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The cost of a refrigerator is \( R s .9000 . \) Its
value depreciates at the rate of \( 5 \% \) every year. The total depreciation in its value at the end of 2 years 877.5
A. True
B. False | 2 | Maths |
Explain Huygen's construction of spherical wavefront | 3 | Physics |
A material has Poisson's ratio 0.5 . if a
uniform rod of it suffers a longitudinal
strain of \( 2 \times 10^{3}, \) then the percentage
change in volume is
A . 0.6
B. 0.4
\( c .0 .2 \)
D. zero | 3 | Physics |
The melting point of \( M g C l_{2} \) is greater
than that of \( B a C l_{2} \). Give reason? | 1 | Chemistry |
Pictured above are four disks rotating
counter-clockwise (as viewed from
above) at a constant speed. Which disk
is experiencing greatest acceleration?
A. green
B. red
c. blue
D. yellow
E. All disks are experiencing the same acceleration | 3 | Physics |
For the situation shown in figure, match the entries of Column I with Column II.
Assume thickness of films to be very
small compared towavelenght of incident light. | 3 | Physics |
A ray of light is incident on the plane mirror at rest. The mirror starts turning
at a uniform acceleration of \( 2 \pi r a d / s^{2} \) about an axis in plane of mirror. The reflected ray at the end of \( \frac{1}{4} \) s must have turned through:
A . 90
B. 45
c. 22.5
D. 11.25 | 3 | Physics |
\[
\begin{aligned}
\operatorname{Let} x &=111 \ldots 11(20 \text { digits }) \\
y &=333 \ldots 33(10 \text { digits }) \\
\text { and } z &=222 \ldots 22(10 \text { digits })
\end{aligned}
\]
The value of \( \frac{\boldsymbol{x}-\boldsymbol{y}^{2}}{\boldsymbol{z}} \) | 2 | Maths |
If a planet of given density were made larger, its force of attraction for an object on its surface would increase
because of the greater distance from the object to the centre of the planet. Which effect predominates? | 3 | Physics |
Two liquids \( X \) and \( Y \) from an ideal
solution. At \( 300 K, \) a vapour pressure of
the solution containing 1 mol of \( X \) and
3 mol of \( Y \) is 550 mm \( H g . \) At the same
temperature, if 1 mol of \( Y \) is further
added to this solution, a vapour
pressure of the solution increased by 10
mm Hg. Vapour pressure ( in mmHg) of
\( X \) and \( Y \) in their pure states will be
respectively:
A. 300 and 400
B. 400 and 600
c. 500 and 600
D. 200 and 300 | 1 | Chemistry |
Distinguish between centre of mass and centre of gravity? | 3 | Physics |
Fill in the blanks:
The process of loss of an electron is known as
A. oxidation
B. reduction
c. enthalphy
D. entropy | 1 | Chemistry |
The area bounded by the two curves \( \boldsymbol{y}=\sin \boldsymbol{x}, \boldsymbol{y}=\cos \boldsymbol{x} \) and the X-axis in
the first quadrant \( \left[0, \frac{\pi}{2}\right] \) is
A \( .2-\sqrt{2} \) sq. units
B . \( 2+\sqrt{2} \) sq. units
c. \( 2(\sqrt{2}-1) \) sq. units
D. 4 sq. units | 2 | Maths |
Which joint is more flexible in males than females?
A. Public symphysis
B. Deltoid ridge
c. Deltoid tuberosity
D. sacroiliac joint | 0 | Biology |
The tremendous pressure exerted by air can be demonstrated by :
A. crushing can experiment
B. Hydraulic press
c. Altimeter
D. All | 3 | Physics |
The coefficient of volume expansion of mercury is \( 5.4 \times 10^{-4} \) o \( C . \) What is the
fractional change in its density for a
\( 80^{\circ} \mathrm{C} \) rise in temperature? | 3 | Physics |
As we move from left to right in a period, which of the periodic properties decreases?
This question has multiple correct options
A. electronegativity
B. atomic size
c. electropositivity
D. metallic character | 1 | Chemistry |
State whether true or false:
Bakelite is the first synthetic thermosetting plastics.
