AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The Biot Savart's Law in vector form is
\( ^{\mathrm{A}} \cdot_{\overline{\delta B}}=\frac{\mu_{0}}{4 \pi} \frac{d l(\vec{l} \times \vec{r})}{r^{3}} \)
B・ \( _{\overline{\delta B}}=\frac{\mu_{0}}{4 \pi} \frac{I(\bar{d} l \times \vec{r})}{r^{3}} \)
\( ^{\mathbf{C}} \cdot \frac{\mu_{0}}{\delta B}=\frac{I(\vec{r} \times \overrightarrow{d l})}{4 \pi} \frac{r^{3}}{ } \)
D \( \cdot \frac{ }{\delta B}=\frac{\mu_{0}}{4 \pi} \frac{I(\vec{d} l \times \vec{r})}{r^{2}} \)
Subject: Maths
If \( \vec{a}, \vec{b}, \vec{c} \) are three unit vector such that \( \overrightarrow{\boldsymbol{a}} \times \overrightarrow{\boldsymbol{b}}=\overrightarrow{\boldsymbol{c}}, \overrightarrow{\boldsymbol{b}} \times \overrightarrow{\boldsymbol{c}}=\overrightarrow{\boldsymbol{a}}, \overrightarrow{\boldsymbol{c}} \times \overrightarrow{\boldsymbol{a}}=\overrightarrow{\boldsymbol{b}} . \) Show
that \( \vec{a}, \vec{b}, \vec{c} \) from an orthogonal right handed tried of unit vectors.
Subject: Chemistry
Acetic acid undergoes dimerisation, when dissolved in benzene (as shown in
figure) Molecular mass of acetic acid is found
to be 120 .

Which among the following relation is correct?
(where, \( \alpha= \) degree of association,
\( d= \) observed vapour density, \( D= \) Theoretical vapour density
\[
2 \mathrm{CH}_{3}-\mathrm{cooH} \rightleftharpoons \mathrm{cH}_{3}-\mathrm{c} \underbrace{\mathscr{J}}_{\mathrm{oH} \ldots \mathrm{o}}^{\mathrm{o} \ldots \mathrm{OH}}_{\mathscr{J}}^{\mathrm{c}-\mathrm{cH}_{3}}
\]
\( A \)
\[
\alpha=2\left(\frac{D-d}{d}\right)
\]
в.
\[
\alpha=2\left(\frac{D-d}{D}\right)
\]
c.
\[
\alpha=2\left(\frac{d-D}{d}\right)
\]
D.
\[
\alpha=\frac{2 d}{D-d}
\]
Subject: Chemistry
For which of the following processes, total entropy of universe increases.
This question has multiple correct options
A. Melting one mole of ice to water at \( 0^{\circ} \mathrm{C} \)
B. Freezing one mole of water to ice at \( 0^{\circ} \mathrm{C} \)
C. Freezing one mole of water to ice at \( -10^{\circ} \mathrm{C} \)
D. Melting one mole of ice at \( 10^{\circ} \mathrm{C} \) into water
Subject: Maths
If
\( \lim _{n \rightarrow \infty} \frac{1^{a}+2^{a}+\ldots . .+n^{a}}{(n+1)^{a-1}[(n a+1)+(n a+2)+} \)
for some positive real number
\( \overline{\mathbf{6 0}} \)
a, then a is equal to
A \( \cdot \frac{15}{2} \)
B. 8
c. \( \frac{17}{2} \)
D.
Subject: Maths
If \( \boldsymbol{A}=\{\mathbf{2}, \mathbf{4}\{\mathbf{5}, \mathbf{6}\}, \mathbf{8}\}, \) then which one of
the following statements is not correct?
\( \mathbf{A} \cdot\{5,6\} \subseteq A \)
\( \mathbf{B} \cdot\{5,6\} \in A \)
c. \{2,4,8\}\( \subseteq A \)
D. \( 2,4,8 \in A \)
Subject: Chemistry
An electron in the hydrogen atom is
excited from the first orbit to the fifth
orbit. Find the change in energy of the electron in eV.
A \( .+(13.6 \times 24) / 25 \)
в. \( -(13.6 \times 4) / 5 \)
C . \( -(0.529 \times 4) / 5 \)
D. \( -(13.6 \times 4) / 9 \)
Subject: Physics
Calculate area enclosed by a circle of
diameter \( 1.06 ~ m \) to correct number of
significant figures.
