AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which among the following is used in
the treatment of cancer?
\( \mathbf{A} \cdot \operatorname{cis}-\left[P t(e n)_{2} C l_{2}\right] \)
B \cdot \( \operatorname{cis}-\left[P t C l_{2}\left(N H_{3}\right)_{2}\right] \)
c. trans- \( \left[P t(e n)_{2} C l_{2}\right. \)
D. trans- \( \left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \)
Subject: Chemistry
A square planar complex is formed by hybridization of which atomic orbitals?
A \( . s, p_{x}, p_{y}, d_{y z} \)
В. \( s, p_{x}, p_{y}, d_{x^{2}-y^{2}} \)
c. \( s, p_{x}, p_{y}, d_{z^{2}} \)
D. \( s, p_{y}, p_{x}, d_{x y} \)
Subject: Physics
An ice cube of mass \( 0.1 \mathrm{kg} \) at \( 0^{\circ} \mathrm{C} \) is
placed in an isolated container which is
\( \operatorname{at} 227^{\circ} \mathrm{C} . \) The specific heat \( S \) of the container varies with temperature \( \boldsymbol{T} \)
according to the empirical relation \( S= \)
\( \boldsymbol{A}+\boldsymbol{B} \boldsymbol{T}, \) where \( \boldsymbol{A}=\mathbf{1 0 0} \boldsymbol{c a l} / \boldsymbol{k g}-\boldsymbol{K} \)
and \( B=2 \times 10^{-2} c a l / k g-K^{2} . \) If the
final temperature of the container is
\( 27^{\circ} \mathrm{C}, \) determine the mass of the
container. (Latent heat of fusion of
water \( =8 \times 10^{4} c a l / k g-K, \) Specific
heat of water \( \left.=10^{3} c a l / k g-K\right) \)
Subject: Chemistry
As per given sequence of reaction, His:
\[
\begin{aligned}
\mathrm{Ca}+\mathrm{H}_{2} & \frac{\Delta}{\Delta} \rightarrow \mathrm{F} \text { (Solid) } \\
(\mathrm{F})+\mathrm{CaCl}_{2} & \longrightarrow(\mathrm{G}) \text { Solid } \\
(\mathrm{G})+\mathrm{H}_{2} \mathrm{O} & \longrightarrow(\mathrm{H}) \text { gas }
\end{aligned}
\]
\( \mathbf{A} \cdot H C l \)
в. \( C a H C l \)
\( c \cdot C l_{2} \)
D. \( H_{2} \)
Subject: Physics
The uniform magnetic field perpendicular to the plane of a conducting ring of radius a changes at
the rate of \( \alpha, \) then
This question has multiple correct options
A. all the points on the ring are at the same potential
B. the emf induced in the ring is \( \pi a^{2} \alpha \)
C. electric field intensity \( E \) at any point on the ring is zero
\( \mathbf{D} \cdot E=(a \alpha) / 2 \)
E . answer required
Subject: Physics
A rectangular loop carrying current \( \boldsymbol{I}_{1} \) is placed near a long straight wire such that the wire is parallel to one of the sides of the loop as shown in the figure. If the straight wire carries a current of
\( I_{2} \) the loop will
A. Move away from the wire
B. Move towards the wire
c. Not move at all
D. Move only if the two currents are equal
Subject: Maths
The differential equation representing
the family of curves \( y^{2}=a(a x+b) \)
where \( a \) and \( b \) are arbitrary constants, is of
A. order 1, degree 1
B. order 1, degree 3
c. order 2 ,degree 3
D. order \( 1, \) degree 4
E. order 2, degree 1
Subject: Maths
Find the equation of the circle of minimum radius which contains the
three circles
\( \boldsymbol{S}_{1} \equiv \boldsymbol{x}^{2}+\boldsymbol{y}^{2}-\boldsymbol{4} \boldsymbol{y}-\boldsymbol{5}=\boldsymbol{0} \)
\( \boldsymbol{S}_{2} \equiv \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+\mathbf{1 2} \boldsymbol{x}+\boldsymbol{4} \boldsymbol{y}+\boldsymbol{3 1}=\mathbf{0} \)
and \( S_{2} \equiv x^{2}+y^{2}+6 x+12 y+ \)