A. True
B. False | 1 | Chemistry |
If \( \boldsymbol{y}=\log \sqrt{\frac{1-\cos 3 x}{1+\cos 3 x}}, \) find \( \frac{d y}{d x} \) | 2 | Maths |
\( H_{2} O_{2} \) solution used for hair bleaching
is sold as a solution of approximately
\( 5.0 \mathrm{g} H_{2} \mathrm{O}_{2} \) per \( 100 \mathrm{mL} \) of the solution
The molecular mass of \( H_{2} O_{2} \) is \( 34 . \) The
molarity of this solution is approximately:
A \( .0 .15 M \)
B. \( 1.5 M \)
c. \( 3.0 M \)
D. 3.4 \( M \) | 1 | Chemistry |
The non-viable particulate among the following is:
A. dust
B. bacteria
c. moulds
D. fungi | 1 | Chemistry |
When 2 dice are thrown simultaneously what is the probability that there is exactly one \( 5 ? \)
A \( \cdot \frac{4}{36} \)
в. \( \frac{5}{18} \)
c. \( \frac{6}{23} \)
D. \( \frac{7}{24} \) | 2 | Maths |
Ammonia and oxygen reacts at higher
temperature as
\( 4 N H_{3}(g)+5 O_{2}(g) \rightarrow 4 N O(g)+ \)
\( \mathbf{6} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{g}) \)
In an experiment, the concentration of NO increases by \( 1.08 * \) \( 10^{-2} \) mol \( \operatorname{litr} e^{-1} \) in 3 seconds.
Calculate,
(1) rate of reaction
(2) rate of disappearance of ammonia
(3) rate of formation of water | 1 | Chemistry |
Which is used to produce smoke
screens?
A. zinc sulphide
B. Calcium phosphide
c. zinc phosphide
D. Sodium carbonate | 1 | Chemistry |
A current of \( 19.3 \mathrm{mA} \) is passed for 9375 seconds through \( 500 \mathrm{ml} \) of \( 2 \mathrm{mM} \)
\( Z n S O_{4} \) solution. If the final molarity of
\( Z n^{2+} \) is \( 0.5 \mathrm{mM} \), then the current efficiency of the source is (assume volume remains constant during this process):
A . 80\%
B. 75\%
c. 72\%
D. 65\% | 1 | Chemistry |
In a division operation the divisor is 5 times the quotient and twice the remainder. If the remainder is \( 15, \) then
what is the dividend?
A . 175
в. 185
c. 195
D. 205 | 2 | Maths |
A tank initially holds 10 lit. of fresh
water. \( A t t=0, \) a brine solution containing \( \frac{1}{2} \) kg of salt per lit. is poured into tank at a rate 1 lit/min while the
well-stirred mixture leaves the tank at
the same rate. Find the amount of salt
in a tank at a particular time
A \( \cdot-5 e^{-t}+5 \)
B. \( 5 e^{-t}+5 \)
\( \mathbf{c} \cdot 5 e^{-t}-5 \)
D. \( -5 e-5 \) | 2 | Maths |
A body subjected to three concurrent forces is found to be in equilibrium. The resultant of any two forces then will be
A. Is equal to third force
B. Is opposite to third force
c. Is collinear with the third force
D. All of these | 3 | Physics |
Hydrargyrum is the latin name of: | 1 | Chemistry |
Which of the following is NOT true for
supernova?
A. A supernova is stellar explosion.
B. Supernova can produce elements like titanium, iron, cobalt and nickel.
C. The Sun is likely to become a supernova.
D. The core collapse that causes some supernovas may result in the formation of a black hole remnant.
E. Supernovas can outshine an entire galaxy for a brief period of time. | 3 | Physics |
Cinchona bark is used to extract:
A. penicillin
B. quinine
c. sulpha drugs
D. chloromycetin | 1 | Chemistry |
Find the equivalent capacitance of three capacitors of capacitance \( 3 \mu F \)
\( 10 \mu F \) and \( 15 \mu F \) connected in (1) series
(2) parallel. | 3 | Physics |
(i) For a Searle's experiment, in the
graph shown, there are two readings a
and b that are not lying on the straight
line
(ii) Experiment is not performed
precisely
A. Both (i) and (ii) are true and (ii) is reason for (i)
B. Both (i) and (ii) are true but (ii) is not reason for (ii)
c. only (i) is true
D. only (ii) is true | 3 | Physics |
In maize, sugar, beet etc., the translocation of carbohydrate is
A. Apolar
B. Polar
c. Basipetal
D. None of the above | 0 | Biology |
Write the name of acid secreted from
sting of ant | 1 | Chemistry |
For a chemical reaction \( A \rightarrow \) Products the rate of reaction doubles when the concentration of \( A \) is increased by 4
times.
