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Assertion Two point coherent sources of light \( \boldsymbol{S}_{1} \) and \( S_{2} \) are placed on a line as shown in figure. \( P \) and \( Q \) are two points on that line. If at point \( \boldsymbol{P} \) maximum intensity is observed, then maximum intensity should also be observed at \( Q \) Reason In the figure, the distance \( \left|\boldsymbol{S}_{1} \boldsymbol{P}-\boldsymbol{S}_{2} \boldsymbol{P}\right| \) is equal to distance \( \left|\boldsymbol{S}_{1} \boldsymbol{Q}-\boldsymbol{S}_{2} \boldsymbol{Q}\right| \) \[ \vec{Q} \quad \overrightarrow{s_{1}} \quad \dot{S_{2}} \quad \dot{P} \] A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct
3
Physics
n different toys are to be distributed among n children. Find the number of ways in which these toys can be distributed so that exactly one child gets no toy
2
Maths
A wire carrying a current of \( 5 A \) is placed perpendicular to a magnetic induction of \( 2 T . \) The force on each centimeter of the wire is A. \( 0.1 N \) в. \( 10 N \) c. \( 100 N \) D. \( 1 N \)
3
Physics
If the difference between the circumference and radius of a circle is \( 37 \mathrm{cm}, \) then the area of the circle is A \( \cdot 111 c m^{2} \) В. \( 148 \mathrm{cm}^{2} \) \( \mathrm{c} \cdot 259 \mathrm{cm}^{2} \) D. \( 154 \mathrm{cm}^{2} \)
2
Maths
An equation of a line through the point (1,2) whose distance from the point (3,1) has the greatest value is A \( y=2 x \) \( x \) B. \( y=x+1 \) c. \( x+2 y=5 \) D. \( y=3 x-1 \)
2
Maths
Assertion The pollen tube is believed to release some stimulus for the increased growth in the ovary wall. Reason The auxins can increase the activity of ovary even in the absence of pollen grain or pollen tube. 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
0
Biology
Energy in a current carrying coil is stored in the form of A . electric field B. magnetic field c. dielectric strength D. heat
3
Physics
The number of quanta of radiation of frequency \( 4.98 \times 10^{14} s^{-1} \) required to melt 100 g of ice are (latent heat of melting of ice is 33 joule per \( g \) ): A \( \cdot 10^{20} \) B. \( 10^{2} \) \( c \cdot 10^{24} \) D. \( 6.023 \times 10^{21} \)
3
Physics
State the law of limiting factor
0
Biology
How many structural and stereoisomers could be obtained by monochlorination of propene with chlorine? \( A \cdot 2 \) B. 5 \( c \cdot 3 \) D. 4
1
Chemistry
Energy levels I, II, Ill of a certain atom correspond to increasing values of energy i.e., \( \boldsymbol{E}_{\boldsymbol{I}}<\boldsymbol{E}_{\boldsymbol{I I}}<\boldsymbol{E}_{\boldsymbol{I I I}} . \) If \( \boldsymbol{\lambda}_{1}, \boldsymbol{\lambda}_{2}, \boldsymbol{\lambda}_{3} \) be the wavelengths of radiations corresponding to the transitions III to II II to I and III to I respectively, which of the following relations is correct? A. \( \lambda_{1}=\lambda_{2}+\lambda_{3} \) B. \( \lambda_{3}=\frac{\lambda \lambda_{2}}{\lambda_{1}+2_{2}} \) c. \( \lambda_{1}+\lambda_{2}+\lambda_{3}=0 \) D \( \cdot \lambda \frac{2}{3}=\lambda_{1}^{2}+\lambda \frac{2}{2} \)
3
Physics
In the above question, find out the magnitude of net force exerted by the pulley on the road \( \boldsymbol{R}_{\mathbf{1}} \) A \( .2 F \) в. \( F \) c. \( 2 \sqrt{2} F \) D. \( \frac{F}{\sqrt{2}} \)
3
Physics
Two clocks are being tested against a standard clock located in a nationa laboratory. At 12: 00: 00 noon bv the standard clock, the readings of the two clocks are: \( \begin{array}{lll} & \text { Clock 1 } & \text { Clock 2 } \\ \text { Monday } & 12: 00: 05 & 10: 15: 06 \\ \text { Tuesday } & 12: 01: 15 & 10: 14: 59 \\ \text { Wednesday } & 11: 59: 08 & 10: 15: 18 \\ \text { Thursday } & 12: 01: 50 & 10: 15: 07 \\ \text { Friday } & 11: 59: 15 & 10: 14: 53 \\ \text { Saturday } & 12: 01: 30 & 10: 15: 24 \\ \text { Sunday } & 12: 01: 19 & 10: 15: 11\end{array} \) If you are doing an experiment that requires precision time interval measurements, which of the two clocks will you prefer?
