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The surface tension of soap solution is \( 0.03 N / m . \) The work done in blowing to form a soap bubble of surface area
\( 40 c m^{2}, \) in Joules, is:
A \( \cdot 1.2 \times 10^{-4} \)
B. \( 2.4 \times 10^{-4} \)
c. \( 12 \times 10^{-4} \)
D. \( 24 \times 10^{-4} \) | 3 | Physics |
The value of \( \sin \left(\frac{1}{4} \sin ^{-1} \frac{\sqrt{63}}{8}\right) \) is
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{2 \sqrt{2}} \)
D. | 2 | Maths |
Statement 1: The addition of \( \boldsymbol{H}_{2} \) to
ethene will form an unsaturated
compound called ethane Statement 2: Ethane, has as many
hydrogen atoms bonded to the carbon atoms as possible
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement'
c. statement 1 is correct but Statement 2 is not correct
D. Statement 1 is not correct but Statement 2 is correct
E. Both the Statement 1 and Statement 2 are not correct | 1 | Chemistry |
The single \( X-X \) bond made by \( N \) is
weaker than that of \( P \) because:
A. of repulsion between nitrogen nucleus due to smaller size of nitrogen atom
B. of repulsion between non-bonded electrons due to smaller size of nitrogen atom
c. of higher bond enthalpy of nitrogen
D. all of the above | 1 | Chemistry |
Observe the following statements.
1. Lanthanides actively participate in chemical reactions.
2. The basic nature of hydroxides of
lanthanides increases from \( L a(O H)_{3} \)
to \( L u(O H)_{3} \)
3. Lanthanides do not form coordinate
compounds as readily as d-block metals.
The correct statements are:
A. \( 1,2 \& 3 \)
В. 183
\( c \cdot 1 \& 2 \)
D. 2 \& 3 | 1 | Chemistry |
The criterion of spontaneity in terms of
Gibbs energy is the same as that laid down by second law of thermodynamics. How? | 1 | Chemistry |
Which of the following rational numbers lies between \( \frac{3}{4} \) and \( \frac{13}{8} ? \)
A \( \cdot \frac{11}{16} \)
в. \( \frac{12}{16} \)
c. \( \frac{19}{16} \)
D. \( \frac{26}{16} \) | 2 | Maths |
If \( m \) th term of an A.P. is \( n \) and \( n \) th term
is \( m, \) then the \( (m+n) \) th term is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( m+n-1 \)
\( \mathrm{c} \cdot m+n \)
D. \( \frac{m n}{m+n} \) | 2 | Maths |
In the figure, \( Q X \) and \( R X \) are the
bisectors of angles \( Q \) and \( R \)
respectively of \( \triangle \boldsymbol{P Q R} \). If \( \boldsymbol{X} \boldsymbol{S} \perp \boldsymbol{Q} \boldsymbol{R} \)
and \( X T \perp Q R, \) then \( \triangle X T Q \cong \triangle X S Q \)
by \( _{\text {一一一一一一一一一一 }} \) congruency
A. \( S A S \)
B. \( R H S \)
c. \( A A S \)
D. \( A S A \) | 2 | Maths |
What do you understand by the terms nomenclature and classification? | 0 | Biology |
A material B' has twice the specific
resistance of \( \mathbf{A}^{\prime} . \) A circular wire made of
B' has twice the diameter of a wire
made of \( \mathbf{A}^{\prime} . \) Then for the two wires to
have the same resistance, the ratio
\( \boldsymbol{P}_{\mathrm{A}} / \boldsymbol{P}_{\mathrm{B}} \) of their respective lengths must
be
\( A \cdot 2 \)
B. 1
\( c \cdot \frac{1}{2} \)
D. | 3 | Physics |
How did Mendeleev predict the existence of some yet to be discovered elements in his periodic table?
A. Gaps
B. Atomic number
c. Mass number
D. None of the above | 1 | Chemistry |
A die is thrown. Find the probability of
getting:
2 or 4 | 2 | Maths |
Assertion
Amount of biodegradable present in water is measured by BOD organic
matter
Reason
During biodegradation of organic compounds, oxygen is released.