A. \( 0.883 m^{2} \)
В. \( 0.0883 m^{2} \)
с. \( 0.88333 m^{2} \)
D. \( 0.8830 m^{2} \)
Subject: Physics
A man throws a ball vertically upward
and it rises through \( 20 \mathrm{cm} \) and returns to his hands. What was the initial
velocity \( (u) \) of the ball and for how much
time \( (T) \) it remained in the air? \( (g= \) \( \left.10 m / s^{2}\right) \)
A. \( u=10 \mathrm{m} / \mathrm{s}, T=2 s \)
B. \( u=10 \mathrm{m} / \mathrm{s}, T=4 s \)
c. \( u=20 \mathrm{m} / \mathrm{s}, T=2 s \)
D. \( u=20 \mathrm{m} / \mathrm{s}, T=4 s \)
Subject: Physics
A student is studying a book placed at the edge of a circular table of radius \( R \)
A point source of light is suspended
directly above the centre of the table.
What should be the height of the lamp
so that maximum illuminance is
produced at the position of the book?
A. \( R \)
в. \( \frac{R}{2} \)
c. \( \frac{R}{\sqrt{2}} \)
D. \( \frac{R}{\sqrt{3}} \)
Subject: Chemistry
If \( R_{H} \) is the Rydberg constant, then the energy of an electron in the ground
state of Hydrogen atom is:
A \( \cdot \frac{-R_{H}}{c h} \)
в. \( \frac{-1}{R_{H} c h} \)
c. \( \frac{-h c}{R_{H}} \)
D. \( -R_{H} h c \)
Subject: Physics
Assertion
If an object is projected from the earth's surface with escape velocity, path of the
object will be parabola.
Reason
When object is projected with a velocity less than escape velocity from horizontal surface and greater than orbital velocity, path of the object will be ellipse.
A. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is a correct explanation for STATEMENT-
B. STATEMENT-1 is True, STATEMENT-2 is True:
STATEMENT-2 is NOT a correct explanation for STATEMENT-1
c. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
Subject: Physics
A source of sound \( A \) emit waves of
frequency \( 1800 \mathrm{Hz} \) is falling towards ground with a terminal speed \( v . \) The observer \( B \) on the ground directly beneath the source receives waves of
frequency \( 2150 H z \). The source \( A \) receives waves, reflected from ground,
of frequency nearly:
(Speed of sound \( =343 \mathrm{m} / \mathrm{s} \) )
A. \( 2150 H z \)
в. \( 2500 H z \)
с. \( 1800 H z \)
D. 2400H \( z \)
Subject: Chemistry
Which of the following represents soap?
A \( \cdot C_{17} H_{35} C O O K \)
в. \( C_{17} H_{35} C O O H \)
\( \mathbf{c} \cdot C_{15} H_{31} C O O H \)
D \( \cdot\left(C_{17} H_{35} C O O\right)_{2} C a \)
Subject: Physics
A small ball is suspended from a fixed
point \( \boldsymbol{O} \) by means of a light and inextensible string of length \( l \). The bal is first taken aside such that string becomes horizontal and then released
from rest. At the bottom it collides with
a fixed obstacle. The coefficient of
restitution is \( e . \) Find the maximum
angular deflection of the string after \( n \) th collision
Subject: Physics
A ware house worker exerts a constant
horizontal force of magnitude \( 85 N \) on a
\( 40 k g \) box that is initally at rest on the floor of the ware house. After moving a
distance of \( 2 m \) the speed of the box is
\( 1 m s^{-1} . \) The coefficent of friction
between the box and the ware house
floor is \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-\mathbf{2}}\right) \)
A \( .5 / 16 \)
в. \( 3 / 16 \)
c. \( 19 / 80 \)
D. \( 0.25 / 16 \)
Subject: Chemistry
In water molecule, the two \( \boldsymbol{O}-\boldsymbol{H} \)
bonds are oriented at an angle of \( 104.5^{\circ} \)
\( \ln B F_{3}, \) the three \( B-F \) bonds are
oriented at an angle of \( 120^{\circ} . \ln B e F_{2} \)
the two \( B e-F \) bonds are oriented at
an angle of \( 180^{\circ} . \) Which of the following will have highest dipole moment?
