AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
An organic compound (E) \( \left(C_{5} H_{8}\right) \) on hydrogenation gives a compound (F)
\( \left(C_{5} H 12\right) . \) Compound (E) on ozonolysis gives formaldehyde and 2-ketopropanal. Deduce the structure of the compound
(E).
A. cyclopentene
B. 1,4 pentadiene
c. 1,3 pentadiene
D. 2 methyl 1,3 butadiene
Subject: Physics
There are two hollow spheres made of different materials, one with double the
radius and one fourth wall thickness of
the other are filled with ice. If the time
taken for melting the ice completely in larger sphere is 25 minutes and that for
smaller sphere is 16 minutes, the ratio of the thermal conductivity of the larger sphere to the smaller sphere is :
A . 4: 5
B. 5: 4
\( c \cdot 25: 8 \)
D. 8: 25
Subject: Physics
An asteroid is moving directly towards the centre of the earth. When at a
distance of \( 10 R(R \) is the radius of the
earth) from the earth centre, it has a
speed of \( 12 k m / s . \) Neglecting the effect of the earths atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity from the earth is \( 11.2 k m / s \) )? Give your answer to the nearest integer in kilometer/s
Subject: Physics
The length of seconds hand of watch is
\( 1.5 \mathrm{cm} \) and its mass is \( 7 \times 10^{-3} \mathrm{g} \). Its
angular momentum is,
A \( \cdot 1.1 \times 10^{-11} \mathrm{kgm}^{2} \mathrm{s}^{-1} \)
B . \( 5.5 \times 10^{-11} \mathrm{kgm}^{2} \mathrm{s}^{-1} \)
C. \( 1.1 \times 10^{-12} \mathrm{kgm}^{2} \mathrm{s}^{-1} \)
D. \( 5.5 \times 10^{-13} k g m^{2} s^{-1} \)
Subject: Maths
If \( \boldsymbol{x}=\frac{\mathbf{4} \boldsymbol{a} \boldsymbol{b}}{\boldsymbol{a}+\boldsymbol{b}}, \) where \( \boldsymbol{a} \neq \boldsymbol{b} \neq \mathbf{0}, \) then the
value of \( \frac{x+2 a}{x-2 a}+\frac{x+2 b}{x-2 b} \) is
(Assume that everything is defined) This question has multiple correct options
A. Independent of \( a \)
B. Independent of \( b \)
c. Independent of \( x \)
D. None of these
Subject: Chemistry
To \( 1.0 L \) solution containing 0.1 mol
each of \( N H_{3} \) and \( N H_{4} C l, 0.05 \) mol
NaOH is added. The change in pH will be \( \left(p K_{a} \text { for } C H_{3} C O O H=4.74\right) \)
A . 0.30
B . -0.30
c. 0.48
D . -0.48
Subject: Chemistry
\( \boldsymbol{P} \frac{1 . C H_{3} M g B r}{2 . H_{3} O^{+}} R \frac{1 . d i l . N a O H}{2 . \Delta} 4 \)
methylpent-3-en-2-one
\( \boldsymbol{P} \) is :
A. ethanamine
B. ethanal
c. propanone
D. ethanenitrile
Subject: Physics
A source of sound vibrates according to the equation \( y=0.03 \sin \pi t . \) The
velocity of the wave is \( 1.5 \mathrm{m} / \mathrm{s} \). What is the wavelength of the wave?
\( A \cdot 3 m \)
B. 6 m
c. \( 4.5 \mathrm{m} \)
D. \( 1.5 \mathrm{m} \)
Subject: Maths
\( \left(\frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}\right)^{2}+\cos \left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)=\mathbf{0} \)
Subject: Chemistry
Among the methods for extracting metals from their ores, i.e., \( 1 . \) roasting a metal sulphide, 2. chemical reduction of a metal oxide, and 3. electrolysis, the preferred method depends on \( E^{\circ} \) value
for the reducing half-reaction:
\( M^{n+}(a q)+n e^{-} \rightarrow M(s) \)
Which method is preferred for the metals
with the most negative \( E^{\circ} \) values?
