Answer:
Ng = 0.893 N, Ne = 0.107N
Explanation:
Number of particles in Ground state = Ng
Number of particles in Excited state = Ne
Ne/Ng = e^{(-ΔE)/kt}
Since excited state is 3 fold degenerate
Ne/Ng =3 x e^{(-ΔE)/kt}
ΔE = Energy difference between ground and excited states = 0.25eV
T = 960 K
Constant k = 8.617 x 10^-5 eV/K
Ne/Ng = 3 x e^{-0.25/(8.617x10^-5) x 960}
= 3 x e^(-3.188645)
= 3 x 0.0412 = 0.1237 ≅ 0.12
Ne = 0.12 Ng
but Ne + Ng = N, where is N is total number of particles, substituting Ne into equation we get,
Ng(1 + 0.12) = N
Ng = N/1.12 = 0.893N
and Ne = 0.12 x 0.893 N = 0.107 N
Answer:
The velocity of charge is 1.1×10⁴
Option(D)
Explanation:
F = q(v×B)
3.5×10-²= (8.4×10-⁴)*(v)*(6.7×10-³)*sin35
v = (3.5)/(8.4×6.7×0.57) × 10⁵
v = 3.5/32.08 × 10⁵
v = 0.109 × 10⁵
v ≈ 1.1 × 10⁴ m/s
The mass of the kid and the sled is 50.0 kg
Explanation:
The sled starts to move when the force applied becomes larger than the maximum force of static friction, which is given by

where
is the coefficient of static friction
m is the mass of the kid + the sled
is the acceleration of gravity
Here the sled starts moving when the force applied is 61.2 N, so

And we also know

Therefore, we can find the mass of the kid and the sled by re-arranging the equation:

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