Answer:
The charge-to-mass ratio of the particle is 5.7 × 10⁵ C/kg
Explanation:
From the formulae
F = qvB and F = mv²/r
Where F is Force
q is charge
v is speed
B is magnetic field strength
m is mass
and r is radius
Then,
qvB = mv²/r
qB = mv/r
We can write that
q/m = v/rB ---- (1)
Also
From Electric force formula
F = Eq
Where E is the electric field
and magnetic force formula
F = Bqv
Since, electric force = magnetic force
Then, Eq = Bqv
E = Bv
∴ v = E/B
Substitute v = E/B into equation (1)
q/m = (E/B)/rB
∴ q/m = E/rB²
(NOTE: q/m is the charge to mass ratio)
From the question,
E = 3.10 ×10³ N/C
r = 4.20 cm = 0.0420 m
B = 0.360 T
Hence,
q/m = 3.10 ×10³ / 0.0420 × (0.360)²
q/m = 569517.9306 C/kg
q/m = 5.7 × 10⁵ C/kg
Hence, the charge-to-mass ratio of the particle is 5.7 × 10⁵ C/kg.
Machines capable of manufacturing exactly the same component time after time,
with exactly the resistance you want, would be very expensive, and so would the
products they turn out. A resistor would cost a dollar instead of a few pennies.
The machine itself, and its output, work within tolerances.
The cheapest mass-produced resistors are guaranteed to be within 20% above
or below the resistance marked on them. And you know what ? For most bench-
work and prototyping, that's usually close enough.
Answer:
The value is 
Explanation:
From the question we are told that
The mass is 
The needed oscillation time is 
Generally the spring constant is mathematically represented as
=> 
=>
