. \( \frac{l_{2}-l_{1}}{F_{2}-F_{1}} \)
c. \( \frac{l_{1} F_{2}-l_{2} F_{1}}{F_{1}-F_{2}} \)
D. \( \frac{l_{1} F_{1}-l_{2} F_{2}}{F_{2}-F_{1}} \)
Subject: Physics
A wave is represented by an equation; \( Y=A \cos k x \sin \omega t, \) then
A. It is a progressive wave with amplitude \( A \)
B. It is a progressive wave with amplitude \( A \) cos \( k x \)
c. It is a stationary wave with amplitude \( A \)
D. It is a stationary wave with amplitude \( A \cos k x \)
Subject: Physics
The force applied on a body on a rough
surface of coefficient of friction \( \mu \)
produces an acceleration \( a \). If
coefficient of friction between the body
and the surface is reduced to \( \mu / 3, \) the
acceleration increases by 2 units. The
value of \( \mu \) is:
\( \mathbf{A} \cdot \frac{2}{3} g \)
B. \( \frac{3}{2} g \)
\( c \cdot \frac{3}{g} \)
D. \( \frac{1}{g} \)
Subject: Chemistry
A certain hydrate has a formula
\( M g S O_{4} \times H_{2} O . A \) quantity of \( 54.2 \mathrm{gm} \)
of the compound is heated on an oven to
drive off the water. If the steam
generated exerts a pressure of 24.80
\( \operatorname{atmin} a 20 L \) container at \( 120^{\circ} \mathrm{C} \)
Calculate \( x \)
\( A \cdot 2 \)
B. 5
\( c \cdot 6 \)
D. 7
Subject: Physics
mass \( m \) carrying charge \( q . \) The bead
can freely move on the smooth fixed ring placed on a smooth horizontal plan.
In the same plane a charge \( +Q \) has also
been fixed as shown. The potential at
the point \( \boldsymbol{P} \) due to \( +\boldsymbol{Q} \) is \( \boldsymbol{V} \). The velocity
with which the bead should projected
from the point \( P \) so that it can complete
a circle should be greater than
A \( \cdot \sqrt{\frac{6 q V}{m}} \)
B. \( \sqrt{\frac{q V}{m}} \)
c. \( \sqrt{\frac{3 q V}{m}} \)
D. nont
Subject: Biology
toppr
Q Type your question
3. Flying foxes, member of Chiroptera
4. Proboscidea, the largest land animal
5. Primates with estrous or menstrual
cycle
6. Legormorphs with two pairs of
incisors with open root canals
7. Prototherians, sharing features with primitive vertebrates.
A. \( 1-A, 2-F, 3-C, 4-G, 5-D, 6-E, 7-B \)
B. 1- B, 2- G, 3- D, 4- A, 5- F, 6- E, 7- C
c. \( 1- \) В, \( 2-F, 3-C, 4-G, 5-D, 6-B, 7-E \)
D. \( 1- \) B, \( 2-F, 3-G, 4-A, 5-D, 6-E, 7-C \)
Subject: Chemistry
Specify the hybridization of central atom in the following species respectively.
\( N_{3}^{-}, N O C l, N_{2} O \)
\( \mathbf{A} \cdot s p, s p^{2}, s p \)
B. \( s p, s p, s p^{3} \)
\( \mathbf{c} \cdot s p^{2}, s p, s p \)
D \( \cdot s p^{2}, s p^{2}, s p \)
Subject: Chemistry
IUPAC name of given compound is :
\[
\mathrm{CH}_{3}-\mathrm{CH}_{2}-\underset{\mathrm{CHO}}{\mathrm{C}} \mathrm{H}-\stackrel{\mathrm{CH}_{3}}{\mathrm{C}} \mathrm{H}-\mathrm{CH}_{2}-\mathrm{CH}_{3}
\]
A. 4-Methylhexanal-3
B. 3-Ethyl-2-methylpentanal
c. 2-Ethyl-3-methylpentanal
D. 4-Methylheptanal
Subject: Physics
Vector \( \vec{a} \) has components \( \boldsymbol{a}_{\boldsymbol{x}}=\mathbf{3}, \boldsymbol{a}_{\boldsymbol{y}}= \)
4. Find the components of a vector \( \overrightarrow{\boldsymbol{c}} \)
which is perpendicular to \( \vec{a} \) and has a
magnitude of 5 units.