3
Physics
Among the alkali metals \( C s \) is the most reactive because: A. its incomplete shell is nearest to the nucleus B. it has a single electron in the valence shell C. it is the heaviest alkali metal D. its outermost electron is more loosely bound than the outermost electron ofthe other alkali metals
1
Chemistry
The ratio in which (2,3) divides the line segment joining (4,8),(-2,-7) is A. 2: 1 externally B. 2: 3 c. 4: 3 externally D. 1: 2
2
Maths
Which of the following ions is a good oxidising agent? \( A \cdot E u^{2} \) B. \( \mathrm{ce}^{4} \) \( c \cdot y b^{2} \) D. \( \mathrm{Sm}^{2+} \)
1
Chemistry
A dynamo makes 100 cycles per second. The frequency of the AC is A. \( 100 \mathrm{Hz} \) в. 200 нz c. 50 нz D. 400 нz
3
Physics
Calculate the forces \( F(y) \) associated with the following one-dimensional potential energies: (a) \( U=-\omega y \) (b) \( U=a y^{3}-b y^{2} \) \( (c) U=U_{0} \sin \beta \gamma \)
3
Physics
Find the distance between the parallel lines \( 3 x+2 y=7 \) and \( 9 x+6 y=5 \)
2
Maths
What is so important about the troposphere? A. Layer of water at or near Earths surface B. Contains ozone c. It contains weather and the oxygen that we breath D. All of the above
1
Chemistry
Represent the following mixed infinite decimal periodic fractions as common fractions: \( \left(\frac{1}{a-\sqrt{2}}-\frac{a^{2}+4}{a^{3}-\sqrt{8}}\right) \) \( \left(\frac{a}{\sqrt{2}}+1+\frac{\sqrt{2}}{a}\right)^{-1} \)
2
Maths
When 100 g of a saturated solution is evaporated at \( 50^{\circ} \mathrm{C}, 50 \mathrm{g} \) of solid is left over. Find the solubility of the substance at \( 50^{\circ} \mathrm{C} \) A . 100 B. 50 c. 75 D. 28
1
Chemistry
Find the direction ratio of the line \( \frac{x-1}{2}=3 y=\frac{2 z+3}{4} \)
2
Maths
\( \ln \) an \( A C \) circuit, voltage \( V=V_{0} \sin \omega t \) and inductor L is connected across the circuit.Then the instantaneous power will be \( ^{\mathrm{A}} \cdot \frac{V_{0}^{2}}{2 \omega L} \sin \omega t \) B. \( \frac{-V_{-}^{2}}{2 \omega L} \) sinwt c. \( \frac{-V_{0}^{2}}{2 \omega L} \sin 2 \omega t \) D. \( \frac{V_{0}^{2}}{\omega L} \sin 2 \omega t \)
3
Physics
Find the number of nitrates which gives \( N O_{2} \) gas on heating from the following: Nitrogen dioxide is released on heating: \( N H_{4} N O_{3}, K N O_{3}, N a N O_{2}, P b\left(N O_{3}\right)_{2} \)
1
Chemistry
Evaluate the integral \( \int_{-1}^{1}(\sqrt{1-x+x^{2}}-\sqrt{1+x+x^{2}}) d x \) \( A \cdot \frac{1}{2} \) в. c. 0 \( D \)
2
Maths
connected across a \( 4 m \) long uniform wire having resistance \( 4 \Omega / m . \) The cells of small emfs \( \epsilon_{1}=2 V \) and \( \epsilon_{2}=4 V \) having internal resistance \( 2 \Omega \) and \( 6 \Omega \) respectively, are connected as shown in the figure. If galvanometer shows no deflection at the point \( N, \) the distance of point \( N \) from the point \( A \) is equal to \( A \cdot \underline{1}_{-} \) \( B \cdot 1 \) \( -n \) c. \( 25 \mathrm{cm} \) D. 50
3
Physics
The \( p H \) of a \( 0.02 M \) ammonia solution which is \( 5 \% \) ionized will be: \( A \cdot 2 \) B. 5 \( c \cdot 7 \) D. 11
1
Chemistry
Differentiate the following functions w.r.t. \( \boldsymbol{x} \) \( e^{\operatorname{cosec}^{2} x} \)
2
Maths
