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Question

An alpha particle enters a hollow tube of 4m length with an initial speed of 1Km/s. It is accelerated in the tube and comes out of it with a speed of 9Km/s. The time for which it remains inside the tube is

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Solution

Initial velocity u = 1 km/s = 1000 m/sFinal velocity v = 9 km/s = 9000 m/slength of the tube will be equal to the distance travelled in time t.v2 -u2= 2as90002-10002 = 2a×4a = 107 m/s2v = u + att = v - uat = 9000 - 1000107t = 8×10-4t = 80 ms

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