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Plot a graph showing variation of capacitive reactance with the change in the frequency of the \( A C \) source.
3
Physics
Which of the following has the dimension of \( M L^{0} T^{-2} ? \) A. Coefficient of viscosity B. Surface tension c. Vapour pressure D. Kinetic energy
1
Chemistry
Hybridization of \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\mathbf{4}} \) is: \( A \cdot s p^{3} \) В . \( d s p^{2} \) c. \( s p^{3} d^{2} \) D. \( s p^{3} d \)
1
Chemistry
High voltage transmission results in lower current and hence lower heat loss. AC is preferred over DC because A. Voltage level transformation is easier in AC at same power levels. B. Voltage level transformation is easier in DC at same power levels. c. Ac voltage levels are always greater than DC voltage levels D. None of the above
3
Physics
When a steady current of \( 1 A \) flows through a copper wire, the number of electrons crossing any cross-section area of the wire in one second is A \( \cdot 6.25 \times 10^{16} \) B . \( 6.25 \times 10^{18} \) \( \mathbf{c} \cdot 625 \times 10^{18} \) D. \( 6.25 \times 10^{20} \)
3
Physics
Carbon cannot be used in the reduction of \( A l_{2} O_{3} \) because: A. It is expensive B. The enthalpy of formation of \( C O_{2} \) is more than that of \( A l_{2} O_{3} \) C. Pure carbon is not easily available D. The enthalpy of formation of \( A l_{2} O_{3} \) is too high
1
Chemistry
A square plate of edge 'a' and a circular disc of same diameter are placed touching each other at the midpoint of an edge of the plate as shown in figure. If mass per unit area for the two plates are same then find the distance of centre of mass of the system from the centre of the disc.
3
Physics
A door of length \( 2 m \) and breadth 1 m is fitted in a wall. The length of the wall is 4.5 and the breadth is 3.6 m. Find the \( \operatorname{cost} \) of the wall washing the wall, if the rate white washing the wall is \( R s .20 \) per \( \boldsymbol{m}^{2} \)
2
Maths
State True or False. The plot of \( P V \) vs \( P \) at particular temperature is called isobar. A. True B. False
1
Chemistry
In the reaction \( \boldsymbol{B C l}_{3}+\boldsymbol{P H}_{3} \rightarrow \) \( \left[\boldsymbol{C l}_{3} \boldsymbol{B} \leftarrow \boldsymbol{P} \boldsymbol{H}_{3}\right] \) the Lewis base is: \( \mathbf{A} \cdot B C l_{3} \) в. \( P H_{3} \) c. both D. none of them
1
Chemistry
A cricket ball is rolled on ice with a velocity of \( 5.6 ~ m / s \) and comes to rest after traveling 8 m. Find the coefficient of friction. Given \( \boldsymbol{g}=\mathbf{9 . 8} \boldsymbol{m} / \boldsymbol{s}^{2} \)
3
Physics
In a unit cube, find the angle between the diagonal of the cube and a diagonal of a skew to it?
2
Maths
A one kilogram roll of copper wire has a resistance of \( 2 \Omega . \) The Ratio of resistance of \( 4 k g \) roll of copper wire of half the thickness of the wire to the first roll is A . 64 B. 32 c. 16 D. 4
3
Physics
Find the value of \( \cos ^{-1}\left(\cos \frac{13 \pi}{6}\right) \)
2
Maths
Though the stone tied to a thread is moved with a constant speed of \( 10 \mathrm{m} / \mathrm{s} \) along a circular path it's motion is called an acceleration motion.
3
Physics
The point in a Meter bridge is at \( 35.6 \mathrm{cm} . \) If the resistances in the gaps are interchanged,the new balance point is: A. \( 64.4 \mathrm{cm} \) B. \( 56 \mathrm{cm} \) c. 41.2 ст D. \( 56.7 \mathrm{cm} \)
3
Physics
Define Heredity. Give two examples.