Assertion If refractive index of one medium is equal to refractive index of second medium, then beam does not bend at all. Reason The bending of light does not depend on refractive indices of media. 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
Identify the correct order of reactivity in electrophilic substitution reactions of the following compounds: \( A \cdot|>||>|||>\mid V \) B. IV>|||> || > | c. ॥>।>॥|> >V D. II>III>1>IV
1
Chemistry
Construct a quadrilateral \( R E A D, \) when \( \boldsymbol{R} \boldsymbol{E}=\mathbf{3 . 5 1} \mathrm{cm}, \boldsymbol{E} \boldsymbol{A}=\mathbf{4 . 3} \mathrm{cm}, \boldsymbol{A D}= \) \( 4.8 \mathrm{cm}, \angle E=105^{\circ} \& \angle R=55^{\circ} \)
2
Maths
If the current in a primary coil of transformer decreases from \( 0.8 \mathrm{A} \) to 0.2 \( A \) in 4 millisecond, then calculate induced emf in the secondary coil [Coefficient of mutual induction is 1.76 \( \mathrm{H}] \)
3
Physics
The figure obtained by joining the midpoints of the sides of a rhombus taken in order is A . a square B. a rhombus c. a rectangle D. parallelogram
2
Maths
What is the density (in \( g m / \)lit ) of wet air with \( 75 \% \) relative humidity at 1 at and \( 300 K ? \) Given : vapour pressure of \( H_{2} O \) is 30 torr and average molar mass of air is \( 29 g / \) mol. Write as the nearest integer:
1
Chemistry
The angular momentum of an electron revolving in a circular orbit is What is its magnetic moment? A \( \cdot \frac{m}{2 e} \) B. \( \frac{e J}{2 m} \) \( c \cdot \frac{2 m}{e J} \) \( D \cdot \frac{e m J}{2} \)
3
Physics
A particle of mass \( m \) is moving in horizontal circle of radius \( r \) with uniform speed \( v \). When it moves from one point to a diametrically opposite point its A. KE changes by \( m v^{2} \). B. KE changes by \( \frac{1}{4} m v^{2} \). c. momentum does not change. D. momentum changes by \( 2 m v \)
3
Physics
In a uniform circular motion, the angle between the velocity and acceleration is \( \mathbf{A} \cdot \mathbf{0} \) B . \( 45^{\circ} \) \( c \cdot 60^{\circ} \) D. \( 75^{\circ} \) E \( .90^{\circ} \)
3
Physics
Diphenyl hydrazine is same as: A. azoxybenzene B. azobenzene c. hydrazobenzene D. aniline
1
Chemistry
What are the various energy transformations that occur when you are riding a bicycle?
3
Physics
Calculate the solubility of \( A g C N \) in a buffer solution of \( \boldsymbol{p} \boldsymbol{H}=\mathbf{3 . 0} \) \( \boldsymbol{K}_{s p}(\boldsymbol{A} \boldsymbol{g} \boldsymbol{C} \boldsymbol{N})=\mathbf{1 . 2} \times \) \( \mathbf{1 0}^{-16}, \boldsymbol{K}_{\boldsymbol{a}}(\boldsymbol{H} \boldsymbol{C N})=\mathbf{4 . 8} \times \mathbf{1 0}^{-\mathbf{1 0}} . \) There is no \( C N^{-} \) or \( A g^{+} \) ion in the buffer previously.
1
Chemistry
Fibres are obtained from A. \( \mathrm{Xylem}, \) phloem and sclerenchyma B. Xylem, phloem, sclerenchyma and epidermis C . Xylem, parenchyma and epidermis D. Xylem, parenchyma and endodermis
0
Biology
In the electric field due to a point charge \( \boldsymbol{q}, \) a test charge is carried from \( A \) to the points \( B, C, D \) and \( E \) lying on the same circle around \( q \). The work done is A. the least along \( A B \) B. the least along \( A D \) C. zero along any one of the paths \( A B, A D, A C \) and \( A E \) D. the least along \( A E \).
