AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The quadrilateral \( A B C D \) formed by the point \( \boldsymbol{A}(\mathbf{0}, \mathbf{0}) ; \boldsymbol{B}(\mathbf{3}, \mathbf{4}) ; \boldsymbol{C}(\mathbf{7}, \mathbf{7}) \) and
\( D(4,3) \) is a
A. rectangle
B. rhombus
c. square
D. parallelogram
Subject: Physics
Two magnetic dipoles are lying as
shown in figure. the separation ' \( d \)
between them is very large. A point
charge \( Q \) is projected with some speed \( v \) as shown. The force experienced by
the charged particle is:
A . 0
B. \( \frac{4 \sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
c. \( \frac{\sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
D. \( \frac{2 \sqrt{2} \mu_{0} M Q v}{\pi d^{3}} \)
Subject: Maths
The area of a circle whose radius is 6
\( \mathrm{cm} \) is trisected by two concentric circles. The radius of the smallest circle
is
A \( \cdot 2 \sqrt{3} \mathrm{cm} \)
B . \( 2 \sqrt{6} \mathrm{cm} \)
\( c \cdot 2 \mathrm{cm} \)
D. \( 3 \mathrm{cm} \)
Subject: Maths
Construct a \( \Delta A B C \) in which \( A B=5 c m . \)
\( \mathrm{B}=60^{\circ} \) altitude \( \mathrm{CD}=3 \mathrm{cm} . \) Construct
\( \Delta \mathrm{AQR} \) similar to \( \Delta \mathrm{ABC} \) such that side
of \( \Delta A Q R \) is 1.5 times that of the corresponding sides of \( \Delta A C B \)
Subject: Chemistry
The thermal dissociation equilibrium of
\( \boldsymbol{C a C O}_{3}(s) \) is studied under different
conditions.
\[
\begin{array}{r}
\boldsymbol{C a C O}_{3}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{C a O}(\boldsymbol{s})+ \\
\boldsymbol{C O}_{2}(\boldsymbol{g})
\end{array}
\]
For this equilibrium, the correct statement(s) is (are):
A. \( \Delta H \) is dependent on \( T \)
B. \( K \) is independent of the initial amount of \( C a C O_{3} \)
C. \( K \) is dependent on the pressure of \( C O_{2} \) at a given \( T \)
D. \( \Delta H \) is independent of the catalyst, if any
Subject: Chemistry
Assertion: Chemical messengers are chemicals that enable communication
of message between two neurons or
between neurons and muscles.
Reason : Chemicals enter the cell
through receptor.
A. Both Assertion and Reason are incorrect.
B. Both Assertion and Reason are correct
c. Both Assertion and Reason are correct and Reason is the incorrect explanation for Assertion.
D. Assertion is correct but Reason is incorrect
E. non of these
\( F \). A and \( B \)
Subject: Physics
The average density of the earth in terms of \( g, \) Gand \( R \) is:
A \( \cdot \frac{4 \pi G R}{3 g} \)
в. \( \frac{3 g}{4 \pi G R} \)
c. \( \frac{3 g}{4 \pi G R^{2}} \)
D. \( \frac{4 \pi G R^{2}}{3 g} \)
Subject: Maths
If \( \cos x=\tan y, \cot y=\tan z \) and
\( \cot z=\tan x ; \) then \( \sin x= \)
A. \( \frac{\sqrt{5}+1}{4} \)
B. \( \frac{\sqrt{5}-1}{4} \)
c. \( \frac{\sqrt{5}+1}{2} \)
D. \( \frac{\sqrt{5}-1}{2} \)
Subject: Chemistry
A single electron ion has nuclear charge
\( +Z e \) where \( Z \) is atomic number and \( e \)
is electronic charge. It requires \( 16.52 e V \) to excite the electron from the
second Bohr orbit. Find
(a) The atomic number of element?
(b) The energy required for transition of electron from first to third orbit??
(c) Wavelength of photon required to remove electron from first Bohr orbit to
infinity?
(d) The kinetic energy of electron in first
Bohr orbit?
Subject: Physics
If a nucleus such as \( ^{226} R a \), that is
initially at rest, undergoes \( \alpha- \) decay
then which of the following statement is true?