A. Both A and R are true and R is the correct explanation of
B. Both A and R are true and R is not the correct explanation of
c. A is true but R is false
D. Both A and R are false | 0 | Biology |
A very high magnetic field is applied to a stationary charge. Then, the charge experiences
A. A force in a direction of magnetic field
B. A force perpendicular to the magnetic field
c. A force in an arbitrary direction
D. No force | 3 | Physics |
The relative magnetic permeability of a magnetic material is 800 . Identify the nature of magnetic material and state its own properties. | 3 | Physics |
How can we be safe when there is
occurrence of lightning?
A. Taking shelter under building or house
B. When travelling through car or bus, making sure windows and doors are shutt
C. If in forest, taking shelter under short trees
D. All of the above | 3 | Physics |
Water potential in the leaf tissue is positive (+ve) during
A. Excessive transpiration
B. Low absorption
c. Low transpiration
D. Guttation | 0 | Biology |
Statement 1: A charge is outside the
Gaussian sphere of radius \( R \). Then
electric field on the surface of sphere is
zero
Statement 2: As \( \oint \vec{E} . \overrightarrow{d s}=\frac{q_{i n}}{\varepsilon_{0}}, \) for the
sphere \( \boldsymbol{q}_{\boldsymbol{i n}} \) is zero, so \( \oint \overrightarrow{\boldsymbol{E}} \cdot \overrightarrow{\boldsymbol{d} s}=\mathbf{0} \)
A. Statement 1 is true, statement 2 is true and statement 2 is correct explanation for statement
B. Statement 1 is true, statement 2 is true and statement 2 is NOT the correct explanation for statement
c. Statement 1 is true, statement 2 is false
D. Statement 1 is false, statement 2 is true | 3 | Physics |
A potentiometer wire has length \( 4 \mathrm{m} \) and resistance \( 8 \Omega \).What should be the
resistance that must be connected in
series with the wire and an accumulator
of emf \( 2 \mathrm{V}, \) so as to get a potential gradient \( 1 \mathrm{m} \mathrm{V} \) per \( \mathrm{cm} \) on the wire?
A . \( 32 \Omega \)
B. \( 36 \Omega \)
c. \( 40 \Omega \)
D. \( 30 \Omega \) | 3 | Physics |
\( 13.8 g \) of \( N_{2} O_{4} \) was placed in a \( 1 L \)
reaction vessel at \( 400 K \) and allowed
attain equibrium \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
The total pressure at equilibrium was
found to be 9.15 bar. Calculate \( K_{c}, K_{p} \) and partial pressure at equilibrium. | 1 | Chemistry |
The degree and order of
the differential equation
\( \left[1+2\left(\frac{d y}{d x}\right)^{2}\right]^{1 / 2}=5 \frac{d^{2} y}{d x^{2}} \) are
\( A \cdot 1,2 \)
B. 2,
c. 3,1
D. 4,3 | 2 | Maths |
A steamer crosses a river having a width of \( 240 m \) which is flowing with a
speed of \( 8 m / s . \) In order to cross the
river along the shortest path, find the time of crossing the river. [velocity of steamer in still water is \( 10 \mathrm{ms}^{-1} \) ]. | 3 | Physics |
A gas consisting of rigid diatomic molecules is expanded adiabatically. How many times has the gas to be expanded to reduce the r.m.s. velocity of the molecules to \( \left(\frac{2}{3}\right) \) rd of initial value.
A . 0.13
B. 7.6
\( c .5 \)
D. 3.8 | 1 | Chemistry |
Identify the functional group in the
following detergent molecule. \( \boldsymbol{C H}_{\mathbf{3}}- \)
\( \left(\boldsymbol{C} \boldsymbol{H}_{2}\right)_{10}-\boldsymbol{C H}_{2} \boldsymbol{O S O}_{3}^{-} \boldsymbol{N a}^{+} \) | 1 | Chemistry |
"Sporeine" is used to control
A. Bacterial pathogen
B. Fungal pathogen
c. Nematodes
D. Insects pest | 1 | Chemistry |
The frequency of a light wave in a material is \( 2 \times 10^{14} \mathrm{Hz} \) and wavelength is 5000 A. The refractive index of
material will be
A . 1.40
в. 1.50
\( c .3 .00 \)
D. 1.33 | 3 | Physics |
Nitrogen has unique ability to form \( \boldsymbol{P} \boldsymbol{\pi}-\boldsymbol{P} \boldsymbol{\pi} \) multiple bonds with itself and
with other elements due to:
A. small size and low electronegativity
B. large size and high electronegativity
c. large size and low electronegativity
D. small size and high electronegativity | 1 | Chemistry |
Two resistances \( r_{1}=(5.0 \pm 0.2) \Omega \) and
\( r_{2}=(10.0 \pm 0.1) \Omega \) are connected in
parallel. Find the value of equivalent resistance with limits of percentage
error.
