A stationary wave is represented by\[\operatorname{y} =A sin\left( 100 t \right)\,cos \left( 0.01\,x \right)\], where y and A are in millimetres, t is in seconds and x is in metre. The velocity of the wave is
A parallel plate capacitor of area A, plate separation d and capacitance C is filled with two B different dielectric materials having dielectric constant \[{{k}_{1}},\,\,{{k}_{2}}\] as shown in figure. If a single dielectric material is used to have the same capacitance C in this capacitor, then its equivalent dielectric constant k is given by
Block A of weight 100 kg rests on a block B and is tied with a horizontal string to the wall at Block B weighs 200 kg. The coefficients of friction between A and B is 0.25 and between B and surface is 1/3. The horizontal force F necessary to move the block B should be \[(g=10\,\,m{{s}^{-\,2}})\]
The following diagrams shows arrangement for meter bridge experiment. The balance length XY corresponding to null deflection of the galvanometer is x. What would be the balance length, if radius of wire of XZ is doubled?
A stone tied to a string is rotated in a vertical plane. If mass of the stone is m, the length of the string is r and the linear speed of the stone is v when the stone is at its lowest point, then the tension in the string will be \[(g= acceleration due to gravity)\]
In the given circuit, the reading of voltmeter \[{{V}_{L}}\,\,and\,\,{{V}_{C}}\] are 300 V each. The reading of the voltmeter \[{{V}_{R}}\] and ammeter A are respectively
Two periodic waves of intensities \[{{I}_{1}}\,\,and\,\,{{I}_{2}}\] pass through a region at the same time in the same direction. The sum of maximum and minimum intensities is
If the refractive index of water is 4/3 and that of given slab of glass immersed in it is 5/3, what is the critical angle for a ray of light tending to go from glass to water?
A)
\[{{\sin }^{-\,1}}\,\left( \frac{3}{4} \right)\]
doneclear
B)
\[{{\sin }^{-\,1}}\,\left( \frac{3}{5} \right)\]
doneclear
C)
\[{{\sin }^{-\,1}}\,\left( \frac{4}{5} \right)\]
doneclear
D)
Data given are insufficient to make any calculation
A convex lens, of focal length 10 cm is made of glass having\[\mu =\frac{3}{2}\]. What will be the focal length of this lens, if it is immersed in liquid of\[\mu =\frac{5}{4}\]?
If \[{{\lambda }_{1}},\,\,{{\lambda }_{2}}\,\,and\,\,{{\lambda }_{3}}\] are wavelength of waves giving resonance with fundamental, first and second overtones respectively of a closed organ pipe, then the ratio of wavelengths
Two rods of equal length and equal cross-sectional area are kept parallel to each other with temperature difference of\[40{}^\circ C and 80{}^\circ C\]. The ratio of the effective thermal conductivity to that of first rod is \[(given\,\,\,{{k}_{1}}:{{k}_{2}}=1\,\,:\,\,2)\]
Two polaroids are crossed. If now one of them is rotated through \[30{}^\circ \] and unpolarised light of intensity \[{{I}_{0}}\] a incident on the first polaroid, then the intensity of transmitted light will be
A metal disc of radius r floats on the surface of water. The water layer goes down and makes an angle 9 with the vertical edge of the disc. If it displaces a weight w of water and the surface tension of water is T, then weight of disc is
In a given reaction\[_{Z}{{X}^{A}}\,\xrightarrow{{}}\,{{\,}_{Z+1}}{{Y}^{A}}\,\xrightarrow{{}}\,{{\,}_{Z-1}}{{K}^{A\,-\,4}}\,\xrightarrow{{}}{{\,}_{Z-1}}{{K}^{A-4}}\] Radioactive radiations are emitted in the sequence of
If a body travels uniformally a distance of \[\left( 8.0 \pm 0.8 \right) m\] in time \[\left( 2 \pm 0.5 \right) s\], then the percentage error in velocity is
A thin prism of angle \[15{}^\circ \] with refractive index \[{{\mu }_{1}}=1.5\] is combined with another prism of refractive index\[{{\mu }_{2}}=1.75\]. The combination of prism produces dispersion without deviation. The angle of second prism is
White light is used to illuminate the two slits in a Young?s double slit experiment. The separation between slits is b and the screen is at a distance \[d(>>b)\] from the slits. At a point on the screen directly in front of one the slits, certain wavelengths are missing. One of the missing wavelengths is
The displacement-time graph for two particles M and N are straight lines inclined at angles of \[30{}^\circ and 60{}^\circ \] with time axis as shown in figure. The ratio of the velocities \[{{\nu }_{m}}:{{\nu }_{n}}\] will be
A short bar magnet of magnetic moment \[0.5 J\,T{{\,}^{-}}^{1}\] is placed in a uniform magnetic filed of 0.4 T. The magnet is in stable equilibrium when potential energy is
The Rydberg constant for an electron revolving around hydrogen atom is R. The Rydberg constant for electron revolving about 10 times ionised sodium atom will be
Two parallel wires in free space are separated by a distance of 10 cm and each carries a current of 10 A in the same direction. The force exerted by one wire on other per unit length is
The diode used in the circuit shown in the figure has a constant voltage drop of 0.5 V at all currents and maximum power rating of 100 m-W. What should be the value of the resistor R, connected in series with the diode, for obtaining maximum current I?
