Water gas is a mixture of
The superposition of two harmonic oscillations of the same direction results in the oscillation of a point according to the law x = a cos 2.1t cos 50.0t, where t is expressed in seconds. Find the angular frequencies of the constituent oscillations and the period with which they beat.
A point participates simultaneously in two harmonic oscillations of the same direction: x1 = a cos wt and x2 = a cos 2wt.Find the maximum velocity of the point.
Using graphical means, find an amplitude a of oscillations resulting from the superposition of the following oscillations of the same direction:
(a) x1 =3 .0 cos (wt -1- π/3), x 2 =8 .0sin (wt π/6);
For a first order reaction A -> P, the temperature (T) dependent rate constant (k) was found to follow the equation
log k = – (2000) 1/T + 6.0. The pre-exponential factor A and the activation energy Ea, respectively, are
For the elementary reaction M -> N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M is
Consider a reaction aG + bH -> Products. When concentration of both the reactants G and H is doubled, the rate increases by eight times. However, when concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of the reaction is
A positron is emitted from 
. The ratio of the atomic mass and atomic number of the resulting nuclide is
The half life for decay of a radio active isotope is 14 hrs. Determine the fraction of radio isotope remaining undecayed after 30 hours
Half life of a chemical reaction at a particular concentration is 50 minutes. When the concentration of the reactant is doubled, the half life becomes 100 minutes, then the order of reaction is
The concentration of a reactant in a solution falls from 0.2 M to 0.1 M in 2 hours and to 0.05 M in 4 hours. The order of reaction is
The radiation from a naturally occurring radioactive substance as seen after deflection by a magnetic field in one direction are
The temperature coefficient of most of the reactions lie between
A decapeptide (Mol. Wt. 796) on complete hydrolysis gives glycine (Mol. Wt. 75), alanine and phenylalanine. Glycine contributes 47.0% to the total weight of the hydrolysed products. The number of glycine units present in the decapeptide is?
Net charge available on a basic amino acid at pH = 1 would be?
What is the total number of acidic amino acids found in human proteins?
Which form of D-Glucose is more stable?
1.alpha - D - Glucose
2.Beta - D - Glucose
3. Open Chain
4. All forms are equally stable
A tripeptide is composed equally of L-valine, L-tyrosine and L-alanine (one molecule of each). How many isomeric tripeptides of this kind may exist?
Peptides are composed of amino acids joined by amide bonds. which of the following statements is not correct?
Acid hydrolysis of sucrose causes
Ring structure of glucose is due to formation of hemiacetal and ring formation between
Fructose reduces Tollen’s reagent due to
When protein is subjected to denaturation
-helical structure of protein is stabilized by
In alkaline solution D-glucose, D-mannose and D-fructose are in equilibrium. This reaction is known as
The total number of isomeric alkenes possible by 
are ____
The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is
A hydrocarbon (A) adds one mole of hydrogen in the presence of platinum gives hexane. When (A) was oxidised with KMnO4 it gave a single carboxylic acid, containing three carbon atoms. Give the structure and name of (A)
896 ml vapour of a hydrocarbon ‘A’ having carbon 87.80% and hydrogen 12.19% weighs 3.28 g at STP. Hydrogenation of ‘A’ gives 2-methyl pentane. Also the hydration of hydrocarbon ‘A’ gives compound ‘B’. Compound ‘B’ gives yellow precipitate with sodium hypoiodite. Find the structure of A and give the reactions involved.
A particle performs harmonic oscillations along the x axis according to the law x = a cos wt. Assuming the probability P of the particle to fall within an interval from —a to +a to be equal to unity, find how the probability density dP/dx depends on x. Here
dP denotes the probability of the particle falling within an interval from x to x dx. Plot dP/dx as a function of x.
At the moment t = 0 a particle starts moving along the x axis so that its velocity projection varies as vs = 35 cos at cm/s, where t is expressed in seconds. Find the distance that this particle covers during t = 2.80 s after the start.
A particle moves along the x axis according to the law x = a cos wt. Find the distance that the particle covers during the time interval from t = 0 to t.
At the moment t = 0 a point starts oscillating along the x axis according to the law x = a sin wt. Find:
(a) the mean value of its velocity vector projection (vs);
(b) the modulus of the mean velocity vector 1(v)1 ;
(c) the mean value of the velocity modulus (v) averaged over 3/8
A point performs harmonic oscillations along a straight line with a period T = 0.60 s and an amplitude a = 10.0 cm. Find the mean velocity of the point averaged over the time interval during which it travels a distance a/2, starting from
(a) the extreme position;
(b) the equilibrium position.
Find the angular frequency and the amplitude of harmonic oscillations of a particle if at distances x1 and x 2 from the equilibrium position its velocity equals v1 a nd v2 respectively.
A particle performs harmonic oscillations along the x axis about the equilibrium position x = 0. The oscillation frequency is w = 4.00 /s .At a certain moment of time the particle has a coordinate X0 = 25.0 cm and its velocity is equal to Vx0 = 100 cm/s.Find the coordinate x and the velocity Vx of the particle t = 2.40 s after that moment.
2.8 g of pure alkene containing only one double bond per molecule, reacts completely with 8 g of bromine in an inert solvent. The molecular formula of alkene is
Highest boiling point is expected for
In the complete combustion of hydrocarbon 
the number of oxygen molecules required per mole of hydrocarbon is
Alkanes can be iodinated in the presence of
The minimum number of carbon atoms in alkane molecule to show chain isomerism is
Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is weakest is?
1.Nylon.
2.Poly(vinyl chloride)
3.Cellulose.
4.Natural Rubber
How will you synthesize Nylon 6 and Nylon 66?
A point moves along the x axis according to the law x = a sin^2 (wt— π/4). Find:
(a) the amplitude and period of oscillations; draw the plot x (t);
(b) the velocity projection vx as a function of the coordinate x;draw the plot vx (x).
A point oscillates along the x axis according to the law x = a cos (wt — π/4). Draw the approximate plots (a) of displacement x, velocity projection vx, and acceleration projection wx as functions of time t; (b) velocity projection vx and acceleration projection wx as functions of the coordinate x.
Cellulose acetate is a?
Sum of real solutions of the equation 
is?
Number of integral values of a for which (a + 2)x*x + 2(a + 1) x + a = 0 will have integer roots is/are
Number of real ordered pair (x,y) satisfying x*x +1=y and y*y +1=x is?
Let p,q be roots of the equation x*x -4x+A=0 and r and s be the roots of the equation x*x -20x+B=0.If p < q < r < s are in A.P., then (A, B) is