A \( \cdot r_{p}=4 \Omega \pm 7 \% \)
B . \( r_{p}=3.3 \Omega \pm 14 \% \)
\( \mathbf{c} \cdot r_{p}=3.3 \Omega \pm 3.5 \% \)
D . \( r_{p}=3.3 \Omega \pm 7 \% \) | 3 | Physics |
In bridge rectifier circuit, (see fig.), the input signal should be connected
between
A. A and D
\( B . B \) and \( C \)
c. \( A \) and \( C \)
D. \( B \) and \( D \) | 3 | Physics |
Which of the following shows the correct order of decreasing basicity in aqueous medium:
\( \mathbf{A} \cdot\left(C H_{3}\right)_{3} N>\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>N H_{3} \)
в. \( \left(C H_{3}\right)_{2} N H>\left(C H_{3}\right)_{3} N>C H_{3} N H_{2}>N H_{3} \)
C \( \cdot\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>\left(C H_{3}\right)_{3} N>N H_{3} \)
D. \( \left(C H_{3}\right)_{2} N H>C H_{3} N H_{2}>N H_{3}>\left(C H_{3}\right)_{3} N \) | 1 | Chemistry |
In the diagrams (i) to (iv) of variation of
volume with changing pressure is
shown. A gas is taken along the path
\( A B C D A \). The change in internal energy
of the gas will be
\( (\mathbf{i}) \)
\( (\text { iii }) \)
A. Positive in all cases (i) to (iv)
B. Positive in cases
(i), (ii) and
(iii) but zero in case (iv)
c. Negative in cases
(i), (ii) and
(iii) but zero in case (iv)
D. zero in all the four cases | 3 | Physics |
What is the difference between lymph
and blood? | 0 | Biology |
Permanent magnets are made from
A. diamagnetic substances
B. paramagnetic substance
C. ferromagnetic substances
D. wood | 3 | Physics |
Substances like glucose, amino acids, Nat etc in filtrate are reabsorbed by
A. Passive transportt
B. Active transport
C. Both active and passive transport
D. Facilitated diffusion | 0 | Biology |
Which of the following plots represents an ideal binary mixture?
\( \mathbf{A} \cdot \) Plot of \( P_{\text {total}} v / s 1 / X \) is linear \( \left(X_{B}= \) mole fraction of \right. 'B' in liquid phase).
B. Plot of \( P_{\text {total}} v / s Y_{A} \) is linear \( \left(Y_{B}= \) mole fraction of 'A' \right. in vapour phase)
C ef of \( \frac{1}{P_{\text {total}}} v / s Y_{A} \) is linear
D. plot of \( \frac{1}{P_{\text {total}}} v / s Y_{B} \) is non linear | 1 | Chemistry |
Expalin the following:
The \( E^{o} c u^{21} / c u \) for copper metal is
positive \( (+0.34), \) unlike the remaining members of the first transition series | 1 | Chemistry |
Besides water and light, which is more essential as a raw material for food
formation in plants?
\( A \cdot O_{2} \)
B. \( \mathrm{cO}_{2} \)
c. Minerals salts
D. NAD | 0 | Biology |
The rate of the elementary reaction
\( \mathbf{2} N \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{O}_{2}(\boldsymbol{g}) \) at \( \boldsymbol{3} \boldsymbol{8} \boldsymbol{0}^{\circ} \boldsymbol{C} \)
is given by Rate \( =2.6 \times \)
\( \mathbf{1 0}^{-\mathbf{3}}[\mathbf{N O}]^{\mathbf{2}}\left[\mathbf{O}_{\mathbf{2}}\right] . \) The rate of the reverse
reaction is given by under identical conditions is given by Rate \( = \)
\( 4.1\left[N O_{2}\right]^{2} . \) Calculate equilibrium
constant. | 1 | Chemistry |
A list of reactions are given below.
