The uncertainty in position and velocity of the particle are 0 . 1 nm and 5 . 27 × 10 - 24 ms - 1 , respectively then find the mass of the particle. h = 6 . 625 × 10 - 34 Js

Heisenberg uncertainty principle explains that the position and momentum of a particle cannot be precisely calculated simultaneously. An attempt to precisely calculate any one of the two, leads to an increase in uncertainty of the other. ∆ x . ∆ p = h 4 π Momentum is the product of mass of the particle and its velocity. So, ∆ x . m ∆ v = h 4 π 0 . 1 × 10 - 9 × m × 5 . 27 × 10 - 24 = 6 . 625 × 10 - 34 4 π m = 6 . 625 × 10 - 34 6 . 625 × 10 - 33 kg m = 0 . 1 kg Hence, mass of the particle is 0 . 1 kg .

E M B I B E

Alpha Question Bank for Engineering: Chemistry>Chapter 2 - Structure of Atom>Exercise-1>Q 29

MEDIUM

JEE Main/Advance

IMPORTANT

Earn 100

If an electron having kinetic energy $2 eV$ is accelerated through the potential difference of $2$ Volt. Then calculate the wavelength associated with the electron.

Important Questions on Structure of Atom

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Chemistry>Chapter 2 - Structure of Atom>Exercise-1>Q 30

The uncertainty in position and velocity of the particle are

0.1 nm

and

5.27 \times 10^{- 24} {ms}^{- 1},

respectively then find the mass of the particle.

(h = 6.625 \times 10^{- 34} Js)

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Chemistry>Chapter 2 - Structure of Atom>Exercise-1>Q 35

Given below are the sets of quantum numbers for given orbitals. Name these orbitals.

$(a) \begin{matrix} n = 3 \\ l = 1 \end{matrix}$ $(b) \begin{matrix} n = 5 \\ l = 2 \end{matrix}$ $(c)$ $\begin{matrix} n = 4 \\ l = 1 \end{matrix}$ $(d) \begin{matrix} n = 2 \\ l = 0 \end{matrix}$ $(e)$ $\begin{matrix} n = 4 \\ l = 2 \end{matrix}$

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Chemistry>Chapter 2 - Structure of Atom>Exercise-1>Q 37

Which of the following sets of quantum numbers are impossible for electrons from the given sets? Explain why in each case

Set	$n$	$l$	$m$	$s$
$(i)$	$1$	$0$	$1$	$+ \frac{1}{2}$
$(ii)$	$3$	$0$	$0$	$- \frac{1}{2}$
$(iii)$	$1$	$2$	$2$	$+ \frac{1}{2}$
$(iv)$	$4$	$3$	$- 3$	$+ \frac{1}{2}$
$(v)$	$5$	$2$	$1$	$- \frac{1}{2}$
$(vi)$	$3$	$2$	$1$	$0$