AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
A student tested the \( p H \) of distilled
water and found that the colour of \( p H \) paper changed to green. He checked the \( p H \) again after dissolving a pinch of
common salt in water. The colour of the
\( \boldsymbol{p} \boldsymbol{H} \) paper this time was:
A. green
B. yellow
c. red
D. blue
Subject: Biology
Which of the following statements
regarding metabolic pathways is incorrect?
A. Many of the steps of glycolysis can run in reverse
B. Starch, sucrose or glycogen must be hydrolysed before it can enter the glycolysis.
C. After fats are digested, glycerol enters glycolysis by forming DHAP.
D. After fat digestion, fatty acids can no longer participate in cellular respiration.
Subject: Maths
The function \( \boldsymbol{f}:[\mathbf{2}, \infty) \rightarrow \boldsymbol{Y} \) defined by
\( f(x)=x^{2}-4 x+5 \) is one-one if (more
than one option can be correct)
A. \( Y=R \)
B. \( Y=[1, \infty) \)
c. \( Y=[0, \infty) \)
D. \( Y=[-1, \infty) \)
Subject: Chemistry
\( \boldsymbol{C u}\left|\boldsymbol{C u}^{+2}(\mathbf{1} \boldsymbol{M})\right|\left|\boldsymbol{Z} \boldsymbol{n}^{+2}(\mathbf{1} \boldsymbol{M})\right| \boldsymbol{Z} \boldsymbol{n} \)
A cell represented above should have
emf:
A. positive
B. negative
c. zero
D. cannot be predicted
Subject: Chemistry
\( \boldsymbol{C H} \boldsymbol{C l}_{3}+\boldsymbol{O H}^{-} \rightarrow \boldsymbol{H} \boldsymbol{C O O} \)
Intermediate of this reaction can be:
A. \( C C l_{3} \)
в. \( C C l_{2} \)
c. both of these
D. none of these
Subject: Chemistry
Match column A with column B and
select the correct option:
Column A
(Ore) Column B
(Nature of
ore)
(a)
\( (b) \)
(a) Copper
glance
\( (c) \)
\( b(i i), c(i i i), d(i v) \)
\( \mathbf{A} \cdot \mathbf{a}(\mathbf{i}) \)
,
B. \( a(\text { iv }), b(\text { ii) }, c(\text { iii), } d(i) \)
\( \mathbf{c} \cdot \mathbf{a}(\text { iii }), b(\text { iv }), c(\text { ii }), d(i) \)
D. \( a(\text { iv }), b(i), c(i i), d(\text { iii }) \)
Subject: Maths
If \( P(x), q(x) \) and \( r(x) \) are three polynomials of degree 2 , then prove that
\[
\left|\begin{array}{lll}
\boldsymbol{p}(\boldsymbol{x}) & \boldsymbol{q}(\boldsymbol{x}) & \boldsymbol{r}(\boldsymbol{x}) \\
\boldsymbol{p}^{\prime}(\boldsymbol{x}) & \boldsymbol{q}^{\prime}(\boldsymbol{x}) & \boldsymbol{r}^{\prime}(\boldsymbol{x}) \\
\boldsymbol{p}^{\prime \prime}(\boldsymbol{x}) & \boldsymbol{q}^{\prime \prime}(\boldsymbol{x}) & \boldsymbol{r}^{\prime \prime}(\boldsymbol{x})
\end{array}\right| \text { is independent }
\]
of \( X \)
Subject: Chemistry
For the standardization of \( B a(O H)_{2} \) solution, 0.204 g of potassium acid phthalate was weighed which was then
titrated with \( B a(O H)_{2} \) solution. The titration indicated equivalence at 25.0
\( \mathrm{ml} \) of \( B a(O H)_{2} \) solution. The reaction involved is:
\( \boldsymbol{K} \boldsymbol{H} \boldsymbol{C}_{8} \boldsymbol{H}_{4} \boldsymbol{O}_{4}+\boldsymbol{B} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{2} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+ \)
\( \boldsymbol{K}^{+}+\boldsymbol{B} \boldsymbol{a}^{2+}+\boldsymbol{C}_{8} \boldsymbol{H}_{4} \boldsymbol{O}_{4}^{2-} \)
The molarity of the base solution is \( (K= \)
39)
A. \( 0.04 \mathrm{M} \)
в. о.озм
c. о.о२м
D. 0.01M
Subject: Maths
n figure, \( A B, C D \) and \( E F \) are three
parallel lines. If \( 4 y=5 x \) and \( z=y-30 \)
find \( \angle q \)
\( A \cdot 120 \)
В. \( 110^{\circ} \)
\( c \cdot 100 \)
D. 90
Subject: Chemistry
An organic compound \( (A) \) of molecular
formula \( C_{2} H_{5} N O \) reacts with
\( B r_{2} / N a O H \) to give compound \( (B) \) of molecular formula \( \boldsymbol{C} \boldsymbol{H}_{5} \boldsymbol{N} .(\boldsymbol{A}) \) is
reduced by \( L i A l H_{4} \) to give cmpound
\( (C) \) of formula \( C_{2} H_{7} N . \) Identify \( (A),(B) \) and \( (C) \)
Subject: Chemistry
State True or False.