The order of reaction is:
\( A \cdot 4 \)
B. 0
\( c \cdot 1 / 2 \)
\( D \) | 1 | Chemistry |
A straight wire of length \( 50 \mathrm{cm} \) carrying
a current of \( 2.5 A \) is suspended in mid-
air by a uniform magnetic field of \( 0.5 T \)
(as shown in figure). The mass of the
wire is \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
\( \mathbf{A} \cdot 100 g m \)
В. \( 125 g m \)
\( \mathbf{c} \cdot 62.5 g m \)
D. \( 250 g m \) | 3 | Physics |
Area of region bounded by \( \boldsymbol{x}=\mathbf{0}, \boldsymbol{y}=\mathbf{0} \)
\( \boldsymbol{x}=\mathbf{2}, \boldsymbol{y}=\mathbf{2}, \boldsymbol{y} \leq \boldsymbol{e}^{x} ; \boldsymbol{y} \geq \ln \boldsymbol{x} \) is
A \( .6-4 \ln 2 \)
B. \( 4 \ln 2-2 \)
c. \( 2 \ln 2-4 \)
D. \( 6-2 \ln 2 \) | 2 | Maths |
Evaluate: \( \lim _{x \rightarrow 2}\left\{\frac{1}{x-2}-\frac{4}{x^{2}-4}\right\} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. 4
\( c \cdot \frac{1}{4} \)
D. \( -\frac{1}{4} \) | 2 | Maths |
A parallel plate capacitor is charged. If the plates are pulled apart
A. The capacitance increases
B. The potential difference increases
c. The total charge increases
D. The charge and potential difference remain the same | 3 | Physics |
Two moles of an ideal monoatomic gas
occupies a volume \( V \) at \( 27^{\circ} \mathrm{C} \). The gas expands adiabatically to a volume \( 2 \mathrm{V} \) Calculate (a) the final temperature of the gas and (b) change on its internal
energy.
B. (a) \( 195 K \) (b) 2.7 k
\( c .(a) 189 K(b) 2.7 k J \)
D. (a) \( 195 \mathrm{k} \) (b) \( -2.7 \mathrm{kJ} \) | 3 | Physics |
An oscillating circuit contains an inductor of inductance \( 10^{-6} \mathrm{H} \) and two
capacitor each of capacitance \( 5 \times 10^{-6} \)
farad connected in parallel. Then the
resonance frequency of the circuit is
A \( \cdot \frac{10^{5}}{2 \pi} \)
B. \( \frac{10^{5}}{\pi} \)
c. \( \frac{3 \times 10^{5}}{2 \pi} \)
D. \( \frac{\sqrt{2 \times 10^{5}}}{\pi} \) | 3 | Physics |
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw
the die again and if any other number comes, toss a coin. Find the conditional
probability of the event 'the coin shows a tail', given that 'at least one die shows
a 3 '. | 2 | Maths |
Let \( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}\}, \boldsymbol{B}=\{\mathbf{2}, \mathbf{3}, \mathbf{6}, \mathbf{7}\} \)
Then the number of elements in
\( (\boldsymbol{A} \times \boldsymbol{B}) \cap(\boldsymbol{B} \times \boldsymbol{A}) \) is
A . 18
B. 6
\( c \cdot 4 \)
\( D \) | 2 | Maths |
\( f\left(\frac{1+i}{1-i}\right)^{m}=1, \) then find the least positive integral value of \( \mathrm{m} \) | 2 | Maths |
Which of the following compounds will be dissociated into its constituent
ions?
This question has multiple correct options
A. Aqueous \( K C l \)
B. Solid KCl
c. Aqueous \( M g C l_{2} \)
D. solid \( M g C l_{2} \) | 1 | Chemistry |
Generally sulphide ores are concentrated by which of the following
process?
