A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 mathringA. What is the uncertainty involved in the measurement of its velocity?

Question

A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1 mathringA. What is the uncertainty involved in the measurement of its velocity? (A) 5.79×106 cm s-1 (B) 5.79×106 m s-1 (C) 5.79×1010 cm s-1 (D) 5.79×1010 m s-1

Tardigrade Admin · Accepted Answer

Δ x Δ p=(h/4 π) or Δ x m Δ upsilon=(h/4 π) ⇒ Δ upsilon=(h/4π Δ x m) Δ upsilon=(6.626×10-34J s/4×3.14×0.1×10-10 m×9.11×10-31 k g) =0.579×107 m s-1(1 J=m2s-2)=5.79×106 m s-1.

Q. A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0 $.1 \overset{˚}{A}$ . What is the uncertainty involved in the measurement of its velocity?

$5.79 \times 1 0^{6} c m s^{- 1}$

$5.79 \times 1 0^{6} m s^{- 1}$

$5.79 \times 1 0^{10} c m s^{- 1}$

$5.79 \times 1 0^{10} m s^{- 1}$

Q. A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0.1A˚. What is the uncertainty involved in the measurement of its velocity?

5.79×106cms−1

5.79×106ms−1

5.79×1010cms−1

5.79×1010ms−1

ΔxΔp=4πh​orΔxmΔυ=4πh​⇒Δυ=4πΔxmh​ Δυ=4×3.14×0.1×10−10m×9.11×10−31kg6.626×10−34Js​ =0.579×107ms−1(1J=m2s−2)=5.79×106ms−1.

Q. A microscope using suitable photons is employed to locate an electron in an atom within a distance of 0 $.1 \overset{˚}{A}$ . What is the uncertainty involved in the measurement of its velocity?

$5.79 \times 1 0^{6} c m s^{- 1}$

$5.79 \times 1 0^{6} m s^{- 1}$

$5.79 \times 1 0^{10} c m s^{- 1}$

$5.79 \times 1 0^{10} m s^{- 1}$