3
Physics
Point charge \( q_{0} \) is placed inside a cone of base radius 'R', x distance below centre of the top surface as shown in figure.Find electric flux related to curved surface of the cone:- A \( \cdot \frac{q}{2 \varepsilon_{0}} \) в. \( \frac{q}{\varepsilon_{0}}-\frac{q}{2 \varepsilon_{0}}\left(1-\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \) c. \( \frac{q}{\varepsilon_{0}}\left(1-\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \) D. \( \frac{q}{\varepsilon_{0}} \times\left(\frac{x}{\sqrt{R^{2}+x^{2}}}\right) \)
3
Physics
Find out displacement of B till velocity becomes equal A. \( 7.5 \mathrm{m} \) B. 10 \( c \cdot 13.25 \mathrm{m} \) D. \( 12.5 \mathrm{m} \)
3
Physics
At low pressure, the fraction of the surface covered follows: A. zero-order kinetics B. first order kinetics c. second order kinetics D. fractional order kinetics
1
Chemistry
Assertion (A): Propagation of light through an optical fibre is due to total internal reflection taking place at the core-cladding interface. Reason (R) : Refractive index of the material of the core of the optical fibre is greater than that of air. A. Both (A) and (R) are true and (R) is the correct explanation of (A) B. Both (A) and (R) are true but (R) is not the correct explanation of (A) c. (A) is true and (R) is false D. (A) is false and (R) is true
3
Physics
The triad of nuclei that is isotonic is: \( \mathbf{A} \cdot_{6}^{14} C, \frac{15}{7} N,_{9}^{17} F \) В . \( _{6}^{12} C, \frac{14}{7} N, \) ' \( _{19}^{9} F \) \( \mathbf{C} \cdot_{6}^{14} C, \frac{14}{7} N,_{9}^{17} F \) \( \mathbf{D} \cdot_{6}^{14} C, \frac{14}{7} N, \frac{19}{9} F \)
1
Chemistry
I: If \( \mathrm{f}^{\prime}(\mathrm{a})<0 \) then the function \( \mathrm{f} \) is decreasing at \( \mathbf{x}=\mathbf{a} \) Il: If \( f \) is decreasing at \( x=a \) then \( \mathbf{f}^{\prime}(\mathbf{a})<\mathbf{0} \) Which of the above statements are true \( ? \) A. only B. only II c. both land II
2
Maths
The reagent that has action on glass is: A . aqua regia B. hydrofluoric acid c. oleum D. fuming nitric acid
1
Chemistry
Figure \( (3-E 6) \) shows \( x-t \) graph of a particle. Find the time \( t \) such that the average velocity of the particle during the period 0 to \( t \) is zero
3
Physics
"Of the alkali metal carbonates, only \( L i_{2} C O_{3} \) decomposes to give \( C O_{2} \) and metal oxide." Answer whether the above statement is true or false. If true enter 1 , else enter 0 .
1
Chemistry
A solution contains \( 3.22 g \) of \( H C l O_{2} \) in \( 47.0 g \) of water. The freezing point of the solution is \( 271.10 K \) Calculate the fraction of \( H C l O_{2} \) that undergoes dissociation to \( \boldsymbol{H}^{+} \) and \( C l O_{2}^{-} \) Given: \( \boldsymbol{K}_{f}(\boldsymbol{w} \boldsymbol{a} \boldsymbol{t e r})=\mathbf{1 . 8 6} \boldsymbol{K} \boldsymbol{k g} \boldsymbol{m o l}^{-1} \) B. \( \alpha=0.204 \) C . \( \alpha=0.30 \) D. \( \alpha=0.60 \)
1
Chemistry
Circular single stranded DNA occurs in bacteriophage \( \mathbf{A} \cdot T_{2}, T_{4} \) в. \( \phi \times 174, \) М 13 c. \( T_{3}, \phi 6 \) D. \( \delta, T_{5} \)
0
Biology
Term tertiary, secondary and primary amine represents the: A. number of amino groups B. nature of C atom c. degree of substitution on nitrogen D. degree of uunsaturation
1
Chemistry
The meiosis takes place in A. Apical meristem B. Inter calary meristem C. Reproductive cells D. Vegetative cells
0
Biology
What does this \( \lambda \) symbol indicates?
