Practice question
Question
What is the escape speed from a planet of mass 4.8 × 10²⁴kg and radius 5 × 10⁶m ? ( G = 6.67 × 10⁻¹¹N m²/kg² )
Explanation
Given:
What is the escape speed from a planet of mass 4.8 × 10²⁴kg and radius 5 × 10⁶m ? ( G = 6.67 × 10⁻¹¹N m²/kg² )
These values define the system as per NCERT data.
Formula:
v_e = sqrt2 G M/R.
This is standard NCERT relation.
Substitution & Calculation:
v_e = sqrtfrac2 × 6.67 × 10⁻¹¹ × 4.8 × 10²⁴⁵ × 10⁶. v_e = sqrt6.403 × 10⁷approx 8.0 × 10³m/s = 8.0 km/s .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
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