For hydrogen atom, the energies of the sub-shells \( 4 s, 4 p, 4 d \) and \( 4 f \) are in the
order: \( 4 \boldsymbol{f}>\mathbf{4} \boldsymbol{d}>\mathbf{4} \boldsymbol{p}>\mathbf{4} \boldsymbol{s} \)
A . True
B. False
Subject: Maths
In a series of \( 2 n \) observations, half of
them equal \( a \) and remaining half equal
\( -a . \) If the \( S . D . \) of the observations is 2
then \( |a| \) equals
A \( \cdot \frac{1}{n} \)
B. \( \sqrt{2} \)
\( c \cdot 2 \)
D. \( \frac{\sqrt{2}}{n} \)
Subject: Chemistry
The enthalpy of formation of ammonia
is \( -46.0 K J \) mol \( ^{-1} . \) The enthalpy
change for the reaction \( 2 N H_{3}(g) \rightarrow \)
\( N_{2}(g)+3 H_{2}(g) \) is:
A \( .46 .0 K J \) mol\( ^{-1} \)
B. \( 92.0 K J \) mol\( ^{-1} \)
c. \( -23.0 \mathrm{KJ} \mathrm{mol}^{-1} \)
D. \( -92.0 K J \) mol\( ^{-1} \)
Subject: Biology
What role is performed by pancreas in
order to deal with an increased blood
glucose level above normal range?
A. Releases insulin, signaling muscle cells to release glucose
B. Releases glucagon, signaling muscle cells to take up glucose
C. Releases glucagon, signaling adipose cells to take up glucose
D. Releases insulin, signaling the liver to convert glucose to glycogen
E. Releases glucagon, signaling the liver to convert glucose to glycogen
Subject: Biology
All of the following statements are
regarding sieve tube elements that are
true except
A. Their end walls have perforated sieve plates which become impregnated with lignin at maturity.
B. They possess a peripheral cytoplasm as well as a large vacuole.
C. Distinct proteinaceous inclusions, the P-proteins are seen evenly distributed throughout the lumen.
D. Long, slender, tube-like structures arranged in longitudinal series.
E. They are devoid of nucleus at maturity.
Subject: Maths
Order from least to greatest:
\( \frac{\frac{3}{5}}{\frac{8}{10}}, \frac{0.00751}{0.01}, \frac{200}{3} \times 10^{-2} \)
A \( \cdot \frac{0.00751}{0.01}<\frac{3}{10}<\frac{200}{3} \times 10^{-2} \)
В. \( \frac{0.00751}{0.01}<\frac{200}{3} \times 10^{-2}<\frac{3}{10} \)
с. \( \frac{200}{3} \times 10^{-2}<\frac{\frac{3}{5}}{\frac{8}{10}}<\frac{0.00751}{0.01} \)
D. \( -\frac{0.00751}{0.01}<\frac{200}{3} \times 10^{-2} \)
\( \frac{\frac{8}{10}}{0} \)
Subject: Physics
The correct formula for the angular
frequency \( \omega_{0} \) of an \( L-C \) resonant
circuit is
A \( \cdot \frac{1}{\sqrt{L C}} \)
B . \( \sqrt{L C} \)
c. \( \frac{1}{2 \pi \sqrt{L C}} \)
D. \( \frac{1}{2 \pi L C} \)
Subject: Maths
If \( \left|z_{1}-1\right| \leq 1,\left|z_{2}-2\right| \leq 2,\left|z_{3}-3\right| \leq 3 \)
then find the greatest value of
\( \left|z_{1}+z_{2}+z_{3}\right| \)