A. The alpha particle has more kinetic energy then the daughter nucleus
B. The alpha particle has less kinetic energy then the daughter nucleus
C. The alpha particle and daughter nucleus both have same kinetic energy
D. We cannot say anything about kinetic energy of alpha particle and daughter nucleus
Subject: Maths
What should be added to \( \frac{1}{x}, \) to make it
equal to \( x ? \)
A. \( \frac{x^{2}-x}{x^{2}} \)
в. \( \frac{x}{x^{2}-1} \)
c. \( \frac{x^{2}+1}{x} \)
D. \( \frac{x^{2}-1}{x} \)
Subject: Chemistry
Solubility product of a sulphide \( M S \) is
\( 3 \times 10^{-25} \) and that of another sulphide
\( N S \) is \( 4 \times 10^{-40} . \) In ammoniacal
solution:
A. only NS gets precipitated
B. only MS gets precipitated
c. no sulphide precipitates
D. both sulphides precipitate
Subject: Maths
Let \( n \) be a positive integer. If the
coefficients of \( 2^{n d}, 3^{r d} \) and \( 4^{t h} \) terms in
the expansion of \( (1+x)^{n} \) are in A.P.
then the value of \( n \) is:
\( \mathbf{A} \cdot \mathbf{8} \)
B. 27
c. 12
D.
Subject: Biology
Study the graph which shows results of
three different experiments \( P, Q \) and \( R \)
What does this experiment tell you
about the factors limiting the rate of
photosynthesis in the regions \( A-B \) and
B-C of curve R?
A. A-B was light intensity and B- C was some other factor (cannot find from available data)
B. A-B was temperature and B- C was light intensity
C. A-B was some other factor (cannot find from available data) and B- C was light intensity
D. None of the above
Subject: Maths
Find the value of
\( \frac{\boldsymbol{i}^{592}+\boldsymbol{i}^{590}+\boldsymbol{i}^{588}+\boldsymbol{i}^{586}+\boldsymbol{i}^{584}}{\boldsymbol{i}^{582}+\boldsymbol{i}^{580}+\boldsymbol{i}^{578}+\boldsymbol{i}^{576}+\boldsymbol{i}^{574}}-\mathbf{1} \)
Subject: Physics
If the source is now changed to green light of wavelength \( 10^{-7} m \) and a new glass plate is placed in place of the previous glass plate, the central fringe shifts to a position initially occupied by the sixth bright fringe due to red light without the glass plate. What is refractive index of new glass plate?
A \( .2 .6 \mu m \)
в. \( 1.6 \mu m \)
c. \( 1.2 \mu m \)
D. \( 2.2 \mu m \)
Subject: Maths
If \( \boldsymbol{x}=\operatorname{cost} \) and \( \boldsymbol{y}=\sin 4 \boldsymbol{t} \) then \( (1- \)
\( \left.\boldsymbol{x}^{2}\right) \boldsymbol{y}_{2}-\boldsymbol{x} \boldsymbol{y}_{1}= \)
A . \( 4 y \)
в. \( -4 y \)
c. \( 16 y \)
D. \( -16 y \)
Subject: Physics
In resonance column experiment, the velocity of sound is given by \( v= \) \( 2 n\left(l_{2}-l_{1}\right) . \) Where \( n \) is frequency \( =325 \)
Hz measured accurately. \( l_{1}, l_{2} \) are
resonating length and are measured as \( l_{1}=25.0 c m, l_{2}=75.0 c m \) then speed of
sound is
A. \( 350 m / s \)
в. \( 327 m / s \)
c. \( 325 m / s \)
D. \( 400 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A spherical cavity made in a informaly
changed non-conducting sphere and a
positive charge in released from
position \( P \) as shown in fig. Then path
followed by particle is
A . A straight line along radically upward of cavity
B. A straight line along radially outward of cavity
c. A straight line along positive \( X \) - direction.
