A tightly wound long solenoid carries a current of 1.5 A. An electron is executing uniform circular motion inside the solenoid with a time period of 75 ns. The number of turns per metre in the solenoid is . [Take mass of electron me=9 10-31 kg, charge of electron |qe|=1.6 10-19 C, 0=4 10-7 NA2, 1 ns=10-9 s]
Answer
250
Solution
The electron circles with T= 2 mqB and B= 0nI inside the solenoid.
[figure]
n= 2 mqT 0I= 2 9 10-311.6 10-19 75 10-9 4 10-7 1.5
= 7.5 10-53 10-7
=250 turns per metre
Answer: 250