A. the greatest value is 6
B. the greatest value is 7 .
c. the greatest value is \( 9 . \)
D. the greatest value is 12
Subject: Physics
The equation of displacement of a particle executing SHM is \( \boldsymbol{x}= \) \( 0.40 \cos (2000 t+18) . \) The frequency of
the particle is
\( \mathbf{A} \cdot 10^{3} \mathrm{Hz} \)
B. \( 20 \mathrm{Hz} \)
c. \( 2 \times 10^{3} \mathrm{Hz} \)
D. \( \frac{10^{3}}{\pi} \mathrm{Hz} \)
Subject: Chemistry
Match column-I (chemical composition of precipitates) with column-II (colour of the precipitate) and select the correct answer using the codes given below in the columns:
\( (a) C o\left[H g(S C N)_{4}\right] \)
(p) black
(b) \( \boldsymbol{F e}_{3}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right]_{2} \)
(q) rosy red
\( (c) N i(d m g)_{2} \)
(r) prussian
blue
(d) PbS
(s) deep blue
\( A \cdot a-s, b-p, c-q, d-r \)
B. a-s, b-r, c-q, d-p
c. \( a-s, b-p, c-r, d-q \)
D. a-p , b-r, c-q, d-s
E. a-p, b-q,c-r, d-s
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{a}(\boldsymbol{\theta}-\sin \theta) \) and \( \boldsymbol{y}=\boldsymbol{a}(\boldsymbol{1}+\cos \boldsymbol{\theta}) \)
then \( \frac{d y}{d x} \) is
A . \( \cot \theta \)
B. \( \cot \frac{\theta}{2} \)
\( c \cdot-\cot \frac{\theta}{2} \)
D. none of these
Subject: Physics
Drift velocity \( v_{a} \) varies with the intensity
of elastic filed as per the relation:
A \( \cdot v_{a} \) is directly proportionate to
B. \( v_{a} \) is inversely proportionate to E
\( \mathbf{c} \cdot v_{a} \) is constant
D. \( v_{a} \) is directly proportional to \( E^{2} \)
Subject: Physics
Q Type your question
Inglictic ilciu I mu
paper.Wire \( C D \) is in the shape of an arc
and is fixed. \( O A \) and \( O B \) are the wires
rotating with angular velocity \( \omega \) as
shown in the figure in the same plane
as that of the arc about point \( O . \) If at
some instant, \( O A=O B=1 \) and each
wire makes angle \( \theta=30^{\circ} \) with \( y \) -axis,
then the current through resistance \( \boldsymbol{R} \)
is (wire \( O A \) and \( O B \) have no
resistance)
A . 0
B. \( \frac{B \omega l^{2}}{R} \)
c. \( \frac{B \omega l^{2}}{2 R} \)
D. \( \frac{B \omega l^{2}}{4 R} \)
E . answer
Subject: Physics
The equivalent capacitance between
points a and b in given arrangement of plates will be:(each plate has the area
'A' \( \& \) separation between two adjacent plates is 'd')
A \( \cdot \frac{2}{3} \frac{\varepsilon_{o} A}{d} \)
B \( \cdot \frac{3}{2} \frac{\varepsilon_{o} A}{d} \)
c. \( \frac{2 \varepsilon_{o} A}{d} \)
D. \( \frac{\varepsilon_{o} A}{3 d} \)
Subject: Physics
The audible range in humans is
\( \mathbf{A} \cdot 20 H z \) to \( 2000 H z \)
B. \( 200 H z \) to \( 20,000 H z \)
c. \( 20 H z \) to \( 20,000 H z \)
D. \( 200 H z \) to \( 20 k H z \)
Subject: Physics
Match the elements of table I and II.
