A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelength light. As photoelectrons are emitted, the sphere gets charged and acquires a potential. The maximum number of photoelectrons emitted from the spheres is A $$\times$$ 102 (where 1 < A < 10). The value of Z is _____________.
Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is __________.
Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act a thin lens. An object S is placed 24 cm above water surface. The location of its image is at x cm above the bottom of the tank. Then x is __________.
One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristics involved in the cycle. Match them with each of the processes given in Column I.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Process A$$ \to $$ B | (P) | Internal energy decreases. |
| (B) | Process B$$ \to $$C | (Q) | Internal energy increase. |
| (C) | Process C$$ \to $$D | (R) | Heat is lost. |
| (D) | Process D$$ \to $$A | (S) | Heat is gained. |
| (T) | Work is done on the gas. |