D. A straight line along radially outward of sphere
Subject: Physics
In an unbiased \( p-n \) junction
A. Potential at \( p \) is more than that at \( n \)
B. Potential at \( p \) is less than that at \( n \)
C. Potential at \( p \) is equal to that at \( n \)
D. Potential at \( p \) is +ve and that at \( n \) is -ve
Subject: Chemistry
At \( 20^{\circ} \mathrm{C} \) and a pressure of 1 atm each gas, 1 litre of water dissolves 0.043 g of pure \( O_{2} \) or 0.019 g of pure \( N_{2} . \) Assuming that dry air is composed of \( 20 \% \mathrm{O}_{2} \) and
\( 80 \% N_{2} \) (by volume) determine the
masses of \( \boldsymbol{O}_{2} \) and \( \boldsymbol{N}_{2} \) dissolved by 1 litre
of water at \( 20^{\circ} \mathrm{C} \) exposed to air at a
total pressure of 1 atm. Assume \( V . P . \) of
\( H_{2} \) at \( 20^{\circ} C \) be 'b' atm
A \( \cdot O_{2}=4.3 \times 10^{-3} g / L, N H 2=0.75 \times 10^{-2} g / L \)
B. \( O_{2}=5.25 \times 10^{-4} g / L, N H 2=1.7 \times 10^{-3} g / L \)
C \( \cdot O_{2}=8.6 \times 10^{-3} g / L, N H 2=1.5 \times 10^{-2} g / L \)
D. \( O_{2}=10.5 \times 10^{-4} g / L, N H 2=3.4 \times 10^{-3} g / L \)
Subject: Physics
Rakesh lifts a heavy book from the floor
of the room and puts it in the book shelf
of height \( 2 m . \) In this process, he takes 5 seconds. On which of the following does the work done by him depend?
A. Mass of the book and the time taken to do work
B. Weight of the book and the height of the book shelf
c. Height of the book shelf and the time taken to do work
D. Mass of the book, height of the book shelf and the time taken to do work
Subject: Chemistry
What is the composition of last droplet of liquid remaining in equilibrium with
vapour?
A \( . x_{A}=0.6 ; x_{B}=0.4 \)
B . \( x_{A}=0.5 ; x_{B}=0.5 \)
c. \( x_{A}=0.7 ; x_{B}=0.3 \)
D. \( x_{A}=0.3 ; x_{B}=0.7 \)
Subject: Chemistry
Assertion
Sulphar present in an organic
compound can be estimated quantitatively by Carius Method.
Reason
Sulphar is separated easily from other
atoms in the molecules and gets
precipitated as light yellow solid.
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
Choose the correct order of bond
strength:
\( \mathbf{A} \cdot C H_{3} F>C R_{3} C l>C R_{3} B r>C H_{3} I \)
B \( \cdot C H_{3} F<C R_{3} C l<C R_{3} B r<C H_{3} I \)
\( \mathbf{c} \cdot C H_{3} F>C R_{3} C l>C R_{3} B r<C H_{3} I \)
D. \( C H_{3} F>C R_{3} C l<C R_{3} B r<C H_{3} I \)
Subject: Chemistry
In the reaction,
\( \boldsymbol{2} \boldsymbol{A l}(\boldsymbol{s})+\boldsymbol{6} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{l}^{3+}(\boldsymbol{a} \boldsymbol{q} \cdot)+ \)
\( \mathbf{6} C l^{-}\left(a q_{\cdot}\right)+3 H_{2}(g) \)
\( \mathbf{A} \cdot 11.2 H_{2}(g) \) at \( \mathrm{STP} \) is produced for every mole of \( H C l(a g .) \) consumed
B. 6 LHCl \( (\text { ag. }) \) is consumed for every 3 L \( H_{2}(E \) ) produced
C \( .33 .6 L H_{2}(g) \) is produced regardless of temperature and pressure for every mole of \( \mathrm{Al} \) that reacts
D. \( 67.2 L H_{2}(g) \) at SIT is produced for every mac of Al that reacts
Subject: Chemistry
Which of the following does not
illustrate the anomalous properties of
Li?
