Question

20. In an atom, an electron is moving with a speed of 600 m/s with
an accuracy of 0.005%. Certainty with which the position
of the electron can be located is (h = 6.6 x 10-34 kg ms-
mass of electron, em = 9.1 x 10-31 kg)
(a) 1.52 x 10-4 m (b) 5.10 x 10-3 m
(c) 1.92 x 10-3 m (d) 3.84 x 10-3 m​

Answer 1

Answer:

can be located is (h=6.6×10−34kg)m2s−1h=6.6×10−34kg)m2s−1.mass of electron,em=9.1×10−31kg)em=9.1×10−31kg)

(a)1.52×10−4m(c)1.92×10−3m(b)5.10×10−3m(d)3.84×10−3m(a)1.52×10−4m(b)5.10×10−3m(c)1.92×10−3m(d)3.84×10−3m

Homework help Revision notes Donate

A)

u=600msec−1u=600msec−1

∴Δu=600×0.005100∴Δu=600×0.005100

⇒0.30msec−1⇒0.30msec−1

Now,Δx.m.Δu=h4πΔx.m.Δu=h4π

Δx=6.6×10−344×3.14×9.1×10−31×0.30Δx=6.6×10−344×3.14×9.1×10−31×0.30

⇒1.92×10−3m⇒1.92×10−3m

Hence (c) is the correct answer.

Explanation:

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