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 _ × 10 - 33 m . (Rounded off to the nearest integer)

Question

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 _ × 10 - 33 m . (Rounded off to the nearest integer) [Given: h = 6 . 63 × 10 - 34 Js ]

TestHub · Accepted Answer

Δv = 90 × 5 100 = 4 . 5 m s - 1 Δv . Δx = h 4 πm Δx = h 4 πm · Δv = 6 . 63 × 10 - 34 4 × 3 . 14 × 0 . 01 × 4 . 5 = 1 . 17 × 10 - 33

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