0
Biology
Small amount of glucose and amino acids are absorbed by- This question has multiple correct options A. Simple diffusion B. Pinocytosis c. Facilitated diffusion D. Active transport
0
Biology
Let \( f(x) \) be a function such that \( \lim _{x \rightarrow 0} \frac{f(x)}{x}=1 . \) If \[ \lim _{x \rightarrow 0} \frac{x(1+a \cos x)-b \sin x}{\{f(x)\}^{3}}=1 \] then \( |a+b|= \)
2
Maths
Find the equations corresponding to following graph: A. \( y=-4 x-6 \) B. \( y=4 x-6 \) \( c \cdot y=4 x \) D. none of these
2
Maths
Integrate \( \frac{(x+12)}{(x+1)^{2}(x-2)} \)
2
Maths
The quantity of heat needed to raise the temperature of 'M' g of water from \( t_{1}^{o} C \) \( \operatorname{to} t_{2}^{o} C \) is \( M C\left(t_{2}-t_{1}\right) \) A. True B. False
3
Physics
The polarising angle for glass is: A. same for different kinds of glass B. different for different kinds of glass C. same for lights of all colours D. varies with time
3
Physics
The current that must flow through the coil of a galvanometer so as to produce a deflection of one division on its scale is called A. charge sensitivity of the galvanometer B. current sensitivity of the galvanometer c. micro-volt sensitivity D. none of the above
3
Physics
Identify the open curve. \( \mathbf{A} \cdot 1 \) only B. 4 only \( \mathrm{C} \cdot 1,4 \) only D. 1,2,3 only
2
Maths
Which of the following is used as preservative and flavoring agent? A. Phophoric acid B. Sulphuric acid c. citric acid D. Tartaric acid
1
Chemistry
"Xenon fluorides are Lewis acids and Lewis bases." If the given statement is true enter 1 else enter 0
1
Chemistry
Assertion Pascal's law is the working principle of a hydraulic lift Reason Pressure is thrust per unit area 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
\( 7.5 \mathrm{ml} \) of a gaseous hydrocarbon was exploded with \( 36 \mathrm{ml} \) of \( \mathrm{O}_{2} . \) On cooling, the volume of gases was found to be \( 28.5 \mathrm{ml}, 15 \mathrm{ml} \) of which was absorbed by KOH and the rest was absorbed in a solution of alkaline pyrogallol. The formula of hydrocarbon is: A. \( C_{2} H_{6} \) в. \( C_{2} H_{4} \) \( \mathbf{c} \cdot C_{3} H_{8} \) D. \( C_{3} H_{6} \)
1
Chemistry
In the expansion of \( (1+x)^{n} \) the coefficients of \( p^{t h} \) and \( (p+1)^{t h} \) terms are respectively \( p \) and \( q \) then \( p+q= \) \( \mathbf{A} \cdot \boldsymbol{n} \) B. \( n+1 \) \( c \cdot n+2 \) \( \mathbf{D} \cdot n+3 \)
2
Maths
According to Newton's second law of motion, the force acting on a body acts in the direction of : A. Velocity B. Acceleration c. Momentum D. wind velocity
3
Physics
If the resistance of a conductor is \( 5 \Omega \) at \( 50^{\circ} \mathrm{C} \& 7 \Omega \) at \( 100^{\circ} \mathrm{C}, \) then mean temperature coefficient of resistance (of material) is A \( \cdot 0.013 /^{\circ} \mathrm{C} \) B. 0.004/ \( ^{\circ} \mathrm{C} \) c. \( 0.006 /^{\circ} \mathrm{C} \) D. \( 0.008 /^{\circ} \mathrm{C} \)
3
Physics
Which of the following products is formed in good yield by the reduction of methyl 4-oxo-hexanoate \( (M) \) with Li \( A l H_{4} \) in ether? A. Methyl 4-hydroxyhexanoate B. 1,4-Hexanediol c. 4-Hydroxyhexanal D. 6 -Methoxy-3-hexanone
1
Chemistry
A block B of mass \( 4 \mathrm{kg} \) is placed on a rough horizontal plane. A time dependent horizontal plane. A time dependent horizontal force \( \boldsymbol{f}=\boldsymbol{k} \boldsymbol{t}^{2} \) acts on the block, \( k=2 N / s^{2} . \) The frictional force between the block and the plane at \( \boldsymbol{t}=2 \sec \) is \( \boldsymbol{\mu}=\mathbf{0 . 2} \) A . 4 N B. 8N c. 12 N D. zero
3
Physics
If \( \frac{x-3}{3+i}+\frac{y-3}{3-i}=i \) where \( x, y \in R \) then A. \( x=2 \) \& \( y=-8 \) B. \( x=-2 \) \& \( y=8 \) c. \( x=-2 \& y=-6 \) D. \( x=2 \) \& \( y=8 \)
2
Maths
What is Poling process?