(a) \( \boldsymbol{F e}+\mathbf{2 H C l} \rightarrow \boldsymbol{F e C l}_{2}+\boldsymbol{H}_{2} \)
(b) \( \boldsymbol{F e} \boldsymbol{S}+\boldsymbol{2} \boldsymbol{H} \boldsymbol{C l} \rightarrow \boldsymbol{F} \boldsymbol{e} \boldsymbol{C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{S} \)
(c) \( \boldsymbol{F} \boldsymbol{e}+\boldsymbol{S} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \boldsymbol{F} \boldsymbol{e} \boldsymbol{S} \)
(d) \( \boldsymbol{N a C l}+\boldsymbol{H}_{2} \boldsymbol{S O}_{4} \stackrel{<200^{\circ} \boldsymbol{C}}{\longrightarrow} \)
\( N a H S O_{4}+H C l \)
\( (e) C u S O_{4}+H_{2} S \rightarrow C u S+H_{2} S O_{4} \)
\( (f) S+H_{2} S O_{4} \rightarrow 3 S O_{2}+H_{2} O \)
Identify redox reactions.
\( A \cdot a, c \) and \( f \)
B. d and f
\( c \cdot c \) and \( d \)
D. c, d and f | 1 | Chemistry |
The oxide of nitrogen formed in atmosphere during lightning
is
\( A \cdot N_{2} O \)
в. NO
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{3} \)
D. \( \mathrm{N}_{2} \mathrm{O}_{5} \) | 1 | Chemistry |
One mole of radium has an activity of \( 1 / 3.7 \) killo curie. Its decay constant will be
A \( \cdot \frac{1}{6} \times-10 s^{-1} \)
В. \( 10^{-10} s^{-1} \)
\( \mathbf{c} \cdot 10^{-11} s^{-1} \)
D. \( 10^{-8} s^{-1} \) | 3 | Physics |
The length and breadth of a rectangular
piece of land are \( 500 \mathrm{m} \) and \( 300 \mathrm{m} \) respectively.
Find the cost of the land, if \( 1 m^{2} \) of the
land costs Rs. 10,000 | 2 | Maths |
Find the average age of the people given below in the tabular column. Use step
deviation method.
A. 12 years
B. 11 years
c. 13 years
D. 14 years | 2 | Maths |
Polarisation is the distortion of the
shape of an anion by an adjacently
placed cation. Which of the following statements is correct?
This question has multiple correct options
A. Maximum polarisation is brought about by a cation of high charge
B. Maximum polarisation is brought about by a cation of low radius
c. A large cation is likely to bring about a large degree of polarisation
D. Polarising power of a cation is less than that of anion | 1 | Chemistry |
Find the magnitude \( \& \) direction of
frictional force between block \( A \) and
table, if block \( A \) is pulled towards left
with a force of \( 50 N \)
\( \mathbf{A} \cdot 10 \hat{i} \)
B . \( 10 \hat{j} \)
\( c \cdot 20 \hat{i} \)
D. \( 20 \hat{j} \) | 3 | Physics |
the time when relative motion between
them will stop.
A \( .1 / 4 s \)
B. 2/4s
\( c \cdot 3 / 4 s \)
D. \( 5 / 4 s \) | 3 | Physics |
A person with a normal near point (25 \( \mathrm{cm} \) ) using a compound microscope with objective of focal length \( 8.0 \mathrm{mm} \) and an eyepiece of focal length \( 2.5 \mathrm{cm} \)
can bring an object placed at \( 9.0 \mathrm{mm} \)
from the objective in sharp focus. What is the separation between the two lenses? Calculate the magnifying power of the microscope. | 3 | Physics |
You are required to make an electromagnet from a soft iron bar by using a cell, an insulated coil of copper wire and a switch. Draw a circuit
diagram to represent the process. | 3 | Physics |
Assume that configurations consisting of a completely filled or half filled set of
\( \boldsymbol{d} \) -orbitals is spherically symmetrical The species having spherical symmetry
are:
This question has multiple correct options
A. \( Z n \)
в. \( C u^{+} \)
c. \( P d \)
D. \( C r \) | 1 | Chemistry |
(i) It is observed that the temperature of the surroundings starts falling when the ice in a frozen lake starts melting.
