AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
On adding \( A g N O_{3} \) solution into \( K I \)
solution, a negatively charged colloidal solution is obtained when they are in:
A \( \cdot 100 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{AgNO}_{3}+100 \mathrm{mL} \) of \( 0.1 \mathrm{M} \mathrm{K} \)
B. 100 \( \mathrm{mL} \) of \( 0.1 \mathrm{M} \) AgNO \( _{3}+100 \mathrm{mL} \) of \( 0.2 \mathrm{M} \) KI
C. \( 100 \mathrm{mL} \) of \( 0.2 \mathrm{M} \) AgNO \( _{3}+100 \mathrm{mL} \) of \( 0.1 \mathrm{M} \) k
D. \( 100 \mathrm{mL} \) of \( 0.15 \mathrm{M} \mathrm{AgNO}_{3}+100 \mathrm{mL} \) of \( 0.15 \mathrm{M} \mathrm{K} \)
Subject: Maths
The following lines are \( \hat{\boldsymbol{r}}=(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}})+ \)
\( \lambda(\hat{i}+2 \hat{j}-\hat{k})+\mu(-\hat{i}+\hat{j}-2 \hat{k}) \)
A. collinear
B. skew-lines
c. co-planar lines
D. parallel lines
Subject: Maths
The value of the function
\( \lim _{x \rightarrow 0} \frac{8}{x^{8}}\left(1-\cos \frac{x^{2}}{2}-\cos \frac{x^{2}}{4}+\cos \frac{x^{2}}{2}\right. \)
is
A \( \cdot \frac{1}{16} \)
B. \( \frac{1}{15} \)
c. \( \frac{1}{32} \)
\( D \)
Subject: Chemistry
Finely divided iron combines with \( \mathrm{CO} \) to give :
\( \mathbf{A} \cdot F e(C O)_{5} \)
в. \( F e_{2}(C O)_{9} \)
\( \mathbf{c} \cdot F e_{3}(C O)_{12} \)
D. \( F e(C O)_{6} \)
Subject: Physics
As shown in above figure, a uniform
magnetic field B, direction of magnetic
field is outward of the plane of the page.
Calculate the potential difference
between point a and b if metal rod is
pulled upward with constant velocity.
A .
B. \( \frac{1}{2} v B L \), with point a at the higher potential
C \( \cdot \frac{1}{2} v B L, \) with point \( b \) at the higher potential
D. vBL, with point a at the higher potential
E. vBL, with point b at the higher potential
Subject: Physics
The fringe width of interference fringes for red colour is \( \beta . \) The fringe width for violet colour will be nearly:
\( \left(\lambda_{R e d}=620-740 n m, \lambda_{V i o l e t}=380-\right. \)
\( 450 n m) \)
\( A \cdot \beta \)
в. \( 2 \beta \)
\( c \cdot \frac{\beta}{4} \)
D. \( \frac{\beta}{2} \)
Subject: Physics
The number of beats produces per second by two tuning forks when sounded together is \( 4 . \) One of them has frequency of \( 250 H z . \) The frequency of
the other cannot be less than
A \( .254 \mathrm{Hz} \)
B. 252 H
\( \mathrm{c} .248 \mathrm{Hz} \)
D. 246 \( H z \)
Subject: Maths
If \( z_{1}=\frac{1}{a+i}, a \neq 0 \) and \( z_{2}= \)
\( \frac{1}{1+b i}, b \neq 0 \) are such that \( z_{1}=\bar{z}_{2} \)
then
В. \( a=1, b=-1 \)
c. \( a=2, b=1 \)
D. \( a=1, b=2 \)
2
Subject: Chemistry
Which one of the following solutions will have the highest pH value?
A. \( 0.01 M \) NaOH
в. \( 0.02 M \) СН\( _{3} \) СОО Na .
c. \( 0.01 M \) NaHCO\( _{3} \)
D. \( 0.01 M H_{2} S O_{4} \)
Subject: Physics
If the distance traveled by a body in the nth second is given by \( (4+6 n) m \) then find the initial velocity and acceleration
of the body.