A. \( B e F_{2} \)
в. \( B F_{3} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. All have zero dipole moment
Subject: Physics
How are \( g \) and \( G \) related?
A \( \cdot g=\frac{G M}{R^{3}} \)
в. \( g=\frac{M}{G R^{2}} \)
c. \( _{g}=\frac{G M}{R^{2}} \)
D. \( g=\frac{G M}{R} \)
Subject: Maths
\( \frac{2 x^{2}+2 x+1}{x^{3}+x^{2}}= \)
A \( \cdot \frac{1}{x}-\frac{1}{x^{2}}-\frac{1}{x+1} \)
в. \( \frac{1}{x}-\frac{1}{x^{2}}+\frac{1}{x+1} \)
c. \( \frac{1}{x}+\frac{1}{x^{2}}+\frac{1}{x+1} \)
D. \( \frac{1}{x}+\frac{1}{x^{2}}-\frac{1}{x+1} \)
Subject: Chemistry
In a buffer solution consisting
\( N a H_{2} P O_{4} \) and \( N a_{2} H P O_{4} \)
(1) \( N a H_{2} P O_{4} \) is acid and \( N a_{2} H P O_{4} \)
is salt
(2) The pH of solution can be calculated using the relation:
\( \boldsymbol{p} \boldsymbol{H}=\boldsymbol{p} \boldsymbol{K}_{2}+\log _{10} \frac{\left[\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-}\right]}{\left[\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{-}\right]} \)
(3) The \( N a_{2} H P O_{4} \) is acid and
\( N a H_{2} P O_{4} \) is salt
(4) The pH cannot be calculated.
A. 1,2 and 3 are correct
B. 1 and 2 are correct
\( c \cdot 2 \) and 4 are correct
D. 1 and 3 are correct
Subject: Biology
Which of the following statement (s) is (are) true about heart?
(i) Left atrium receives oxygenated blood from different parts of the body while right atrium receives deoxygenated blood from lungs.
(ii) Left ventricle pumps oxygenated blood to different body parts while right ventricle pumps deoxygenated blood to lungs.
(iii) Left atrium transfers oxygenated
blood to right ventricle which sends it to
different parts of the body.
(iv) Right atrium receives deoxygenated blood from different parts of the body
while left ventricle pumps oxygenated blood to different parts of the body.
A . (i)
B. (ii)
c. (ii) and (iv)
D. (i) and (iii)
Subject: Physics
can be moved from \( a \) to \( b, \) connecting
either inductance \( L \) or capacitance \( C \)
to a resistor \( R \) when the key is pressed
the switch \( S \) will be at either \( a \) or \( b \). In
column \( I, \) the variation of physical
quantities charge,current,voltage etc.in
time are given in terms of constants
\( C^{\prime} s \) and \( K^{\prime} s \) the values of which
depends on emf \( V, R, L \) and \( C . \ln \)
column \( \boldsymbol{I} \boldsymbol{I}, \) the physical quantities
under different switch positions are
given. the variation in column \( \boldsymbol{I} \) may
correspond to one or more quantities of
Column \( \boldsymbol{I} \boldsymbol{I} \)
Subject: Chemistry
The primary and secondary valency of a central metal ion in \( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4} \boldsymbol{C O}_{3}\right] \boldsymbol{C l} \)
complex is and
respectively.
A .2,6
B. 4,6
c. 4,5
D. 3,6
Subject: Physics
Assertion
When monochromatic light falls on a photosensitive material, the number of
photo electrons emitted per second is \( n \)
and their maximum kinetic energy is
\( K_{m a x} . \) If the intensity \( I \) of the incident
light is doubled, \( n \) is doubled but \( K_{m a x} \)
remains the same.
Reason
The value of \( n \) is directly proportional to
\( I \) but \( K_{\max } \) is independent of \( I \)
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
Imagine a light planet revolving around a very massive star in a circular orbit of
radius \( R \) with a period of revolution \( T . \) If the gravitational force of attraction between the planet and the star is proportional to \( R^{-5 / 2}, \) then \( T^{2} \) is
proportional to:
\( \mathbf{A} \cdot R^{3} \)
B. \( R^{7 / 12} \)
c. \( R^{3 / 2} \)
D. \( R^{3.75} \)
Subject: Chemistry
Which of the following statements is incorrect?