A \( \cdot c_{x}=\pm 4, c_{y}=\mp 3 \)
B . \( c_{x}=\pm 3, c_{y}=\mp 4 \)
C \( \cdot c_{x}=\pm 2, c_{y}=\mp 3 \)
D. \( c_{x}=\pm 3, c_{y}=\mp 2 \)
Subject: Maths
The domain of \( \boldsymbol{f}(\boldsymbol{x})=\frac{\sin ^{-1} \boldsymbol{x}}{\boldsymbol{x}} \) is
\( \mathbf{A} \cdot[-1,1] \)
B. \{0\}
\( c \cdot[-1,0) \)
D. None of these
Subject: Physics
The two rails of a railways track, insulated from each other and the
ground, are connected to a milli voltmeter. What is the reading of the milli voltmeter when a train travels at a
speed of \( 20 \mathrm{ms}^{-1} \) along the track, given that the vertical component of the
earth's magnetic field is \( 0.2 \times 10^{-4} \) \( \mathrm{Wbm}^{-2} \) and the rails are separated by 1
\( \mathrm{m} ? \)
A. 4 mv
B. \( 0.4 \mathrm{mv} \)
c. \( 80 \mathrm{mv} \)
D. 10 mv
Subject: Physics
A charge \( +10^{-9} C \) is located at the
origin in free space and another charge
\( Q \) at \( (2,0,0) . \) If the \( X \) -component of the electric field at (3,1,1) is zero. The
value of \( Q \) is
A \( \cdot 2.4 \times 10^{-10} \mathrm{C} \)
В. \( -6.2 \times 10^{-20} C \)
c. \( -4.3 \times 10^{-10} C \)
D. \( -1.2 \times 10^{-20} C \)
Subject: Physics
Two point charges \( +q \) and \( +q \) are fixed at \( (a, 0,0) \) and \( (-a, 0,0) . \) A third point charge \( -q \) is at origin. State whether its equilibrium is stable, unstable or neutral if it is slightly displaced along
\( \boldsymbol{x}- \) axis.
A . Stable
B. Unstable
c. Neutral
D. Data insufficient
Subject: Chemistry
For 1 molal solution of each compound minimum freezing point will be
assuming complete ionisation in each
case:
\( \mathbf{A} \cdot\left[F e\left(\left(H_{2} O\right)_{6}\right] C l_{3}\right. \)
B. \( \mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{5} \mathrm{Cl} \) l \( \mathrm{Cl}_{2} \). \( \mathrm{H}_{2} \mathrm{O} \)
c. \( \left.F e\left(H_{2} O\right)_{4} C l_{2}\right] C l .2 H_{2} O \)
D. \( \operatorname{Fe}\left(H_{2} O\right)_{3} C l_{3} \) ]. \( H_{2} \) O
Subject: Chemistry
Assertion: Emitted radiations lie in
visible region when electrons jump from higher level to \( n=2 \) in hydrogen. Reason: Balmer series radiations
belong to visible range in H-atoms.
A. Both Reason and Assertion are true and reason is the correct explanation of assertion
B. Both Reason and Assertion are true but reason is not correct explanation of assertion
c. Assertion is true but reason is false
D. Assertion and reason both are false
E. Assertion is false but reason is true
Subject: Physics
Two identical balls \( A \) and \( B \) having velocities of \( 0.5 \mathrm{m} / \mathrm{s} \) and \( -0.3 \mathrm{m} / \mathrm{s} \)
respectively collide elastically in one
dimension. The velocities of B and \( A \)
after the collision respectively will be
A. \( 0.3 \mathrm{m} / \mathrm{s} \) and \( 0.5 \mathrm{m} / \mathrm{s} \)
B. -0.5 m/s and 0.3 m/s
c. \( 0.5 \mathrm{m} / \mathrm{s} \) and \( -0.3 \mathrm{m} / \mathrm{s} \)
D. \( -0.3 \mathrm{m} / \mathrm{s} \) and \( 0.5 \mathrm{m} / \mathrm{s} \)
Subject: Biology
Assertion
Inspiration occurs due to muscular
relaxation.
Reason
During inspiration, the diaphragm and
external intercostal muscle contract
simultaneously.