A. Hand picking
B. Washing with water
c. Leaching
D. Froth floatation | 1 | Chemistry |
State whether the given statement is
True or False :
Gauss' law is useful for the calculation
of electrostatic field when the system
doesn't possess any symmetry.
A. True
B. False | 3 | Physics |
The device used to provide electricity in the instruments of artificial satellites
is | 3 | Physics |
Which type of polynomial, the given
expression \( 5 x^{2}+x-7 \) is? | 2 | Maths |
Solve \( \int \frac{d x}{\sqrt{5 x^{2}-2 x}} \)
\( \mathbf{A} \cdot_{I}=\frac{1}{\sqrt{5}} \log \left|x-\frac{1}{5}-\frac{1}{\sqrt{5}} \sqrt{5 x^{2}-2 x}\right|+c \)
B. \( I=-\frac{1}{\sqrt{5}} \log \left|x-\frac{1}{5}+\frac{1}{\sqrt{5}} \sqrt{5 x^{2}-2 x}\right|+c \)
\( ^{\mathbf{C}} I=\frac{1}{\sqrt{5}} \log \left|x-\frac{1}{5}+\frac{1}{\sqrt{5}} \sqrt{5 x^{2}-2 x}\right|+c \)
D. None of these | 2 | Maths |
A fuel cell is:
I.A voltaic cell in which continuous supply of fuels are sent at anode to perform oxidation.
II. A voltaic cell in which fuels such as:
\( C H_{4}, H_{2} \) and \( \mathrm{CO} \) are used up at anode.
III. One which involves the reaction of
\( H_{2} O_{2} \) fuel cell such as:
Anode \( : 2 H_{2}+4 \stackrel{\ominus}{O} H \rightarrow 4 H_{2} O(l)+4 e^{-} \)
Cathode \( : O_{2}+2 H_{2} O(l)+4 e^{-} \rightarrow 4 \stackrel{\ominus}{O} H \)
IV. The efficiency of \( H_{2}-O_{2} \) fuel cell is 70
to \( 75 \% \)
A. \( I, I I I \)
в. \( I, I I I, I V \)
c. \( I, I I, I I I, I V \)
D. \( I, I I, I I I \) | 1 | Chemistry |
Which of the following is not true about
LED?
A. There are two wires (called leads) attached to an LED.
B. While connecting to a circuit, the longer lead of LED is always connected to the positive terminal of the battery.
C. While connecting to a circuit, the shorter lead of LED is always connected to the positive terminal of the battery.
D. LED can be used to detect weak current. | 1 | Chemistry |
The author of the book "The book on
game of chance" based on probability theory is-
A. J.Cardon
B. R.S.Woodwards
c. P.S.Laplace
D. P.D.Pherma | 2 | Maths |
\( \ln \) an oscillating \( L-C \) circuit in which
\( C=4.00 \mu F, \) the maximum potential
across the capacitor during the
oscillations is \( 1.50 V \) and the maximum
current through the inductor is \( 50.0 m A \)
What is the inductance \( L ? \)
\( \mathbf{A} \cdot 8.6 m H \)
в. \( 3.6 m H \)
c. \( 6.6 m H \)
D. \( 4.6 m H \) | 3 | Physics |
Describe Rutherford's atomic model | 3 | Physics |
Solve:
\( \operatorname{Tan}(\boldsymbol{A}-\boldsymbol{B})+\boldsymbol{\operatorname { T a n }}(\boldsymbol{B}-\boldsymbol{C})+ \)
\( \operatorname{Tan}(C-A) \) is equal to
A. \( \operatorname{TanA} \) TanB \( \operatorname{TanC} \)
B. CotA CotB CotC
c. \( \operatorname{Tan}(A-B) \operatorname{Tan}(B-C) \operatorname{Tan}(C-A) \)
D. | 2 | Maths |
\( \frac{1}{y} \)
\( \frac{8}{8} \)
\( x \) | 1 | Chemistry |
If \( \cos x=\tan y, \cot y=\tan z \) and
\( \cot z=\tan x ; \) then \( \sin x= \)
A. \( \frac{\sqrt{5}+1}{4} \)
B. \( \frac{\sqrt{5}-1}{4} \)
c. \( \frac{\sqrt{5}+1}{2} \)
D. \( \frac{\sqrt{5}-1}{2} \) | 2 | Maths |
Calculate the scalar product of the following vectors. Find the vector a which is collinear with
the vector \( b=\{2,-1,0\} \) if \( a \cdot b=10 \) | 2 | Maths |
Assertion
\( \mathrm{CaCO}_{3} \) is prepared by passing carbon
dioxide gas through slaked lime.
