Question

A got ball has a mass of 40 gm and
and a speed of 45m)sec.If the speed can be
measured with in accuracy of 2%. calculate the uncertainty
of position​

Answer 1

Explanation:

mass of the ball , m= 40 g = 0.04 Kg

accuracy in velocity = 2%

then, inaccuracy or uncertainty in velocity = ∆v = 45 * (100– 2)%

= 44.1 m/s

now , according to Heisenberg's uncertainty Principle,

∆x * m∆v ≥ h/4π

( ∆x is uncertainty in position

, h is Planck's constant )

or, ∆x = h / ( 4π * m∆v)

or, ∆x =

( 6.626 * 10–³⁴)/

(4* 3.142*0.4*44.1)

or, ∆x = 2.98 * 10^ –38 m

(u can convert it to smaller units)