AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The angle of contact between a glass capillary tube of length \( 10 \mathrm{cm} \) and a
liquid is \( 90^{\circ} . \) If the capillary tube is
dipped vertically in the liquid, then the liquid
A. Will rise in the tube
B. Will get depressed in the tube
c. Will rise up to \( 10 \mathrm{cm} \) in the tube and will over flow
D. Will neither rise nor fall in the tube
Subject: Maths
Given \( \mathbf{A}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{- 6} \\ \mathbf{2} & \mathbf{0}\end{array}\right], \mathbf{B}= \)
\( \left[\begin{array}{cc}-\mathbf{3} & \mathbf{2} \\ \mathbf{4} & \mathbf{0}\end{array}\right], \boldsymbol{C}=\left[\begin{array}{ll}\mathbf{4} & \mathbf{0} \\ \mathbf{0} & \mathbf{2}\end{array}\right] . \) Find the matrix
\( x \) such that \( \boldsymbol{A}+\mathbf{2} \boldsymbol{X}=\mathbf{2} \boldsymbol{B}+\boldsymbol{C} \)
Subject: Physics
Q Type your question
gas particles from both sides as shown
in the figure. The solid dots are
representing the molecules hitting from left side and the faint dots are the
molecules hitting from right side. The
mass of these gas particles is \( \boldsymbol{m}= \)
\( 10^{-26} k g \) and velocity before hitting is
\( v_{0}=5 m / s . \) Volume density of the gas
particles on both sides is \( n=10^{25} \) per
\( m^{3} . \) Each beam has an area \( A=1 m^{2} \)
and the collisions are perfectly elastic.
What is the external force \( F \) (in newton)
required to move the plate with a
constant velocity \( \boldsymbol{v}=2 \boldsymbol{m} / \boldsymbol{s} \)
Subject: Chemistry
Which of the following pairs of carbon
skeletons is an example of isomers?
\( A \)
\[
\mathbf{C}-\mathbf{C}-\mathbf{C} \text { and } \mathbf{C}-\frac{\mathbf{C}}{\mathbf{C}}-\mathbf{C}
\]
B.
\[
\mathbf{C}-\mathbf{C}-\frac{\mathbf{I}}{\mathbf{C}} \text { and } \mathbf{C}-\mathbf{C}-\frac{\mathbf{C}}{\mathbf{C}}-\mathbf{C}
\]
\( c \)
\[
\begin{array}{l}
\mathbf{C} \\
\mathbf{C}-\mathbf{C}-\mathbf{C} \text { and } \mathbf{C}-\mathbf{C}-\mathbf{C} \\
\mathbf{I} \\
\mathbf{C}
\end{array}
\]
D.
\[
\mathbf{C}-\mathbf{C}-\mathbf{C}-\mathbf{C} \text { and } \underset{\mathbf{C}}{\mathbf{C}} \mathbf{C}-\mathbf{C}-\mathbf{C}
\]
Subject: Maths
The converse of the contrapositive of the
conditional \( \boldsymbol{p} \rightarrow \sim \boldsymbol{q} \) is.
A \( . p \rightarrow q \)
в. \( p \rightarrow \sim q \)
\( \mathbf{c} . \sim q \rightarrow p \)
\( \mathbf{D} \cdot \sim p \rightarrow q \)
Subject: Physics
\( 50 H z \) alternative current current of
crest value \( 1 A \) flows through the primary of a transformer. If mutual
inductance between the primary and secondary is \( 0.5 ~ H, \) then crest voltage
induced in the secondary is:
\( \mathbf{A} \cdot 100 V \)
B. \( 150 V \)
\( \mathrm{c} .75 \mathrm{V} \)
D. \( 50 V \)
Subject: Physics
An extremely small and dense neutron star of mass \( M \) and radius \( R \) is
rotating at an angular frequency \( \omega . \) If an object is placed at its equator, it will remain stuck to it due to gravity if
A \( \cdot M>\frac{R \omega}{G} \)
в. \( _{M}>\frac{R^{2} \omega^{2}}{G} \)
\( ^{\mathbf{C}} \cdot M>\frac{R^{3} \omega^{2}}{G} \)
D. \( M>\frac{R^{2} \omega^{3}}{G} \)
Subject: Chemistry
\( Z n+H_{2} S O_{4} \rightarrow \) a gas
If we bring a burning splinter near the gas produced in the given reaction, it burns with a pop sound. The gas is:
\( A \cdot O_{2} \)
в. \( N_{2} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \)
D. \( C O_{2} \)
Subject: Physics
A conducting gas is in the form of a long cylinder. Current flows through the gas along the length of the cylinder. The current is distributed uniformly across
the cross-section of the gas. Disregard thermal and electrostatic forces among
the gas molecules. Due to the magnetic fields set up inside the gas and the
forces which they exert on the moving ions, the gas will tend to
A. expand
B. contract
c. expand and contract alternately
D. none of the above
Subject: Chemistry
Natural rubber or raw rubber consists of
basic material latex which is a
dispersion of isoprene. During the treatment, this isoprene forms a high molecular weight polymer of isoprene. Natural rubber can be obtained from
five hundred different species of plants.