A. Generally the radius trend and the ionization energy trend across a period are opposites.
B. Metallic and covalent radii of potassium are \( 2.3 A^{\circ} \) and
\( 2.03 A^{\circ} \) respectively.
C. Amongst \( L i^{-}, B e^{-}, B^{-} \) and \( C^{-}, L i^{-} \) is least stable ion.
D. Atomic and ionic radii of Niobium and Tantalum are
almost same.
Subject: Physics
Two vertical metallic plates carrying equal and opposite charges are kept parallel to each other like a paralle plate capacitor. A small spherical metallic ball is suspended by a long insulated thread such that it hangs
freely in the center of the two metallic plates. The ball, which is uncharged, is taken slowly towards the positively charged plate and is made to touch that
plate. Then the ball will :
A. stick to the positively charged plate
B. come back to its original position and will remain there
c. oscillate between the two plates touching each plate in turn
D. oscillate between the two plates without touch them
Subject: Maths
Use the Venn diagram to answer the
following questions
(i) List the elements of \( \boldsymbol{U}, \boldsymbol{E}, \boldsymbol{F}, \boldsymbol{E} \cup \boldsymbol{F} \)
and \( \boldsymbol{E} \cap \boldsymbol{F} \)
(ii) Find \( n(U), n(E \cup F) \) and \( n(E \cap F) \)
Subject: Physics
A charged particle begins to move from the origin in a region which has a
uniform magnetic field in the \( x- \)
direction and a uniform electric field in
the \( y- \) direction. Its speed is \( v \) when it
reaches the point \( (x, y, z) . \) Then, \( v \) will
depend
A. only on \( x \)
B. only on \( y \)
c. on both \( x \) and \( y \), but not \( z \)
D. on \( x, y \) and \( z \)
Subject: Chemistry
Cr has electronic configuration as:
A \( \cdot 3 s^{2} 3 p^{6} 3 d^{1} 4 s^{1} \)
B . \( 3 s^{2} 3 p^{6} d^{5} 4 s^{1} \)
c. \( 3 s^{2} 3 p^{6} 3 d^{6} \)
D. None of the above
Subject: Biology
Which of the following are the reasons for population explosion?
(i) Increased health facilities
(ii) Rapid increase in MMR
(iii) Rapid increase in IMR
(iv) Rapid decrease in MMR
(v) Decrease in number of people
reaching reproductive age
\( A \cdot \) (i) and (iv)
B. (iii) and (v)
c. (ii) and (iii)
\( D \cdot \) (i) and (v)
Subject: Maths
Locus of a point that is equidistant from the lines \( x+y-2 \sqrt{2}=0 \) and
\( \boldsymbol{x}+\boldsymbol{y}-\sqrt{\mathbf{2}}=\mathbf{0} \) is
A \( . x+y-5 \sqrt{2}=0 \)
B . \( x+y-3 \sqrt{2}=0 \)
c. \( 2 x+2 y-3 \sqrt{2}=0 \)
D. \( 2 x+2 y-5 \sqrt{2}=0 \)
Subject: Chemistry
The ground state electronic
configuration of \( C O \) molecule is:
\( \mathbf{A} \cdot 1 \sigma^{2} 2 \sigma^{2} 1 \pi^{4} 3 \sigma^{2} \)
B \( \cdot 1 \sigma^{2} 2 \sigma^{2} 3 \sigma^{2} 1 \pi^{2} 2 \pi^{2} \)
C \( \cdot 1 \sigma^{2} 2 \sigma^{2} 1 \pi^{2} 3 \sigma^{2} 2 \pi^{2} \)
D. \( 1 \sigma^{2} 1 \pi^{4} 2 \sigma^{2} 3 \sigma^{2} \)
Subject: Physics
Three metal rods made of copper,
aluminium and brass, each \( 20 \mathrm{cm} \) long
and \( 4 \mathrm{cm} \) in diameter, are maintained
at 100 and \( 0^{\circ} \mathrm{C} \) respectively. Assume
that the thermal conductivity of copper
is twice that of aluminium and four
times that of brass. The approximately
equilibrium temperatures of the copper
-aluminium and aluminium - brass
junctions are respectively.