A \( \cdot 6 \mathrm{m} \mathrm{s}^{-2}, 7 \mathrm{m} \mathrm{s}^{-1} \)
B. \( 6 \mathrm{m} \) s \( ^{-2} \), 3 \( \mathrm{m} \) s \( ^{-1} \)
C \( \cdot 16 \mathrm{m} \mathrm{s}^{-2}, 17 \mathrm{m} \mathrm{s}^{-1} \)
D. 26 m \( s^{-2} \), 7 \( \mathrm{m} s^{-1} \)
Subject: Chemistry
Which one of the following statement is
incorrect?
A \( \cdot \) Greater the formation constant \( \left(K_{f}\right) \) of a complex ion,
greater is its stability.
B. Greater the positive charge on the central metal ion, greater is the stability of the complex.
C. Greater is the basic character of the ligand, lesser is the stability of the complex.
D. Chelate complexes have high stability constants.
Subject: Physics
The average angular velocity of the
spinning motion of the Earth in rads\( ^{-1} \)
will be :
A \( \cdot \frac{\pi}{43,200} \)
в. \( \frac{2 \pi}{43,200} \)
c. \( \frac{\pi}{86,400} \)
D. \( \frac{4 \pi}{86,400} \)
Subject: Maths
The two straight lines \( a_{1} x+b_{2} y+ \)
\( c_{2}=0 \) and \( a_{2} x+b_{2} y+c_{2} z=0 \) will be
parallel to each other, if
A \( \cdot \frac{a_{1}}{b_{1}}=\frac{a_{2}}{b_{2}} \)
В \( \cdot \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \)
c. \( a_{1} b_{1}=a_{2} b_{2} \)
D. \( a_{1} a_{2}=b_{1} b_{2} \)
Subject: Maths
If the length of the common chord of two intersecting equal circles be \( 6 \mathrm{cm} \) and
if the radius of each circle be \( 5 \mathrm{cm} \) then
the distance between the centers of the
circle is
A. \( 7 \mathrm{cm} \)
B. \( 8 \mathrm{cm} \)
\( c .9 \mathrm{cm} \)
D. none
Subject: Chemistry
A sample of air is saturated with benzene (vapour pressure =100 mm Hg at \( 298 \mathrm{K} \) ) at \( 298 \mathrm{K}, 750 \mathrm{mm} \) Hg pressure. If it is isothermally compressed to one third of its initial volume, the final
pressure of the system is:
A. 2250 torr
B . 2150 torr
c. 2050 torr
D. 1950 torr
Subject: Physics
A series combination of two Carnots
engines operate between the
temperatures of \( 180^{0} C \) and \( 20^{0} C . \) If the
engines produce equal amount of work,then what is the intermediate
temperature(ln \( ^{0} C \) )?
\( A \cdot 80 \)
B. 90
\( c \cdot 100 \)
D. 110
Subject: Physics
A man standing on the road has to ho!d his umbrella at \( 30^{\circ} \) with the vertical to
keep the rain away. He throws the umbrella and starts running at 10 k \( m / h r . \) He find that rain drops are
hitting his head vertically, then the speed of the rain drops with respect to moving man.
A. \( 20 k m / h r \)
в. \( 10 \sqrt{3} k m / h r \)
c. \( \frac{10}{\sqrt{3}} k m / h r \)
D. \( 10 k m / h r \)
Subject: Physics
What is the required condition, if the light incident on one face of a prism, does not emerge from the other face?
A \( \cdot_{n}<\operatorname{cosec}\left(\frac{A}{2}\right) \)
в. \( n<\sec \left(\frac{A}{2}\right) \)
\( \mathbf{c} \cdot n>\sec A \)
D. \( n>\operatorname{cosec}\left(\frac{A}{2}\right) \)
Subject: Physics
Assertion: A current carrying wire
should be charged.
Reason: The current in a wire is due to
flow of free electrons in a definite
direction.
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 A
c. (A) is true but (R) is false
D. (A) is false but (R) is true
Subject: Chemistry
The compound having a tetrahedral geometry is :
\( A \cdot\left[N i\left(C N_{4}\right)\right]^{2-} \)
B. \( \left[P d\left(C N_{4}\right)\right]^{2} \)
\( c \cdot\left[\left.P d C\right|_{4}\right]^{2-} \)
D. [Nicl, ] \( ^{2} \)
Subject: Physics
A current of 3 A is flowing in a linear conductor having a length of \( 40 \mathrm{cm} . \) The conductor is placed in a magnetic field
of strength 500 gauss and makes an
angle \( 30^{\circ} \) with the direction of the field.