Subject: Maths
The temperature of a body decreased
from \( 200^{\circ} \) to \( 100^{\circ} \) in 1 hour. Determine
how many degrees the body cooled in one hour more if the environment
temperature is \( 0^{\circ} ? \)
A \( .30^{\circ} \)
B . \( 40^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 60^{\circ} \)
Subject: Physics
Impulse 0.45 is applied to a 200 g model rocket at rest what will be its
final speed? (neglect gravity)
\( A \cdot 2.25 \mathrm{m} / \mathrm{s} \)
B. 22.5 \( \mathrm{m} / \mathrm{s} \)
c. \( 2250 \mathrm{m} / \mathrm{s} \)
D. \( 4500 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Assertion
Spontaneous process is an irreversible process and may be reversed by some
external agency.
Reason
Decrease in enthalpy is a contributory
factor for spontaneity.
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
Vessel shown in the figure has two
sections of areas of cross section \( \boldsymbol{A}_{\mathbf{1}} \)
and \( A_{2} . \) A liquid of density \( \rho \) fills both
sections up to a height \( h \) in each. Neglect atmospheirc pressure
A. The pressure at the base of the vessel is \( 2 h \rho g \)
B. The force exerted by the liquid on the base is \( 2 h \rho A_{2} g \)
C. The weight of the liquid is less thatn \( 2 h g \rho A_{2} \)
D. Walls of the vessel at the level \( x \) exert a downward
force \( h g \rho\left(A_{2}-A_{1}\right) \) on the liquid.
Subject: Maths
n the figure measure of two angles are
given. If line ED \( \| \operatorname{seg} A B \) and \( E-C-D \) then
find the values of \( x \) in degrees.
\( A \cdot 35 \)
B. \( 55^{\circ} \)
\( c \cdot 65^{\circ} \)
\( D .95 \)
Subject: Maths
For the matrix \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{4} & -\mathbf{4} & \mathbf{5} \\ -\mathbf{2} & \mathbf{3} & -\mathbf{3} \\ \mathbf{3} & -\mathbf{3} & \mathbf{4}\end{array}\right] \)
Subject: Maths
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( \mathbf{0 . 8 6} \)
A \( \cdot \frac{43}{50} \)
в. \( \frac{13}{50} \)
c. \( \frac{91}{50} \)
D. \( \frac{83}{50} \)
Subject: Maths
If the equations of the hypotenuse and a side of a right-angled isosceles triangle be \( \boldsymbol{x}+\boldsymbol{m} \boldsymbol{y}=\mathbf{1} \) and \( \boldsymbol{x}=\boldsymbol{k} \) respectively
then
This question has multiple correct options
\( \mathbf{A} \cdot m=1 \)
в. \( m=k \)
c. \( m=-1 \)
D. \( m+k=0 \)
Subject: Maths
In two construction companies \( A \) and \( B \)
the average weekly wages in rupees and the standard deviations are as
follows:
\( \begin{array}{lll}\text { Company } & \begin{array}{l}\text { Average of } \\ \text { wages }(\text { in } \mathrm{Rs})\end{array} & \begin{array}{l}\text { S.D of wages } \\ \text { in }(\mathrm{Rs})\end{array} \\ A & 3450 & 6.21 \\ B & 2850 & 4.56\end{array} \)
Determine which factory has greater variability in individual wages?
