If the work function of a metal is 6.63 $$\times$$ 10$$-$$19J, the maximum wavelength of the photon required to remove a photoelectron from the metal is ____________ nm. (Nearest integer)
[Given : h = 6.63 $$\times$$ 10$$-$$34 J s, and c = 3 $$\times$$ 108 m s$$-$$1]
Consider the following set of quantum numbers.
| n | 1 | m$$_1$$ | |
|---|---|---|---|
| A. | 3 | 3 | $$ - $$3 |
| B. | 3 | 2 | $$ - $$2 |
| C. | 2 | 1 | +1 |
| D. | 2 | 2 | +2 |
The number of correct sets of quantum numbers is __________.
If the uncertainty in velocity and position of a minute particle in space are, 2.4 $$\times$$ 10$$-$$26 (m s$$-$$1) and 10$$-$$7 (m) respectively. The mass of the particle in g is ____________. (Nearest integer)
(Given : h = 6.626 $$\times$$ 10$$-$$34 Js)
The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $$\times$$ 10$$-$$8 m. The value of x is ___________. (Nearest Integer).
(Given : Energy of the electron in the first shell of the hydrogen atom is $$-$$2.2 $$\times$$ 10$$-$$18 J ; h = 6.63 $$\times$$ 10$$-$$34 Js and c = 3 $$\times$$ 108 ms$$-$$1)