A. The m.p. and b.p. of \( L i \) are comparatively high
B. \( L i \) is much softer than the other I group metals
C . \( L i \) forms a nitride \( L i_{3} N \) unlike group I metals
D. The ion of \( L i \) and its compounds are more heavily hydrated than those of the rest of the group
Subject: Biology
Vascularisation in plants occur
through
A. Differentiation of procambium followed by primary phloem and then primary xylem
B. Differentiation of procambium followed by development of xylem and phloem.
C. Simultaneous differentiation of procambium, xylem and phloem
D. Differentiation of procambium is immediately followed by development of secondary xylem and secondary phloem.
Subject: Physics
At the height \( 80 m, \) an aeroplane is moving with \( 150 m / s . \) A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped? \( (\text { Given } g= \)
\( \left.10 m / s^{2}\right) \)
A. \( 605.3 \mathrm{m} \)
B. \( 600 m \)
\( c .80 m \)
D. 230 \( m \)
Subject: Physics
An ideal heat engine working between
temperatures \( T_{1} \) and \( T_{2} \) has an
efficiency \( \eta \). The new efficiency if the temperatures of both the source and sink are doubled, will be
\( A \cdot \frac{\eta}{2} \)
B. \( \eta \)
c. \( 2 \eta \)
D. \( 3 \eta \)
Subject: Maths
The polynomial \( f(x)=x^{4}+a x^{3}+ \)
\( b x^{2}+c x+d \) has real coefficients and
\( (2 i)=f(2+i)=0 . \) The value of \( (a+ \)
\( b+c+d \) ) equals to
A .
B. 4
\( c .9 \)
D. 10
Subject: Maths
In a certain city two newspapers \( A \) and
\( B \) are published. It is known that \( 25 \% \) of
the city population reads \( A \) and \( 20 \% \) of
the population reads \( B .8 \% \) of the
population reads both \( A \) and \( B \). It is
known that \( 30 \% \) of those who read \( A \) but
not \( B \) look into advertisements and \( 40 \% \)
of those who read \( B \) but not \( A \) look
advertisements while \( 50 \% \) of those who
read both \( A \) and \( B \) look into
advertisements. What is the
percentage of the population who reads an advertisement?
A \( \cdot \frac{139}{500} \)
в. \( \frac{361}{500} \)
c. \( \frac{139}{1000} \)
D. \( \frac{861}{1000} \)
Subject: Maths
Find the values of \( x \) and \( y \) in the following figures
A \( . x=80^{0} ; y=120 \)
В . \( x=50^{0} ; y=30^{0} \)
C . \( x=50^{\circ} ; y=130^{\circ} \)
D . \( x=20^{0} ; y=10^{0} \)
Subject: Biology
In a transverse section of a dicot root
A. The protoxylem vessels are present towards the periphery and metaxylem vessels are present towards the centre.
B. The protoxylem vessels are present towards the centre and the metaxylem vessels are present towards the periphery.
C. Both protoxylem and metaxylem vessels are present towards the centre.
D. Both protoxylem and metaxylem vessels are present towards the periphery
Subject: Chemistry
Among the following species, the \( \boldsymbol{H}- \) \( \boldsymbol{X}-\boldsymbol{H} \) angle \( (\boldsymbol{X}=\boldsymbol{B}, \boldsymbol{N} \text { or } \boldsymbol{P}) \) follows
the order:
A \( \cdot P H_{3}<N H_{3}<N H_{4}^{+}<B F_{3} \)
B. \( N H_{3}<P H_{3}<N H_{4}^{+}<B F_{3} \)
C. \( B F_{3}<P H_{3}<N H_{4}^{+}<B F_{3} \)
D. \( B F_{3}<N H_{4}^{+}<N H_{4}^{+}<B F_{3} \)
Subject: Maths
The value of the sum \( 1.2 .3+2.3 .4+ \)
\( \mathbf{3} . \mathbf{4 . 5}+\ldots \ldots . \) upto \( n \) terms \( = \)
A \( \cdot \frac{1}{6} n^{2}\left(2 n^{2}+1\right) \)
B - \( \frac{1}{6} n^{2}\left(n^{2}-1\right)(2 n-1)(2 n+3) \)
C \( \cdot \frac{1}{8}\left(n^{2}+1\right)\left(n^{2}+5\right) \)
D・去 \( (n)(n+1)(n+2)(n+3) \)
Subject: Maths
The radii of two circles are in the ratio
\( 3: 8 . \) If the difference between their
areas is \( 2695 \pi \mathrm{cm}^{2}, \) find the area of the
smaller circle.