Give a reason for the observation.
(ii) How is the heat capacity of the body related to its specific heat capacity? | 3 | Physics |
State the property illustrated by the statement. \( \frac{4}{5} \times 1=1 \times \frac{4}{5} \) is multiplicative inverse
A. multiplicative
B. multiplicative inverse
c. data inadequate
D. none of these | 2 | Maths |
3 spheres \( A, B \) and \( C \) having radii
\( R, 2 R \) and \( 3 R \) respectively are coated
with carbon black on their surfaces.
The wavelengths corresponding to
maximum intensity are 3000,4000 and
\( \mathbf{5 0 0 0} \) respectively. The power radiated
by them are \( Q_{A}, Q_{B} \) and \( Q_{C} . \) Then
A \( \cdot Q_{A} \) is maximum among all
B. \( Q_{B} \) is maximum among all
c. \( Q_{C} \) is maximum among all
D. \( Q_{A}=Q_{B}=Q_{C} \) | 3 | Physics |
Mass number is also called as
A. weight
B. molecular weight
c. Both A and B
D. atomic mass number | 1 | Chemistry |
toppr
Q Type your question
aimed towards \( Q \) and velocity \( \vec{u} \) of \( Q \) is
perpendicular to \( \vec{v} \). The two projectiles
meet at time \( \boldsymbol{T}= \)
\( A \)
B.
\[
\frac{(v+u) d}{v^{2}}
\]
\( c \)
\[
\frac{v(v-u)}{d}
\]
D.
\[
\frac{v d}{\left(v^{2}-u^{2}\right)}
\] | 3 | Physics |
If \( \int \frac{x \cos ^{-1} x}{\sqrt{1-x^{2}}} d x= \)
\( -k\left[\sqrt{1-x^{2}} \cos ^{-1} x+x\right]+C . \) what will
be the value of \( k ? \) | 2 | Maths |
For the reaction
\( \boldsymbol{S O C l}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{S O}_{2}+2 \boldsymbol{H C l} \)
the enthalpy of reaction is \( 49.4 k J \) and
the entropy of reaction is \( 336 J K^{-1} \)
Calculate \( \Delta G \) at \( 300 K \) and predict the
nature of the reaction. | 1 | Chemistry |
Calculate the weight of the block at a distance of four times of Earth radii
from the center of the Earth. It is given that \( g \) is the acceleration due to gravity at the surface of Earth and mass of the
block is \( \mathrm{m} \)
A. \( 16 \mathrm{mg} \)
B. \( 4 \mathrm{mg} \)
c. \( 2 \mathrm{mg} \)
D. \( \frac{1}{4} \mathrm{mg} \)
E \( \cdot \frac{1}{16} \mathrm{mg} \) | 3 | Physics |
Which of the following coordination compounds would exhibit optica isomerism?
A. Pentamminenitrocobalt (III) iodide
B. Tris-(ethylenediamine) cobalt (III) bromide
c. Trans- dicyanobis (ethylenediamine)
D. Diamminedinitroplatinum (II) | 1 | Chemistry |
Which of the following compounds is/are expected to
be colored?
This question has multiple correct options
A \( \cdot T i\left(N O_{3}\right)_{4} \)
\( \mathbf{B} \cdot\left[C u\left(N C C H_{3}\right)_{4}\right] B F_{4}^{-} \)
c. \( \left[C r\left(N H_{3}\right)_{6}\right]^{3}+3 C l \)
D \( \cdot K_{3}\left[V F_{6}\right] \) | 1 | Chemistry |
Which of the following compounds are
involved in the formation of sulfur
trioxide?
This question has multiple correct options
A \( \cdot H_{2} S_{2} O_{5} \)
в. \( N a H S O_{4} \)
c. \( N a_{2} S_{2} O_{7} \)
D. \( H_{2} S_{2} O_{7} \) | 1 | Chemistry |
When a satellite falls to an orbit of
smaller radius its kinetic energy:
A . Decrease
B. Increase
c. Remains same
D. Nothing can be predicted | 3 | Physics |
Lichens have an actual relationship of
A. Parasitism
B. Mutualism
C. Helotism
D. Epiphytism | 0 | Biology |
"Aqua regia" is a combination of :
A. \( H C l \) and \( H_{2} S O_{4} \)
B. \( H C l \) and \( H N O_{3} \)
c. \( H C l \) and \( H B r \)
D. HCl and \( H F \) | 1 | Chemistry |
The IUPAC name of succinic acid
is Butane-1,4-dioic acid.