\( \mathbf{3 6}=\mathbf{0} \)
Subject: Maths
If \( f^{\prime}(x) \) exists for all \( x \in R \) and \( g(x)= \)
\( \boldsymbol{f}(\boldsymbol{x})-(\boldsymbol{f}(\boldsymbol{x}))^{2}+(\boldsymbol{f}(\boldsymbol{x}))^{3} \) for all \( \boldsymbol{x} \in \boldsymbol{R} \)
then
A. \( g(x) \) is increasing whenever \( f \) is increasing
B. \( g(x) \) is increasing whenever \( f \) is decreasing
\( \mathrm{c} . g(x) \) is decreasing whenever \( f \) is increasing
D. none of these
Subject: Chemistry
Using the standard electrode potentials given in Table \( 3.1, \) predict if the reaction between the following is feasible:
(i) \( F e^{3+}(a q) \) and \( I^{-}(a q) \)
(ii) \( A g^{+}(a q) \) and \( C u(s) \)
(iii) \( F e^{3+}(a q) \) and \( B r^{-}(a q) \)
(iv) \( A g(s) \) and \( F e^{3+}(a q) \)
\( (v) B r_{2}(a q) \) and \( F e^{2+}(a q) \)
Subject: Chemistry
Out of \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{3}, \boldsymbol{H}_{2} \boldsymbol{S}_{4} \boldsymbol{O}_{6}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{5} \) and
\( H_{2} S_{2} O_{8} \) peroxy acids are :
A. \( H_{2} S_{2} O_{3}, H_{2} S_{4} O_{6} \)
в. \( H_{2} S_{4} O_{6}, H_{2} S O_{5} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{SO}_{5}, \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{8} \)
D. \( H_{2} S_{2} O_{3}, H_{2} S_{2} O_{8} \)
Subject: Physics
Assertion(A): However long a fuse wire may be, the safe current that can be
allowed is the same.
Reason (R) : The safe current that can be allowed to pass through a fuse wire depends on the radius of the wire.
A. Both (A) and (R) are true and (R) is the correct explanation of A
B. Both (A) and (R) are true but (R) is not the correct explanation of
c. (A) is true but (R) is false
D. (A) is false but (R) is true
Subject: Maths
The perimeter of the incircle is \( 30 \mathrm{m} \) and its radius \( 10 \mathrm{m} . \) What is the area of
the triangle?
A. 150 sq. \( \mathrm{m} \)
В. 140 sq. \( \mathrm{m} \)
c. 130 sq. \( \mathrm{m} \)
D. 120 sq. \( m \)
Subject: Physics
These questions consist of two statement, each printed as assertion and reason. While answering these question you are required to choose any one of the following five responses.
Assertion : If a body is thrown upwards. the distance covered by it in the last second of upward motion is about \( 5 \mathrm{m} \) irrespective of its initial speed.
Reason: The distance coveted in the
last second of upward motion is equal
to that covered in the first second of
downward motion when the particle is dropped.
A. If both assertion and reason are true but the reason is the correct explanation of assertion
B. If both assertion and reason are true but the reason is not the correct explanation of assertion
c. If assertion is true but reason is false.
D. If both the assertion and reason are false
E. If reason is true but assertion is false
Subject: Maths
If \( \boldsymbol{x}=\mathbf{7}+\mathbf{4} \sqrt{\mathbf{3}}, \boldsymbol{y}=\mathbf{7}-\mathbf{4} \sqrt{\mathbf{3}}, \) then \( \frac{\mathbf{1}}{\boldsymbol{x}}+ \)
\( \frac{1}{y}= \)
A . 11
B. 14
c. 8
D. 6
Subject: Maths
\( A B C \) is an isosceles triangle in which \( A B \)
\( =A C A \) circle through \( B \) touches side \( A C \)
at its mid point \( \mathrm{D} \) and intersects \( \mathrm{AB} \) at
\( P, \) then \( A P \) will be-
\( A \cdot 2 A D \)
B \( \cdot \frac{1}{2} A B \)