Subject: Physics
A house has four tubelights, three fans and a television. Each tubelight draws
\( 40 W . \) The fan draws \( 80 W \) and the
television draws \( 100 \mathrm{W} \). On an average,
all the tubelights are kept on for 5 hours, all fans for 12 hours and the
television for 6 hours everyday. Find the
\( \operatorname{cost} \) of electric energy used in 30 days at the rate of \( R s .3 .00 \) per KWH
Subject: Physics
In a circuit for finding the resistance of a galvanometer by half deflection
method, a \( 6 V \) battery and a high resistance of \( 11 k \Omega \) are used. The figure
of merit of the galvanometer \( 60 \mu A / \) division. In the absence of shunt
resistance, the galvanometer produces a deflection of \( \theta=9 \) divisions when
current flows in the circuit. The value of
the shunt resistance that can cause the
deflection of \( \boldsymbol{\theta} / 2, \) is closest to
A . \( 55 \Omega \)
B. \( 110 \Omega \)
c. \( 220 \Omega \)
D. \( 550 \Omega \)
Subject: Physics
A small disc \( A \) is placed on an inclined
plane forming an angle \( \alpha \) with the
horizontal (shown in figure above) and
is imparted an initial velocity \( v_{0} \). Find
how the velocity of the disc depends on
the angle \( \varphi \) if the friction coefficient
\( k=\tan \alpha \) and at the initial moment
\( \varphi_{0}=\frac{\pi}{2} \)
A \( \cdot v=\frac{v_{0}}{1+2 \cos \varphi} \)
в. \( v=\frac{v_{0}}{1-2 \cos \varphi} \)
c. \( v=\frac{v_{0}}{1+\cos \varphi} \)
D. \( v=\frac{v_{0}}{1-\cos \varphi} \)
Subject: Chemistry
\( \Delta H_{c o m b} \) of \( C H_{4}, C_{2} H_{6} \) and \( C_{3} H_{8} \) are
-210,-368.4 and \( -526.3 k c a l m o l^{-1} \)
Hence \( \Delta \boldsymbol{H}_{c o m b} \) of \( \boldsymbol{C}_{4} \boldsymbol{H}_{10} \) is
approximately:
A . \( -684.0 \mathrm{kcal} \)
в. -368.4 kcal
c. \( -842.0 \mathrm{kcal} \)
D. - 600.0 k call \( l \)
Subject: Maths
Prove the following by using the principle of mathematical induction for
all \( n \in: \)
\( 1+\frac{1}{(1+2)}+\frac{1}{(1+2+3)}+\dots \dots \dots+ \)
\( \frac{1}{1+2+3+\ldots . n)}=\frac{2 n}{(n+1)} \)
Subject: Chemistry
An electron in a Bohr orbit of a hydrogen
atom with the quantum number \( n_{2} \) has
an angular momentum \( 4.2176 \times \) \( 10^{-34} k g m^{2} s^{-1} . \) If electron drops from
this level to the next lower level, then the
wavelength of this line is:
A \( \cdot 18.75 \times 10^{-7} m \)
B. \( 1.87 \times 10^{-7} \mathrm{m} \)
c. \( 187.5 \times 10^{-7} \mathrm{m} \)
D. \( 0.187 \times 10^{-7} m \)
Subject: Maths
There are two groups of subjects one of which consists of 5 science subjects and 3 engineering subjects and the
other consists of 3 science and 5
engineering subjects. An unbaised die
is cast. If number 3 or number 5 turns
up, a subject is selected at random
from the first group, other wise the
subject is selected at random from the
second group. Find the probability that an engineering subject is selected ultimately.
A \( \cdot \frac{13}{24} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{11}{24} \)
Subject: Physics
A black body is at a temperature of
\( 2880 \mathrm{K} . \) The energy of radiation emitted
by this body between wavelengths 499
nm and \( 500 \mathrm{nm} \) is \( U_{1} ; \) between \( 999 \mathrm{nm} \)
and \( 1000 \mathrm{nm} \) is \( U_{2} ; \) and between 1499
\( \mathrm{nm} \) and \( 1500 \mathrm{nm} \) is \( U_{3} . \) Then, (Wein's
constant \( \left.\boldsymbol{b}=\mathbf{2 . 8 8} \times \mathbf{1 0}^{\mathbf{6}} \boldsymbol{n m} \boldsymbol{K}\right) \)
A. \( U_{1}=0 \)
в. \( U_{3}=0 \)
\( \mathbf{c} \cdot U_{1}>U_{2} \)
D. \( U_{2}>U_{1} \)
Subject: Chemistry