A \( \cdot 1386 \mathrm{cm}^{2} \)
B. \( 1280 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 1187 \mathrm{cm}^{2} \)
D. \( 1546 \mathrm{cm}^{2} \)
Subject: Maths
In Fig. 3 , if 0 is the centre of the circle
\( \mathrm{OL}=4 \mathrm{cm}, \mathrm{AB}=6 \mathrm{cm} \) and \( \mathrm{OM}=3 \)
\( \mathrm{cm}, \) then \( \mathrm{CD}=? \)
\( A \cdot 4 c m \)
в. \( 8 \mathrm{cm} \)
\( c . \) 6cm
D. 10cm
Subject: Physics
Two springs have their force constants
\( K_{1} \) and \( K_{2} . \) Both are stretched till their
elastic energies are equal. If the
stretching forces are \( F_{1} \) and \( F_{2} \) then
\( F_{1}: F_{2} \) is equal to
A \( \cdot K_{1}: K_{2} \)
в. \( K_{2}: K_{1} \)
c. \( \sqrt{K_{1}}: \sqrt{K_{2}} \)
D. \( K_{1}^{2}=K_{2}^{2} \)
Subject: Maths
If \( x^{4}+7 x^{2} y^{2}+9 y^{4}=24 x y^{3}, \) then
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
A \( \cdot \frac{x}{y} \)
B. \( \underline{y} \)
c. \( -\frac{x}{y} \)
D. \( -\frac{y}{x} \)
Subject: Physics
Which of the following explains heat transfer by convection?
A. When a substance is heated, molecules absorb heat energy and vibrate. When neighbouring molecules collide, energy is transmitted through the material.
B. When a substance is heated, molecules absorb heat energy and substance expands. Due to this, density of heated molecules decreases and so they rise upwards taking the heat energy along with them
C. Heat radiation is transmitted with the help of waves.
D. None of the above
Subject: Physics
How many \( ^{137} \) Cs need to be present in
each \( k g \) of body tissue if an equivalent does for one week is 3.55 Sv?
A \( \cdot 1.25 \times 10^{-9} \)
B . \( 1.25 \times 10^{11} \)
C. \( 1.25 \times 10^{13} \)
D. none
Subject: Maths
\( \operatorname{lf} \Delta=\left|\begin{array}{lll}a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3}\end{array}\right| \) and \( A_{2}, B_{2}, C_{2} \) are
respectively cofactors of \( a_{2}, b_{2}, c_{2} \) then
\( a_{1} A_{2}+b_{1} B_{2}+c_{1} C_{2} \) is equal to
\( A \cdot-\Delta \)
B.
\( c \cdot \Delta \)
D. none of these
Subject: Maths
\( \left[\begin{array}{ll}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right]\left[\begin{array}{ll}1 & \tan \theta \\ -\tan \theta & 1\end{array}\right] \)
\( =\left[\begin{array}{ll}a & -b \\ -b & a\end{array}\right] \) then
\( A \cdot a=1 \)
B \( \cdot a=\sec ^{2} \theta, b=0 \)
c. \( a=0, b=\sin ^{2} \theta \)
\( \mathbf{D} \cdot \mathbf{a}=\sin 2 \theta, \mathbf{b}=\cos 2 \theta \)
Subject: Chemistry
What is the order of a reaction which
has a rate expression rate\( = \) \( \boldsymbol{k}[\boldsymbol{A}]^{\frac{3}{2}}[\boldsymbol{B}]^{-1} ? \)
A \( .3 / 2 \)
в. \( 1 / 2 \)
c. 0
D. None of the above
Subject: Physics
An object \( A \) of mass \( 1 k g \) is projected vertically upward with a speed of \( 20 m / s . \) At the same moment another object \( B \) of mass \( 3 k g, \) which is initially
above the object \( A \), is dropped from a
height \( h=20 m . \) The two point like
objects \( (A \text { and } B) \) collide and stick to
each other. The kinetic energy is \( \boldsymbol{K} \) (in \( \boldsymbol{J} \)
of the combined mass just after collision, find the value of \( \boldsymbol{K} / \mathbf{2 5} \)
Subject: Physics
Student \( A \) and student \( B \) sit in identical
office chairs facing each other, as shown in figure. Student A is heavier than student B. Student A suddenly
pushes with his feet. Which of the
following statements is correct?