\begin{tabular}{ll} 
Table I & table II \\
a) Myopia & i) Bifocal len \\
b) Hypermetropia & ii) Cylindrical lens \\
c) Presbyopia & iii) Concave lens \\
d) Astigmation & iv) Convex lens \\
\hline
\end{tabular}
\( A \cdot a- \) iii, b - iv, c-i, d -ii
B. a - iv, b - iii, c-i, d- i i
\( c \cdot a-i, b-i i, c-i i i, d-i v \)
D. a - ii, b - iv, c-i, d- iii
Subject: Physics
The adiabatic and isothermal volume
elasticities \( E_{\phi} \) and \( E_{\theta} \) of a gas, are
related as
\( ^{\mathbf{A}} \cdot \frac{E_{\phi}}{E_{\theta}}=\gamma \)
в. \( \frac{E_{\theta}}{E_{\phi}}=\gamma \)
c. \( E_{\phi}-E_{\theta}=\gamma \)
D. \( E_{\theta}-E_{\phi}=\gamma \)
Subject: Physics
Phase difference at the central point changes by \( \pi / 3 \) when a thick film having refractive index 1.5 and
thickness \( 0.4 \mu m \) is placed in front of
upper slit of a YDSE setup. If the wavelength (in \( n m \) ) of the light used is \( 600 \mathrm{k}, \) find \( \mathrm{k} \)
Subject: Maths
Number of ordered pair(s) \( (a, b) \) of real numbers such that \( (\boldsymbol{a}+\boldsymbol{i} \boldsymbol{b})^{2008}=\boldsymbol{a}- \)
ib holds good, is?
A . 2008
B. 2009
\( c .2010 \)
D. 2011
Subject: Maths
Form an equation \( a x^{2}+b x y+c y^{2} \) by
subtracting the sum of \( x^{2}-5 x y+2 y^{2} \)
and \( y^{2}-2 x y-3 x^{2} \) from the sum of
\( 6 x^{2}-8 x y-y^{2} \) and \( 2 x y-2 y^{2}-x^{2} \)
Find \( \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c} \)
Subject: Physics
Inspite of mutual repulsion between the
protons and no electric force between
neutrons, a number of protons and
neutrons do stay together to form stable nuclei. Which of the following are
reasons for this?
1. Another type of force, called nuclear
force works between these particles
when they are very close to each other
2. The neutrons keep the protons apart so that there is no repulsion between them
3. The nuclear force is always attractive
and does not depend on the charge of
the particles
Select the correct answer from the
codes given.
\( A \cdot 2 \) and 3 only
B. 1 and 2 only
c. 1,2 and 3
D. 1 and 3 only
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cc}\frac{x^{2}-2 x-3}{x+1^{2}}, & \text { when } x \neq-1 \\ k, & \text { when } x=-1\end{array}\right. \)
If \( f(x) \) is continuous at \( x=-1 \) then
\( \boldsymbol{k}=? \)
A . 4
B. -4
c. -3
D.
Subject: Chemistry
When conc. \( H_{2} S O_{4} \) was treated with
\( \boldsymbol{K}_{4}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{6}\right], \boldsymbol{C} \boldsymbol{O} \) gas was evolved. By
mistake, somebody used dilute \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
instead of conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) then the gas
evolved was:
A. \( C O \)
в. \( H C N \)
c. \( N_{2} \)
D. \( C O_{2} \)
Subject: Physics
Assertion
Bluish colour predominates in a clear
sky, since blue has a shorter wavelength and is scattered strongly.
Reason
Blue has the shortest wavelength among all colours.
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
Table 1
Table - 2
(a) Potential difference across battery
\( A \quad(p) A \)
(b) Potential difference across battery
\( B \quad(q) B \)
(c) Power is supplied by battery
\( (r) 14 V \)
(d) Power is consumed by battery
\( (s) 9 V \)
none
\( A \cdot a-p ; b-p ; c-q ; d-r \)
B. \( a-q ; b-q ; c-r ; d-s \)
\( c \cdot a-r, b-t, c-p, d-q \)
\( D \cdot a-r ; b-r ; c-s ; d-t \)
Subject: Chemistry
Which of the following molecules are expected to exhibit intermolecular \( \mathrm{H} \)
bonding?
I. Acetic acid
Il. o-nitrophenol
III. m-nitrophenol
IV. o-boric acid
\( \mathbf{A} \cdot \) ।, ॥।, ॥ ।
B. ।, ॥।, IV
c. ।, ॥ा, ।V
D. II, III, IV
Subject: Physics
Consider an equiconvex lens of radius
of curvature \( \boldsymbol{R} \) and focal length \( \boldsymbol{f} \). If \( \boldsymbol{f}> \)
\( R, \) the refractive index \( \mu \) of the material
of the lens.
