23. An alpha particle enters a hollow tube of 4m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a speed of 9 km/s. calculate the time for which it remains inside the tube.
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Explanation:
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Initial speed, u=1 km/s=1000 m/s
Final speed, v=9 km/s=9000 m/s
By using the relation
v
2
=u
2
+2as
(9000)
2
=(1000)
2
+2×a×4
a=10
7
m/s
2
∴ the time for which the particle remains in the tube
v=u+at
or t=
a
v−u
=
10
7
9000−1000
=8×10 -⁴s
hope this help
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