polymerization of styrene and
acrylonitrile in the presence of peroxide
ss
4
\[
\left[\begin{array}{c}
\mathbf{c} \\
\mathbf{C H}-\mathbf{C H}_{2}-\mathbf{C H}_{2}-\mathbf{I} \mathbf{H} \\
\mathbf{C}_{\mathbf{6}} \mathbf{H}_{\mathbf{5}}
\end{array}\right]
\]
3
\[
\left[\begin{array}{l}
\mathbf{C}_{6} \mathbf{H}_{5} \mathbf{C} \mathbf{N} \\
\mathbf{C}-\mathbf{C} \mathbf{H}-\mathbf{C} \mathbf{H}_{2} \\
\mathbf{C} \mathbf{H}_{3}
\end{array}\right]
\]
\( c \)
\[
\left[\begin{array}{cc}
\mathbf{C H}_{2}-\mathbf{C H}-\mathbf{C H}_{2}-\mathbf{C H} & \\
\mathbf{C}_{\mathbf{6}} \mathbf{H}_{\mathbf{5}} & \mathbf{C} \mathbf{N}
\end{array}\right]
\]
)
\[
\left[\begin{array}{c}
\mathbf{C}_{6} \mathbf{H}_{5} \mathbf{C N} \\
\mathbf{C H}_{2}-\mathbf{C H}-\mathbf{C} \mathbf{H}-\mathbf{C H}_{2}
\end{array}\right]
\]
Subject: Maths
The straight line which is parallel to \( x \) axis and crosses the curve \( y=\sqrt{x} \) at an
angle of \( 45^{0} \) is
A \( \cdot x=\frac{1}{4} \)
в. \( y=\frac{1}{4} \)
c. \( y=\frac{1}{2} \)
D. \( x=\frac{1}{2} \)
Subject: Physics
A hole is made at the bottom of a tank
filled with water (density \( \left.=10^{3} k g / m^{3}\right) \)
If the total pressure at the bottom of the \( \operatorname{tank} \) is \( 3 a t m\left(1 a t m=10^{5} N / m^{2}\right), \) then
the velocity of efflux is
\( \mathbf{A} \cdot \sqrt{400} m / s \)
B. \( \sqrt{200} \mathrm{m} / \mathrm{s} \)
c. \( \sqrt{600} \mathrm{m} / \mathrm{s} \)
D. \( \sqrt{500} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
The relative number of atoms of
different elements in a compound are as follows: \( A=1.33, B=1 \) and \( C=1.5 \)
The empirical formula of the compound is:
A. \( A_{2} B_{2} C_{3} \)
3
B. \( A B C \)
\( \mathbf{c} \cdot A_{8} B_{6} C_{9} \)
D. \( A_{3} B_{3} C_{4} \)
Subject: Biology
Which of the following is true regarding greenhouse effect?
A. Increase in the temperature of the earth due to high concentration of \( \mathrm{NO}_{2} \)
B. Increase in the temperature of the earth due to high concentration of \( \mathrm{SO}_{2} \)
C. Increase in the temperature of the earth due to high concentration of \( \mathrm{N}_{2} \)
D. Increase in temperature of the earth due to highh concentration of \( \mathrm{CO}_{2} \)
Subject: Physics
A body initially at rest travels a distance of \( 100 m \) in \( 5 s \) with a constant
acceleration. Find the final velocity at
the end of \( 5 s \)
\( \mathbf{A} \cdot 20 m s^{-1} \)
B. \( 30 m s^{-1} \)
\( \mathbf{c} \cdot 35 m s^{-1} \)
D. \( 40 \mathrm{ms}^{-1} \)
Subject: Maths
Divide the polynomial by monomial:
\( y^{3}-64 ; y-4 \)
\( \mathbf{A} \cdot(y-4)\left(y^{2}+4 y+16\right)+0 \)
B \( \cdot(y+2)\left(y^{2}+y+16\right)+0 \)
\( \mathbf{c} \cdot(y+74)\left(y^{2}-4 y+16\right)+0 \)
D. \( (y-3)\left(y^{2}+3 y+2\right)+0 \)
Subject: Physics
When a rod of magnetic material size \( 10 c m \times 0.5 c m \times 0.2 c m \) is located in
magentic field of \( 0.5 \times 10^{4} \mathrm{A} / \mathrm{m} \) then \( \mathrm{a} \)
magnetic moment of \( 5 A m^{2} \) is induced in it. Find out magnetic induction in rod.
Subject: Maths
In a village, an enumerator has surveyed for 25 households. The size of
the family (number of family members) and the number of families is tabulated
as follows:
Size of
\[
\begin{array}{lcccc}
\begin{array}{l}
\text { the family } \\
\text { (No. of } \\
\text { members) }
\end{array} & \begin{array}{c}
1- \\
3
\end{array} & \begin{array}{c}
3- \\
5
\end{array} & \begin{array}{c}
5- \\
7
\end{array} & \begin{array}{c}
7- \\
9
\end{array} \\
\begin{array}{l}
\text { No. of } \\
\text { families }
\end{array} & 6 & 7 & 9 & 2
\end{array}
\]
Find the mode of the data.