If two SHM's with same time period and same amplitudes are acting together in perpendicular directions with a phase difference of \[\pi /2\], then the motion will be
The coefficient of linear expansion of aluminium and steel are \[{{\alpha }_{1}}\,\,and\,\,{{\alpha }_{2}}\] respectively. If the length of aluminium rod is \[{{L}_{1}}\] and length of steel rod is \[{{L}_{2}}\] at \[0{}^\circ C\], then difference in their length \[\left( {{L}_{1}}-{{L}_{2}} \right)\] will remain same at different temperature if
The escape velocity of a body on the surface of the earth is 11.2 km/s. If earth's mass is increases to twice of present value and radius becomes half, the escape velocity will be
A disc is rotating with angular speed \[\omega \] on a horizontal plane with its axis of rotation perpendicular to plane a passing through its centre. If a fly sits on it, what is conserved?
Two springs M and N having spring constant \[{{k}_{M}}\,\,and\,\,{{k}_{N}}\] such that \[{{k}_{M}}\,\,and\,\,2{{k}_{N}}\], are stretched by applying force of equal magnitude. If energy stored in M is \[{{E}_{M}}\], then energy stored in N is
A body is projected with velocity \[{{\nu }_{1}}\] at angle \[60{}^\circ \] point A as shown in figure, at the same instant another body is projected vertically upward with velocity \[{{\nu }_{2}}\] from point B (as shown in figure). The value of \[\frac{{{\nu }_{1}}}{{{\nu }_{2}}}\] so that both bodies will collide
If a boy travels the first half distance with speed \[{{\nu }_{1}}\] and second half distance with speed \[{{\nu }_{2}}\], then the average speed during complete journey is
A metal M \[\left( Z = 40 \right)\] depending on temperature crystallises in FCC and BCC crystal structure whose unit length areas are 3.5 and \[3\overset{{}^\circ }{\mathop{A}}\,\] respectively. The ratio of its density in FCC and BCC is
Naphthalene is the simplest poly cyclic aromatic hydrocarbon. Naphthalene and NaCl both are crystalline solids but naphthalene has a characteristic odour that is detectable at concentration as low as 0.08 ppm by mass. Mixture of naphthalene and sodium chloride can easily be separated by
From VSEPR theory, we know central atoms are surrounded by both bonded and lone pair of electrons, give rise to an irregular geometry in molecule on account of different repulsive, interactions between electron pairs. Then which of the following is isostructural with \[{{C}_{2}}{{H}_{2}}\]?
In summer, rancidity of food items is common which changes the smell and taste of the food items. To prevent it antioxidant is added to food. Among the following, which one is used as an antioxidant in food?
In heavily industrialized regions of the world, chemical pollution tends to be the greatest problem, whereas in developing countries provision of drinking water is a major problem. Which of the following is responsible for minimata disease?