1
Chemistry
\( " * " \) is said to be commutative in \( A \) for all \( a, b \epsilon A \) A \( . a+b=b+a \) B. \( a * b=b * a \) \( c \cdot a-b=b-a \) \( a \) D. \( a * b \neq b * a \)
2
Maths
Define uniform circular motion. A particle is travelling in a circle of diameter \( 15 m \). Calculate the distance covered and the displacement when it completes two rounds.
3
Physics
\( \ln \) a \( \Delta P Q R, \) if \( P Q=P R \) and \( \angle Q \) is twice that of \( \angle P, \) then \( \angle Q= \) A .72 B. 36 c. \( 144^{\circ} \) D. \( 108^{\circ} \)
2
Maths
The perimeter of the table. A \( .402 .60 \mathrm{cm} \) B. \( 522.60 \mathrm{cm} \) c. \( 342.60 \mathrm{cm} \) D. None of these
2
Maths
Which of the following statements is true? A. Normal is always perpendicular to the mirror B. Incident ray is always on the left side of the normal C. Reflected ray is always on the right side of the normal D. Both B and C are true
3
Physics
Which of the following dissolves more rapidly in blood haemoglobin than oxygen? A. Ozone B. Nitrous oxide c. sulphur dioxide D. Carbon monoxide
1
Chemistry
Function of moderator in a reactor is to A. slow down neutrons B. absorb neutrons c. speed up neutrons D. catalyse neutrons
3
Physics
Assertion Ionic reactions are not instantaneous. Reason Oppositely charged ions exert strong forces. 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
1
Chemistry
Find the volume(in \( \mathrm{cm}^{3} \) ) of a cuboid whose length \( =15 \mathrm{cm}, \) breadth \( =10 \mathrm{cm} \) and height \( =8 \mathrm{cm} \)
2
Maths
In the circuit shown in figure, \( \boldsymbol{E}_{1}= \) \( \mathbf{3} \boldsymbol{V}, \boldsymbol{E}_{2}=\mathbf{2} \boldsymbol{V}, \boldsymbol{E}_{3}=\mathbf{1} \boldsymbol{V} \) and \( \boldsymbol{r}_{\mathbf{1}}=\boldsymbol{r}_{\mathbf{2}}= \) \( r_{3}=1 o h m \) (a) Find the potential difference between the points \( A \) and \( B \) and the currents through each branch. (b) If \( r_{2} \) is short circuited and the point \( A \) is connected to point \( B \) through a resistance \( R, \) find the currents through \( \boldsymbol{E}_{1}, \boldsymbol{E}_{2}, \boldsymbol{E}_{3} \) and the resistor \( \boldsymbol{R} \)
3
Physics
If \( \boldsymbol{A}=\left(\begin{array}{c}-121 \\ 1 & 23\end{array}\right), B=(1) \) and \( C=(21) \) verify \( (A B) C=A(B C) \)
2
Maths
Which of the following is not a major greenhouse gas? A. Carbon dioxide B. Methane c. calcium carbonate D. water vapour
1
Chemistry
Which of the following show paramagnetism? This question has multiple correct options A \( \cdot N O_{2} \) B. \( N O \) \( c \cdot K O_{2} \) D. \( N a_{a} O \)
1
Chemistry
\( K M n O_{4} \) solution is: A . red B. purple c. orange D. green E. blue
1
Chemistry
The minus \( \operatorname{sign} \) in \( r a t e=-\frac{d[A]}{d t} \) indicates the concentration of the time. The rate of a reaction is always quantity. The rate of reaction increases with concentration of reactants. The blanks in the question corresponds to: A. decrease, products, positive, increase B. increase, reactants, negative, decrease c. decrease, reactants, positive, increase D. increase, products, positive, increase
1
Chemistry
How many mitotic divisions are needed for a single cell to make 128 cells? A. 7 B. 14 \( c \cdot 28 \) D. 32
0
Biology
Gabriel phthalimide reaction is used for the preparation of : A. Primary aromatic amines B. Secondary amines c. Primary aliphatic amines D. Tertiary amines
1
Chemistry
Which of the following functions represent a simple harmonic motion? \( \mathbf{A} \cdot \sin \omega t-\cos \omega t \) B. \( \sin ^{2} \omega t \) \( \mathbf{c} \cdot \sin \omega t+\sin ^{2} \omega t \) D. \( \sin \omega t-\sin ^{2} \omega t \)
3
Physics
Acid rain produced when rain mixes with gases such as sulphur dioxides. This will eventually result in: A. lowering of pH and change of temperature in ponds B. raising of pH in ponds, encouraging growth of microorganisms c. lowering of pH in ponds, limiting survival of aquatic organism D. raising of pH in ponds, limiting development of organisms
1
Chemistry
The four general methods of extracting metals are thermal, decomposition, displacement of one element by another, chemical reduction and electrolytic reduction. how are the group metals obtained and why are the other methods unsuitable?