It experiences a force of magnitude
\( \mathbf{A} \cdot 3 \times 10^{-4} N \)
B. \( 3 \times 10^{-2} N \)
c. \( 3 \times 10^{2} N \)
D. \( 3 \times 10^{4} N \)
Subject: Maths
If \( A \) and \( B \) mutually exclusive events associated with a random experiment such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 4} \) and \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5} \)
then find \( \boldsymbol{P}(\overline{\boldsymbol{A}} \cap \boldsymbol{B}) \)
Subject: Maths
If \( x=\sec \theta-\cos \theta \) and \( y=\sec ^{3} \theta- \)
\( \sec ^{3} \theta-\cos ^{3} \theta, \) then the value of
\( \left(\frac{d y}{d x}\right)^{2} \) at \( x=0 \)
A . 0
B. 2
\( c \cdot 4 \)
D.
Subject: Physics
Q Type your question
spriere or radius K are to be balanced al
the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance
from the vertical edge of the table
without toppling as indicated in the
figure. If the mass of each block is \( \mathrm{M} \)
and of the sphere is \( M / 2, \) then the maximum distance \( x \) that can be
achieved is?
\( \mathbf{A} \cdot 8 L / 15 \)
в. \( 5 L / 6 \)
c. \( (3 L / 4+R) \)
\( D \)
Subject: Physics
A diverging lens of focal length \( f_{1} \) is placed in front of and coaxially with a
concave mirror of focal length \( f_{2} \). Their
separation is d. A parallel beam of light incident on the lens returns as a
parallel beam from the arrangement. Then
This question has multiple correct options
A. the beam diameters of the incident and reflected beams must be the same
в. \( d=2\left|f_{2}\right|-\left|f_{1}\right| \)
c \( \cdot d=\left|f_{2}\right|-\left|f_{1}\right| \)
D. if the entire arrangement is immersed in water, the conditions will remain unaltered
Subject: Chemistry
Rate constant for a reaction \( \boldsymbol{H}_{2}+\boldsymbol{I}_{2} \rightleftharpoons \)
\( 2 H I \) is \( 49, \) then rate constant for
reaction \( 2 H I \rightleftharpoons H_{2}+I_{2} \) is :
\( A \cdot 7 \)
B. 1/49
\( c \cdot 49 \)
D. 21
Subject: Physics
The \( P . E . \) and \( K . E . \) of a helicopter flying horizontally at a height \( 400 m \) are in the
ratio \( 5: 2 . \) The velocity of helicopter is:
A. \( 56 \mathrm{m} / \mathrm{s} \)
в. \( 28 \mathrm{m} / \mathrm{s} \)
c. \( 14 \mathrm{m} / \mathrm{s} \)
D. \( 42 \mathrm{m} / \mathrm{s} \)
Subject: Physics
Suppose a pure \( \boldsymbol{S} \boldsymbol{i} \) crystal has \( \boldsymbol{5} \times \)
\( 10^{28} \) atoms \( m^{-3} . \) It is doped by 1 ppm
concentration of pentavalent \( \boldsymbol{A} \boldsymbol{s} \)

Calculate the number of electrons and
holes. Given that \( n_{i}=1.5 \times 10^{16} m^{-3} \)
Subject: Maths
The vertices of triangle \( A B C \) are \( \boldsymbol{A}(\mathbf{1},-\mathbf{2}), \boldsymbol{B}(-\mathbf{7}, \mathbf{6}) \) and \( \boldsymbol{C}(\mathbf{1 1} / \mathbf{5}, \mathbf{2} / \mathbf{5}) \)
Subject: Physics
A satellite moves around the earth in a
circular orbit with speed \( V \). If \( m \) is
mass of the satellite then its total
energy is
A \( \cdot \frac{1}{2} m V^{2} \)
в. \( m V^{2} \)
c. \( -\frac{1}{2} m V^{2} \)