The most basic property of a polymer is the identity of its constituent monomers. A second set of properties, known as microstructure essentially describe the arrangement of these monomers within the polymer at the scale of a single chain. Orion is a polymer of
A hormone is a class of regulatory biochemical produced in particular part of organisms by specific cells, glands or tissues and then transported by the blood stream to the other part of the body. Which of the following protein acts as a hormone?
A 0.025 m solution of monobasic acid had a freezing point of \[-\,0.060{}^\circ C\]. The \[p{{K}_{a}}\] for the acid is \[({{K}_{b}}\,\,=\,\,1.86\,K-kg\,\,mo{{l}^{-\,1}})\]
In phenol the \[-OH\] group shows +R and -I effects and here activate the benzene ring towards electrophilic substitution reactions. Phenol on reaction with \[\operatorname{HCN}/HCl\] in presence of \[AlC{{l}_{3}}\] produces
There are substantial solvent effects in the Claisen reaction, more polar solvents tend to accelerate to a greater extend. Which of the following reaction is an example of Claisen rearrangement?
The substance obtained in between the reactant and the product. Sometimes, the intermediates may be quite stable enough. Intermediate involved in formation of pinacolone is
The Wittig reaction is a chemical reaction of an aldehyde or ketone with a triphenyl phosphonium slide (Wittig reagent). The product obtained by the reaction of cyclopentanone with Wittig reagent is
10 \[{{\operatorname{Cl}}^{-}}(aq)+2MnO_{4}^{-}\,(aq)\,\,+\,\,16{{H}^{+}}\,(aq)\]\[\,\,5C{{l}_{2}}\,(g)\,\,+\,\,2\,M{{n}^{2+}}\,(aq)\,\,+\,\,8{{H}_{2}}O\,(l)\]. The value of \[E{}^\circ \] for this reaction is 0.15 V. What is the value of the equilibrium constant (K) for this reaction?
Hg shows two oxidation states (I) and (II) in its compound. Chemistry of Hg (I) is interesting as \[H{{g}^{+}}\] does exist. \[{{\operatorname{Hg}}_{2}}C{{l}_{2}}\] on treatment with alkali gives red solid which one is that
Hydrogen reacts with different elements to form variety of hydrides. Their stability depends upon lattice energy and ionic character. Covalent hydride is most common type of hydrides. Find from the following which is polymeric hydride.
WH Bragg pointed out that the scattering of X-rays by crystals could be considered as reflection from successive planes of atoms in the crystals. Which of the following equation represents Braggs equation?
The coordination number of a central atom in a molecules or crystal is the number of its nearest neighbours. The coordination number of sodium in \[{{\operatorname{Na}}_{2}}O\] is
For a first order chemical reaction, rate constant was found to be \[1.15\,\,\times \,\,{{10}^{-}}^{3}{{s}^{-}}^{1}\]. How long will it take to reduce 5 g of reactant to 3 g?
The relationship between the extent of adsorption and pressure of the gas at constant temperature is known as adsorption isotherm. Which of the following is correct regarding adsorption?
Addition of 0.643 g of a compound to 50 mL of benzene\[\left( density = 0.879 g m{{L}^{-}}^{1} \right)\], lowers the freezing point from \[50.51{}^\circ C \,to \,50.03{}^\circ C\]. If \[{{K}_{f}}\] for benzene is 5.12, the molecular mass of the compound is
Using stoichiometric calculation, the amounts of one or more reactant (s) required to produce a particular amount of product can be measured and vice-versa. The amount of substance present in a given volume of a solution s expressed in number of ways, e.g., molarity, molality and normality. Normality of \[10%\] (wt/vol) acetic acid is
The transition elements vary widely in their chemical behaviour. Many of them are sufficiently electropositive a dissolve in mineral acids, although a few are noble of the first series, except copper, all the metals are relatively reactive. Transition elements show variable valency due to
A compound \[\operatorname{Co}{{\left( en \right)}_{2}} \cdot {{\left( N{{O}_{2}} \right)}_{2}}Cl\] exists in different isomeric forms (i.e. A, B and C) with the characteristic? properties as given below\[\operatorname{Co}{{\left( en \right)}_{2}} \cdot {{\left( N{{O}_{2}} \right)}_{2}}Cl\]
What is the value of de-Broglie wavelength for an a-particle having mass \[6.6 \times 1{{0}^{27}}kg\] moving with a speed of \[1{{0}^{5}}cm{{s}^{-}}^{1}\]?
