1
JEE Main 2022 (Online) 28th June Morning Shift
Numerical
+4
-1

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]

2
JEE Main 2022 (Online) 27th June Evening Shift
Numerical
+4
-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 __________.

3
JEE Main 2022 (Online) 27th June Morning Shift
Numerical
+4
-1

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)

4
JEE Main 2022 (Online) 25th June Morning Shift
Numerical
+4
-1

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)

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