Reason
Passing excess of \( C O_{2} \) through slaked lime leads to the formation of quick
lime.
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 | 1 | Chemistry |
The potentiometer wire AB shown in the figure is \( 40 \mathrm{cm} \) long. Where should the
free end of the galvanometer be connected on AB so that the
galvanometer may show zero deflection? | 3 | Physics |
\( H-C-H \) bond angle in ethene and
ethane are \( _{-}-_{-}-_{-}- \) respectively
\( \mathbf{A} \cdot 120^{0} \) and \( 109.5^{0} \)
B. \( 180^{\circ} \) and \( 109.5^{\circ} \)
C . \( 109.5^{\circ} \) and \( 120^{\circ} \)
D. \( 120^{\circ} \) and \( 180^{\circ} \) | 1 | Chemistry |
Out of \( N i(C O)_{4}, N i(C N)_{4}^{2-} \) and
\( N i C l_{4}^{2-} \) select paramagnetic and diamagnetic.
A \( \cdot N i(C O)_{4} \) and \( N i(C N)_{4}^{2-} \) are diamagnetic
B . \( N i C l_{4}^{2-} \) is paramagnetic
c. Both (A) and
(B) Correct
D. None of these | 1 | Chemistry |
Arrange the following set of atoms in the order of increasing atomic radius:
\( \boldsymbol{F}, \boldsymbol{C l}, \boldsymbol{C}, \boldsymbol{O} \)
A. \( F, C l, O, C \)
в. \( C, O, F, C l \)
c. \( O, C, F, C l \)
D. \( F, O, C, C l \) | 1 | Chemistry |
If the number of bivalents are 8 in
metaphase I, what shall be the number of chromosomes in daughter cells after meiosis I and meiosis II respectively.
A. 8 and 4
B. 4 and 4
\( c \cdot 8 \) and 8
D. 16 and 8 | 0 | Biology |
Latent heat of vaporization of liquid at
\( \mathbf{5 0 0} \boldsymbol{K} \) and \( \mathbf{1} \) atm pressure is \( 10 \mathrm{kcal} / \) mol. What is the change in internal energy when 3 moles of the liquid is vaporized at the same
temperature?
A . \( 27 \mathrm{kcal} \)
B. \( 7 k c a l \)
c. 33 k call \( l \) | 1 | Chemistry |
In a syncarpous unilocular ovary, ovules develop from two opposite lines on the wall. The placentation is
A. Superficial
B. Marginal
c. Axile
D. Parietal | 0 | Biology |
The reaction \( \boldsymbol{A}(s) \rightarrow 2 B(g)+C(g) \) is
first order. The pressure after 20 min. and after a very long time are \( 150 \mathrm{mm} \) Hg and 225 mm Hg. The value of rate
constant and pressure after 40 min are?
A. 0.05 In 1.5 min \( ^{-1}, 200 \) mm men
B. 0.5 In 2 min \( ^{-1}, 300 \) mm
c. 0.05 In 3 min\( ^{-1} \), 300 mm
D. \( 0.05 \operatorname{In} 3 \) min\( ^{-1}, 200 \mathrm{mm} \) | 1 | Chemistry |
The compound of the formula
\( \boldsymbol{C H}_{3} \boldsymbol{C O}\left(\boldsymbol{C H}_{2}\right)_{5} \boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C O O H} \)
would be expected to:
I rotate the plane polarised light
II : contain chiral centre
III : contain three stereocentres
IV: show geometrical isomerism
A. Only I, II, II are correct.
B. Only II, IV are correct.
c. ।, ॥, ॥I, IV are correct.
D. only IV is correct. | 1 | Chemistry |
The food stocks in a hostel are
sufficient for 1200 students for 20 days
If 400 more students joined the hostel,
the stocks just for ... days.
