The adjoining diagram shows three soap bubbles, A , B and C prepared by blowing the capillary tube fitted with stop cocks S, `S_(1),S_(2)` and `S_(3)` with stop cock S closed and stop cocks `S_(1),S_(2)` and `S_(3)` opened-

The following diagram shows three metal balls Ball A is charged to Q coulombs and B,C are unchanged .The charges on balls B,C when the switches S_(1) and S_(2) are closed are respectively

Let the sum of n, 2n, 3n terms of an A.P. be S_(1), S_(2) and S_(3) respectively. Show that S_(3) = 3(S_(2) - S_(1)) .

The resistors R_(1),R_(2),R_(3) and R_(4) are connected as shown in the figure. S_(1) and S_(2) are two switches . Discuss the flow of current through the resistors when (1) S_(1) and S_(2) both are closed. (2) S_(1) and S_(2) both are open. (3) S_(1) is closed and S_(2) in open.

Gourang made an electric circuit with three bulbs B_(1), B_(2) and B_(3) a cell and two switches S_(1) and S_(2) as shown in figure. He notes his observation when (a) S_(1) is closed and S_(2) is open, (b) S_(2) is closed and S_(1) is open. He also found that a bulb whose failure made the circuit 'open' irrespective of the status of S_(1) and S_(2) . What are his observation.

In the given figure switches S_(1) and S_(2) are in open condition. The resistance across ab when the switches S_(1) and S_(2) are closed is ……………… Omega .

If the sums of n, 2n and 3n terms of an A.P. be S_(1), S_(2), S_(3) respectively, then show that, S_(3) = 3(S_(2) - S_(1)) .

A monochromatic light source of wavelength lamda is placed at S. three slits S_(1),S_(2) and S_(3) are equidistant from the source S and the point P on the screen S_(1)P-S_(2)P=lamda//6 and S_(1)P-S_(3)P=2lamda//3 . if I be the intensity at P when only one slit is open the intensity at P when all the three slits are open is-

A monochromatic light source of wavelength lamda is placed at S. three slits S_(1),S_(2) and S_(3) are equidistant from the source S and the point P on the screen S_(1)P-S_(2)P=lamda//6 and S_(1)P-S_(3)P=2lamda//3 . if I be the intensity at P when only one slit is open the intensity at P when all the three slits are open is-

A monochromatic light source of wavelength lamda is placed at S. three slits S_(1),S_(2) and S_(3) are equidistant from the source S and the point P on the screen S_(1)P-S_(2)P=lamda//6 and S_(1)P-S_(3)P=2lamda//3 . if I be the intensity at P when only one slit is open the intensity at P when all the three slits are open is-