If true enter \( 1, \) if false enter 0 | 1 | Chemistry |
A box of weight \( 150 k g f \) has
gravitational potential energy stored in it equal to \( 14700 J \). Find the height of the box above the ground. (Take \( g= \)
\( 9.8 N k g^{-1} \)
\( \mathbf{A} \cdot 10 \mathrm{cm} \)
B. \( 10 k m \)
\( c .1 m \)
D. \( 10 m \) | 3 | Physics |
If \( \sin \alpha \sin \beta-\cos \alpha \cos \beta+1=0 \), then
show that \( 1+\cot \alpha \tan \beta=0 \) | 2 | Maths |
If \( a^{2}+b^{2}+c^{2}=14, \) then \( a b+b c+c a \)
is always greater than or equal to?
\( \mathbf{A} \cdot \mathbf{0} \)
B. 14
c. -1
D. - | 2 | Maths |
P' wave of ECG occurs before the
A. Onset of ventricular contraction.
B. End of arterial contraction.
C. Beginning of atrial contraction.
D. None of the above | 0 | Biology |
Determine the shear stress at the pipe
wall
A. \( 8 \times 10^{-6} N / m^{2} \)
B. \( 3.9 \times 10^{-6} N / m^{2} \)
c. \( 2.3 \times 10^{-6} N / m^{2} \)
D. \( 10.6 \times 10^{-6} N / m^{2} \) | 3 | Physics |
Solve :
\( \boldsymbol{I}=\int \frac{\boldsymbol{x}+\mathbf{9}}{\boldsymbol{x}^{2}+\mathbf{5}} \boldsymbol{d} \boldsymbol{x} \) | 2 | Maths |
Which of the following gives a precipitate with moist silver oxide?
A \( \cdot C H_{2}=C H-C l \)
В \( \cdot C_{6} H_{5} C l \)
\( c \)
(c)
\( D \)
\( (d) \) | 1 | Chemistry |
Which of the following is regulated by autonomic nervous system?
A. Heart
B. Internal organs
c. Brain
D. External organs | 0 | Biology |
State and derive work energy theorem. | 3 | Physics |
A body of mass m falls freely through a height h from the top of a tower. The velocityjust before touching the ground is \( \sqrt{\frac{3}{2} g h} . \) The air drag is:
A \( . m g \)
в. \( \frac{m g}{2} \)
\( c \cdot \frac{m g}{3} \)
D. \( \frac{m g}{4} \) | 3 | Physics |
A thin iron ring with mean diameter
\( d=50 \mathrm{cm} \) supports a winding
consisting of \( N=800 \) turns carrying
current \( \boldsymbol{I}=\mathbf{3 . 0} \boldsymbol{A} . \) The ring has a cross
cut of width \( b=2.0 \) mm. Neglecting the
scattering of the magnetic flux at the gap edges, and using the plot shown in figure above, find the permeability of
iron under these conditions. | 3 | Physics |
Draw Lewis structure for the following molecules.
¡) \( \boldsymbol{S F}_{\mathbf{6}} \)
ii) \( C_{2} H_{4} \)
iii \( N O_{2} \) | 1 | Chemistry |
Let \( \boldsymbol{A}=\{-\mathbf{7}, \mathbf{5}, \mathbf{2}\} \) and \( \boldsymbol{B}= \)
\( \{\sqrt[3]{125}, \sqrt{4}, \sqrt{49}\} \)
Are the sets \( A \) and \( B \) equal? Choose the correct option for the above. Justify
your answer.
A. Yes
B. No
c. Ambiguous
D. Data insufficient | 2 | Maths |
Refraction of light is caused due to the change in the \( _{\text {一一一一一一 }} \) of light in different media.