D. \( \frac{3}{2} m V^{2} \)
Subject: Maths
The contrapositive statement of
statement "If \( x \) is prime number, then \( x \)
is odd" is
A. If \( x \) is not is prime number, then \( x \) is not odd
B. If \( x \) is not odd, then \( x \) is not a prime number
c. If \( x \) is a prime number, then \( x \) is not odd
D. If \( x \) is not a prime number, then \( x \) is odd
Subject: Physics
If a ball is thrown up with a certain velocity. It attains a height of \( 40 \mathrm{m} \) and comes back to the thrower, then
A. Total distance covered by it is \( 40 \mathrm{m} \)
B. Total displacement covered by it is \( 80 \mathrm{m} \)
c. Total displacement is zero
D. Total distance covered by it is zero
Subject: Physics
A resistor and a capacitor are connected to an ac supply of \( 200 V, 50 H z \) in series. The current in the circuit is \( 2 A \). If the power consumed in the circuit is \( 100 W \) then
the resistance in the circuit is
\( \mathbf{A} \cdot 100 \Omega \)
в. 25 \( \Omega \)
c. \( \sqrt{125 \times 75} \Omega \)
D. \( 400 \Omega \)
Subject: Physics
A circular loop of rope angular velocity
\( \omega \) about an axis through its center on a horizontal smooth platform. Velocity of pulse (with re: ill 4 w rope) produced due to slight radial displacement given by:
\( A \cdot \omega L \)
в. \( \frac{\omega L}{2 \pi} \)
c. \( \frac{\omega L}{\pi} \)
D. \( \frac{\omega L}{4 \pi^{2}} \)
Subject: Maths
Suppose \( \boldsymbol{f}(\boldsymbol{n})= \)
\( \log _{2}(3) \cdot \log _{3}(4) \cdot \log _{4}(5) \dots \dots \log _{n-1}(n) \)
then the sum \( \sum_{k=2}^{100} f\left(2^{k}\right)=\lambda \)
then \( \frac{\lambda}{1683} \) is equal to?
Subject: Chemistry
In which of the following autfnau principle is violated?
\( A \)
\( \frac{\uparrow}{2 s} \) \begin{tabular}{c|c|c}
\hline\( \uparrow \downarrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline \( \mathbf{2 p} \) & & \\
\hline
\end{tabular}
B. \( \frac{\sqrt{1} \downarrow}{2 s} \)
\( c \)
\( \uparrow \downarrow \) \begin{tabular}{c|c|c|}
\hline\( \uparrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline \( 2 p \) & & \\
\hline
\end{tabular} \( 2 \mathrm{s} \)
\( D \)
\( \frac{\sqrt{1} \mid}{2 s} \) \begin{tabular}{c|c|c|c|c|}
\hline\( \uparrow \downarrow \) & \( \uparrow \) & \( \uparrow \) \\
\hline \( 2 p \) & & & \\
\hline
\end{tabular}
Subject: Chemistry
The equilibrium constant \( K_{p}(\text { in atm }) \)
for the reaction is 9 at 7 at \( m \) and \( 300 K \)
\( \boldsymbol{A}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{B}_{2}(\boldsymbol{g})+\boldsymbol{C}_{2}(\boldsymbol{g}) \)
Calculate the average molar mass (in \( \mathrm{gm} / \mathrm{mol} \) ) of an equilibrium mixture:
Given Molar of \( A_{2}, B_{2} \) and \( C_{2} \) are 70,49
\& 21 gm/ mol respectively.
A . 50
B. 45
c. 40
D. 37.5
Subject: Maths
The angle of intersection between the
curves \( \boldsymbol{x}^{2}=\mathbf{4}(\boldsymbol{y}+\mathbf{1}) \) and \( \boldsymbol{x}^{2}=-\mathbf{4}(\boldsymbol{y}+ \)
1) is.
A \( \cdot \frac{\pi}{6} \)
B. \( \frac{\pi}{4} \)
c. 0
D.