Which rubber is not a polydiene?
A. Polyisoprene
B. Polychloroprene
c. Thiokal rubber
D. Nitrile rubber
Subject: Physics
A concave mirror produces 10 times enlarged image (real) of an object
placed \( 1 c m \) in front of it. Where is the
image located?
A \( .5 \mathrm{cm} \)
B. \( -10 \mathrm{cm} \)
c. \( -5 c m \)
D. \( 10 \mathrm{cm} \)
Subject: Physics
The magnetic flux linked with a coil is changing with time \( t(\text { second }) \) according to \( \phi=6 t^{2}-5 t+1 . \) Where \( \phi \) is in \( \mathrm{Wb} \)
At \( t=0.5 \mathrm{S}, \) the induced current in the
coil is

The resistance
of the circuit is \( 10 \Omega \)
A . 1 A
B. 0.1A
c. \( 0.1 \mathrm{mA} \)
D. 10A
Subject: Physics
For the given circuit, the natural
frequency is given by :
\( \mathbf{A} \cdot \frac{1}{2 \pi} \sqrt{L C} \)
B. \( \frac{1}{2 \pi \sqrt{L C}} \)
\( c \cdot \sqrt{\frac{l}{C}} \overline{\underline{l}} \)
D. \( \sqrt{\frac{c}{L}} \)
Subject: Chemistry
What is A?
\[
\begin{array}{c}
\text { ОН } \\
\mathbf{A}+\mathbf{H C N} \rightarrow \mathbf{C H}_{3} \mathbf{C H C N}
\end{array} \stackrel{\text { нзо+ }}{\longrightarrow} \text { ме }^{\text {ОН }}
\]
Subject: Chemistry
A substance reacts according to order kinetic and rate constant for the
reaction is \( 1 \times 10^{-2} \)sec\( ^{-1} \). If the initial
concentration is \( 1 \mathrm{M} \)

Rate of the reaction after 1 minute is:
A \( .5 .49 \times 10^{-3} \) mol litre \( ^{-1} \) sec \( ^{-1} \)
B. \( 5.55 \times 10^{-3} \) mol litre \( ^{-1} \) sec \( ^{-1} \)
c. \( 7.49 \times 10^{-3} \) mol litre \( ^{-1} \) sec \( ^{-1} \)
D. None of these
Subject: Chemistry
Assertion
A solution of sucrose in water is
dextrorotatory while on hydrolysis in presence of little hydrochloric acid, becomes laevorotatory.
Reason
Sucrose on hydrolysis give unequal amounts of glucose and fructose as result of which change in sign of rotation observed.