Subject: Maths
Mohan bought a flat worth Rs.10,00,000. He sells it to Rajesh at a profit of \( 10 \% \). If after sometime Rajesh sells it back to Mohan at a \( 10 \% \) loss,
then the amount gain by Mohan is
A. Rs.1, 00,000
в. \( R s .10,00,000 \)
c. \( R s .11,00,000 \)
D. Rs.1,10,000
Subject: Physics
A charge of 10 e.s.u is placed at the distance of \( 2 \mathrm{cm} \) from a charge of 40
e.s.u and \( 4 \mathrm{cm} \) from another charge of
20 e.s.u.The potential energy of charged
10 e.s.u is?
A. 87.5
B. 112.5
c. 150
D. 250
Subject: Chemistry
Assertion
Esterification is a process in which a sweet smelling substance is produced
Reason
When ester react with sodium
hydroxide an alcohol and sodium salt of
carboxylic acid are obtained.
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
In the formation of certain compound, the central atom uses its hybrid orbital
and has a bond angle aroumd it as \( 105^{\circ} \)
The percentage of s-character in the
hybrid orbital is likely to be
A. \( 20-25 \% \)
B. \( 35-40 \% \)
c. \( 10-15 \% \)
D. \( 23-25 \% \)
Subject: Biology
Which of the following lead to pregnancy and development of embryo.
(i) Fertilization of egg
(ii) Maturation of egg
(iii) Release of egg
(iv) Embedding of embryo in thickened uterine wall.

Which of the following options gives the correct order of sequence in which they
occur?
A \( \cdot(i),(i \text { i) },(i i),(i v) \)
B. (ii), (i), (iii), (iv)
\( c \cdot(i),(i v),(i),(\text { iii) }) \)
D. None of the above
Subject: Chemistry
9.2 grams of \( N_{2} O_{4}(g) \) is taken in a
closed one litre vessel and heated till
the following equilibrium is reached,
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) . \) At equilibrium,
\( 50 \% N_{2} O_{4}(g) \) is dissociated. What is
the equilibrium constant? (in \( M) \)
(molecular weight of \( N_{2} O_{4}=92 \) )
A . \( 0 . \)
B. 0.4
c. 0.3
D. 0.2
Subject: Physics
\( A 5 \mu F \) capacitor is connected to a 200 \( \mathrm{V}, 100 \mathrm{Hz} \) ac source. The capacitive
reactance is:
\( \mathbf{A} \cdot 212 \Omega \)
B. \( 312 \Omega \)
c. \( 318 \Omega \)
D. \( 412 \Omega \)
Subject: Chemistry
A 0.15 molal solution of \( K_{4}\left[F e(C N)_{6}\right. \)
in water freezes at \( -0.65^{\circ} \mathrm{C} \). What is
the apparent percentage of dissociation of this compound in this solution? \( \left[\boldsymbol{K}_{f} \text { for water }=\mathbf{1 . 8 6}^{\circ} \boldsymbol{C} \boldsymbol{m o l}^{-1}\right] \)
A . 0.33
B. 0.52
\( c .0 .63 \)
D. 0.79
Subject: Maths
Identify the graph of the polynomial function \( \boldsymbol{f} \)
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{\boldsymbol{4}}+\mathbf{1} \)
\begin{tabular}{|l|l|l|l|l|}
\hline 1 & & & & & \\
\hline & & & & & \\
\hline & & & & & \\
\hline & & & & & \\
\hline & & & & \( \mathrm{d} \) & & \\
\hline & & & & & & \\
\hline
\end{tabular}
A. graph a
B. graph b
C. graph c
D. graph d
Subject: Physics
A bomb of mass 2 kg which is at rest
explodes into three fragments of equal
masses. Two of the fragments are found to move with a speed of \( 1 \mathrm{m} / \mathrm{s} \) each in mutually perpendicular direction. The total energy released during explosion is then
A . 1.5
B. 2 J
c. 4 J
D. 5 J
Subject: Physics
A vessel containing 9 litres of an ideal gas at \( 760 \mathrm{mm} \) pressure is connected to an evacuated 9 litre vessel. The resultant
pressure is
\( A \cdot 380 \mathrm{mm} \)
B. 760 mm
c. \( 190 \mathrm{mm} \)
D. 1140 mm
Subject: Biology
Which of the following are needed for
blood clotting?