A. Is greater than zero but less than 1.5
B. Is greater than 1.5 but less than 2.0
c. Is greater than 1.0 but less than 1.5
D. None of these
Subject: Physics
A column of \( \mathrm{Hg} \) of \( 10 \mathrm{cm} \) length is contained in the middle of a narrow
horizontal \( 1 \mathrm{m} \) long tube which is closed at both ends. Both the halves of the tube
contain air at a pressure \( 76 \mathrm{cm} \) of Hg. The distance of the column of Hg be
displaced if the tube is held vertically is
A. 3 cms
B. 2 cms
c. \( 4 \mathrm{cms} \)
D. \( 1 \mathrm{cm} \)
Subject: Chemistry
Assertion
Moles of KMnO4 required for oxidation of Fe2 in acidic and basic medium will
be different.
Reason
Final oxidation state to which M will be
reduced will be different in case of
acidic and basic medium.
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
a. A cylinder of gas is assumed to contain \( 11.2 k g \) of butane. If a normal
family needs \( 20000 k J \) of energy per day for cooking, how long will the cylinder last? Given that the heat of combustion
of butane is \( 2658 k J \quad m o l^{-1} \)
b. If the air supply of the burner is insufficient (i.e. you have a yellow instead of blue flame), a portion of the
gas escapes without combustion.
Assuming that \( 30 \% \) of the gas is wasted due to this inefficiency, how
long would the cylinder last?
A. a. 26 days, b. 18 days
B. a. 17 days, b. 26 days
c. a. 16 days, b. 17 days
D. None of these
Subject: Chemistry
\( K_{C} \) for \( N_{2}+O_{2} \rightleftharpoons 2 N O \) at certain
temperature is \( 1.6 \times 10^{-3}, \) then \( K_{P} \) for
\( N O \rightleftharpoons 1 / 2 N_{2}+1 / 2 O_{2} \) at same
temperature will be:
A. \( 2 \times 10^{-2} \)
B . 25
\( c .5 \)
D. \( 1.6 \times 10^{-3} \)
Subject: Chemistry
Consider the following hydration reaction
The correct statement regarding the above reaction is (are)
\[
\langle f\rangle_{-} \mathrm{cH}=\mathrm{CD}_{2}+\operatorname{dil} . \mathrm{H}_{2} \mathrm{SO}_{4} \stackrel{\text { Heat }}{\longrightarrow} \text { Alcohol }(\mathrm{s})
\]
This question has multiple correct options
A. The product is a racemic mixture
B. The unreacted alkenes retain all deuterium atoms
c. A pure enantiomer of product is formed
D. The unreacted alkene will have some deuterium replaced by hydrogen
Subject: Chemistry
Compressibility factor for \( \boldsymbol{H}_{2} \) behaving
as real gas is :
\( A \)
В \( \cdot\left(1-\frac{a}{R T V}\right) \)
c. \( \left(1+\frac{P b}{R T}\right) \)
D. \( \frac{R T V}{(1-a)} \)
Subject: Maths
PQRS is a parallelogram. QM is the
height from \( Q \) to \( S R \) and \( Q N \) is the height
from \( Q \) to PS. If \( S R=12 c m \) and \( Q M=7.6 \)
\( \mathrm{cm} . \) Find the area of the parallelogram
PQRS.
Subject: Maths
A solution of \( 8 \% \) boric acid is to be
diluted by adding a \( 2 \% \) boric acid solution to it. The resulting mixture is to be more than \( 4 \% \) but less than \( 6 \% \)
boric acid. If we have 640 litres of the
\( 8 \% \) solution, how many litres of the \( 2 \% \) solution will have to be added?
Subject: Maths
The graph above shows the number of
units sold in 2015 for five different
video games console. The price of
consoles \( A, B, C, D, \) and \( E \) are \( \$ 100, \) \( \$ 150, \$ 200, \$ 250, \) and \( \$ 300 \)
respectively. Which of the five consoles generated the most total revenue?
A . \( A \)
в. \( B \)
\( c . D \)
\( D \)
Subject: Maths
\( \operatorname{Let} \mathbf{h}(\mathbf{x})=\mathbf{f}(\mathbf{x})-[\mathbf{f}(\mathbf{x})]^{2}+[\mathbf{f}(\mathbf{x})]^{3} \) for
every real number x then
A. h is increasing whenever fis increasing
B. h is increasing whenever f is decreasing
c. \( h \) is decreasing whenever \( f \) is increasing
D. Nothing can be said in general
Subject: Physics
What percent of length of a wire will
increase by applying a stress of \( 1 k g \)
wt/mm on it.