c. \( \frac{1}{4} A B \)
D. \( \frac{1}{2} A C \)
Subject: Physics
The displacement of a particle starting from rest \( (a t t=0) \) is given by \( s= \)
\( 6 t^{2}-t^{3} . \) The time at which the particle
will attain zero velocity again is
A . \( 4 s \)
B. 8 s
\( c \cdot 12 s \)
D. 16 \( s \)
Subject: Maths
If \( \boldsymbol{y}=\boldsymbol{a}+\boldsymbol{b} \boldsymbol{x}^{2} ; \mathbf{a}, \mathbf{b} \) are arbitrary
constants then:
A \( \cdot \frac{d^{2} y}{d x^{2}}=2 x y \)
B. \( x \frac{d^{2} y}{d x^{2}}=\frac{d y}{d x} \)
c. \( x \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+y=0 \)
D. \( \frac{d^{2} y}{d x^{2}}=2 y \)
Subject: Chemistry
The reaction of \( \mathbf{P}_{4} \) with \( X \) leads
selectively to \( \mathbf{P}_{4} \mathbf{O}_{6} \). The \( \mathbf{X} \) is:
A . Dry \( \mathrm{O}_{2} \)
B. A mixture of \( \mathrm{O}_{2} \) and \( \mathrm{N}_{2} \)
c. Moist \( \mathrm{O}_{2} \)
D. \( \mathrm{O}_{2} \) in the presence of aqueous \( \mathrm{NaOH} \)
Subject: Chemistry
A tube of light emits light of wavelength \( \mathbf{5 2 9 6} \) A. The bulb is rated as 200watt
and \( 20 \% \) of the energy is converted into light. If the whole light emitted is allowed to fall on a metal surface
having work function \( 3.00 \times 10^{-19} J \)
calculate the no. of electrons ejected in
\( \mathbf{1 0} \boldsymbol{s} \)
Subject: Chemistry
Assertion
Melting and boiling points of \( D_{2} O \) are
higher than those of ordinary \( \boldsymbol{H}_{2} \boldsymbol{O} \)
Reason
\( D_{2} O \) has lesser degree of association
and lower molecular mass than \( \boldsymbol{H}_{2} \boldsymbol{O} \)
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
If \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\mathbf{5} \boldsymbol{x}^{2}-\boldsymbol{3} \boldsymbol{x}, \) verify
conditions of the mean value theorem
satisfied for \( \boldsymbol{a}=\mathbf{1}, \boldsymbol{b}=\mathbf{3} . \) Find \( \boldsymbol{c} \boldsymbol{\epsilon}(\mathbf{1}, \boldsymbol{3}) \)
such that \( \boldsymbol{f}^{\prime}(\boldsymbol{c})=\frac{\boldsymbol{f}(\boldsymbol{3})-\boldsymbol{f}(1)}{\boldsymbol{3}-1} \)
\( A \cdot 2 \)
B.
\( c .3 \)
D.
Subject: Biology
Modern taxonomic studies do not deal
with
(a) External structure
(b) Structure of cell
(c) Internal structure
(d) Phylogeny
(e) Ontogeny
(f) Nutrition
\( A \cdot(d) \) and \( (f) \)
B. (b) and (c)
\( c \cdot(a) \) and \( (c) \)
D. (c) and (e)
Subject: Biology
Most economical and effective method
to control pH of the soil is
\( A \cdot \operatorname{cac} O_{3} \)
\( \mathbf{B} \cdot \operatorname{Ca}(O H)_{2} \)
c. \( \operatorname{cacl}_{2} \)
D. \( \operatorname{ca}\left(N O_{3}\right)_{2} \)
Subject: Chemistry
The correct order of stability of \( \boldsymbol{A l}^{+}, \boldsymbol{A l}^{+\mathbf{2}}, \boldsymbol{A l}^{+\mathbf{3}} \mathbf{i s} \)
A \( \cdot A l^{+3}>A l^{+2}>A l^{+} \)
B. \( A l^{+2}>A l^{+3}>A l^{+} \)
c. \( A l^{+2}<A l^{+}>A l^{+} \)
D. \( A l^{+3}>A l^{+}>A l^{+} \)
Subject: Physics
A person walks up a stationary
escalation in \( t_{1} \) second. If he remains
stationary on the escalator, then it can
take him up in \( t_{2} \) second. If the length of
the escalator is \( L \), then
a. Determine the speed of man with
respect to the escalator.
b. Determine the speed of the escalator.
c. How much time would it take him to
walk up the moving escalator?