A \( \cdot \mathrm{Ca}^{++} \) and vitamin E
B. \( \mathrm{Ca}^{++} \) and vitamin \( \mathrm{K} \)
c. \( K^{+} \) and vitamin A
D. \( K^{+} \) and vitamin \( K \)
Subject: Physics
Range of vision of a normal human eye
is from:
\( A \cdot 100 \mathrm{m} \) to \( 25 \mathrm{cm} \)
B. \( 1 \mathrm{km} \) to \( 25 \mathrm{cm} \)
c. Infinity to 25 m
D. Infinity to 25 cm
Subject: Chemistry
The number of atoms in 0.1 mol of a
triatomic gas is:
A. \( 6.026 \times 10^{22} \)
2
B . \( 1.806 \times 10^{23} \)
c. \( 3.600 \times 10^{23} \)
D. \( 1.800 \times 10^{2} \)
Subject: Physics
In photoelectric effect, the momentum
of incident photon of energy \( 3 \times 10^{-19} J \)
is :
\( \mathbf{A} \cdot 9 \times 10^{11} \mathrm{kgms}^{-1} \)
B. zero
c. \( 10^{-27} \mathrm{kgms}^{-1} \)
D. \( 3 \times 10^{-11} \mathrm{kgms}^{-1} \)
Subject: Chemistry
Write the name of following compounds:
\( (\mathrm{A}) C_{6} H_{5} N_{2}^{\oplus} H S O_{4}^{\ominus} \)
(B) Ref. image
\[
\langle 0\rangle-\mathrm{N}=\mathrm{N}-\sqrt{\bigcirc}\rangle-\mathrm{o} \mathrm{H}
\]
Subject: Physics
A particle is projected vertically upwards and it reaches the maximum height H in time T seconds. The height of the particle at any time t will be
A \( \cdot g(t-T)^{2} \)
B \( \cdot H-\frac{1}{2} g(t-T)^{2} \)
c. \( \frac{1}{2} g(t-T)^{2} \)
D. \( H-g(t-T)^{2} \)
Subject: Physics
toppr
Q Type your question.
stationary by applying a force P parallel to the plane is taken to be positive. As P is varied from \( \boldsymbol{P}_{1}=\boldsymbol{m} \boldsymbol{g}(\sin \boldsymbol{\theta}-\boldsymbol{\mu} \cos \boldsymbol{\theta}) \)
to \( P_{2}=m g(\sin \theta+\mu \cos \theta), \) the
frictional force f verses P graph will look
like
\( \mathbf{A} \)
3
\( c \)
\( D \)
Subject: Chemistry
Select the coloured compound amongst the following:
(Atomic no. \( \boldsymbol{T} \boldsymbol{i}=\mathbf{2} 2, \boldsymbol{C r}=\mathbf{2 4}, \boldsymbol{C u}= \)
\( \mathbf{2 9}, \mathbf{Z n}=\mathbf{3 0} \mathbf{)} \)
A. \( T i C l_{4} \)
в. \( C r C l_{3} \)
c. \( Z n C l_{2} \)
D. \( C u C l \)
Subject: Physics
If \( y \) co-ordenate of a particle moving in
\( \boldsymbol{x}-\boldsymbol{y} \) plane is given as \( \boldsymbol{y}= \)
\( \sqrt{60-9 x^{2} m / s} \) then graph between \( y \)
and \( x \) is
A. Straight line
B. Circle
c. parabolic
D. Ellipse
Subject: Chemistry
After electrolysis of a sodium chloride
solution with inner electrodes for a
certain period of time, \( 600 \mathrm{mL} \) of the \( 1 \mathrm{N} \)
solution was left which was found to be
NaOH. During the same time 31.80 g of Cu was deposited in copper voltameter in series with the electrolytic cell. The \% yield of NaOH obtained will be:
(Atomic mass of \( C u=63.6 .) \)
Subject: Physics
The displacement ( in \( \mathrm{m} \) ) of a particle of mass 100 g from its equilibrium position is given by the equation:
\[
\boldsymbol{y}=\mathbf{0 . 0 5} \sin 3 \boldsymbol{\pi}(\mathbf{5} \boldsymbol{t}+\mathbf{0 . 4})
\]
A. the time period of motion is \( 1 / 30 \) sec
B. the time period of motion is \( 1 / 705 \) sec
c. the maximum acceleration of the particle is
\[
11.25 \pi^{2} m / s^{2}
\]
D. the force acting on the particle is zero when the displacement is 0.05 \( \mathrm{m} \).
Subject: Physics
Two equal resistances are connected in the gaps of a meter bridge. If the resistance in the left gap is increased by \( 10 \%, \) the balancing point shift :
A. \( 10 \% \) to right
B. \( 10 \% \) to left
c. \( 9.6 \% \) to right
D. \( 4.8 \% \) to right
Subject: Chemistry
Select the incorrect statement
regarding the given reaction.