3
Physics
A chemist is preparing to analyse samples that will contain no more than \( 0.5 \mathrm{g} \) of uranium. His procedure calls for preparing the uranium as \( U^{4+} \) ion and oxidizing it by \( M n O_{4}^{-} \) in acid solution: \( \boldsymbol{U}^{4+}+\boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{U} \boldsymbol{O}_{2}^{2+}+ \) \( \boldsymbol{M} \boldsymbol{n}^{2+}+\boldsymbol{H}_{3} \boldsymbol{O}^{+} \) If he wants to react the total \( U^{4+} \) sample with a maximum of \( 50 \mathrm{ml} \) of \( K M n O_{4} \) solution, what concentration does he choose? \( (\mathrm{U}=238) \) A. 0.0336 M B. 0.0168 М c. 0.168 м D. 0.0672 M
1
Chemistry
Who among the following was a paleobotanist? A. P. Maheshwari B. S.R. Kashyap c. Birbal Sahni D. v. Purir
0
Biology
If \( \boldsymbol{f}(\boldsymbol{x})= \) \( \left\{\begin{array}{ccc}\sqrt{1+k x}-\sqrt{1-k x} & \text { for } & -1 \leq x<0 \\ x & \text { for } 0 \leq x<1\end{array}\right. \) is continuous at \( \boldsymbol{x}=\mathbf{0} \) then \( \boldsymbol{k}= \)
2
Maths
Which one of the following is a possibility for most of us in regard to breathing, by making a conscious effort? A. One can breathe out air totally without oxygen B. One can breathe out air through Eustachian tube by closing both nose and mouth c. one can consciously breathe in and breathe out by moving the diaphragm alone, without moving the ribs at all D. The lungs can be made fully empty by forcefully breathing out all air from them.
0
Biology
The amount of biodegradable organic matter in sewage water can be estimated by measuring A. Biochemical Oxygen Demand (BOD) B. The growth of anaerobic bacteria in water c. Biogeological oxygen demand D. The growth of aerobic bacteria in water
0
Biology
A rod of mass \( m \) spins with an angular speed \( \omega=\sqrt{g / l}, \) Find its a. Kinetic energy of rotation. b. kinetic energy of translation c. Total kinetic energy.
3
Physics
A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor?
3
Physics
\( 32 \% \) of the teachers in a school females and the number of male teachers is 85 Find the total number of teachers in the school.
2
Maths
The resultant magnetic moment due to two currents carrying concentric coils of radius \( r, \) mutually perpendicular to each other will be A. \( \sqrt{2} i \) B. \( \sqrt{2} i \pi r^{2} \) \( \mathbf{c} \cdot 2 \pi r^{2} \) D. \( \sqrt{2} i r^{2} \)
3
Physics
The electronic configuration, \( 1 s^{2}, 2 s^{2} 2 p^{6}, 3 s^{2} 3 p^{6}, 3 d^{9} \) represents a A. Metal atoms B. non metals atom c. non-metallic anionic D. metallic cation
1
Chemistry
The cost of \( 2 \mathrm{kg} \) of apples and \( 1 \mathrm{kg} \) of grapes on the day was found to be Rs. 160. After a month the cost of \( 4 \mathrm{kg} \) of apples \( 2 \mathrm{kg} \) of grapes is \( \mathrm{Rs} .300 \) Represent the situation algebraically.
2
Maths
The rate of change of the area of a circle with respect to its radius \( r \) at \( r=6 c m \) is. \( \mathbf{A} \cdot 10 \pi \) в. \( 12 \pi \) \( c \cdot 8 \pi \) D. \( 11 \pi \)
2
Maths
Calomel electrode is reversible with respect to: \( A \cdot H^{+} \) ions B. \( \mathrm{Hg}_{2}^{2+} \) ions c. \( \mathrm{cl}^{-} \) ions D. None of these
1
Chemistry
Fix up one end of a slinky to a hook and hold it horizontally. Vibrate the other end to and fro along the length of the spring. If you look the spring carefully, you will see some parts of the spring are pushed closer, while some other parts are pulled apart. A. the portions which are pushed closer are called compressions B. the portions which are pulled apart are called rarefactions c. both a and \( b \) D. none
3
Physics
In 1911, the physicist Emest Rutherford discovered that atoms have a tiny, dense nucleus by shooting positively charged particles at a very thin gold foil A key physical property which led Rutherford to use gold that it was. A. Electrically conducting B. Highly malleable c. shiny D. None-reactive
3
Physics
Area bounded by the parabola \( y^{2}=x- \) 3 and \( x=5, \) is \( \dots . s q \) units \( A \cdot \frac{8 \sqrt{2}}{3} \) B. \( 4 \sqrt{2} \) \( \mathrm{c} \cdot 3 \sqrt{2} \) D. \( 5 \sqrt{2} \)
2
Maths
The deflection of the magnetic needle in the galvanoscope connected to the stationary circular coil AB(see figure) increases if A. The strength of the magnet is decreased B. The velocity of the magnet is increased c. The number of turns in the coil is increased D. Both B and C
3
Physics
Why are in the household electric circuits the electric appliances (instruments) connected in parallel combination?