Subject: Maths
\( A B C D \) is a rhombus with \( \angle A B C= \)
\( 56^{\circ}, \) then \( \angle A C B \) will be
A \( .56^{\circ} \)
B. \( 124^{\circ} \)
\( c \cdot 62^{0} \)
D. \( 34^{\circ} \)
Subject: Maths
If \( \boldsymbol{A}=\left\{\boldsymbol{x} \epsilon \boldsymbol{R} / \frac{\boldsymbol{\pi}}{\boldsymbol{4}} \leq \boldsymbol{x} \leq \frac{\boldsymbol{\pi}}{\boldsymbol{3}}\right\} \) and \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sin x-x, \) then \( f(A)=: \)
A. \( \left[\frac{\sqrt{3}}{2}-\frac{\pi}{3}, \frac{1}{\sqrt{2}}-\frac{\pi}{4}\right] \)
B. \( \left[-\frac{1}{\sqrt{2}}-\frac{\pi}{4}, \frac{\sqrt{3}}{2}-\frac{\pi}{3}\right] \)
\( ^{\mathbf{C}} \cdot\left[-\frac{\pi}{3}, \frac{-\pi}{4}\right] \)
D. \( \left[\frac{\pi}{4}, \frac{\pi}{3}\right] \)
Subject: Physics
A copper rod of length \( l \) is suspended from the ceiling by one of its ends. Find the relative increment of its volume
\( \frac{\Delta V}{V} \)
A \( \cdot \frac{\Delta V}{V}=(1-2 \mu) \frac{\Delta l}{l} \)
в. \( \frac{\Delta V}{V}=(1-3 \mu) \frac{\Delta l}{l} \)
c. \( \frac{\Delta V}{V}=(1-2 \mu) \frac{2 \Delta l}{l} \)
D. \( \frac{\Delta V}{V}=(1-3 \mu) \frac{3 \Delta l}{l} \)
Subject: Maths
i. Trace of the matrix is called sum of
the elements in a principle diagonal of the square matrix.
ii. The trace of the matrix \( \left[\begin{array}{ccc}8 & 7 & 5 \\ 5 & 8 & 2 \\ 7 & 2 & 8\end{array}\right] \)
is 24 Which of the following statement is correct.
A. Only i
B. Only ii
c. Both i and ii
D. Neither i nor i
Subject: Physics
connected in a circuit as shown in
figure. The galvanometer is kept
undeflected always. Here \( A B=l . \) When
the switch \( S \) is connected to point \( S_{1} \)
\( B P=x_{1} \) and when the switch \( S \) is
connected to point \( S_{2}, B P=x_{2} . \) Here
the ratio of emf's of the two batteries,
i.e., \( \varepsilon_{1} / \varepsilon_{2} \) equal/s:
\( \mathbf{A} \cdot x_{1} / x_{2} \)
B. \( x_{2} / x_{1} \)
c. \( \frac{\left(l-x_{1}\right)}{\left(l-x_{2}\right)} \)
D. \( \frac{\left(l-x_{2}\right)}{\left(l-x_{1}\right)} \)
Subject: Chemistry
Ozone higher up in the atmosphere acts as a shield to prevent UV rays from reaching the Earth's surface These UV
rays are responsible for which of the following diseases?
(i) Skin cancer
(ii) Eye damage
(iii) Lung cancer
(iv) Damage to immune system Colour blindness
A . (i), (ii) \& (iii)
B. (i), (ii), (iv) \& (v)
\( c \cdot(i),(\text { iii) },(v) \)
D. (i), (ii), (iii), (iv) \& (v)
Subject: Chemistry
I. When an electric current runs
through a sealed tube that contains a
very low pressure of hydrogen gas, four different colors of light are produced, red, blue-green, blue-violet, and violet.
II. Energy added to the electrons
causes them to transition from lower
energy levels to higher energy levels. As the electrons return to the lower energy levels they were originally located in, photons of light are emitted.
A. Statement I is true, Statement II is true
B. Statement \( I \) is true, Statement \( I I \) is false
c. Statement \( I \) is false, statement \( I I \) is true
D. Statement \( I \) is false, Statement \( I I \) is false
Subject: Maths
Write the negation of the following
statements:
(i) \( p: \) For every positive real number \( x \) the number \( x-1 \) is also positive
(ii) \( q: A \| \) cats scratch
(iii) \( r: \) For every real number \( x, \) either
\( x>1 \) or \( x<1 \)
(iv) \( s: \) There exist a number \( x \) such that
\( \mathbf{0}<\boldsymbol{x}<\mathbf{1} \)
Subject: Physics
Two resistors, \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2}, \) are identical
but the potential difference across \( \boldsymbol{R}_{1} \)
is half the potential difference across
\( R_{2} . \) What is the ratio of the current in
\( R_{1} \) to the current in \( R_{2} ? \)
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{2} \)
c.