\( \left[Y=1 \times 10^{11} \mathrm{Nm}^{-2} \text {and } 1 k g w t=9.8 \mathrm{N}\right] \)
A. \( 0.0078 \% \)
в. \( 0.0088 \% \)
c. \( 0.0098 \% \)
D. \( 0.0067 \% \)
Subject: Physics
Assertion: V-t graph for gas at constant pressure is a straight line passing through origin (t-temperature in Celsius) Reason: volume is directly proportional to temperature (kelvin) at constant
pressure.
\( A \). Both assertion
(A) and reason
(R) are correct and gives the correct explanation
B. Both assertion (A) and reason
(R) are correct but \( R \) doesnt give the correct explanation
c. A is true but R is false
D. A is false but R is true
Subject: Physics
Two wires of resistance \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} \) at
\( 0^{\circ} C \) have temperature coefficient of
resistance \( \alpha_{1} \) and \( \alpha_{2}, \) respectively. These are joined in series. The effective temperature coefficient of resistance is
:-
A \( \cdot \frac{\alpha_{1}+\alpha_{2}}{2} \)
в. \( \sqrt{\alpha_{1} \alpha_{2}} \)
c. \( \frac{\alpha_{1} R_{1}+\alpha_{2} R_{2}}{R_{1}+R_{2}} \)
D. \( \frac{\sqrt{R_{2} R_{1} \alpha_{1} \alpha_{2}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}} \)
Subject: Physics
An \( \alpha \) particle is moving along a circle of radius \( R \) with a constant angular velocity \( \omega . \) Point \( A \) lies in the same
plane at a distance \( 2 R \) from the centre.
Point \( A \) records magnetic
field produced by \( \alpha \) particle. If the minimum time interval between two successive times at which \( A \) records
zero magnetic field is \( ^{\prime} t^{\prime}, \) the angular
speed \( \omega, \) in terms of \( t \) is
A \( \cdot \frac{2 \pi}{t} \)
в. \( \frac{2 \pi}{3 t} \)
c. \( \frac{\pi}{3 t} \)
D. \( \frac{\pi}{t} \)
Subject: Physics
In the circuit shown (fig), the coil has inductance and resistance. When X is
joined to \( Y \), the time constant is \( \tau \) during the growth of current. When the
steady state is reached, heat is
produced in the coil at a rate P. \( X \) is now joined to Z. After joining \( X \) and \( Z \)
A. the total heat produced in the coil is \( P \tau \)
B. the total heat produced in the coil is \( \frac{1}{2} P \tau \)
\( c . \) the total heat produced in the coil is \( 2 P \tau \)
D. the data given are not sufficient to reach a conclusion
Subject: Chemistry
\( S_{N} 1 \& S_{N} 2 \) is not favourable in:
This question has multiple correct options
A \( \cdot H_{2} C=C H-C l \)
в. \( P h-C h_{2}-C l \)
c. \( P h-C l \)
D. \( H_{2} C=C H-C H_{2}-C l \)
Subject: Physics
If strength of magnetic field \( \bar{B}=2 \hat{i}+ \) \( \hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \) and area vector is \( \overline{\boldsymbol{A}}=\mathbf{3} \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}} \)
then find the magnetic flux link with
area vector
A. 4 weber
B. 6 weber
c. 7 weber
D. 5 weber
Subject: Maths
Equation of the tangent at (4,4) on \( x^{2}= \)
4y is
A. \( 2 x+y+4=0 \)
В. \( 2 x-y-4=0 \)
c. \( 2 x+y-12=0 \)
D. \( 2 x+y+12=0 \)
Subject: Maths
If \( f(x) \) is a polynomial of degree \( n(>2) \)
and \( f(x)=f(k-x), \) (where \( k \) is a
fixed real number), then degree of \( \boldsymbol{f}^{\prime}(\boldsymbol{x}) \)
is
\( A \)
B. \( n-1 \)
\( \mathbf{c} \cdot n-2 \)
D. None of these
Subject: Maths
n \( \triangle A B C, \angle A B C=90^{\circ}, B D \perp A C \) If
\( \boldsymbol{B} \boldsymbol{D}=\boldsymbol{8} \mathbf{c m}, \boldsymbol{A} \boldsymbol{D}=\boldsymbol{4} \mathrm{cm}, \) find \( \boldsymbol{C} \boldsymbol{D} \)
Subject: Physics
A body is projected vertically upwards. The times corresponding to height \( h \) while ascending and while descending
are \( t_{1} \) and \( t_{2} \) respectively. Then the
velocity of projection is \( (g \) is acceleration due to gravity)
A. \( g \sqrt{t_{1} t_{2}} \)
an \( t_{2} \)
в. \( \frac{g t_{1} t_{2}}{t_{1}+t_{2}} \)
c. \( \frac{g \sqrt{t_{1} t_{2}}}{2} \)
D. \( \frac{g\left(t_{1}+t_{2}\right)}{2} \)
Subject: Maths
If \( \int_{0}^{\pi} \ln \sin x d x=k, \) then the value of
\( \int_{0}^{\pi / 4} \ln (1+\tan x) d x \) is:
A \( \cdot-\frac{k}{4} \)
в. \( \frac{k}{4} \)
\( c \cdot-\frac{k}{8} \)
D. None of these
Subject: Physics
An extremely long wire is uniformly charged. An electron is revolving around the wire and making \( 10^{8} \) revolutions per
second in an orbit of radius \( 2 \mathrm{cm} \). Linear
charge density of the wire is nearly?
