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

The number of integral value(s) of x satisfying the equation

The least integral value of 'a' such that (a-2)x*x +8x+a+4>0,

The set of values of 'p' so that both the roots of the equation (p-5)x*x -2px +(p-4)= 0 are positive,one is less than 2 and other is lying between 2 & 3, is

The number of integral values of ëmí less than 50 , so that the roots of the quadratic equation mx2 +(2m-1)x+(m-2)=0 are rational,are

if are the roots of the equation the equation whose roots are is

If a, b, c and the quadratic equation has no real roots, then

The binding energy per nucleon of deuteron and helium nucleus is 1.1 MeV and 7 MeV respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio 2 : 1. What would be the ratio of their nuclear sizes?

If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li^{++} is

The wavelengths involved in the spectrum of deuterium are slightly different from that of hydrogen spectrum, because

Which of the following atoms has the lowest ionization potential?

In the nuclear fusion reaction,

given that the repulsive potential energy between the two nuclei is ~ 7.7 × 10^{-14} J, the temperature at which the gases must be heated to initiate the reaction is nearly

Note: Boltzmann's constant k = 1.38 × 10^{-23} J/K

Which of the following cannot be emitted by radioactive substances during their decay?

A nucleus with *Z* = 92 emits the following in a sequence:

The *Z* of the resulting nucleus is

A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes, the rate is 1250 disintegrations per minute. Then, what will be the decay constant (per minute)?

When U^{238} nucleus originally at rest, decays by emitting an alpha particle having a speed *u*, the recoil speed of the residual nucleus is

Which of the following radiations has the least wavelength?

If *N _{0}* is the original mass of the substance of half life period

*t*= 5 years, then the amount of substance left after 15 years is

_{1/2}

If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from *n* = 2 is

At a specific instant emission of a radioactive compound is deflected in a magnetic field. The compound can emit

(i) electrons

(ii) protons

(iii) He2+

(iv) neutrons

The emission at the instant can be

If *g _{E}* and

*g*are the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan’s oil drop experiment could be performed on the two surfaces, then what would be the ratio

_{M}

Photon of frequency* u* has a momentum associated with it. If *c* is the velocity of light, the momentum is

The anode voltage of a photocell is kept fixed. The wavelength of the light falling on the cathode is gradually changed. The plate current *I* of the photocell varies as follows

The threshold frequency for a metallic surface corresponds to an energy of 6.2 eV, and the stopping potential for a radiation incident on this surface 5 V. Where the incident radiation lies?

What is the time by a photoelectron to come out after the photon strikes approximately?

If the kinetic energy of a free electron doubles, its de Broglie wavelength changes by the factor