D. 2
E . 4
Subject: Physics
The four wire loops shown in figure have
vertical edge lengths of either \( L, 2 L \) or
3 \( L \). They will move with the same speed
into a region of uniform magnetic field \( \vec{B} \) directed out of the page. Rank them according to the maximum magnitude of the induced emf greatest to least.
A. 1 and 2 tie, then 3 and 4 tie
B. 3 and 4 tie, then 1 and 2 tie
c. 4,2,3,1
D. 4 then 2 and 3 tie, and then 1
E. answer required
Subject: Chemistry
A silver electrode is immersed in
saturated \( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S} \boldsymbol{O}_{4(a q)} . \) The potential
difference between silver and the
standard hydrogen electrode is found to be \( 0.711 V . \) Determine \( K s p\left(A g_{2} S O_{4}\right) \)
\( \left[\operatorname{Given} \boldsymbol{E}_{A \boldsymbol{g}^{+} / A \boldsymbol{g}}^{\circ}=\mathbf{0 . 7 9 9} \boldsymbol{V}\right] \)
Subject: Physics
A body dropped from the top of a tower covers \( \frac{7}{16} \) of the height in the last second of its fall. The time of fall is :
\( A \cdot 2 \sec \)
B. 4 sec
c. \( 1 \mathrm{sec} \)
D. \( \left[\frac{50}{7}\right] \) sec
Subject: Physics
A beaker full of hot water is kept in a room and it cools from
\( 90^{\circ} \mathrm{C} \) to \( 80^{\circ} \mathrm{C} \) in \( t_{1} \) sec.
II) \( 80^{\circ} \mathrm{C} \) to \( 70^{\circ} \mathrm{C} \) in \( t_{2} \) sec.
III) \( 70^{\circ} \mathrm{C} \) to \( 60^{\circ} \mathrm{C} \) in \( t_{3} \) sec.
\( 1 V) 60^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \) in \( t_{4} \) sec.
f the room temperature is \( 10^{0} \) C. Identify the order in which the time of cooling
increases
A. IV,III,II \& 1
B. ।,॥।,IV \& ॥
c. ।, ॥,॥। \& IV
D. III, I, II \& IV
Subject: Physics
One end of a steel rod \( (k= \) \( \left.45 J s^{-1} m^{-1} C^{-1}\right) \) of length \( 1.0 \mathrm{m} \) is kept
in ice at \( 0^{0} C \) and the other end is kept
in boiling water at \( 100^{0} C . \) The are aof \( \operatorname{cross} \) section of the rod is \( 0.04 \mathrm{cm}^{2} \)
Assuming no heat loss to the atmosphere, find the mass of the ice
melting per second. Latent heat of fusion of ice \( =\mathbf{3 . 3 6} \times \mathbf{1 0}^{\mathbf{5}} \mathbf{J k g}^{-1} \)
Subject: Physics
The frequency of light of wave length
\( 5000 A^{\circ} \) is :
A \( \cdot 1.5 \times 10^{3} \mathrm{Hz} \)
B \( \cdot 6 \times 10^{8} \mathrm{Hz} \)
c. \( 6 \times 10^{14} \mathrm{Hz} \)
D. \( 7.5 \times 10^{15} \mathrm{Hz} \)
Subject: Biology
Fill up the blanks in the following paragraph by selecting the correct
option.
