A pumpkin weighs 7.5 N. On submerging it completely in water, \frac{3}{4}L of water gets displaced. The acceleration due to gravity at the place where the pumpkin was weighed is 10~m/s^{2}. Which one of the following is the correct value of the density of the pumpkin?
- A. 10~kg/m^{3}
- B. 100~kg/m^{3}
- C. 1000~kg/m^{3} ✓
- D. 10000~kg/m^{3}
Correct Answer: C. 1000~kg/m^{3}
Explanation
Mass of pumpkin m = W/g = 7.5 / 10 = 0.75~kg. Volume V = \frac{3}{4} L = 0.75 \times 10^{-3}~m^3. Density \rho = m/V = 0.75 / (0.75 \times 10^{-3}) = 1000~kg/m^3.
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