A. Both A and B will move in same direction
B. B will move to right while A will not move
c. A will move to right while B will move to let
D. A and B will move in opposite directions
Subject: Physics
What will be the magnitude of e.m.f.
induced in a 200 turns coil with cross
section area \( 0.16 m^{2} ? \) The magnetic
field through the coil changes from \( 0.10 W b m^{-2} \) to \( 0.30 W b m^{-2}, \) at a
uniform rate over a period of 0.05 s
\( \mathbf{A} \cdot 128 V \)
B. \( 130 V \)
c. \( 118 V \)
D. \( 132 V \)
Subject: Maths
Let \( N \) denote the set of all natural
numbers and R a relation on \( N \times N \)
Which of the following is an equivalence
relation?
\( \mathbf{A} \cdot(a, b) R(c, d) \) if \( a d(b+c)=b c(a+d) \)
B. \( (a, b) R(c, d) \) if \( a+d=b+c \)
\( \mathbf{c} \cdot(a, b) R(c, d) \) if \( a d=b c \)
D. all the given
Subject: Chemistry
Calculate the equilibrium constant for
the reaction:
\( \mathbf{3} \boldsymbol{S} \boldsymbol{n}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-}+\boldsymbol{2} \boldsymbol{8} \boldsymbol{H}^{+} \rightarrow \)
\( \mathbf{3} \boldsymbol{S} \boldsymbol{n}^{+\mathbf{4}}+\mathbf{4} \boldsymbol{C} \boldsymbol{r}^{\mathbf{3}+}+\mathbf{1 4} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O} \)
\( E^{\circ} \) for \( S n / S n^{2+}=0.136 V E^{\circ} \) for
\( \boldsymbol{S} \boldsymbol{n}^{2+} / \boldsymbol{S} \boldsymbol{n}^{4}=-\mathbf{0 . 1 5 4} \boldsymbol{V} \)
\( E^{\circ} \) for \( C r_{2} O_{7}^{2-} / C r^{3+}=1.33 V \), if the
ans is \( K=10^{c}, \) what is c?
A . 261
в. 273
\( c \cdot 128 \)
D. none of these
Subject: Maths
Choose the correct answer from the
alternatives given :
Directions for questions 71 to 75: Study
the following graph carefully to answer
these questions. Production (in lakh tonnes) of six units
of a company in 2006 and 2007

What is the average production of all
units (in lakh tonnes) for the year \( 2007 ? \)
ロ 2006
A . 95
B. 92
\( c .87 \)
D. 93
Subject: Physics
A rocket is moving in a gravity free space with a constant acceleration of
\( 2 m s^{-2}, \) along \( +x \) direction (see figure) The length of a chamber inside the
rocket is \( 4 \mathrm{m} \). A ball is thrown from the
left end of the chamber in \( +x \) direction with a speed of \( 0.3 m s^{-1} \) relative to the rocket. At the same time, another ball
is thrown in - \( x \) direction with a speed of
\( 0.2 m s^{-1} \) from its right end relative to the rocket. The time in seconds when
the two balls hit each other is
\( A \)
\( B .3 \)
\( c \)
\( D \)
Subject: Physics
Figure shows a square loop of resistance \( 1 \Omega \) of side \( 1 m \) being moved towards right at a constant speed of 1 \( \boldsymbol{m} / \boldsymbol{s} \). The front edge enters the \( \boldsymbol{3} \boldsymbol{m} \)
wide magnetic field \( (B=1 T) \) at \( t=0 \)
Draw the graph of current induced in
the loop as time passes. (Take anticlockwise direction of current as
positive)
\[
x
\]
Subject: Physics
A particle is moving in a straight line with constant acceleration. If \( x, y \) and \( z \) be the distances described by a particle during the pth, qth and rth second
respectively, prove that \( (\boldsymbol{q}-\boldsymbol{r}) \boldsymbol{x}+ \)
\( (r-p) y+(p-q) z=0 \)
Subject: Chemistry
An element (X) forms compounds of the
formula \( \boldsymbol{X} \boldsymbol{C l}_{3}, \boldsymbol{X}_{2} \boldsymbol{O}_{5} \) and \( \boldsymbol{C} \boldsymbol{a}_{3} \boldsymbol{X}_{2}, \) but
does not form \( X C l_{5} . \) Which of the following is the element?