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
The domain of the function \( y= \)
\( \sqrt{\sin x+\cos x}+\sqrt{7 x-x^{2}-6} \) is
\( \left[p, \frac{q \pi}{4}\right] \cup\left[\frac{r \pi}{4}, s\right] \) then value of \( p+ \)
\( \boldsymbol{q}+\boldsymbol{r}+\boldsymbol{s} \) is
Subject: Chemistry
What will be the prefix in the following compound? HOOC \( -\boldsymbol{C H}_{2} \)
\( \boldsymbol{H O O C}-\boldsymbol{C H}-\boldsymbol{2}-\boldsymbol{C H}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{C O O H} \)
A. methycarboxy
B. carboxymethyl
c. carboxyethyl
D. ethylcarboxy
Subject: Physics
A liquid of mass \( \mathrm{m} \) and specific heat \( \mathrm{c} \) is heated to temperature 2T. Another liquid of mass m/2 specific heat \( 2 c \) is
heated to a temperature T. If these two liquids are nixed, the resulting temperature mixture is
\( A \cdot(2 / 3) T \)
B. (8/5) T
\( c \cdot(3 / 5) T \)
D. (3/ 2)T
Subject: Physics
A uniform meter scale balances
horizontally on a knife-edge placed at \( 55 \mathrm{cm} \) mark, when a mass of \( 25 \mathrm{g} \) is supported from one end, then the mass of the scale is:
A. \( 200 \mathrm{g} \)
B. 225 g
c. \( 350 \mathrm{g} \)
D. 275 g
Subject: Physics
The work done in rotating a body from
angle \( \theta_{1} \) to angle \( \theta_{2} \) by a constant
torque \( \boldsymbol{\tau} \) will be :
A \( \cdot \frac{\tau}{\left(\theta_{1}-\theta_{2}\right)} \)
В \( \cdot \tau\left(\theta_{2}-\theta_{1}\right) \)
c. 0
D. \( \frac{\left(\theta_{1}-\theta_{2}\right)}{\tau} \)
Subject: Maths
The equation of the circle which passes through the point (3,-2) and (-2,0) and centre line \( 2 x-y=3, \) is
A \( \cdot x^{2}+y^{2}-3 x-12 y+2=0 \)
B. \( x^{2}+y^{2}-3 x+12 y+2=0 \)
c. \( x^{2}+y^{2}+3 x+12 y+2=0 \)
D. None of these
Subject: Physics
A neutron moving with velocity u collides with a stationary \( \boldsymbol{\alpha}- \) particle
The velocity of the neutron after collision is
A. \( -\frac{30}{5} \)
в. \( \frac{30}{5} \)
c. \( \frac{20}{5} \)
D. \( -\frac{2 U}{5} \)
Subject: Chemistry
\( 12 g \) of carbon combines with \( 64 g \)
sulphur to form \( C S_{2} .12 g \) carbon also
combines with \( 32 g \) oxygen to form \( C O_{2} \)
10 \( g \) sulphur combines with \( 10 g \) oxygen
to form \( S O_{2} . \) These data illustrate the
A. Law of multiple proportions
B. Law of definite proportions
c. Law of reciprocal proportions
D. Law of gaseous volumes
Subject: Chemistry
Which compound is formed when
excess of \( K C N \) is added to an aqueous
solution of copper sulphate?
\( \mathbf{A} \cdot C u(C N)_{2} \)
в. \( K_{2}\left[C u(C N)_{2}\right] \)
c. \( K\left[C u(C N)_{2}\right] \)
D. \( K_{3}\left[C u(C N)_{4}\right] \)
Subject: Physics
A vehicle moving with a constant acceleration from \( A \) to \( B \) in a straight
line \( A B, \) has velocities \( u \) and \( v \) at \( A \) and
B respectively. C is the mid point of AB. If time taken to travel from A to C is
twice the time to travel from \( C \) to \( B \) then
the velocity of the vehicle \( v \) at \( B \) is:
A . \( 5 u \)
B. \( 6 u \)
c. \( 7 u \)
D. \( 8 u \)
Subject: Physics
For a body moving with uniform acceleration \( a \), initial and final
velocities in a time interval \( t \) are \( u \) and
\( \boldsymbol{v} \) respectively. Then, its average velocity
in the time interval \( t \) is :
This question has multiple correct options
A \( \cdot\left(v+\frac{a t}{2}\right) \)
B. \( \left(v-\frac{a t}{2}\right) \)
c. \( (v-a t) \)
D. \( \left(u+\frac{a t}{2}\right) \)
Subject: Maths
A man bought a second hand car for Rs.
76000 and a \( T V \), for Rs. \( 27500 . \) He sold
the car at a gain of \( 15 \% \) and the T.V. at a
loss of \( 12 \% \). Find the total amount
gained or lost from the two transactions.
A . lost Rs. 1800
B. gained Rs. 1800
c. gained Rs. 8100
D. lost Rs. 8100
Subject: Biology
11
glycolysis has been given below. Select the option which correctly fills up the blanks for \( P, Q, R \) and \( S .\left[' X^{\prime} \) stands for \right.
'nil'].