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: Physics
A battery of \( 100 \mathrm{V} \) is connected to series combination of two identical parallel-
plate condensers. If dielectric of constant 4 is slipped between the plates of second condenser, then the potential difference on the condensers will respectively become:
\( A \cdot 80 \vee, 20 v \)
B. \( 75 \vee, 25 \mathrm{V} \)
c. \( 50 v \), \( 80 v \)
D. 20 V, 80 V
Subject: Physics
A body executes simple harmonic motion. At a displacement \( x \), its
potential energy is \( U_{1} . \) At a displacement \( y, \) its potential energy is
\( U_{2} . \) What is the potential energy of the body at a displacement \( (x+y) ? \)
A. \( U_{1}+U_{2} \)
В \( \cdot(\sqrt{U_{1}}+\sqrt{U_{2}})^{2} \)
c. \( \sqrt{U_{1}^{2}+U_{2}^{2}} \)
D. \( \sqrt{U_{1} U_{2}} \)
Subject: Maths
Die \( A \) has 4 red and 2 white faces
whereas die \( B \) has 2 red and 4 white
faces. A coin is flipped once. If it shows a head, the game continues by throwing die \( A, \) if it shows tail, then die \( B \) is to be
used. If the probability that die \( A \) is used is \( \frac{64}{66} \) where it is given that red turns up every time in first \( n \) throws,
then \( n \) is
Subject: Chemistry
Which of the following correctly
represent solubility of \( N_{2} \) in water (in
terms of mmole/litre) if \( N_{2} \) is bubbled
through water at \( 293 K \) at a pressure of
0.768 bar and Henry's constant is
\( \mathbf{7 6 . 8} K \) at \( \mathbf{2 9 3} \mathbf{K} ? \)
A \( \cdot 10^{-5} \)
5
В. \( 5.56 \times 10^{-4} \)
\( c \cdot 10^{-2} \)
D. \( 4.3 \times 10^{-4} \)
Subject: Chemistry
The following acids have been arranged in the order of decreasing acid strength. Identify the correct order: CIOH (I), BrOH
(II), IOH (III).
A \( I>I I>I I I \)
\( I \)
В. \( I I>I>I I I \)
c. \( I I I>I I>I \)
I I \( I>I I I>I I \)
\( I \)
Subject: Chemistry
The velocity of an \( e^{-} \) in excited state of
H-atom is \( 1.093 \times 10^{6} \) m/s. What is the
circumference of this orbit?
A \( \cdot 3.32 \times 10^{-10} \mathrm{m} \)
В. \( 6.64 \times 10^{-10} \mathrm{m} \)
c. \( 13.30 \times 10^{-10} \mathrm{m} \)
D. \( 13.28 \times 10^{-8} \mathrm{m} \)
Subject: Physics
Calculate by how much will the sound
level decrease if the observer moves
from a distance of \( 2 \mathrm{m} \) to a distance of
\( 20 \mathrm{m} \) from the source.
\( A \cdot 1 d B \)
B. 2 dB
\( c \cdot 10 d B \)
D. 18 dB
E . \( 20 d B \)
Subject: Chemistry
Which of the following does not represent redox reaction?
A \( \cdot C r_{2} O_{7}^{2-}+2 O H^{-} \rightarrow 2 C r O_{4}^{2-}+H_{2} O \)
B \( \cdot S O_{5}^{2-}+I^{-} \rightarrow I_{2}+S O_{4}^{2} \)
c. \( C a(O H)_{2}+C l_{2} \rightarrow C a(O C l)_{2}+C a C l_{2} \)
D. \( P C l_{5} \rightarrow P C l_{3}+C l_{2} \)
Subject: Maths
The non-zero vectors \( \vec{a}, \vec{b} \) and \( \vec{c} \) are related by \( \vec{a}=8 \vec{b} \) and \( \vec{c}=-7 \vec{b}, \) then the
angle between \( \vec{a} \) and \( \vec{c} \) is
A \( \cdot \frac{\pi}{2} \)
в. \( \pi \)
\( c \cdot 0 \)
D.
Subject: Maths
Assertion
Statement \( 1: \cos 1<\sin 1(\text { in } \text {radians}) \)
Reason
Statement 2: cosine x decreases but
sine \( x \) increases for \( x \in\left(0, \frac{\pi}{2}\right) \)
A. Both the statements are TRUE and STATEMENT 2 is the
correct explanation of STATEMENT 1
B. Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT 1.
C. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE.
D. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE.
