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Practice question

Question

In a new system, the unit of mass is 0.1 kg, length is 2 m, and time is 0.5 s . What is the value of 1 N ( kg m s^{-2 ) in this system?

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Explanation

Given: In a new system, the unit of mass is 0.1 kg, length is 2 m, and time is 0.5 s . What is the value of 1 N ( kg m s^{-2 ) in this system? These values define the system as per NCERT data. Formula: 1 N = 1 kg m s^{-2. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: New units: kg = 0.1 α, m = 2 β, s = 0.5 γ . 1 N = (0.1 α) (2 β) (0.5 γ)^{-2 = 0.1 × 2 × 4 = 0.8 α β γ^{-2 . 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.

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