A \( \cdot 68^{\circ} \mathrm{C} \) and \( 75^{\circ} \mathrm{C} \)
B. \( 75^{\circ} \mathrm{C} \) and \( 68^{\circ} \mathrm{C} \)
\( \mathrm{c} \cdot 57^{\circ} \mathrm{C} \) and \( 86^{\circ} \mathrm{C} \)
D. \( 86^{\circ} \mathrm{C} \) and \( 57^{\circ} \mathrm{C} \)
Subject: Chemistry
The osmotic pressure of a solution containing 40 g of solute (molecular mass 246 ) per litre at \( 27^{\circ} C \) is:
\( \left[\boldsymbol{R}=\mathbf{0 . 0 8 2 2} \boldsymbol{\operatorname { a t m }} \boldsymbol{L} \boldsymbol{m o l}^{-\mathbf{1}}\right] \)
A. 3.0 atm
B. 4.0 atm
c. 2.0 atm
D. 1.0 atm
Subject: Physics
Assertion
Gaussian surface is considered
carefully.
Reason
The point where electric field to be
calculated should be within the surface.
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 YDSE apparatus is as shown in the
figure. The condition for point \( \boldsymbol{P} \) to be a
dark fringe is \( (l= \) wavelength of light
waves)
A \( \cdot\left(l_{1}-l_{3}\right)+\left(l_{2}-l_{4}\right)=n \lambda \)
\( \left(l_{1}-l_{2}\right)+\left(l_{3}-l_{4}\right)=\frac{(2 n+1) \lambda}{2} \)
c. \( \left(l_{1}+l_{3}\right)+\left(l_{2}+l_{4}\right)=\frac{(2 n-1) \lambda}{2} \)
\( \left(l_{1}-l_{2}\right)+\left(l_{4}-l_{3}\right)=\frac{(2 n-1) \lambda}{2} \)
Subject: Chemistry
Calculate the molarity of each of the following solutions:
(a) \( 30 g \) of \( C o\left(N O_{3}\right)_{2} \cdot 6 H_{2} O \) in \( 4.3 \mathrm{L} \) of
solution
(b) \( 30 \mathrm{mL} \) of \( 0.5 \mathrm{M} H_{2} S O_{4} \) diluted to 500
mL.
Subject: Maths
Let \( \boldsymbol{f}: \boldsymbol{N} \rightarrow \boldsymbol{R} \) be such that \( \boldsymbol{f}(\mathbf{1})=\mathbf{1} \)
and \( \boldsymbol{f}(\mathbf{1})=\mathbf{2} \boldsymbol{f}(\mathbf{2})+\mathbf{3} \boldsymbol{f}(\mathbf{3})+\ldots+ \)
\( \boldsymbol{n} \boldsymbol{f}(\boldsymbol{n})=\boldsymbol{n}(\boldsymbol{n}+1) \boldsymbol{f}(\boldsymbol{n}), \) for all
\( \boldsymbol{n} \boldsymbol{\epsilon} \boldsymbol{N}, \boldsymbol{n} \geq 2, \) where \( \boldsymbol{N} \) is the set of
natural numbers and \( R \) is the set of real
numbers. Then the value of \( \boldsymbol{f}(\mathbf{5 0 0}) \) is
A. 1000
в. 500
c. \( 1 / 500 \)
D. \( 1 / 1000 \)
Subject: Maths
Area of the field is
\( \mathbf{A} \cdot a^{2} \sin \alpha \cos \alpha+c^{2} \sin \beta \cos \beta+e^{2} \sin \gamma \cos \gamma \)
B. \( (a \cos \alpha+c \cos \beta+d+e \cos \gamma)(a \sin \alpha+b+c \sin \beta+ \)
\( e \sin \gamma) \)
C \( \cdot a^{2}+b^{2}+c^{2}+d^{2}+e^{2} \)
D. none of these
Subject: Maths
A random variable \( X \) has the following probability distribution
\[
\begin{array}{llll}
\boldsymbol{X}= & -2 & -1 & 0
\end{array}
\]
\[
\begin{array}{c}
P(x) \\
\text { Then } \boldsymbol{E}(\boldsymbol{x})=
\end{array}
\]
\( \begin{array}{llll}0.1 & 0.2 & 0.2\end{array} \)
A . 0.8
в. 0.9
c. 0.7
D. 1.
Subject: Chemistry
The composition of the solution whose normal boiling point is \( T \)
A \( \cdot X_{A}=0.08, X_{B}=0.92 \)
В. \( X_{A}=0.92, X_{B}=0.18 \)
C \( . X_{A}=0.18, X_{B}=0.82 \)
D. None of these
Subject: Chemistry
If Hund's rule is not followed, magnetic
moment if \( \mathrm{Fe}^{2+} \) is:
\( A \cdot O \)
в. \( \frac{h}{2 \pi} \)
\( c \cdot \frac{3 h}{2 \pi} \)
D. \( \frac{\sqrt{3} h}{4 \pi} \)
Subject: Physics
The modulus of elasticity \( (\boldsymbol{E}) \) and modulus of rigidity \( (C) \) are related by(m is the poissons ratio)
\( ^{A} \cdot C=\frac{E}{3(m-2)} \)
в. \( c=\frac{E}{2(m+1)} \)
\( c \cdot c=\frac{3(m-2)}{m E} \)
D. \( c=\frac{2(m+1)}{m E} \)
Subject: Physics
A liquid of specific heat 0.3 at \( 90^{\circ} \mathrm{C} \) is mixed with another liquid of specific
heat 0.5 at \( 15^{\circ} \mathrm{C} \). If final temperature of
the mixture is \( 60^{\circ} \mathrm{C} \), then find the ratio of masses of the two liquids mixed.
Subject: Maths
If \( \sqrt{1-x^{6}}+\sqrt{1-y^{6}}=a\left(x^{3}-y^{3}\right) \)
and \( \frac{d y}{d x}=f(x, y) \sqrt{\frac{1-y^{6}}{1-x^{6}}} \) then
\( \begin{array}{ll}\text { A } \cdot f(x, y)=\frac{y}{x} & \text { B. } f(x, y)=\frac{x^{2}}{y^{2}} \\ \text { c. } f(x, y)=2 \frac{y^{2}}{x^{2}} & \\ \text { D. } f(x, y)=\frac{y^{2}}{x^{2}} & \end{array} \)
Subject: Maths
Given set of equations is \( \mathbf{1} . \mathbf{3} \boldsymbol{g}+\mathbf{1} . \mathbf{7} \boldsymbol{h}=\mathbf{5} \)
\( 3 h=20+13 g \)
Based on the system of equations
above, determine the value of \( h \)
\( ^{A} \cdot \frac{7}{2} \) or 3.5
B. 3
c. \( \frac{9}{2}=4.5 \)
D. 4
Subject: Chemistry
Assertion
Water, kept in an open vessel, will quickly evaporate on the surface of the
moon.
Reason
The temperature at the surface of the moon is much higher than boiling point of water
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
Assertion
When spinning ball is thrown it deviates from its usual path in flight.
Reason
Time of flight will remain same if axis of
rotation is vertical
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
Which of the following are examples of
pseudo-unimolecular reactions?
This question has multiple correct options
\( \mathbf{A} \cdot C H_{3} C O_{2} C_{2} H_{5}+H_{2} O \stackrel{H^{+}}{\longrightarrow} C H_{3} C O_{2} H+C_{2} H_{5} O H \)
\( \mathbf{B} \cdot C_{12} H_{22} O_{11}+H_{2} O \stackrel{H^{+}}{\rightarrow} C_{6} H_{12} O_{6}(g l u c o s e)+C_{6} H_{12} O_{6} \)
(fructose)
\( \mathbf{c} \cdot C H_{3} C O C l+H_{2} O \rightarrow C H_{3} C O_{2} H+H C l \)
\( \mathrm{D} \cdot \mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{C}_{2} \mathrm{H}_{5}+\mathrm{H}_{2} \mathrm{O} \stackrel{\mathrm{OH}^{-}}{\longrightarrow} \mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H}+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH} \)
Subject: Physics
A wire has a mass \( 0.3 \pm 0.003 \mathrm{g} \), radius
\( \mathbf{0 . 5} \pm \mathbf{0 . 0 0 5} \boldsymbol{m m} \) and length \( \boldsymbol{6} \pm \)
\( 0.06 \mathrm{cm} . \) The maximum percentage
error in the measurment of its density is
A . 1
B. 2
\( c .3 \)
D. 4
Subject: Maths
The \( 15^{t h} \) terms of the series \( 2 \frac{1}{2}+ \) \( 1 \frac{7}{13}+1 \frac{1}{9}+\frac{20}{23}+_{----} \)
\( A \cdot \frac{5}{12} \)
в. \( \frac{10}{21} \)
c. \( \frac{10}{39} \)
D. None of these
Subject: Maths
\( \boldsymbol{x}^{\frac{1}{2}}+\mathbf{1}=\boldsymbol{t} \)
differentiate w.r.t. \( \mathbf{x} \)
\( \mathbf{A} \cdot \frac{d t}{d x}=\frac{1}{2 \sqrt{x}} \)
B. \( \frac{d t}{d x}=\frac{1}{4 \sqrt{x}} \)
\( \mathbf{C} \cdot \frac{d t}{d x}=\frac{1}{8 \sqrt{x}} \)
D. \( \frac{d t}{d x}=\frac{1}{16 \sqrt{x}} \)
Subject: Chemistry
The vapour pressure of water at \( 20^{\circ} \mathrm{C} \) is 17 mm Hg. Calculate the vapour pressure of a solution containing 2.8 g
of urea \( \left(N H_{2} C O N H_{2}\right) \) in 50 g of water
\( \mathrm{N}=14, \mathrm{C}=12,0=16, \mathrm{H}=1(16.71 \mathrm{mm} \mathrm{Hg}) \)
Subject: Physics
Assertion
Brittle materials, which includes cast
iron, glass, and stone, are characterized by the fact that rupture occurs without
any noticeable prior change in the rate
of elongation.
Reason
There is no neck formation in stress
strain curve for brittle material.
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
Out of \( \boldsymbol{F} \boldsymbol{e}^{2+}, \boldsymbol{F} \boldsymbol{e}^{3+}, \boldsymbol{M} \boldsymbol{n}^{2+} \) and \( \boldsymbol{T} \boldsymbol{i}^{2+}, \) the
least size is of:
\( \mathbf{A} \cdot M n^{2+} \)
B. \( T i^{2} \)
\( \mathrm{c} \cdot F e^{2} \)
D. \( F e^{3} \)
Subject: Physics
How much heat is needed to melt the
block of ice?
A \( \cdot 1.26 \times 10^{4} \) 」
B . 4.2 \( \times 10^{5} \) j
c. \( 3.3 \times 10^{5} \) j
D. \( 6.6 \times 10^{5} \mathrm{J} \)
E . \( 9.9 \times 10^{5} \mathrm{J} \)
Subject: Physics
A metal ball \( B_{1} \) (density \( 3.2 \mathrm{g} \mathrm{cm}^{-3} \) ) is dropped in water while another metal
ball \( B_{2} \) (density \( 6.0 \mathrm{g} \mathrm{cm}^{-3} \) ) is dropped
in a liquid of density \( 1.6 \mathrm{g} \mathrm{cm}^{-3} \). If both the balls have the same diameter and
attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is:
A . 2.
B. 0.5
\( c \cdot 4.0 \)
D. indeterminate due to insufficient data
Subject: Physics
Plot \( A \& B \) represent variation of charge
with potential difference across the
combination (series and parallel) of two
capacitors. Then find the value of
capacitance of capacitors.
A \( .20 \mu F, 30 \mu F \)
B. \( 10 \mu F, 40 \mu F \)
с. \( 10 \mu F, 15 \mu F \)
D. \( 25 \mu F, 25 \mu F \)
Subject: Physics
When a wave traverses a medium the
displacement of a particle located at \( x \) at a time is given by \( y=a \sin (b t-c x) \) where a, band are constants of the wave,
which of the following is a quantity with dimensions?
A. \( \frac{y}{a} \)
в. \( b t \)
c. \( c x \)
D. \( \frac{b}{c} \)
Subject: Maths
If \( X=\{2,3,5,7,11\} \) and \( Y=\{4,6,8,9,10\} \) then find the number of one-one functions
from \( X \) to \( Y \)
A . 720
B. 120
\( c \cdot 24 \)
\( D \cdot 12 \)
Subject: Maths
toppr
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Q Type your question_
Help him by completing the following
table.
Number of spokes 10
Angle between pair of consecutive
spokes (in degrees)
(i) Are the number of spokes and the
angles formed between the pairs of
consecutive spokes in inverse
proportion?
(ii) Calculate the angle between a pair of consecutive spokes on a wheel with
15 spokes
(iii) How many spokes would be needed, if the angle between a pair of
consecutive spokes is \( 40 ? \)