Question

What length track does a π+ traveling at 0.100 c leave in a bubble chamber if it is created there and lives for 2.60×10−8s?

a) 1.56 m

b) 2.34 m

c) 3.12 m

d) 4.20 m

Answer 1

The track length left by a π+ particle traveling at 0.100c for 2.60 × 10-8 s in a bubble chamber can be calculated using the formula track length = (speed of light × time of existence) / (speed of particle). Plugging in the given values, the track length is approximately 0.87 meters.

Step-by-step explanation:

In a bubble chamber, the track length left by a π+ particle can be calculated using the formula:

track length = (speed of light × time of existence) / (speed of particle)

Given that the speed of the particle (v) is 0.100c and the time of existence (t) is 2.60 × 10-8 s, we can plug the values into the formula:

track length = (3.00 × 108 m/s × 2.60 × 10-8 s) / (0.100c)

Since c = 3.00 × 108 m/s, the track length can be calculated as:

track length = (3.00 × 108 m/s × 2.60 × 10-8 s) / (0.100 × 3.00 × 108 m/s)

Therefore, the track length is approximately 0.87 meters.