Subject: Maths
There are four different white balls and
four different black balls. The number of
ways that balls can be arranged in a row so that white and black balls are placed alternately is
\( A \cdot(4 !)^{2} \)
B. \( 2(8 !)^{2} \)
\( c \cdot 4 \)
\( D \cdot(4 !)^{3} \)
Subject: Chemistry
Explain the term lattice energy as applied to an ionic solid. Calculate the lattic energy of caesium chloride using the following data:
\[
\operatorname{Cs}(s) \rightarrow \operatorname{Cs}(g) \quad \Delta H=+79.9 \mathrm{kJ} \mathrm{mol}^{-1}
\]
\[
\begin{array}{ll}
\mathrm{Cs}(\mathrm{g}) \rightarrow \mathrm{Cs}^{-}(8) & \Delta H=+37+.05 \mathrm{kJ} \mathrm{mol}^{-1} \\
\mathrm{Cl}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{C} \mid(\mathrm{g}) & \Delta H=+241.84 \mathrm{kJ} \mathrm{mol}^{-1}
\end{array}
\]
\[
\mathrm{Cl}(\mathrm{g})+\mathrm{e} \rightarrow \mathrm{Cl}^{-}(\mathrm{g}) \quad \Delta H=-397.90 \mathrm{kJ} \mathrm{mol}^{-1}
\]
\[
\mathrm{Cs}(\mathrm{s})+\frac{1}{2} \mathrm{Cl}_{2} \rightarrow \mathrm{CsCl}(\mathrm{s}) \quad \Delta H=-623.00 \mathrm{kJ} \mathrm{mol}^{-1}
\]
Subject: Chemistry
Which of the following compounds will give acetic acid with \( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} / \boldsymbol{H} \oplus / \boldsymbol{\Delta} ? \)
A \( \cdot C H_{3}-C H O \)
в. \( C H_{3}-C H=C H-C H_{3} \)
c. \( C H_{3}-C=C-C H_{3} \)
D. \( C H_{2} C H_{2} O H \)
Subject: Physics
Assertion
The \( V \rightarrow t \) graph perpendicular to time
axis is not possible in practice.
Reason
Infinite acceleration can not be realized
in practice.
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
\( X^{2} \) test is equal to
A \( \cdot \sum_{i=1}^{n} A x^{1}=A x^{1}+A x^{2}+\ldots+A x^{n} \)
B . \( V=(r-1)(e-1) \)
\( \frac{\Sigma(O-E)^{2}}{E} \)
D \( r=\frac{\Sigma_{x y}}{\sqrt{\Sigma x^{2} y^{2}}} \)
Subject: Chemistry
The pressure \( P \) of an ideal diatomic gas
varies with its absolute temperature \( \boldsymbol{T} \)
as shown in figure. The molar heat
capacity of gas during this process is \( R \text { is gas constant }] \)
A \( .1 .7 R \)
B. \( 3.25 R \)
c. 2.5
D. \( 4.2 . R \)
Subject: Maths
Two concentric circles are of radii \( 5 \mathrm{cm} \)
and \( 3 \mathrm{cm} . \) Find the length of the chord of the larger circle which touches the
smaller circle.
\( A \cdot 8 \mathrm{cm} \)
в. \( 4 \mathrm{cm} \)
\( c .3 \mathrm{cm} \)
D. \( 5 \mathrm{cm} \)
Subject: Chemistry
When \( 16.8 g \) of white solid \( X \) was
heated \( 4.4 g \) of acid gas : \( (A) \) that
turned lime water milky was driven of
together with \( 1.8 g \) of a gas \( (B) \) which condensed to a colourless liquid the
solid that remained \( (Y) \) dissolved in
water to give an alkaline solution, which
with excess of \( B a C l_{2} \) solution gave a
white precipitate \( (Z) . \) The precipitate
effervescence with acid giving of \( \boldsymbol{C O}_{2} \)
gas. Identify the compound \( A, B \) and
write the chemical equations for the
thermal decomposition of \( X \)
\( \mathbf{A} \cdot(A)-C O_{2} \)
\( (B)-H_{2} O \quad X \rightarrow N a_{2} C O_{3} \)
B. \( (A)-C O_{2} \)
\( (B)-H_{2} O_{2} \quad X \rightarrow N a C O_{3} \)
\( \mathbf{c} \cdot(A)-C O_{2} \)
\( (B)-H_{2} O_{2} \quad X \rightarrow N a_{2} C O_{3} \)
D. \( (A)-C O_{2} \)
\( (B)-H_{2} O \quad X \rightarrow N a C O_{3} \)
Subject: Maths
If radius of circle is \( 5 \mathrm{cm} \) and distance
from centre to the point of intersection of 2 tangents in \( 13 \mathrm{cm} . \) Find length of
tangent.