\( \boldsymbol{R} \boldsymbol{C O C l}+\boldsymbol{H}_{2} \frac{\boldsymbol{P d}-\boldsymbol{B a S O}_{4}}{\boldsymbol{\lambda}} \boldsymbol{R C H O}+ \)
\( \boldsymbol{H} \boldsymbol{C l} \)
A. \( P d \) acts as a positive catalyst.
B. It is Rosenmund reaction
c. \( B a S O_{4} \) acts as poison for \( P d \)
D. \( B a S O_{4} \) acts as promoter for \( P d \).
Subject: Physics
Three bodies \( A, B \) and \( C \) are moving in
a straight line in the same direction
such that relative velocity of \( A \) w.r.t \( B \) is
\( 2 m / s, \) relative velocity of \( B \) w.r.t \( C \) is
\( \mathbf{5} \boldsymbol{m} / \boldsymbol{s} \)
Find the relative velocity of \( C \) w.r.t \( A \)
A \( .-3 m / s \)
в. \( 2 m / s \)
c. \( -2 m / s \)
D. \( 3 m / s \)
Subject: Chemistry
Assertion (A): Anhydrous Calcium chloride is used as catalyst in cyanamide process Reason (R): Catalyst increases the rate
of reaction.
A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the correct explanation of (A)
\( c . \) (A) is true and
(R) is false
D. (A) is false but (R) is true
Subject: Chemistry
Which of the following cations is not hydrolyzed in aqueous solution?
(i) \( M g^{2+} \)
\( (\text { ii }) C a^{2+} \)
\( (\text { iii }) N a^{+} \)
\( (\text { iv }) \boldsymbol{K}^{+} \)
A. (i), (ii)
B. (iii), (iv)
c. (i), (ii), (iii), (iv)
D. (i), (ii), (iii)
Subject: Physics
A sector cut from a uniform disk of
radius \( 12 \mathrm{cm} \) and a uniform rod of the
same mass bent into shape of an arc
arranged facing each other as shown in
the figure. If center of mass of the
combination is at the origin, what is the
radius of the arc?
\( \mathbf{A} \cdot 8 \mathrm{cm} \)
\( \mathbf{B} \cdot 9 \mathrm{cm} \)
\( c .12 \mathrm{cm} \)
D. \( 18 \mathrm{cm} \)
Subject: Physics
Sitar maestro Ravi Shankar is playing sitar on its strings, and you, as a physicist (unfortunately without musical ears!), observed the following oddities.
I. The greater the length of a vibrating string, the smaller its frequency.
II. The greater the tension in the string, the greater is the frequency.
III. The heavier the mass of the string, the smaller the frequency.
IV. The thinner the wire, the higher its frequency. The maestro signalled the following combination as correct one.
A. II, III and IV
B. ।, / I and IV
c. ।, ॥ land III
D. I, II, III and IV
Subject: Chemistry
In the process of extraction of gold,
1.) Roasted Au ore \( +\boldsymbol{C} \boldsymbol{N}_{(a q)}^{-}+\boldsymbol{O}_{2} \longrightarrow \)
\( [\boldsymbol{X}]+\boldsymbol{N} \boldsymbol{a} \boldsymbol{O} \boldsymbol{H} \)
2.) \( [\boldsymbol{X}]+\boldsymbol{Z} \boldsymbol{n} \longrightarrow[\boldsymbol{Y}]+\boldsymbol{A} \boldsymbol{u} \)
A \( \cdot X=\left[A u(C N)_{2}\right]^{-}, Y=\left[Z n(C N)_{4}\right]^{2} \)
B . \( X=\left[A u(C N)_{4}\right]^{2-}, Y=\left[Z n(C N)_{4}\right]^{2} \)
c. \( X=\left[A u(C N)_{2}\right]^{-}, Y=\left[Z n(C N)_{6}\right]^{4-} \)
D. \( X=\left[A u(C N)_{4}\right]^{-}, Y=\left[Z n(C N)_{4}\right]^{2} \)