A . speedd
B. frequency
c. acceleration
D. none of the above | 3 | Physics |
The oxide of metal \( R \) can be reduced by
the metal \( P \) and metal \( R \) can reduce the
oxide of metal \( Q . \) Then the decreasing
order of the reactivity of metal \( P, Q \) and
\( R \) with oxygen is:
A. \( P>Q>R \)
в. \( P>R>Q \)
c. \( R>P>Q \)
D. \( Q>P>R \) | 1 | Chemistry |
Which of the following is not a final product obtained by cross aldol condensation of ethanal and propanal?
A. 3-Methyl-but-2-enal
B. 2-Methyl-pent-2-enal
c. But-2-enal
D. Pent-2-enal | 1 | Chemistry |
When ammonium vanadate is heated
with oxalic acid solution, a substance \( \mathbf{Z} \)
is formed. A sample of Z was treated
with \( K M n O_{4} \) solution in hot acidic
solution. The resulting liquid was
reduced with \( S O_{2}, \) the excess \( S O_{2} \)
boiled off and the liquid again titrated
with same \( K M n O_{4} . \) The ratio of
volumes of \( K M n O_{4} \) used in the two
titrations was \( 5: 1 . \) What is the
oxidation state of vanadium in
substance Z? Given than \( K M n O_{4} \)
oxidize all oxidation state of vanadium
to vanadium (+5) and \( S O_{2} \) reduces
\( V(+5) \) to \( V(+4) \) | 1 | Chemistry |
The least value of \( 9 \sec ^{2} x+16 \operatorname{cosec}^{2} x \)
is:
A . 25
B. 49
c. 81
D. 64 | 2 | Maths |
The distance of geostationary orbit from the Earth is \( 15,000 \mathrm{km} \). This statement
is
A. True
B. False | 3 | Physics |
Which of the following statements does not show correct difference between
adsorption and absorption?
A. In adsorption, the substance is concentrated only at the surface while in absorption it is uniformly distributed in the bulk
B. Adsorption is instantaneous while absorption is a slow process
c. A substance can be adsorbed as well as absorbed simultaneously and the process is called sorption.
D. Only gases are adsorbed while solids and liquids are absorbed | 1 | Chemistry |
Point \( D \) has coordinates as (3,4,5)
Find the coordinates of the point \( \boldsymbol{F} \)
\( \mathbf{A} \cdot(0,4,0) \)
B. (0,0,4)
\( \mathbf{C} \cdot(0,0,5) \)
\( \mathbf{D} \cdot(0,5,0) \) | 2 | Maths |
The net heat absorbed by the gas in the
path BC | 3 | Physics |
If \( \sin \alpha+\sin \beta=\frac{1}{2} \) and \( \cos \alpha+ \)
\( \cos \beta=\frac{\sqrt{3}}{2}, \) then value of \( 3 \alpha+\beta \) is
A \( .90^{\circ} \)
B . \( 0^{\circ} \)
\( c \cdot 120^{\circ} \)
D. \( 60^{\circ} \) | 2 | Maths |
Find the mean deviation from the mean
of the following data, using the step
deviation method:
\begin{tabular}{|l|l|}
\hline Marks & No. of students \\
\hline \( 0-10 \) & 6 \\
\hline \( 10-20 \) & 5 \\
\hline \( 20-30 \) & 8 \\
\hline \( 30-40 \) & 15 \\
\hline \( 40-50 \) & 7 \\
\hline \( 60-70 \) & 3 \\
\hline
\end{tabular} | 2 | Maths |
If \( W_{1}, W_{2} \) and \( W_{3} \) represent the work
done in moving a particle from \( \boldsymbol{A} \) to \( \boldsymbol{B} \)
along three different paths 1,2 and 3
respectively (as shown) in a
gravitational field of point mass \( \boldsymbol{m} \)
then find the correct relation between
\( W_{1}, W_{2} \) and \( W_{3} \)
A \( . W_{1}=W_{2}=W_{3} \)
B. \( W_{1}>W_{2}>W_{3} \)
\( \mathbf{c} \cdot W_{1}<W_{2}<W_{3} \)
D. \( W_{2}>W_{1}>W_{3} \) | 3 | Physics |
A long horizontal metallic rod with length along the east-west direction is falling under gravity. The potentiol difference between its two ends will :
A. be zero
B. be constant
c. increase with time
D. decrease with time | 3 | Physics |
toppr
Q Type your question
densities \( d \) and \( 2 d \) each of height \( H / 2 \)
as shown in the figure. The lower density liquid is open to the
atmosphere having pressure \( \boldsymbol{P}_{0} \cdot \boldsymbol{A} \)
homogeneous solid cylinder of length
\( \boldsymbol{L}(\boldsymbol{L}<\boldsymbol{H} / 2), \) cross-sectional area \( \boldsymbol{A} / \mathbf{5} \)
is immersed such that it floats with its
axis vertical at the liquid-liquid
interface with length \( L / 4 \) in the denser
liquid.