(i) are the primary female sex organs that produce \( (\mathrm{i} \mathrm{i}) \) and \( (\mathrm{iii}) . \) Each primary
sex organ is about \( ( \) iv ) in length and is
connected to the pelvic wall and uterus
by \( (\underline{v}) \)
A. (i)-Testes, (ii)-sperms, (iii)-hormones, (iv)-4-5 \( \mathrm{cm},(\mathrm{v})- \) ligaments
B. (i)-Ovaries, (ii)-oogonia, (iii)-follicles, (iv)-2-4 \( \mathrm{cm},(\mathrm{v})- \) muscles
C . (i)-Ovaries, (ii)-ovum, (iii)-hormones, (iv)-2-4 cm, (v)ligaments
D. (i)-Testes, (ii)-sperms, (iii)-testosterone, (iv)-8-9 \( \mathrm{cm} \)
(v)-muscles
Subject: Chemistry
The enthalpy of combustion of \( \boldsymbol{H}_{2} \)
cyclohexene \( \left(C_{6} H_{10}\right) \) and cyclohexane
\( \left(C_{6} H_{12}\right) \) are -241,-3800 and -3920
kJ/mol respectively. Heat of hydrogenation of cyclohexene is:
A. -121 kJ per mol
B. +121 kJ per mol
c. +242 kJ per mol
D. -242 kJ per mol
Subject: Chemistry
Q Type your question
beaker lost mass because
INITIAL (after \( \mathrm{H}_{2} \mathrm{SO}_{4} \) is completely added)
FINAL (after exothermic reaction is completed)
\( \mathrm{H}_{2} \mathrm{SO}_{4}+2 \mathrm{NaOH} \rightarrow \mathrm{Na}_{2} \mathrm{SO}_{4}+2 \mathrm{H}_{2} \mathrm{O} \)
A. materials have less mass at high temperatures
B. the mass of the reactants and products was less than \( 100 g \)
C. sodium sulfate \( \left(N a_{2} S O_{4}\right) \) is lighter than air
D. some of the water molecules turned into gas
Subject: Physics
Two point charges \( +q \) and \( -q \) are
located at points \( (0,0,-a) \) and \( (0,0, a) \) respectively. The potential at a point \( (0,0, z) \) where \( z>a \) is
A \( \cdot \frac{2 q a}{4 \pi \epsilon_{0}\left(z^{2}+a^{2}\right)} \)
в. \( \frac{q}{4 \pi \epsilon_{0} a} \)
c. \( \frac{q a}{4 \pi \epsilon_{0} z^{2}} \)
D. \( \frac{2 q a}{4 \pi \epsilon_{0}\left(z^{2}-a^{2}\right)} \)
Subject: Maths
Find the domain of the following
functions:
\( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{3}-\mathbf{2}^{\boldsymbol{x}}-\mathbf{2}^{\mathbf{1 - x}}} \)
A . [0,1]
B . [0,4]
c. [0,2]
D. None of these
Subject: Physics
If the current in the toroidal solenoid
increases uniformly from zero to \( 6.0 A \) in \( 3.0 \mu s . \) Self inductance of the toroidal
solenoid is \( 40 \mu H . \) The magnitude of self induced emf is :
A . \( 80 V \)
B. \( 160 V \)
\( c \cdot 24 V \)
D. \( 48 \mathrm{V} \)
Subject: Physics
The density of air at N.T.P. is \( 1.293 \mathrm{gm} / \mathrm{lit} \). If
the pressure is tripled keeping its temperature constant its density becomes
A. \( 3.87 g m / l t r \)
B. \( 1.293 g m / l t r r \)
c. \( 2.586 g m / l t r \)
D. \( 0.431 g m / l t r r \)
Subject: Physics
A ferris wheel with a radius of \( 8.0 m \)
makes 1 revolution every 10 s.When a
passenger is at the top essentially a diameter above the ground, he releases a ball. How far from the point on the ground directly under the release point does the ball land?
\( \mathbf{A} \cdot \mathbf{0} \)
в. \( 1.0 \mathrm{m} \)
\( c .8 .0 m \)
D. \( 9.1 \mathrm{m} \)
Subject: Physics
The temperature of \( 3 \mathrm{kg} \) of nitrogen is raised from \( 10^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \). Compute the
heat added, the work done, and the change in internal energy if this is done at constant volume
A . \( 199800 \mathrm{J} \)
B. 19000 J
c. 199000 J
D. 190000 J
Subject: Physics
In the situation shown in figure, a
wedge of mass \( m \) is placed on a rough surface, on which a block of equal mass is placed on the inclined plane of wedge The friction coefficient between the
wedge and the block and also between
the ground and the wedge is \( \mu . A n \) external force \( F \) is applied horizontally
on the wedge towards the right, assuming block does not slide on the
wedge. Find the minimum value of Force
\( F \) at which the block will start slipping.