Steps
\[
\text {Glucose } \rightarrow \text {Glucose }-6-
\]
1. phosphate
Fructose \( -6- \)
2. \( \quad \) phosphate \( \rightarrow \) Fructose \( - \)
\[
\begin{array}{l}
1,6-\text { bisphosphate } \\
1,3-
\end{array}
\]
3
bisphosphoglycericacid \( \rightarrow \)
\[
\begin{array}{l}
\text { orsprospnogiycericacia } \rightarrow \\
3-\text { Phospho - glycericacid } \\
2-
\end{array}
\]
4
Phosphoenolpyruvicacid \( \rightarrow \) Pyruvicacid
A. P-1; Q-X; R-X; S-2
B. P-1; Q-X; R-2; S-X
c. \( P-2 ; Q-1 ; R-X ; S-1 \)
D. P-X; Q-1; R-2; S-X
Subject: Physics
\( 84 P_{0}^{210} \) originally at rest emits \( \alpha \) particles of KE 'K' Find the KE of recoiling nucleus:
A \( \cdot \frac{4}{214} K \)
в. \( \frac{4}{206} K \)
c. \( \frac{K}{206} \)
D. \( \frac{K}{214} K \)
Subject: Chemistry
The increasing order of solubility is :
A. \( C a C O_{3}, K H C O_{3}, N a H C O_{3} \)
в. \( \operatorname{NaHCO}_{3, K H C O_{3}, C a C O_{3}} \)
c. \( K H C O_{3}, N a H C O_{3}, C a C O_{3} \)
D. \( C a C O_{3}, N a H C O_{3}, K H C O_{3} \)
Subject: Physics
toppr
Q Type your question
objects moving at constant speed in circular paths are shown. The objects speeds, circular path radii, and masses
are given in each diagram.
In which situation does the pictured object have the greatest amount of acceleration due to its circular motion?
\( A \)
B.
\( c \)
\( D \)
E. None of the object in this question is accelerating, since they all are moving at a constant speed
Subject: Chemistry
Assertion
\( \mathbf{3 1 . 2 6} \) mL of \( \mathbf{0 . 1 6 5} \mathbf{~ M} \) solution of
\( B a(O H)_{2} \) is exactly neutralised by 25
mL of citric acid, \( C_{6} H_{8} O_{7} \) of molarity
\( \mathbf{0 . 1 3 8} \)
Reason
The acid is tribasic in nature.
A. Assertion is correct but Reason is wrong
B. Assertion is wrong but Reason is correct
c. Both Assertion and Reason are correct and Reason is correct explanation of Assertion
D. Both Assertion and Reason are correct but Reason is not correct explanation of Assertion
Subject: Maths
If \( \cos ^{-1} x-\sin ^{-1} x=0, \) then \( x \) is equal
to-
\( ^{\mathrm{A}} \pm \frac{1}{\sqrt{2}} \)
B. 1
\( ^{\mathrm{c}} \pm \frac{1}{\sqrt{3}} \)
D. \( \frac{1}{\sqrt{2}} \)
Subject: Biology
Choose the correct answers from the
following given. The mammalian excretory system involves all of the following except
A. reabsorption of high molecular weight proteins from the glomerular filtrate
B. active transport of chloride ions from the filtrate into the peritubular tissues
c. release of nitrogenous wastes into the intestines
D. hormonal control of permeability of walls in various excretory tubules
Subject: Physics
A resistor \( R, \) inductor \( L \) and a capacitor \( \mathrm{C} \) are connected in series to an
oscillator of frequency v. If the resonant
frequency is \( \boldsymbol{v}_{r}, \) then the current lags behind the voltage, when:
\( \mathbf{A} \cdot v=0 \)
В. \( v<v_{r} \)
с \( . v>v_{r} \)
D. \( v=v_{r} \)
Subject: Maths
The point \( C=\left(\frac{12}{5}, \frac{-1}{5}, \frac{4}{5}\right) \) divides the
line segment \( A B \) in the ratio \( 3: 2 . \) If
\( B=(2,-1,2) \) then \( A \) is
A . (3,1,1)
В. (3,1,-1)
D. (-3,1,-1)
Subject: Physics
A series resonant circuit contains \( \boldsymbol{L}= \) \( \frac{5}{\pi} m H, C=\frac{200}{\pi} \mu F \) and \( R=100 \mu \). If a
source of emf \( e=200 \sin 1000 \pi t \) is
applied, then the rms current is:
A \( .2 A \)
в. \( 200 \sqrt{2} A \)
D. \( 1.41 A \)
Subject: Chemistry
Which of the following pairs are
members of a Homologous series?