3
Physics
Before Robert Norman worked on 'Dip and Field Concept', his predecessor thought that the tendency of the magnetic needle to swing towards the poles was due to a point attractive. However, Norman showed with the help of experiment that nothing like point attractive exists. Instead, he argued that magnetic power lies is lodestone. Which one of the following is the problem on which Norman and others worked? A. Existence of point attractive B. Magnetic power in lodestone c. Magnetic power in needle D. swinging of magnetic needle
2
Maths
Blood circulation that starts in capillaries and ends in capillaries is called A. Portal circulation B. Hepatic circulation c. cardiac arrest D. None of the above
0
Biology
Which of the following elements does not belong to p-block? A . sr B. Po c. As D. Ga
1
Chemistry
Which among the following substances is not a component of the mixture used for glazing pottery? A. Feldspar B. Silica c. Borax D. Alumina
1
Chemistry
In dicot roots, cells of which of the following region show Casparian strips? A. Cambium B. Endodermis c. Pericycle D. Hypodermis
0
Biology
Find number of \( p \pi-d \pi \) bonds in (a) Disulphate (b) triphosphate trimetaphosphate (d) trimer of \( S O_{3} \) \( (e) P_{4} O_{10} \) \( (f) P_{4} O_{6} \)
1
Chemistry
Chlorine reacts with excess of ammonia to form: A \( \cdot N H_{4} C l \) в. \( N_{2}+H C l \) c. \( N_{2}+N H_{4} C l \) D. \( N_{2}+H C l_{3} \)
1
Chemistry
\( \operatorname{Let} \mathbf{L}=\lim _{\mathbf{x} \rightarrow 0}= \) \( \frac{\boldsymbol{a}-\sqrt{\boldsymbol{a}^{2}-\boldsymbol{x}^{2}}-\frac{\boldsymbol{x}^{2}}{\boldsymbol{4}}}{\boldsymbol{x}^{4}}, \boldsymbol{a}>0 \) If \( \boldsymbol{L} \) is finite then This question has multiple correct options \( \mathbf{A} \cdot a=2 \) B. \( a=1 \) \( c \cdot_{L}=\frac{1}{64} \) D. \( L=\frac{1}{32} \)
2
Maths
The atrio-ventricular node is situated A. Near the bicuspid valve B. In between the atrium c. At the base of inter-auricular septumm D. In the interventricular septum
0
Biology
In the given circuit, the value of resistance effect of the coil Lis exactly equal to the resistance R. Bulbs B1 and B2 are exactly identical. Answer the following question. a) Which one of the two bulbs lights up earlier, when key k is closed and why? b) What will be the comparative brightness of the two bulbs after sometime if the key \( \mathrm{K} \) is kept closed and why?
3
Physics
The magnetic field due to a current carrying circular loop of radius \( 3 \mathrm{m} \) at a point on the axis at a distance of \( 4 \mathrm{m} \) from the centre is \( 54 \mu T . \) What will be its value at the centre of the loop? A. \( 250 \mu T \) в. \( 150 \mu T \) c. \( 125 \mu T \) D. \( 75 \mu T \)
3
Physics
Q Type your question. \( H C l \) at \( 0-5^{\circ} C, \) and this mixture is added to p-toludine (p-methyl aniline)? \( A \) 3 \( c \) \( D \)
1
Chemistry
Which of the following atoms should have the highest 1st electron affinity? A. \( F \) B. \( O \) \( c . N \) D. \( C l \)
1
Chemistry
Consider the time interval \( t=2.0 s \) to \( \boldsymbol{t}=\mathbf{4} . \mathbf{0} \boldsymbol{s} \) The magnetic field is perpendicular to the plane of the loop.