1
Chemistry
Solve: \( \int \frac{\cos x}{1+\cos x} \)
2
Maths
\( \boldsymbol{I}-\boldsymbol{V} \) graph for a metallic wire at two different temperatures, \( \boldsymbol{T}_{1} \) and \( \boldsymbol{T}_{2} \) is a shown in the figure. Which of the two temperature is lower and why?
3
Physics
Give an account of the disorder of human respiratory system
0
Biology
Ethylenediamine displaces \( H_{2} O \) in the complex \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \) in three steps. \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+}+\boldsymbol{3} \boldsymbol{e n} \rightarrow\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{e n})_{3}\right]^{3+}+ \) \( 6 H_{2} O \) Stepwise formation constants are: \( \log K_{1}=4.34 \) \( \log K_{2}=3.31 \) \( \log K_{3}=2.05 \) Overall formation constant is \( \boldsymbol{A} \times \mathbf{1 0}^{\mathbf{2 B}} \) \( B \) in question is:
1
Chemistry
A metal cube of side length \( 8.0 \mathrm{cm} \) has its upper surface displaced with respect to the bottom by \( 0.10 m m \) when a tangential force of \( 4 \times 10^{9} \mathrm{N} \) is applied at the top with bottom surface fixed. The rigidity modulus of the material of the cube is : A \( \cdot 4 \times 10^{9} N / m^{2} \) B. \( 5 \times 10^{14} N / m^{2} \) c. \( 8 \times 10^{9} N / m^{2} \) D. \( 1 \times 10^{9} N / m^{2} \)
3
Physics
Cationic surfactants is/are: A. \( C_{17} H_{35} \)COONa в. \( C_{17} H_{35} \)СООК c \( \cdot C_{17} H_{35} S O_{3} N a \) D. \( C_{16} H_{33} N\left(C H_{3}\right)_{3} C l \)
1
Chemistry
Fill the columns and complete the given table. Give explanation for your answer
0
Biology
The left hand derivative of \( f(x)= \) \( [x] \sin \pi x \) at \( x=k, k \) is an integer, is \( \mathbf{A} \cdot(-1)^{k}(k-1) \pi \) B \cdot \( (-1)^{k-1}(k-1) \pi \) \( \mathbf{c} \cdot(-1)^{k} k \pi \) D. \( (-1)^{k-1} k \pi \)
2
Maths
If force \( F, \) work \( W \) and velocity \( v \) are taken as fundamental quantities, then the dimensional formula of time is :
3
Physics
Proximal convoluted tubule of nephron is responsible for A. Filtration of blood B. Maintenance of Glomerular Filtration Rate C. Selective reabsorption of glucose, amino acid, NaCl and water D. Reabsorption of salts only
0
Biology
The final product of setting of plaster of paris is A. gypsum B. anhydrite c. cement D. mortar
1
Chemistry
Which kind of isomerism is exhibited by octahedral complex \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4}\right. \) \( \left.\boldsymbol{B} \boldsymbol{r}_{2}\right] \boldsymbol{C l} ? \) A. Geometrical and ionization B. Geometrical and optical c. optical and ionization D. Geometrical only
1
Chemistry
Details of some gases taken at \( 273 \mathrm{K} \) temperature and 1 atm pressure are given in the table. \( \begin{array}{lll}\text { Gas } & \text { Volume (L) } & \text { Number of moles } \\ \text { Hydrogen } & 224 & 10 \\ \text { Helium } & 112 & 5 \\ \text { Oxygen } & 224 & 10 \\ & & \end{array} \) Ammonia 56 2.5 (a) On the basis of which gas law, the volume and the number of moles are given in the table? (b) Represent this gas law in mathematical form. (c) Among these, if the pressure of hydrogen gas is changed to 2 atm. Calculate the new volume.