A \( \cdot 12 \)
B. 15
\( c \cdot 18 \)
D. 2 | 2 | Maths |
Which of the following sets of reactants is used for preparation of paracetamol from phenol?
A \( \cdot H N O_{3}, H_{2} / P d,\left(C H_{3} C O\right)_{2} O \)
B \( \cdot H_{2} S O_{4}, H_{2} / P d,\left(C H_{3} C O\right)_{2} O \)
\( \mathrm{c} \cdot C_{6} H_{5} N_{2} C l, \operatorname{Sn} C l_{2} / H C l,\left(C H_{3} C O\right)_{2} O \)
D \( \cdot B r_{2} / H_{2} O, Z n / H C l,\left(C H_{3} C O\right)_{2} O \) | 1 | Chemistry |
Decomposition of organic wastes in
water causes
A. Eutrophication
B. Desertification
c. soil erosion
D. Both A and B | 0 | Biology |
If \( \boldsymbol{I}=\int \frac{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}}{\boldsymbol{x}^{4}-\boldsymbol{a}^{2} \boldsymbol{x}^{2}+\boldsymbol{a}^{4}} \boldsymbol{d} \boldsymbol{x} \)
A \( \cdot \frac{1}{a} \tan ^{-1}\left(\frac{a x}{x^{2}-a^{2}}\right)+C \)
B. \( \frac{1}{a} \tan ^{-1}\left(\frac{x^{2}-a^{2}}{a x}\right)+C \)
c. \( \log |x+\sqrt{x^{2}-a^{2}}|+x+C \)
D. none of these | 2 | Maths |
State the characteristics of magnetic
lines of force. | 3 | Physics |
Auerbach's plexus are found in
A. Below dermis and made up of muscles
B. Outer to muscularis externa and made up of nerves
C. Below muscularis interna
D. Layer of podocytes in glomerulus of kidney | 0 | Biology |
Where do plant roots take up oxygen
from?
A. Atmospheric air
B. Air spaces between soil particles
C. Water in soil particles
D. None of the above | 0 | Biology |
Two similar boxes \( B_{i}(i=1,2) \) contains \( (i+1) \) red and \( (5-i-1) \) black balls.
One box is chosen at random and two
balls are drawn randomly. What is the probability that both the balls are of
different colours?
A \( \cdot \frac{1}{2} \)
B. \( \frac{3}{10} \)
\( c \cdot \frac{2}{5} \)
D. | 2 | Maths |
Rutherfords alpha-particles dispersion
experiment concludes
A. all positive ions are deposited at small part
B. all negative ions are deposited at small part
C. proton moves around the electron
D. neutrons are charged particles | 1 | Chemistry |
You are given two convex lenses of focal lengths \( 5 \mathrm{cm} \) and \( 25 \mathrm{cm} \). Which one of
these would you like to use as an objective in a telescope? Give reasons
for your answer. | 3 | Physics |
Which of the following units can be
used to express G?
\( A \cdot N K g^{-2} \)
B. \( \mathrm{Nm}^{-2} \mathrm{Kg}^{2} \)
\( \mathrm{C} \cdot \mathrm{Nm}^{2} \mathrm{Kg}^{-2} \)
D. \( \mathrm{Nm}^{-2} \mathrm{Kg}^{-3} \) | 3 | Physics |
A \( 13 f t . \) ladder is leaning against a wall when its base starts to slide away At the instant when the base is 12 ft. away from the wall, the base is moving away from the wall at the rate of 5 ft/sec. The
rate at which the angle \( \theta \) between the ladder and the ground is changing is
A \( \cdot-\frac{12}{13} r a d / \sec \)
B. - 1 rad\( / \)sec.
c. \( -\frac{13}{12} r a d / s e c \)
D. \( -\frac{10}{13} \) rad/sec | 2 | Maths |
The value of the integral \( \int_{\frac{1}{3}}^{1} \frac{\left(x-x^{3}\right)^{\frac{1}{3}}}{x^{4}} d x \) is?
\( A \cdot 6 \)
B.
\( c .3 \)
D. | 2 | Maths |
Induced charge resides at/in the
A. bulk of the object
B. centre of the object
c. surface of the object
D. All of the above | 3 | Physics |
In which of the following acetic acid is used?