Subject: Physics
An \( \alpha- \) particle having energy \( 10 M e V \) collides with a nucleus of atomic
number 50.Then distance of closet
approach will be
A \( \cdot 14.4 \times 10^{-16} m \)
в. \( 1.7 \times 10^{-7} \mathrm{m} \)
c. \( 1.5 \times 10^{-12} m \)
D. \( 14.4 \times 10^{-15} \mathrm{m} \)
Subject: Chemistry
Formula of feldspar is:
A. \( K_{2} O . A l_{2} O_{3} .6 S i O_{2} \)
B. \( K_{2} O_{3} . A l_{2} O_{3} .6 s i_{2} O_{2} .2 H_{2} O \)
c. \( A l_{2} O_{3} .2 S i O_{2} .2 H_{2} O \)
D. \( 3 M g O .4 S i O_{2} . H_{2} O \)
Subject: Chemistry
A negatively charged solution will require minimum amount of which
electrolyte for its coagulation?
A. \( N a N O_{3} \)
B. \( M g\left(N O_{3}\right)_{2} \)
\( \mathbf{c} \cdot A l\left(N O_{3}\right)_{3} \)
D. \( \operatorname{Th}\left(N O_{3}\right)_{4} \)
Subject: Maths
A situation may be described by using different sets of co-ordinate axes
having different orientations. Which of the following do not depend on the orientation of the axes -
(a) The value of a scalar
(b) Component of a vector
(c) A vector
(d) The magnitude of a vector
A \( \cdot \) a, \( d \)
B. a, b, d
\( c \cdot a, b, c \)
D. a, c, d
Subject: Physics
The separation L between the objective
\( f_{o}=0.5 \mathrm{cm} \) ) and the eye piece \( \left(f_{e}=\right. \) \( 5 c m \) )of a compound microscope is 7.0
cm. Where should a small object be placed so that the eye is least strained?
A \( \cdot \frac{1}{2} c m \)
в. \( \frac{3}{2} c m \)
c. \( \frac{2}{3} c m \)
D. \( \frac{1}{3} c m \)
Subject: Physics
One sound wave strikes a person's ear every \( 1 / 100 \) of a second. The speed of sound where the person is located is
\( 345 m / s \)
What is the frequency of the sound?
A. \( 3.45 \mathrm{Hz} \)
в. \( 34,500 \mathrm{Hz} \)
c. \( 0.01 \mathrm{Hz} \)
D. \( 100 \mathrm{Hz} \)
E . \( 2.9 \mathrm{Hz} \)
Subject: Maths
f \( \boldsymbol{x}+\boldsymbol{y}=\left[\begin{array}{ll}\mathbf{5} & \mathbf{2} \\ \mathbf{0} & \mathbf{9}\end{array}\right] \) and \( \boldsymbol{x}-\boldsymbol{y}= \)
\( \left[\begin{array}{cc}\mathbf{3} & \mathbf{6} \\ \mathbf{0} & -\mathbf{1}\end{array}\right] \) Find the value of \( \boldsymbol{x} \) and \( \boldsymbol{y} \)
Subject: Chemistry
The compound \( C_{8} H_{18} \) forms single
product on monohalogenation. The
IUPAC name of \( \boldsymbol{C}_{\mathbf{8}} \boldsymbol{H}_{\mathbf{1 8}} \) is :
A. 2,2,3,3 - tetramethylbutane
B. 2,3- dimethyl hexane
c. n-octane
D. 2,3,4 - trimethyl pentane
Subject: Maths
If the points \( (k, 2 k),(3 k, 3 k) \) and (3,1) are collinear then the value of \( k \) is
A \( \cdot \frac{7}{9} \)
B. \( \frac{2}{3} \)
c. \( \frac{-2}{3} \)
D. \( \frac{-1}{3} \)
Subject: Physics
Assertion
An ideal fluid is flowing through a pipe. Speed of fluid particles is more at places where pressure is low.
Reason
Bernoulli's theorem can be derived from
work-energy theorem.
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
Assertion
\( f(x) \) is increasing with concavity
upwards, then concavity of \( \boldsymbol{f}^{-1}(\boldsymbol{x}) \) is
also upwards.
Reason
If \( \boldsymbol{f}(\boldsymbol{x}) \) is decreasing function with
concavity upwards, then concavity of
\( f^{-1}(x) \) is also upwards
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 and Reason are correct