The cylinder is then removed and the original arrangement is restored. A tiny hole of area \( s(s<<A) \) is punched on
the vertical side of the container at a
height \( h(h<H / 2) . \) As a result of this,
liquid starts flowing out of the hole with
a range \( x \) on the horizontal surface.
The horizontal distance traveled by the liquid, initially, is :
\( \mathbf{A} \cdot \sqrt{(3 H+4 h) h} \)
B \( \cdot \sqrt{(3 h+4 H) h} \)
\( \mathbf{c} \cdot \sqrt{(3 H-4 h) h} \)
D. \( \sqrt{(3 H-3 h) h} \) | 3 | Physics |
Diamond is :
A. transparent
B. translucent
c. opaque
D. semi-absorbent | 3 | Physics |
Which of the material can be used as a
dielectric?
This question has multiple correct options
A. Ceramics
B. Woodd
c. copper
D. Aluminium | 3 | Physics |
In the above circuit, find out the
unknown resistance \( \mathrm{R} \)
\( A \cdot 6 \Omega \)
B. 8 ?
\( c .2 \Omega \)
D. \( 4 \Omega \) | 3 | Physics |
Sugar taken in a watch glass was found
to be charred by adding a substance ' \( X \) '
(a) What is the substance 'X'?
(b) What is the reason for charring of
sugar?
(c) Which catalyst is used in the industrial preparation of the substance \( X^{\prime} ? \) | 1 | Chemistry |
\( B r O_{3}^{-} \) is oxidised to \( B r O_{4}^{-} \) by \( X e F_{2} \)
\( \underset{\boldsymbol{m}_{1}}{\boldsymbol{X} \boldsymbol{F}_{2}}+\underset{\boldsymbol{m}_{2}}{\boldsymbol{B} \boldsymbol{r}} \boldsymbol{O}_{3}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{B} \boldsymbol{r} \boldsymbol{O}_{4}^{-}+ \)
\( \boldsymbol{X} \boldsymbol{e}+\boldsymbol{2} \boldsymbol{H} \boldsymbol{F} \)
where,
\( \boldsymbol{m}_{1} \) and \( \boldsymbol{m}_{2} \) are the molar masses of
\( X e F_{2} \) and \( B r O_{3}^{-}, \) respectively.
Ratio of equivalent mass of \( X e F_{2} \) and
\( B r O_{3}^{-} \) is
A \( \cdot \frac{m_{1}}{m_{2}} \)
в. \( \frac{2 m_{1}}{m_{2}} \)
c. \( \frac{m_{1}}{2 m_{2}} \)
D. \( \frac{m_{1}}{3 m_{2}} \) | 1 | Chemistry |
What will be the emf for the given cell :
\( P t\left|H_{2}\left(P_{1}\right)\right| H^{+}(a q)\left|H_{2}\left(P_{2}\right)\right| P t \)
\( ^{\text {A } \cdot} \frac{R T}{F} \log \frac{P_{1}}{P_{2}} \)
в. \( \frac{R T}{2 F} \log \frac{P_{1}}{P_{2}} \)
c. \( \frac{R T}{F} \log \frac{P_{2}}{P_{1}} \)
D. noneofthese | 1 | Chemistry |
\( 5 k g \) block rests on horizontal surface.
Which of the following option is
incorrect? \( \left(\boldsymbol{g}=\mathbf{1} \mathbf{0} \mathbf{m} / \mathbf{s}^{\mathbf{2}}\right) \)
This question has multiple correct options
A. The normal force on the block equals its weight because of Newton's second law
B. The normal force on the block is equal to the weight not because of Newton's third law
C. The normal force on the block equals its weight because of Newton's third law
D. The normal force on the block is 50 N. | 3 | Physics |
Factorise \( : 12 k y^{2}+8 k y-20 k \) | 2 | Maths |
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