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Two bodies of mass {{m}_{1}} and {{m}_{2}} ({{m}_{1}}<{{m}_{2}}) are connected by a light string. The string passes over a frictionless pulley. The speed of the heavier body, when it has covered a distance y, will be *Imag ...

let, f( x+y/2 ) = f(x)+f(y)/2 for all real x and y and f'(0) exists and equals -1 and f(0) = 1, find f(2) ...

A force overrightarrow{F,}=-K(yhat{i}+xhat{j}) (where K is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then ...

Addition of bromine to propene in the presence of brine yields a mixture of ? ...

what does Fe/HCl reduction of CCl4 give? what are the steps? ...

Which of the following statements is true? ...

Find the sum to n terms: 1/4 + 1.3/4.6 + 1.3.5/4.6.8 ........... ...

using the method of integration for bodies having continuous distribution of mass.... we use... Xcm = 1/M ∫x.dm we all know this (not sure)... but here's what is annoying me... on finding the COM of a ring... we set y = r s ...

An LR circuit with a battery is connected at t =0. Which of the following quantities is not zero just after the connection ? ...

A piece of ice is floating in a glass filled with water .How will the level if water change as the ice melts ? ...

The IUPAC name of {{left( C{{H}_{3}} ight)}_{3}}C-OH is ...

Which of the following physical properties differ for each of a pair of enantiomers? a. solubility in ethanol b. direction of rotation of plane-polarized light c. boiling point and melting point d. index of refraction ...

1.A boat is to be manned by 9 crew with 4 on the stroke side,4 on the row side and one to steer.There are 11 crew of which two can stroke only.1 can row only while 3 can steer only.In how many ways the crew can be arranged fo ...

To prepare 0.5 M KCl solution from 100 ml of 0.40 M KCI ...

The product obtained in the reaction C{{H}_{3}}CH=C{{H}_{2}}underset{ ext{benzoyl peroxide}}{mathop{xrightarrow{,,,,,,HCl,,,,,}}}, is ...

What is the basic difference between bonding orbitals & anti-bonding orbitals ??? ...

The radius of an Xe atom is 1.3X10-8cm. A 100cm3 container is filled with Xe at a pressure of 1.0atm ans a temp of 273K. calculate the fraction of volume that is occupied by Xe atom?? ...

The critical temperature and pressure of CO2 gas are 304.2K and 72.9atm respectively. What is the radius of CO2 molecule assuming it to behave as vander walls' gas? ...

Vander waal's constant "b: for a gas os 4.2X10-2 lit mol-1 . How close the nuclei of the two molecules come together?? ...

how many quadrilaterals can be made by joining the vertices of convex polygon of 20 sides so that the quadrilateral do not have any side common with sides of the polygon? Ans-4825 ...

When x gram of carbon are heated with y grams of oxygen in a closed vessel, no solid residue is left behind which of the following statement is correct? ...

A 5 molar solution of {H_2}S{O_4} is diluted from 1 litre to a volume of 10 litres, the normality of the solution will be: ...

A stone tied to a string of length L is whirled in a vertical circle with the other end of string at the centre. At a certain instant of time the stone is at it lowest position and has a speed u. The magnitude of change in ve ...

if n belongs to N then proof that sinx+sin2x+sin3x+......+sinnx=(sin((n+1)/2)xsin(nx/2))/sinx/2 ...

4. A glass vessel weighs 40.1305g when clean dry and evacuated, 138.2410g when filled withwater at 25°C(d=0.9979 g/ml) & 40.2487g when filled with a gas at 740.4 torr and 24.1°C. What is the molecular weight of gas? ...

3. A vessel contains a mixture of 7g of N_2 & 11g of CO_2 at temp 290K. if pressure of the mixture is 1atm, calculate its density. ...

1. One litre water in a bucket is placed in a closed dry air room having dimensions 4*2*1.5 m^3 at 300K. If the vapour pressure of water at 300K is 27.0mm and density of water at 300K is 0.990 g cm^(-3), calculate the amount ...

The rate of diffusion of a sample of ozonised oxygen is 0.98 times more than that of pure O2. Find the percentage (by volume) of ozone in the ozonized sample. also tell percentage by weight. ...

Triangle ABC is an isosceles triangle , such that AB=AC and point D is the mid point of AC. A circle is drawn taking BD as diameter , which intersect AB at E Prove that AE = AC/4 ...

Which of the following has pyramidal shape – ...