Subject: Physics
The reflecting surface of a plane mirror is vertical. A particle is a project in a vertical plane also perpendicular to the mirror the initial speed of the particle
is \( 10 \mathrm{m} / \mathrm{s} \) and the angle of project \( 60^{\circ} \)
from the normal of the mirror. the point of projection is at a distance \( 5 \mathrm{m} \) from particle moves towards the mirror.just before the particle touches the mirror.
the velocity of approving of the particle
and the image is:
A. \( 12 \mathrm{m} / \mathrm{s} \)
B. \( 5 \mathrm{m} / \mathrm{s} \)
c. \( 10 \mathrm{m} / \mathrm{s} \)
D. \( 5 \sqrt{5} \) m/s
Subject: Chemistry
\( (A)+\operatorname{tap} \) water \( \rightarrow \)
white turbidity soluble in aq. \( N H_{3} \)
\( (\boldsymbol{A}) \stackrel{\Delta}{\longrightarrow} \mathbf{r e s i d u e}(\mathbf{B})+\boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{O}_{2} \)
Aqueous (A) gives brown ring on adding \( F e S O_{4} \) and conc.\( H_{2} S O_{4} . \) Identify \( (A) \)
as:
A. \( N a N O_{3} \)
в. \( A g N O_{3} \)
c. \( N a N O_{2} \)
D. \( A g N O_{2} \)
Subject: Physics
One end of a uniform bar of weight \( \boldsymbol{w}_{1} \) is suspended from the roof and a weight
\( \boldsymbol{w}_{2} \) is suspended from the other end, the area of cross-section is A. What is the
stress at the mid point of the rod?
A. \( \frac{w_{1}+w_{2}}{A} \)
в. \( \frac{w_{1}-w_{2}}{A} \)
c. \( \frac{\left(w_{1} / 2\right)+w_{2}}{A} \)
D. \( \frac{w_{2} / 2+w_{1}}{A} \)
Subject: Biology
Select the correct option:
The correct sequence of flow of
electrons n the light reaction is
A. PSII, plastoquinone, cytochromes, PSI, ferredoxin
B. PSI, plastoquinone, cytochromes, PSII ferredoxin
c. PSI, ferredoxin, PSII
D. PSI, plastoquinone, cytochromes, PSII, ferredoxin
Subject: Physics
Two charges of same magnitude move
in two circlesof radii \( \boldsymbol{R}_{1}=\boldsymbol{R} \) and \( \boldsymbol{R}_{2}= \)
\( 2 R \) in a region of constant uniform
magnetic field \( B_{0} . \) The work \( W_{1}, \) and \( W_{2} \)
done by the magnetic field in the Two cases, respectively are such that:
A \( . W_{1}=W_{2}=0 \)
В. \( W_{1}>W_{2} \)
c. \( W_{1}=W_{2} \neq 0 \)
D. \( W_{1}<W_{2} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C l} \stackrel{\boldsymbol{N a C N}}{\longrightarrow} \boldsymbol{X} \stackrel{\boldsymbol{N i} / \boldsymbol{H}_{2}}{\longrightarrow} \)
\( \boldsymbol{Y} \stackrel{\text {aceticanhydride}}{\longrightarrow} \boldsymbol{Z} \)
In the above reaction sequence, \( Z \) is:
A. \( C H_{3} C H_{2} C H_{2} N H C O C H_{3} \)
B. \( C H_{3} C H_{2} C H_{2} N H_{2} \)
c. \( C H_{3} C H_{2} C H_{2} C O N H C H_{3} \)
D. \( C H_{3} C H_{2} C H_{2} C O N H C O C H_{3} \)
Subject: Maths
f \( \boldsymbol{A}=[\mathbf{2}, \mathbf{4}, \mathbf{5}], \boldsymbol{B}=[\mathbf{7}, \mathbf{8}, \mathbf{9}] \) then \( \boldsymbol{n}(\boldsymbol{A} \times \)
\( B \) ) is equal to?
Subject: Chemistry
Which molecule has both shape and geometry identical?
(।) \( \boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{2} \)
(II) \( \boldsymbol{N} \boldsymbol{H}_{3} \)
\( (\| I) P C l_{5} \)
\( (1 \vee) S F_{4} \)
A . I, III and IV
B. II, III and IV
c. ॥
D. All
Subject: Chemistry
Statement-1: Alcoholic fermentation
involves conversion of sugar into
ethanol by the action of yeast. Statement-2: Fermentation involves the
liberation of \( C O_{2} \) gas
A. Statement-1 is True, Statement-2 is True; statementis a correct explanation for statement- -
B. Statement-1 is True, Statement-2 is True; statementis NOT a correct explanation for statement-1
c. statement- - is True, statement-2 is False
D. Statement-1 is False, statement-2 is True