Line spectrum of element is unique and there is regularity in the line spectrum of each element. Which of the following line is observed in line spectrum of hydrogen atom?
Dihydrogen on the industrial scale is prepared by the water gas shift reaction from petrochemical. It is obtained as a byproduct by the electrolysis of brine. Which of the following is not true regarding hydrogen?
A)
Hydrogen forms complexes in +1 as well as -1 oxidation state
doneclear
B)
Hydrogen has more than one isotope
doneclear
C)
Hydrogen has mainly two allotropes
doneclear
D)
Sum of electron, proton and neutron of lightest isotope of hydrogen is one
Alkali metals and alkaline earth metals are s-block elements, electropositive in nature and form electrovalent compounds. Some of such metals are very essential for living organisms. Which of the following is incorrect regarding biological significance of Mg, Ca, Na and K ions?
A)
\[N{{a}^{+}}\] is present outside the cell while \[{{K}^{+}}\] is present inside the cell
doneclear
B)
\[N{{a}^{+}}\] is present inside the cell while \[{{K}^{+}}\] is present outside the cell
doneclear
C)
\[C{{a}^{2+}}\] is present as apatite in teeth
doneclear
D)
\[M{{g}^{2+}}\] is an essential constituent found in leaf of plants
Boron exist in two allotropic forms called amorphous and crystalline forms. Amorphous boron is a brown powder of specific gravity 2.34. The crystalline boron exists in several different modification. The structure of crystalline boron is
For the equilibrium in a closed vessel\[PC{{l}_{5}}(g)\,\,\,\,PC{{l}_{3}}(g)+C{{l}_{2}}(g)\]\[{{K}_{p}}\] is found to be double of \[{{K}_{c}}\]. This attained when
An acid-base indicator has a \[{{\operatorname{K}}_{a}}\,\,of\, 3 \times 1{{0}^{-5}}\]. The acid form of the indicator is red and the basic form is blue. The change in \[{{H}^{+}}\] concentration \[\left( which is 9 \times \,\,{{10}^{-}}^{5} \right)\] in order to change the indicator from \[25\,%\] red to \[75\,%\] blue is
When concentration approaches zero, the molar conductivity is known as limiting molar conductivity and represented by\[\Lambda {{{}^\circ }_{M}}\]. Which of the following is correct order of molar conductivity at infinite dilution?
A diagram obtained from electron micrograph is given below. The is an excellent example of ...X... organisation of gene in which the numeric segments represent ...V... while, the alphabetical segments represent ...Z... In the given statement X, Y and Z stand for
The two molecules of pyruvate are completely degraded in Krebs cycle to form how many molecules of ATP, \[NAD{{H}_{2}}\,\,and\,\,FAD{{H}_{2}}\] respectively.
Photosynthesis consists of essentially two biological reactions, one followed by the other, the second of these reaction involve which of the following event given in the options?
Placenta is the intimate connection between foetus and uterine wall of the mother to exchange of materials. Haemochorial type of placenta is exemplified by
Biotic or natural succession is the natural development of a series of biotic communities at the same site one at for other. Lichen is pioneer in which type of succession
Conservation of biodiversity can be done generally by ex situ and in situ conservation. One of the ex situ conservation methods for endangered species is
Genetically Modified Organism (GMO) is the varieties which are obtained by introducing foreign genes by biotechnology application. In India GM brinjal has been developed for
In India hot spots covers less than ... [A].. % of the total area but contain ... [B].. % of the species. If they are properly conserved, they will reduce extinction by about \[30%\] choose the correct choices for A and B from given option
Hormones are the important chemicals which are essential for the normal growth and development for plants and animals. In plants which of the following is similar to steroidal hormone?
I. ATP synthesis in mitochondria occurs in \[{{F}_{1}}\] particles or oxysomes present on cristae.
II. If volume of \[C{{O}_{2}}\] liberated during respiration is more than volume of \[{{O}_{2}}\] used, so RQ will be more than one and hence respiratory substrate is organic acid.
III. Photorespiration is present in \[{{C}_{4}}-plants\].