\( A \cdot B \)
B. Al
c.
D.
Subject: Chemistry
Which combination cannot be used for
the preparation of hydrogen gas in the laboratory?
I. \( Z n / \) conc. \( H_{2} S O_{4} \)
II. \( Z n / d i l . H N O_{3} \)
III. \( Z n / d i l . H_{2} S O_{4} \)
Zinc in I and II is not very pure while in
III, it is very pure.
A. I and II
B. I, II and III
c. ॥ा only
D. I and III
Subject: Physics
topp
0
Fill in the blanks in the following passage(s) from the words given above.
The magnetic field produced around a straight current carrying conductor is in the form of with the
lying on the straight conductor. Take a copper wire AB. Pass it through a cardboard. Connect the wire to a battery through a key. Sprinkle some iron filings on the cardboard. Switch on the key and tap the cardboaro gently. You will find that the iron filings arrange themselves in the form of concentric circles. Reverse the direction
of current by changing the of the battery. You will find that this time too, the iron filings arrange themselves in concentric circle but in
direction. Hence, the magnetic field lines of force around a carrying electric current are concentric circles with the
conductor at the centre. The direction of
magnetic field changes if the direction of current is
Subject: Physics
A block of mass \( 5 k g \) is (i) pushed in
case \( (A) \) and (ii) pulled in case \( (B), \) by
force \( \boldsymbol{F}=\mathbf{2 0} \boldsymbol{N}, \) making an angle of \( \boldsymbol{3 0}^{\boldsymbol{o}} \)
with the horizontal, as shown in the
figures. The coefficient of friction
between the block and floor is \( \mu=0.2 \)
The difference between the
accelerations of the block, in case (B)
and case (A) will be:
\( \left(g=10 m s^{-2}\right) \)
\( (\mathrm{B}) \)
\( \mathbf{A} \cdot 0 m s^{-2} \)
B. \( 0.8 m s^{-2} \)
c. \( 0.4 m s^{-2} \)
D. \( 3.2 \mathrm{ms}^{-2} \)
Subject: Maths
If \( \vec{a}=\hat{i}+2 \hat{j}-3 \hat{k}, \vec{b}=2 \hat{i}+\hat{j}-\hat{k} \) and
\( \vec{u} \) is a vector satisfying \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{u}}=\overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}} \)
and \( \vec{a} \cdot \vec{u}=0, \) then \( 2|\vec{u}|^{2} \) is equal to
A. 5
B. 4
\( c \cdot 8 \)
D. None of these
Subject: Physics
An ac voltmeter reads \( 220 \mathrm{V} \). If the line
frequency is \( 50 H z, \) then the equation
for the line voltage is
A. \( V=220 \sin 50 t \)
B. \( V=220 \sin 100 t \)
c. \( V=311 \sin 50 \pi t \)
D. \( V=311 \sin 100 \pi t \)
Subject: Physics
The sum of magnitudes of two forces
acting at a point is \( 16 N . \) If the
resultant force is \( 8 N \) and its direction
is perpendicular to smaller force, then the forces are:
A 6 Nand \( 10 N \) n
B. \( 8 N \) and \( 8 / N \)
c. \( 4 N \) and \( 12 N \)
D. \( 2 N \) and \( 14 N \)
Subject: Physics
A gas in a \( 1 \mathrm{m}^{3} \) container has a
molecular diameter of \( 0.1 \mathrm{m} . \) There are 10 molecules. What is its mean free
path?
A . \( 2.25 \mathrm{m} \)
B. 2m
\( c .3 m \)
\( D \cdot 1 m \)