The numeriecal value of ionization in eV equals the inoization potential in volts .Does the equally hold if thesequantities are inasured in some other units?

If for all real values of a one root of the equation x^2-3ax + f(a)=0 is double of the other, then f(x) is equal to

Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at 0^@C and a pressure of 76cm of mercury. One of the bulbs is then placed in melting ice and the other is placed in a water bath maintained at 62^@C . What is the new value of the pressure inside the bulbs? The volume of the connecting tube is negligible.

Two parabolas C and D intersect at two different points, where C is y =x^2-3 and D is y=kx^2 . The intersection at which the x value is positive is designated Point A, and x=a at this intersection the tangent line l at A to the curve D intersects curve C at point B , other than A. IF x-value of point B is 1, then a equal to

Two spherical conductors B and C having equal radii and cayying equal charges on them repel each other with a force F when kept apart at some distance. A third spherical conductor having same radius as that B but uncharged is brought in contact with B, then brought in contact with C and finally removed away from both. The new force of repulsion between B and C is

A metal rod AB of length 10x has its one end A in ice at 0^@C , and the other end B in water at 100^@C . If a point P one the rod is maintained at 400^@C , then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal//g and latent heat of melting of ice is 80cal//g . If the point P is at a distance of lambdax from the ice end A, find the value lambda . [Neglect any heat loss to the surrounding.]

Two narrow cylindrical pipes A and B have the same length. Pipe A is open at both ends and is filled with a monoatomic gas of molar mass M_(A) . Pipe B is open at one end and closed at the other end, and is filled with a diatomic gas of molar mass M_(B) . Both gases are at the same temperature. (a) If the frequency of the second harmonic of the fundamental mode in pipe A is equal to the frequency of the third harmonic of the fundamental mode in pipe B , determine the value of M_(B)//M_(B) . (b) Now the open end of pipe B is also closed (so that the pipe is closed at both ends). Find the ratio of the fundamental frequency in pipe A to that in pipe B .

The equality sinA+sin2A+sin3A=3 holds for some real value of A.

The potential difference between the terminals of a cells is found to be 3 volts when it is connected to a resistance equal to its internal resistance. The e.m.f. of the cell is:-

Though the law gives women equal status in India, many people hold unscientific views on a woman's innate nature, capacity and intelligence, and in practice give them a secondary status and role. Demolish this view using scientific arguments and by quoting examples of great women in science and other spheres, and persuade yourself and others that, given equal opportunity, women are on par with men.