Question

The electron in hydrogen atom is moving in an orbit of radius 0.53 Å. It takes 1.571 x 10^-16 s to complete one revolution. The velocity of electron will be `pi` = 3.142.

विकल्प

• `3 xx 10^8  "m"/"s"`

• `4 xx 10^6  "m"/"s"`

• `2.12 xx 10^6  "m"/"s"`

• `5.3 xx 10^6  "m"/"s"`

Answer 1

`2.12 xx 10^6  "m"/"s"`

Explanation:

r = 0.53 Å, t = 1.571 x 10^-16 sec

`"v" = (2pi"r")/"t" = 2 xx 22/7 xx 53/100 xx 10^-10 xx 10^16/1.571`

`= (2 xx 22 xx 53)/(700 xx 1.571 xx 10^6)`

`= 2.12 xx 10^6  "m"//"s"`