3
Physics
For two given events \( \boldsymbol{A} \) and \( \boldsymbol{B}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B}) \) is : This question has multiple correct options A. not less than \( P(A)+P(B)-1 \) B. not greater than \( P(A)+P(B) \) c. equal to \( P(A)+P(B)-P(A \cup B) \) D. equal to \( P(A)+P(B)+P(A \cap B) \)
2
Maths
The concentration of a solution is \( \mathbf{1 0}^{-4} \boldsymbol{M} \) for \( \boldsymbol{C l}^{-}, \mathbf{1 0}^{-\mathbf{5}} \boldsymbol{M} \) for \( \boldsymbol{B r}^{-} \) and \( 10^{-3} \mathrm{M} \) for \( I^{-} . A g N O_{3}(s) \) is added slowly to the solution. If the minimum concentration of \( \boldsymbol{A} \boldsymbol{g}^{+} \) required to start precipitation of all three ions is \( 10^{-x} \) then the value of \( x \) is \( \left[\text { Given, } \boldsymbol{K}_{s p(A g C l)}=\mathbf{1 0}^{-\mathbf{1 0}}, \boldsymbol{K}_{s p(A g B r)}=\right. \) \( \left.\mathbf{1 0}^{-\mathbf{1 3}}, \boldsymbol{K}_{\boldsymbol{s p}(\boldsymbol{A g I})}=\mathbf{1 0}^{-\mathbf{1 7}}\right] \)
1
Chemistry
Assertion \( (A): H_{2} S \) is more volatile than \( \boldsymbol{H}_{2} \boldsymbol{O} \) Reason (R): Oxygen atom is smaller in size as compared to sulphur. A. Both \( A \) and \( R \) are true and \( R \) is the correct explanation of \( A \) B. Both \( A \) and \( R \) are true and \( R \) is not the correct explanation of c. \( A \) is true but \( R \) is false D. \( A \) is false but \( R \) is true
1
Chemistry
Sodium metal should be stored under kerosene.
1
Chemistry
Faraday's laws of electrolysis are related to the: A. the atomic number of the cation B. the atomic number of anion c. the equivalent weight of the electrolyte D. the speed of the cation
1
Chemistry
If four moles of electrons are transferred from anode to cathode in a experiment on electrolysis of water, then total volume of the two gases produced at STP will be: \( \mathbf{A} \cdot 224 L \) B. \( 72.6 L \) c. \( 67.2 L \) D. \( 89.4 L \)
1
Chemistry
A car is moving with speed \( 10 m / s \) on a circle path of radius \( 2 m \). If speed is increasing at the rate of \( 10 m / s^{2} . \) The acceleration of car is \( \mathbf{A} \cdot \sqrt{26} m / s^{2} \) B . \( 10 \sqrt{26} \mathrm{m} / \mathrm{s}^{2} \) \( \mathbf{c} \cdot 5 \sqrt{26} m / s^{2} \) D. \( 10 \sqrt{13} \mathrm{m} / \mathrm{s}^{2} \)
3
Physics
Write the symbols of the first ten elements in the periodic table with the atomic numbers.
1
Chemistry
Consider the reaction of chloromethane with \( O H^{-} \) in aqueous solution \( \boldsymbol{C H}_{3} \boldsymbol{C l}(\boldsymbol{a q})+ \) \( O H(a q) \stackrel{K_{f}}{\underbrace{K_{r}}} C H_{3} O H(a q)+C l(a q) \) At \( 25^{\circ} C, \) the rate constant for the forward reaction is \( 6 \times 10^{6} M^{1} s^{-1}, \) and the equilibrium constant \( K_{c} \) is \( 1 \times 10^{16} \) Calculate the rate constant for the reverse reaction at \( 25^{\circ} C \) A \( .3 \times 10^{22} \) B . \( 6 \times 10^{22} \) C \( \cdot 12 \times 10^{22} \) D. \( 12 \times 10^{23} \)
1
Chemistry
Which one of the following is used as a test for aliphatic primary amines? A. Tollen's test B. Fehling's lest c. Isocyanide test D. Azo dye test E. Phthalein fusion test
1
Chemistry
Assertion Chlorine gas disproportionate in hot \( \& \) conc. NaOH solution Reason NaCl and NaOCl are formed in the above reaction. 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