A. Antibiotics
B. To remove nail polish
c. Antiseptic
D. White lead | 1 | Chemistry |
Three charged particles are in equilibrium under their electrostatic forces only. which of the following statements is true for the system. This question has multiple correct options
A. the particles have the same charge
B. all the charges cannot have the same magnitude
c. all the charges cannot have the same sign
D. the equilibrium is unstable | 3 | Physics |
When at rest, a liquid stands at the
same level in the tubes as shown in the
figure. But as indicated, a height
difference \( h \) occurs when the system is given an acceleration \( a \) towards the
right. Then \( h \) is equal to
\( ^{A} \cdot \frac{a L}{2 g} \)
в. \( \frac{g L}{2 a} \)
c. \( \frac{g L}{a} \)
D. \( \frac{a L}{q} \) | 3 | Physics |
When \( H g I_{2} \) is added to aqueous
solution of \( \mathrm{KI} \), why there is an increase
in vapour pressure of solution? | 1 | Chemistry |
The number of marble slabs of size
\( 20 \mathrm{cm} \times 30 \mathrm{cm} \) required to pave the
floor of a square room of side 3 metres
is
A. 100
в. 150
\( c .225 \)
D. 25 | 2 | Maths |
\( \int \frac{e^{x}}{x}\left(x \cdot(\log x)^{2}+2 \log x\right) d x \) | 2 | Maths |
In fuel cells, the reaction that takes
place at the anode is:
A \( \cdot H_{2}(g)+2 O H^{-}(a q) \rightarrow 2 H_{2} O(l)+2 e^{-} \)
в. \( O_{2}(g)+2 H_{2} O(l)+4 e^{-} \rightarrow 4 O H^{-}(a q) \)
c. \( 4 O H^{-} \rightarrow O_{2}+2 H_{2} O+4 e^{-} \)
D. \( 2 H^{+}+2 e^{-} \rightarrow H_{2} \) | 1 | Chemistry |
Fill in the blanks with appropriate
words.
In mitotic metaphase centromeres of chromosomes remain directed towards
the \( \ldots . . . . . . \) and the arms of chromosomes
remain directed towards the | 0 | Biology |
Assertion
If a light body and a heavy body possess the same momentum, the lighter body
will possess more kinetic energy.
Reason
The kinetic energy of a body varies as
the square of its velocity.
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 | 3 | Physics |
The objects pictured above are coins moving around on a record player. The coins are not sliding on the record player surface. Which coins is moving faster and how many times faster it is moving than the other one? The space between each vertical line along the horizontal arrow is one-
seventh the radius of the circular record
player surface.
A. 1-three times faster than slowest
B. 3-five-seventh's faster than slowest
c. 3-five times faster than slowest
D. 1-five-seventh's faster than slowest
E. 2 -three-seventh's faster than slowest | 3 | Physics |
The organic acid that can be made from ethanol is:
A . acetic acid
B. formic acid
\( \mathbf{c} \cdot C_{3} H_{7} O H \)
D. valeric acid
E. butanoic acid | 1 | Chemistry |
The necessary condition for a compound to form fibre is that
A. its molecules must be linear
B. its molecules must be spherical
c. its molecules must be rectangular
D. its molecules must be hexagonal | 1 | Chemistry |
When a symbol is used to represent a unit named after a person, lower-case letters are used.
A. True
B. False | 3 | Physics |
In the synthesis of sodium carbonate, the recovery of ammonia is done by
treating \( N H_{4} C l \) with \( C a(O H)_{2} \)
The by-product obtained in this process is:
A. \( C a C l_{2} \)
в. \( N a C l \)
c. \( N a O H \)
D. \( \operatorname{NaH} \mathrm{CO}_{3} \) | 1 | Chemistry |
A block of mass \( m \) is pulled slowly by a
minimum constant force \( (\boldsymbol{F}) \) on a
horizontal surface through a distance \( x \)
The coefficient of kinetic friction is \( \mu \)
Find the work done by the force \( (\boldsymbol{F}) \) | 3 | Physics |
In the Castner process for the extraction of sodium, the anode is made of:
A. copper
B. iron
c. sodium
D. nickel | 1 | Chemistry |
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