Answer:
24 cm
Explanation:
Given:
Mass of proton = 1.67 × 10⁻²⁷ Kg
kinetic energy = 2.5 × 10⁻¹³ J
magnetic field in the cyclotron, B = 0.75 T
Now,
Kinetic energy = 
= 2.5 × 10⁻¹³ J
where, v is the velocity of the electron
or
= 2.5 × 10⁻¹³ J
or
v² = 2.99 × 10¹⁴
or
v = 1.73 × 10⁷ m/s
also,
centripetal force = magnetic force
or
= qvB
q is the charge of the electron
r is the radius of the dipole magnets
on substituting the respective values, we get
= 1.6 × 10⁻¹⁹ × 0.75
or
r = 0.2408 m ≈ 24 cm
Hence, the correct answer is 24 cm
Answer:
a) 915 m
b) 0.15 W/
Explanation:
solution:
a) The wavelength of the microwaves electromagnetic wave is:
λ=
=
=0.025 m
the circular radar antenna acts like a circular aperture of diameter D will have a bright central maximum of diameter:
w=2.44λL/D
so at 30 km screen:
w=2.44λL/w
=2.44*0.025*30*10^3/2
=915 m
b)
The area of a beam at 30 km is:
A=
=
=
=
the average microwave intensity is equal to the ratio of the power of the antenna and area of the beam:
I=P/A
So at 30 km:
I=100*10^3/657*10^3
=0.15 W/