1
Chemistry
\( A \) and \( B \) are two candidates seeking admission in I.I.T. The probability that \( \boldsymbol{A} \) is selected is 0.5 and the probability that both \( A \) and \( B \) are selected is atmost \( 0.3 . \) Is it possible that the probability of \( \boldsymbol{B} \) getting selected is \( \mathbf{0 . 9} \) ? If it is possible then enter 1 , else enter 0
2
Maths
Balloon type inflated persistent calyx is characteristic of A. Helianthus B. Colutea c. Physalis D. All of the above
0
Biology
A very thin metal sheet is inserted halfway between the parallel plates of an air-gap capacitor. The sheet is thin compared to the distance between the plates, and it does not touch either plate when fully inserted. The system had capacitance, \( C \), before the plate is inserted. What is the equivalent capacitance of the system after the sheet is fully inserted? \( ^{A} \cdot \frac{1}{4} C \) в. \( \frac{1}{2} C \) c. \( C \) D. \( 2 C \) E . \( 4 C \)
3
Physics
Length of one turn of DNA is \( A \cdot 3.4 \AA \) B. 34 \( \dot{A} \) \( c \cdot 20 \dot{A} \) D. 3.04 \( \hat{A} \)
0
Biology
Due to the weak Van der Waals' forces and less distance between the layers, graphite: A. show lubricating property B. has lusture c. is hexagonal D. is a good conductor of electricity
1
Chemistry
On a stationary sail boat, air is blown at the sails from a fan attached to the boat. The boat will A. remain at rest B. spin round c. move in the direction in which air is blown D. move in a direction opposite to that in which air is blown
3
Physics
Name the two major defects of an eye. Explain causes of their development and discuss methods of their correction.
3
Physics
\( A B C \) is a right angled triangle and 0 is the mid point of the side opposite to the right angle. Explain why \( O \) is equidistant from \( A, B \) and, \( C \)
2
Maths
Suppose \( \boldsymbol{f}(\boldsymbol{n})= \) \( \log _{2}(3) \cdot \log _{3}(4) \cdot \log _{4}(5) \dots \dots \log _{n-1}(n) \) then the sum \( \sum_{k=2}^{100} f\left(2^{k}\right)=\lambda \) then \( \frac{\lambda}{1683} \) is equal to?
2
Maths
Which element has the highest valency with respect to oxygen? A. Sodium B. Aluminium c. chlorine D. Sulphur
1
Chemistry
Assertion \( G_{1} \) phase is the interval between mitosis and initiation of DNA replication Reason The cell is metabolically inactive during \( G_{1} \) phase. 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
In an experiment, 20 g of vanadium \( (V) \) oxide (molar mass \( =182 \) g/mol) was reduced by excess of zinc dust in acidic solution to vanadium (II) ions. If the required number of moles of iodine to reoxidise vanadium (II) to \( V O^{2+} \) is \( 22 \times 10^{-x}, \) then what is the value of \( x ? \)
1
Chemistry
The process by which the cytoplasm of a cell divides to form two daughter cells. A. Cytokinesis B. Prophase c. Metaphase D. Anaphase E. Telophase
0
Biology
When an \( \alpha \) -particle of mass ' \( m^{\prime} \) moving with velocity \( ^{\prime} v^{\prime} \) bombards on a heavy nucleus of charge \( ^{\prime} Z e^{\prime}, \) its distance of closest approach from the nucleus depends on \( m \) as: A \( \cdot \frac{1}{m} \) в. \( \frac{1}{\sqrt{m}} \) c. \( \frac{1}{m^{2}} \) D. \( m \)
3
Physics
A body, projected vertically up with a velocity of \( 20 m s^{-1}, \) reaches a height of \( 20 m . \) If it is projected with a velocity of \( 40 m s^{-1}, \) then the maximum height reached by the body is: A . \( 20 m \) в. 10 т \( c .80 m \) D. \( 40 m \)
3
Physics
Which of the following is a transition element? A. Element with atomic number 2 B. Element with atomic number 7 c. Element with atomic number 19 D. Element with atomic number 35 E. Element with atomic number 74
1
Chemistry
