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A pumpkin weighs 7.5 N. On sub- merging it completely in water, 3/4 L of water gets displaced. The acceleration due to gravity at the place where the
Question

A pumpkin weighs 7.5 N. On sub- merging it completely in water, 3/4 L of water gets displaced. The acceleration due to gravity at the place where the pumpkin was weighed is 10 m/s2. Which one of the following is the correct value of the density of the pumpkin?

A.

10 kg/m3

B.

100 kg/m3

C.

1000 kg/m3

D.

10000 kg/m3

Correct option is C


Given: · Weight of the pumpkin: 7.5 N · Volume of water displaced: 43​L=0.75L=0.00075m3 · Acceleration due to gravity: g=10m/s2 Step 1: Calculate the mass of the pumpkin Weight (W) is related to mass (m) through the equation: W=m×g We can rearrange this equation to find the mass of the pumpkin: m=gW​ Substituting the values: m=107.5​=0.75kg Step 2: Calculate the density of the pumpkin Density ρ is given by: ρ=Vm​ where m is the mass of the pumpkin and V is the volume of water displaced (since the pumpkin is fully submerged). Using the mass calculated in step 1 and the volume provided: ρ=0.00075m30.75kg​=1000kg/m3 Conclusion: The correct value of the density of the pumpkin is 1000kg/m3. Thus, the correct answer is (c) 1000 kg/m³.

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