A . \( 11 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
c. \( 12 \mathrm{cm} \)
D. \( 13 \mathrm{cm} \)
Subject: Physics
What is the refractive index of a prism
whose angle \( A=60^{\circ} \) and the angle of
minimum deviation \( \boldsymbol{d}_{m}=\mathbf{3 0}^{o} \) ?
A \( \cdot \sqrt{2} \)
B. \( \frac{1}{\sqrt{2}} \)
\( c \cdot 1 \)
D. \( \frac{1}{\sqrt{3}} \)
Subject: Maths
If \( A_{1} \) is the area bounded by \( y= \)
\( \cos x, y=\sin x \& x=0 \) and \( A_{2} \) the
area bounded by \( \boldsymbol{y}=\cos \boldsymbol{x}, \boldsymbol{y}= \)
\( \sin x, y=0 \) in \( \left(0, \frac{\pi}{2}\right) \) then \( \frac{A_{1}}{A_{2}} \) equals to:
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{\sqrt{2}} \)
c.
D. None of these
Subject: Maths
If the curve \( x+y=x^{2}(x+1) \) has two
distinct horizontal tangents, then the distance between them is
A \( \cdot \frac{32}{27} \)
в. \( \frac{27}{32} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{22}{27} \)
Subject: Maths
For two events \( A \) and \( B \), if \( P(A)= \) \( \boldsymbol{P}(\boldsymbol{A} \mid \boldsymbol{B})=\mathbf{1} / \mathbf{4} \) and \( \boldsymbol{P}(\boldsymbol{B} \mid \boldsymbol{A})=\mathbf{1} / 2, \) then
This question has multiple correct options
A. A and B are independent
B. A and B are mutually exclusive
c. \( P\left(A^{\prime} \mid B\right)=3 / 4 \)
D. \( P\left(B^{\prime} \mid A^{\prime}\right)=1 / 2 \)
Subject: Physics
A block is released from rest at the top
of a frictionless inclined plane \( 16 \mathrm{m} \) long. It reaches the bottom 4 sec later. \( A \)
second block is projected up the plane from the bottom at the instant the block
is released in such a way that it returns
to the bottom simultaneously with first block. The acceleration of each block on
the incline is
A \( \cdot 1 m / s^{2} \)
в. \( 2 m / s^{2} \)
\( \mathbf{c} \cdot 4 m / s^{2} \)
D. \( 9.8 m / s^{2} \)
Subject: Chemistry
Assertion
Mixture is agitated in a washing machine. Agitation is necessary to get clean clothes.
Reason
To wash away the loosened dirt particle in form of micelles from the surface of
cloth, agitation is necessary.
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
A car of mass \( 1000 \mathrm{kg} \) moving with a
speed \( 18 k m h^{-1} \) on a smooth road and
colliding with a horizontally mounted
spring of spring constnat \( 6.25 \times \)
\( 10^{3} N m^{-1} . \) The maximum compression
of the spring is
A . \( 1 m \)
B. \( 2 m \)
\( c .3 m \)
D. \( 4 m \)
Subject: Physics
The Figure shows a parallel \( L-C-R \)
circuit connected to a variable
frequency 200V source. L \( =5 \mathrm{H}, \mathrm{C}=80 \mu \mathrm{F} \)
and \( R=40 \Omega \). What is the ems
current in the circuit at resonance?
\( A \cdot 5 A \)
B. 10 A
c. \( \frac{5}{\sqrt{2}} \)
D. \( 5 \sqrt{2} A \)
Subject: Chemistry
Alanine forms Zwitter ion which exists
as
\( A \)
\( C H_{3} C^{\text {ему }} H C O O^{-} \) in acidic medium
в. \( C H_{3} C^{\text {емуз }} H C O O H \) in a medium of \( p H=4 \)
c. \( C H_{3} C H C O O^{-} \)
Niz
in a medium of \( p H=1 \)
D. \( C H_{3} C H C O O^{-} \) in a medium of \( p H=2 \)
Subject: Physics
Assertion
Walking is more easier on the ground
than on sand.
Reason
In the former case reaction comes into
play more quickly.
