If 1-0 g body is traveling along the x-axis at 100 cm s -1 within error limits of - 1 cm s -1- what is the uncertainty in its position-

The correct option is A 5× 10^ 30 mHeiseinburg Uncertainity principle. #160; Given m= 1gm , Δ V=1cm/s Δ x.Δ p≥ h 4π #160; Δ x.mΔ v ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Chemistry

Heisenberg's Uncertainty Principle

If 1.0 g body...

Question

If 1.0 g body is traveling along the x-axis at 100 cm s $^{- 1}$ within error limits of $\pm 1$ cm s $^{- 1}$ , what is the uncertainty in its position?

5 \times 10^{- 30}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5 \times 10^{- 31}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 \times 10^{- 20}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 \times 10^{- 10}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $5 \times 10^{- 30}$ m
Heiseinburg Uncertainity principle. Given m= $1 g m$ , $Δ V = 1 c m / s$
$Δ x . Δ p \geq \frac{h}{4 π} Δ x . m Δ v \geq \frac{h}{4 π} Δ x . 10^{- 3} \times 10^{- 2} \geq \frac{6.626 \times 10^{- 34}}{4 \times 3.14} Δ x \geq \frac{6.626 \times 10^{- 29}}{4 \times 3.14} = 0.52 \times 10^{- 29} Δ x \geq 5.2 \times 10^{- 30} m$

Suggest Corrections

Similar questions

Q. The uncertainty in the momentum of an electron is 1.0

\times

^{- 5}

kg m s

^{- 1}

. The uncertainty of its position will be:

[h = 6.626

\times

^{- 34}

kg m

^{2}

^{- 1}

]

According to Heisenberg's uncertainty principle, the product of uncertainties in position and velocities for an electron of mass 9.1 $\times$ $10^{- 31}$ kg is

The uncertainty in momentum of an electron is $1 \times 10^{- 5} k g - m / s$ . The uncertainty in its position will be ( $h = 6.62 \times 10^{- 34} k g - m^{2} / s$ )

Q. If a 1.00 g body is travelling along X-axis at 100 cm s

^{- 1}

with an uncertainty in velocity as 2 cm

^{- 1}

. Then uncertainty in its position is :

A ball weighing $10 g$ is moving with a velocity of $90 m s^{- 1}$ . If the uncertainty in its velocity is 5%, then the uncertainty in its position is______ $\times 10^{- 33} m$ . (Rounded off to the nearest integer)
[Given: $h = 6.63 \times 10^{- 34} J s$ ]

Join BYJU'S Learning Program

If 1.0 g body is traveling along the x-axis at 100 cm s−1 within error limits of ±1 cm s−1, what is the uncertainty in its position?

The correct option is A 5×10−30mHeiseinburg Uncertainity principle. Given m=1gm, ΔV=1cm/sΔx.Δp≥h4πΔx.mΔv≥h4πΔx.10−3×10−2≥6.626×10−344×3.14Δx≥6.626×10−294×3.14=0.52×10−29Δx≥5.2×10−30m

If 1.0 g body is traveling along the x-axis at 100 cm s $^{- 1}$ within error limits of $\pm 1$ cm s $^{- 1}$ , what is the uncertainty in its position?