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A container of large uniform cross-sectional area A resting on a horizontal surface, holds two immiscible, non-viscous and incompressible liquids of densities d and 2d, each of height H/2 as shown in figure. The lower density ...

A large open top container of negligible mass and uniform cross sectional area A has a small hole of cross sectional area A/100 in its side wall near the bottom. The container is kept on a smooth horizontal floor and contains ...

d points of intersection of d circle x^2+y^2=a^2 wid d parabola y^2=4ax and y^2=-4ax form a rectangle whoes area is ...

Lenght of d tangent drwn frm and end of d latus rectum of d parabola y^2=4ax to d circle of radius a touchin externally d parabola at d vertex is ...

A non-viscous liquid of constant density 1000 kg/m3 flows in a streamline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in figure. The area of cross section of the tub ...

PN is an ordinate of d parabola y^2=9x .A straight line is drwn thru d mid point M of PN parallel to d axis of d parabola meetin d parabola at Q .NQ meets d tangent at d vertex A at a point T,then AT/NP = ...

*Image* In the figure above ,AC and BD are two horizontal tubes and two charged particles of charge 10 C and '- 10C' and both having mass 4.5*(10 9) are kept inside the tubes at C and D respectively.The particles are ...

*Image* In the above figure the rod QO has mass m and length L.The system is in equillibrium. Further it is given that √AOC=√COB ,√OCB =90 and QM||AO . Where should a point mass m be placed on the rod so that th ...

A small sphere of definite volume and density - p0 is thrown upwards from the bottom of a lake with speed v. The density of the lake varies with the distance x from the bottom as d=p0(1-(x/H)) where H is the height of the ...

Two particles A and B having charge 'q' and '-q' respectively are to be placed in a horizontal tube with the equation - (x2/a2)+(y2/b2)=1 such that the magnitude of electric field at (0,0) is maximum . Wha ...

Two particles A and B are situated at (0,0) and (1,0) respectively.They both start travelling with velocity 1 m/s. A travels along x=0 upwards and B travels along y=0 towards the origin.What will be their closest dist ...

In a vernier callipers ,one main scale division is x cm and n division of the vernier scale coincide with (n-1) divisions of the main scale.The least count (in cm) of the callipers is ? (IIT JEE 2007) ...

N-divisions on the main scale of a vernier calipers coincide with N + 1 divisions on the vernier scale.If each division on the main scale is of a units,determine the least count of the instrument ? (IIT JEE 2003) ...

The pitch of a screw gauge is 1 mm and there are 100 divisions on circular scale.When faces A and B are just touching each without putting anything between the studs 32nd division of the circular scale coincides with the refe ...

Least count of a vernier callipers is 0.01 cm.When the two jaws of the instrument touch each other the the 5th division of the vernier scale coincide with a main scale division and the zero of the vernier scale lies to the le ...

The smallest division on main scale of a vernier callipers is 1 mm and 10 vernier divisions coincide with 9 scale divisions .While measuring the length of a line ,the zero mark of the vernier scale lies between 10.2 cm and 10 ...

A wooden plank of length 1m and uniform cross section is hinged at one end to the bottom of a tank. The tank is filled with water up to a height of 0.5m. Specific gravity of the plank is 0.5. The angle θ that the plane makes ...

A uniform solid cylinder of density 0.8 g/cc floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The The densities of liquids A and B are 0.7 g/cc and 1.2 g/cc. The height of liqui ...

A hydraulic brake has brake lever piston of area 0.005 m2. The wheel drum piston has area of 0.05 m2. If the driver exerts a force on the lever of 20 N, then the force on the wheel drum is ...

2 electrons separated by 1A°. What is columb force between them ...

Separation between the plates of parallel plate capacitor is d & area of each plate is A. When a slab of dielectric constant k & thickness t(t<d) is introduced between the plates, its capacitance becomes??? ...

An electron moving withwith speed of 5*106 m/s is shooted parallel to the electric field of intensity 1*103 N/C. Field is responsible for retardation of motion of electron. Now evaluate the distance traveled by the electron b ...

The vapour pressure of two miscible liquids A and B are 300 and 500 mm of Hg respectively. In a flask 10 moles of A is mixed with 12 moles of B. However, as soon as B is added, A starts polymerizing into a completely insolubl ...

A hydrogenation energy is carried out at 500 K. If the same reaction is carried out in the presence of a catalyst at the same rate, the temperature required is 400 K. The catalyst lowers the activation barrier by 20 kJ/mol. T ...

The decomposition of N2O5 according to the equation, 2N2O5(g)→4NO2(g)+O2(g) is first order reaction. After 30 min from the start of the decomposition in a closed vessel, the total pressure developed is found to be 284.5 mm ...

The rate of a first order reaction is 0.04 molL-1s-1 at 10 minutes and 0.03 molL-1s-1 at 20 minutes after initiation. The half life of the reaction is ...

0.1M NaOH is titrated with 0.1M HA till the end point; Ka for HA is 5.6×10-6 and degree of hydrolysis is less compared to 1. The pH of the resulting solution at the end point is ...

A 40 ml solution of weak base BOH is titrated with 0.1N HCl solution. The pH of the solution is found to be 10.04 and 9.14 after adding 5 ml and 20 ml of the acid respectively. Find out the dissociation constant of the base ...

In the previous question, one litre of the solution is diluted to volume "V" so that the pH of the resulting solution will be twice the original value, then "V" is ...

What is the pH of 1.0 M solution of acetic acid?(Ka=1.8×10-5) ...