\( \mathbf{A} \cdot C H_{3} O C H_{3} ; C H_{3} C H_{2} O H \)
B. \( C H_{3} C H O ; C H_{3} C H_{2} C H O \)
\( \mathbf{c} \cdot C H_{3} C H_{2} C O O H ; C H_{3} C O O C H_{3} \)
D. \( \left(C H_{3}\right)_{2} C H O H ; C H_{3} C H_{2} O H \)
Subject: Physics
At \( t=0, \) a force \( F=k t \) is applied on a
block making an angle \( \alpha \) with the horizontal. Assume surfaces to be
smooth. Find the velocity of the body at the time of breaking off the plane:
\( ^{A} \cdot \frac{m g \cos \alpha}{2 k \sin \alpha} \)
B. \( \frac{m^{2} g^{2} \cos \alpha}{2 k \sin ^{2} \alpha} \)
c. \( \frac{m g^{2} \cos \alpha}{2 k \sin ^{2} \alpha} \)
D. \( \frac{m g^{2} \cos \alpha}{2 k \sin \alpha} \)
Subject: Chemistry
The element with the electronic
configuration \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{10} 4 s^{1} \)
is:
A. \( C u \)
в. \( C a \)
\( c \cdot C r \)
D. \( C o \)
Subject: Physics
A car starts from rest and has an
acceleration \( a=1 \mathrm{m} / \mathrm{s}^{2} . \) A truck is
moving with a uniform velocity of \( 6 \mathrm{m} / \mathrm{s} \) At what distance will the car overtake
the truck? direction \( (\text { at } t=0 \) both start
their motion in the same direction from the same position)
A. 36
B. 8 m
c. 32 \( \mathrm{m} \)
D. \( 4 \mathrm{m} \)
Subject: Physics
A horizontal wire carries 200 amp
current below which another wire of
linear density \( 20 \times 10^{-3} k g m^{-1} \)
carrying a current is kept at \( 2 \mathrm{cm} \) distance. If the wire kept below hangs in air. The current in this wire is :
A. \( 100 A \)
B. \( 9.8 \mathrm{A} \)
\( c \cdot 98 A \)
\( D \cdot 48 A \)
Subject: Maths
Let the image of the point \( \boldsymbol{P}(\mathbf{1}, \mathbf{0}, \mathbf{0}) \) in
the line \( \frac{\boldsymbol{x}-\mathbf{1}}{\mathbf{2}}=\frac{\boldsymbol{y}+\mathbf{1}}{-\mathbf{3}}=\frac{\boldsymbol{z}+\mathbf{1 0}}{\mathbf{8}} \) be \( \boldsymbol{R} \)
\( (x, y,-z) . \) Find \( x+y+z ? \)
Subject: Maths
The variance of first \( n \) natural numbers
is
A \( \cdot \frac{n(n+1)}{12} \)
B. \( \frac{(n+1)(n+5)}{12} \)
c. \( \frac{(n+1)(n-1)}{12} \)
D. \( \frac{n(n-5)}{12} \)
Subject: Maths
\[
\mathrm{f}_{\mathrm{f}} \prod_{r=4}^{8} \cos \left(\frac{\theta}{2^{r}}\right)=\frac{\sin \left(\frac{\theta}{2^{n_{1}}}\right)}{(2)^{n_{2}} \sin \left(\frac{\theta}{2^{n_{3}}}\right)}
\]
then the value of \( n_{1}+n_{3}-n_{2} \) is
Subject: Maths
If \( A \) be the \( A . M . \) and \( H \) the H.M. between
two numbers \( a \) and \( b \), then show
\( \frac{\boldsymbol{a}-\boldsymbol{A}}{\boldsymbol{a}-\boldsymbol{H}} \times \frac{\boldsymbol{b}-\boldsymbol{A}}{\boldsymbol{b}-\boldsymbol{H}}=\frac{\boldsymbol{A}}{\boldsymbol{H}} \)
Subject: Biology
Match the names of diseases with the
meanings given. Choose the answer
which gives the correct combination of
the alphabets of the two columns.
