Table-tennis ball has a mass 10 g and a speed of 100 m/s. If speed can be measured within an accuracy of 10%, what will be the uncertainty in speed and position respectively

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$10 m / \sec, 5.27 \times 10^{- 34} m$

$0.1 m / \sec, 5 \times 10^{- 34} m$

$10 m / \sec, 4 \times 10^{- 33} m$

None of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Uncertainty in the speed of ball $= \frac{100 \times 10}{100} = 10 m / s$ $Δx . mΔv = \frac{h}{4 π}$
Uncertainty in the position, $Δx = \frac{h}{4 πmΔv} = \frac{6 .626 \times 10^{- 34}}{4 \times 3 .14 \times 10 \times 10^{- 3} \times 10} = 5 .27 \times 10^{- 34} m$

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET