Practice question

Given: What is the temperature at which the rms speed of helium atoms is 1000 m/s? (Atomic mass of He = 4 u, k_B = 1.38 × 10⁻²³ J K^{-1) These values define the system as per NCERT data. Formula: v_{rms = sqrt3k_B T/m, m = frac4 × 10⁻³⁶.02 × 10²³= 6.64 × 10⁻²⁷ kg. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: 1000² = frac3 × 1.38 × 10⁻²³ × T6.64 × 10⁻²⁷, T = frac10⁶ × 6.64 × 10⁻²⁷⁴.14 × 10⁻²³ approx 1604 K . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kg⁻¹ K⁻¹, m/s², 10⁻⁵ are properly used as per NCERT.