\begin{tabular}{llll} 
List I & \multicolumn{3}{c} { List II } \\
A. & Jaundice & 1. & Allergic inflammation of nose & Loss of motor functions \\
B. & Stenosis & 2. & Heart valve defect \\
C. & Rhinitis & 3. & Increase in bile pigments in the blood \\
D. & Paralysis & 4. & Septal defect of \\
& & & heart
\end{tabular}
\( \mathbf{A} \)
\( A-3, B-5, C-1, D-2 \)
2
B. A- 4, B-3, C-1, D-2
C. \( A-4, B-3, C-2, D-1 \)
D. \( A-3, B-4, C-1 \)
\( D \)
Subject: Maths
If the mean deviation of number \( 1,1+ \)
\( \boldsymbol{d}, \mathbf{1}+\mathbf{2} \boldsymbol{d}, \dots, \mathbf{1}+\mathbf{1 0 0} \boldsymbol{d} \) from their mean
is \( 255, \) then the \( d \) is equal to :-
A . 20.0
B. 10.1
c. 20.2
D. 10.0
Subject: Chemistry
Which property of hydrogen is shown by the following reactions?
\( \boldsymbol{F} \boldsymbol{e}_{3} \boldsymbol{O}_{4}+\boldsymbol{4} \boldsymbol{H}_{2} \rightarrow \boldsymbol{3} \boldsymbol{F} \boldsymbol{e}+\boldsymbol{H}_{2} \boldsymbol{O} \)
\( \boldsymbol{C O}+\boldsymbol{H}_{2} \frac{\boldsymbol{C r}_{2} \boldsymbol{O}_{3}}{\boldsymbol{Z n O}_{3}} \boldsymbol{C H}_{3} \boldsymbol{O H} \)
A. Reducing character
B. Oxidizing character
c. combustibility
D. High reactivity
Subject: Physics
Which of the following is the dimension of the coefficient of friction?
A \( \cdot\left[M^{2} L^{2} T\right] \)
В \( \cdot\left[M^{0} L^{0} T^{0}\right] \)
\( \mathbf{c} \cdot\left[M L^{2} T^{-2}\right] \)
D. \( \left[M^{2} L^{2} T^{-2}\right] \)
Subject: Maths
On Monday morning Mr. Smith had a certain amount of money that he planned to spend during the week. On each subsequent morning, he had one fourth the amount of the previous
morning. On Saturday morning, 5 days later, he had \( \$ 1 . \) How many dollars did
Mr. Smith originally start with on Monday morning?(Disregard the \( \$ \operatorname{sign} \)
when gridding your answer.
Subject: Maths
The solution set of the equation \( \sin ^{-1} \sqrt{1-x^{2}}+\cos ^{-1} x= \)
\( \cot ^{-1} \frac{\sqrt{1-x^{2}}}{x}-\sin ^{-1} x \) is?
\( \mathbf{A} \cdot[-1,1]-\{0\} \)
в. (0,1]\( \cup\{-1\} \)
c. [-1,0)\( \cup\{1\} \)
D. [-1,1]
Subject: Physics
A rigid body is made of three identical uniform thin rods each of length \( \boldsymbol{L} \)
fastened together in the form of letter
H. The body is free to rotate about a
fixed horizontal axis \( A B \) that passes
through one of the legs of the \( \boldsymbol{H} \). The
body is allowed to fall from rest from a
position in which the plane of \( \boldsymbol{H} \) is
horizontal. What is the angular speed of
the body, when the plane of \( \boldsymbol{H} \) is
vertical.
Subject: Physics
\( \operatorname{Given} \overrightarrow{\boldsymbol{F}}=(4 \hat{\boldsymbol{i}}-10 \hat{\boldsymbol{j}}) \) and \( \overrightarrow{\boldsymbol{r}}= \)
\( (5 \hat{i}-3 \hat{j}) . \) Then torque \( \vec{\tau} \) is
\( \mathbf{A} \cdot-62 \hat{j} \)
в. \( 62 \hat{k} \)
\( c .38 \hat{i} \)
D. \( -38 \hat{k} \)
Subject: Physics
In the figure magnetic field points into the plane of paper and the conducting
rod of length \( l \) is moving in this field
such that the lowest point has a velocity
\( \boldsymbol{v}_{1} \) and the topmost point has the
velocity \( v_{2}\left(v_{2}>v_{1}\right) . \) The emf induced is
given by:
\[
\begin{array}{cccc}
x & x & x & x \\
x & x & x_{2} & x \\
x & x & x & x \\
x & \vec{x} & v_{1} & x & x
\end{array}
\]
\( \mathbf{A} \cdot B v_{1} l \)
B. \( B v_{2} l \)
\( c \)
\[
\frac{1}{2} B\left(v_{2}+v_{1}\right) l
\]
D.
\[
\frac{1}{2} B\left(v_{2}-v_{1}\right) l
\]
Subject: Chemistry
Which of the following option is the
correct order for the basic strength of
metallic hydroxides?
