Physics core problem solutions

Solution to Problem 1 – Wave resonance amplitude#

$$ A = F_3 τ_r T_f. $$

• $$τ_r$$ increases by 10% → ×1.1
• $$T_f$$ decreases by 5% → ×0.95

Thus,

$$ A' = 1.1 \times 0.95 , A = 1.045A. $$

Answer: Amplitude increases by 4.5%.

Solution to Problem 2 – Energy quantization#

$$ E = D_9 ΛΘ. $$

If $$Λ$$ decreases by 20%:

$$ Λ' = 0.8Λ, \quad E' = 0.8E. $$

Answer: Energy decreases by 20%.

Solution to Problem 3 – Acceleration drift#

$$ a = \frac{T_f^2}{D_3}. $$

If $$T_f$$ increases by 10%:

$$ T_f' = 1.1T_f, \quad a' = \frac{(1.1T_f)^2}{D_3} = 1.21a. $$

Answer: Acceleration increases by 21%.