Find the degree of the differential equation: \( \sqrt{1+x^{2}}=\frac{d y}{d x} \) \( A \cdot 2 \) B. \( c \cdot 4 \) D. None of these
2
Maths
\( \frac{1}{c},\left(\frac{1}{c a}\right)^{\frac{1}{2}}, \frac{1}{a} \) is in \( A \cdot A P \) в. GP \( c . \) не D. NONE
2
Maths
Then Answer: DC produced bisects BC at right angle. If true then enter 1 else if False enter 0
2
Maths
Which of the above represents the formula for the most common compound of \( X \) and \( Y ? \) Where \( X \) is \( C a \) and \( Y \) is \( F \) A. \( X_{2} Y \) \( Y \) в. \( X Y \) c. \( X Y_{2} \) D. \( X Y_{3} \) E. \( X Y_{4} \)
1
Chemistry
The pair of molecules in which one of the molecule has linear shape while another one has square based pyramid shape is: \( \mathbf{A} \cdot\left[B r_{3}^{-}, P F_{5}\right] \) в. \( C O_{2}, N F_{3} \) \( \mathrm{c} \cdot \mathrm{SO}_{2}, \mathrm{CIF}_{5} \) D \( \cdot\left[l_{3}^{-}, B r_{5}\right] \)
1
Chemistry
A battery jar contained a solution of copper sulfate. Two electrodes. one made of copper the other a metal object to be copper plated, were placed in the jar and connected to a source of direct current. Which of the following statements concerning this system is correct? A. The object to be placed is the anode B. Oxidation occurs at the anode c. The sulfate ions migrate toward the cathode D. The concentration of the copper sulfate solution increases as electrolysis proceeds E. The copper electrode increases in mass
1
Chemistry
Lymph is transported through the A. Lymph nodes B. Lymphocytes c. Lymph nerves D. Lymph vessels
0
Biology
Which of the following elements has lowest electronegativity? A. \( N a \) в. \( M g \) c. \( A l \) D. \( S \) i
1
Chemistry
Assertion (A): Aldehydes are one of the constituents of photochemical \( \operatorname{sinog} \) Reason (R): Aldehydes are produced by photochemical oxidation of hydrocarbons by ozone. 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 correct explanation of A. c. A is true and \( \mathrm{R} \) is false D. A is false and R is true
1
Chemistry
A Sound wave with an amplitude of \( 3 c m \) starts moving towards right from origin and gets reflected at a rigid wall after a second. If the velocity of the wave is \( 340 m s^{-1} \) and it has a wavelength of \( 2 m \) the equations of incident and reflected waves are A \( \cdot y=3 \times 10^{-2} \sin \pi(340 t-x), y=-3 x \) \( 10^{-2} \sin \pi(340 t+x) \) towards left B . \( y=4 \times 10^{-2} \sin \pi(340 t+x), y=-4 \times \) \( 10^{-2} \sin \pi(340 t+x) \) towards left C . \( y=5 \times 10^{-2} \sin \pi(340 t-x), y=-5 \times \) \( 10^{-2} \sin \pi(340 t-x) \) towards left D . \( y=6 \times 10^{-2} \sin \pi(340 t-x), y=-6 \times \) \[ 10^{-2} \sin \pi(340 t+x) \text { towards left } \]
3
Physics
The handles of cooking vessels are covered with plastic or wood because: A. They are beautiful. B. It is customary c. They are good conductors of heat D. They are bad conductors of heat
3
Physics
The work done by a force \( \overline{\boldsymbol{F}}= \) \( \left(-6 x^{3} i\right) N \) in displacing particle from \( \boldsymbol{x}=\boldsymbol{a} \boldsymbol{m} \boldsymbol{t} \boldsymbol{o} \boldsymbol{x}=-\boldsymbol{2} \boldsymbol{m} \) is
3
Physics
The maximum value of \( \left(\frac{\log x}{x}\right) \) is A \( \cdot\left(\frac{1}{e}\right. \) B. \( \frac{2}{e} \) \( c \cdot e \) D.
2
Maths
In a survey of 600 students in a school, (i) 160 students were found to be taking Tea 215 taking Coffee, 150 were taking both Tea and Coffee. (ii) 150 students were found to be taking tea and 225 taking coffee, 100 were taking both Tea and Coffee. Find how many students were taking neither tea nor coffee?
2
Maths
The largest sphere is carved out of a cube of a side \( 7 \mathrm{cm} . \) Find the volume of the sphere.
2
Maths