\( \mathbf{A} \cdot C a(O H)_{2}<A l(O H)_{3}<L u(O H)_{3}<C e(O H)_{3} \)
B. \( A l(O H)_{3}<L u(O H)_{3}<C e(O H)_{3}<C a(O H)_{2} \)
\( \mathbf{c} \cdot L u(O H)_{3}<\operatorname{Ce}(O H)_{3}<A l(O H)_{3}<C a(O H)_{2} \)
D \( \cdot L u(O H)_{3}<C e(O H)_{3}<C a(O H)_{2}<A l(O H)_{3} \)
Subject: Physics
A current of \( 0.01 \mathrm{mA} \) passes through the potentiometer wire of a resistivity of
\( 10^{9} \Omega \mathrm{cm} \) and area of cross-section
\( 10^{-2} \mathrm{cm}^{2} . \) The potential gradient is
A \( \cdot 10^{9} V / m \)
В. \( 10^{11} V / m \)
\( \mathbf{c} \cdot 10^{10} V / m \)
D. \( 10^{8} V / m \)
Subject: Biology
Assertion
The lungs are situated in thoracic chamber which is anatomically an airtight chamber.
Reason
Such an arrangement is essential to avoid any change in pulmonary volume.
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
In an irreversible process, system goes from an initial state \( A \) to a final state \( B \)
Which of the following is true?
A. Work done from state A to state B is zero
B. Heat required from state A to state B is non-zero
c. Heat required from state A to state B and back to state \( A \) is non-zero.
D. Heat required from state A to state B and back to state A may be non-zero
Subject: Physics
A tennis ball hits a vertically well horizontally at \( 10 \mathrm{m} / \mathrm{s} \) bounces back at
\( 10 m / s \)
A \( \cdot \) There is no acceleration because \( 10 \frac{20 m}{s}-10 \frac{20 m}{s}=0 \)
B. There may be an acceleration becouse its initial direction is horizontal
C. There is an acceleration because there is a momentum change
D. Even through there is no change in momentum there is a change in direction. hence it has an acceleration
Subject: Chemistry
How many moles of \( N H_{3} \) are there in
\( 250 \mathrm{cm}^{3} \) of a \( 30 \% \) solution, the specific
gravity of which is \( 0.90 ? \)
A . 3.97 moles
B. 6.37 moles
c. 3.70 moles
D. 3.50 moles
Subject: Physics
In the figure shown, coefficient or restitution between \( A \) and \( B \) is \( e=\frac{1}{2} \)
then
This question has multiple correct options
A \cdot velocity of B after collision is \( \frac{v}{2} \)
B. Impulse between two during collision is \( \frac{3}{4} m v \)
c. Loss of kinetic energy during the collision is \( \frac{3}{16} m v^{2} \)
D. Loss of kinetic energy during the collision is \( \frac{1}{4} m v^{2} \)
Subject: Maths
If \( \hat{a}, \hat{b}, \hat{c} \) are unit vectors such that \( \hat{a} \cdot \hat{b}=0=\hat{a} \cdot \hat{c} \) and the angle between \( \hat{b} \)
and \( \hat{c} \) is \( \pi / 3, \) then the value of \( |\hat{\boldsymbol{a}} \times \hat{\boldsymbol{b}}-\hat{\boldsymbol{a}} \times \hat{\boldsymbol{c}}| \)
A . \( 1 / 2 \)
B. 1
\( c \cdot 2 \)
D. none of these
Subject: Chemistry
A copper rod and \( A l \) rod are placed in
conc. \( H N O_{3} \) in separate containers.
Which of the following observations are found after some time?
A. Copper rod and Aluminium rod continue to deteriorate at the same rate.
B. Copper rod continues to deteriorate while aluminium rod deteriorates initially then stops
c. There is no deterioration in either copper rod or aluminium rod
D. Aluminium rod continues to deteriorate while copper rod deteriorates initially and then stops
Subject: Maths
If \( f(x) \) is continuous for \( 0 \leq x<\infty \)
then the most suitable values of \( a \) and \( b \)
are
A \( . a=1, b=-1 \)
B. \( a=-1, b=1+\sqrt{2} \)
c. \( a=-1, b=1 \)
D. none of these