A. \( 50 n C / m \)
B. \( 25 n C / m \)
c. \( 40 n C / m \)
D. \( 12.5 n C / m \)
Subject: Chemistry
Of the following transitions in the hydrogen atom, the one which gives an absorption line of maximum wavelength is:
A \( n=1 \) to \( n=2 \)
2
в. \( n=3 \) to \( n=8 \)
c. \( n=2 \) to \( n=1 \)
D. \( n=8 \) to \( n=3 \)
Subject: Chemistry
Which of the following hydrogen like species will have same radius as that of
a Bohr orbit of hydrogen atom?
A \( \cdot n=2, L i^{2+} \)
B . \( n=2, B e^{3+} \)
C \( \cdot \mathrm{n}=2, \mathrm{He}^{+} \)
D. \( n=3, L i^{2+} \)
Subject: Maths
The value of \( \cos \left(36^{\circ}-A\right) \cos \left(36^{\circ}+\right. \)
\( A)+\cos \left(54^{\circ}+A\right) \cos \left(54^{\circ}-A\right) \) is?
\( \mathbf{A} \cdot \sin 2 A \)
B. \( \cos 2 A \)
\( c \cdot \cos 3 A \)
\( \mathbf{D} \cdot \sin 3 A \)
Subject: Physics
The fractional change in the volume of oil is 1 percent when a pressure of \( 2 \times 10 \)
\( 7 \mathrm{N} / \mathrm{m}^{2} \) is applied. The bulk modulus and its compressibility is :
A \( \cdot 3 \times 10^{8} \mathrm{N} / \mathrm{m}^{2}, 0.33 \times 10^{-9} \mathrm{m}^{2} / \mathrm{N} \)
B. \( 5 \times 10^{9} \mathrm{N} / \mathrm{m}^{2}, 2 \times 10^{-10} \mathrm{m}^{2} / \mathrm{N} \)
c. \( 2 \times 10^{9} \mathrm{N} / \mathrm{m}^{2}, 5 \times 10^{-10} \mathrm{m}^{2} / \mathrm{N} \)
D. 3 \( \times 10^{+9} \mathrm{N} / \mathrm{m}^{2}, 5 \times 10^{-9} \mathrm{m}^{2} / \mathrm{N} \)
Subject: Physics
Two blocks of masses \( \mathrm{m} \) and \( \mathrm{M} \) are
connected by means of a metal wire passing over a frictionless fixed pulley. The area of a cross-section of the wire is
\( 6.5 \times 10^{-9} m^{2} \) and its breaking stress is
\( 2 \times 10^{9} N m^{-2} . \) If \( m=1 \mathrm{kg}, \) then calculate
the maximum value of \( \mathrm{M}\left(\mathrm{g}=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 5
Subject: Physics
A series battery of six lead accumulators, each of emf \( 2.0 \mathrm{V} \) and
internal resistance \( 0.50 \Omega \) is charged by
a \( 100 \mathrm{V} \) dc supply. The series resistance should be used in the charging circuit in order to limit the current to
8.0A is
A . \( 4 \Omega \)
B. \( 6 \Omega \)
\( c .8 \Omega \)
D. \( 10 \Omega \)