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
The quantity of heat which can rise the
temperature of \( x \) gm of a substance
through \( t_{1}^{o} C \) can rise the temperature of
y gm of water through \( t_{2}^{o} C \) is same. The ratio of specific heats of the substances
is:
A \( \cdot y t_{1} / x t_{2} \)
B. \( x t_{2} / y t_{1} \)
c. \( y t_{2} / x t_{1} \)
D. \( x t_{1} / y t_{2} \)
Subject: Chemistry
For the cell reaction,
\( \boldsymbol{C u}_{(a q)}^{2+}\left(\boldsymbol{c}_{2}\right)+\boldsymbol{Z} \boldsymbol{n}_{(s)} \rightarrow \boldsymbol{Z} \boldsymbol{n}_{(a q)}^{2+}\left(\boldsymbol{c}_{1}\right)+ \)
\( \boldsymbol{C} \boldsymbol{u}_{(s)} \)
the change in free energy \( (\Delta G) \) at a
given temperature is a function of:
\( A \cdot \ln c_{1} \)
B . \( \ln \left(c_{2} / c_{1}\right) \)
\( c \cdot \ln \left(c_{1}+c_{2}\right) \)
D. \( \ln c \)
Subject: Physics
A particle is projected up along a rough
plane inclined at an angle of \( 45^{\circ} \) with the horizontal, if the coefficient of friction is \( \frac{1}{2}, \) then the retardation is:
A \( \cdot \frac{g}{\sqrt{2}} \)
в. \( \frac{g}{2} \)
c. \( \frac{g}{\sqrt{2}}\left(1+\frac{1}{2}\right) \)
D. \( \frac{g}{\sqrt{2}}\left(1-\frac{1}{2}\right) \)
Subject: Chemistry
Assertion
Conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) as a drying agent.
Reason
HCl prepared from NaCl is dried by passing through conc.sulphuric acid.
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
The masses of \( \alpha \) -particle, proton and neutron are 4.00150 amu, 1.00728 amu
and 1.00867 amu respectively. Binding Energy per nucleon of \( \alpha \) -particle is :
\begin{tabular}{l} 
A .2835 \\
\hline
\end{tabular}
в. 931.5 Ме \( V \)
c. \( 28.3 \mathrm{MeV} \)
D. \( 7.08 \mathrm{MeV} \)
Subject: Chemistry
The organic product of which reaction from the following is used as anaesthetic :
A \( \cdot C S_{2}+3 C l_{2} \frac{S n h . A C C_{3}}{\longrightarrow} \)
B . chloral \( +C a(O H)_{2} \longrightarrow \)
c. chorral + Cholorbenzene \( \rightarrow \)
D. \( C H C l_{3} \stackrel{H_{2} / N i}{\longrightarrow} \)
Subject: Chemistry
Calculate \( (\Delta S)_{\text {universe}}(\text {in cal/K }) \) when 1 kg water at \( 300 K \) is brought into
contact with a heat reservoir at \( 600 K \)
Specific heat of water is 1 cal \( / \) gm \( -^{\circ} \boldsymbol{C} \) ( \( \ln 2=0.7) \)
Subject: Maths
A unit vector \( a \) makes an angle \( \frac{\pi}{4} \) with z-axis.. If \( a+i+j \) is a unit vector, then
\( a \) is equal to
A \( \cdot \frac{i}{2}+\frac{j}{2}+\frac{k}{\sqrt{2}} \)
В \( \cdot \frac{i}{2}+\frac{j}{2}-\frac{k}{\sqrt{2}} \)
c. \( -\frac{i}{2}-\frac{j}{2}+\frac{k}{\sqrt{2}} \)
D. None of these
Subject: Maths
Find the mode for the following data:
Students \( \begin{array}{lll}\mathbf{1 0} & \mathbf{1 4} & \mathbf{2 0}\end{array} \) \( \mathbf{3 0} \)
Frequency \( \quad 2 \quad 2 \)
A . 10
B . 20
c. 60
D. 30
Subject: Physics
In an expt, a beam of electron passes
undeviated through mutually perpendicular elec. and mag fields of
respective strength \( \boldsymbol{E}=\mathbf{7 . 2} \times \)
\( 10^{6} N C^{-1} \) and \( B=2.4 \) T. The velocity of
the electron is
\( \mathbf{A} \cdot 17.3 \times 10^{7} m s^{-1} \)
B . \( 3 \times 10^{6} m s^{-1} \)
c. \( 2 \times 10^{6} m s^{-1} \)
D. \( 6 \times 10^{6} \mathrm{ms}^{-1} \)