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Answers
Given that, two Sphere each of volume 250 c.c but of density 800 kg/m³ and 1200 kg/m³ are connected by a string and the combination is immersed in a liquid
Let the mass of spheres be m₁ and m₂ Having density 800 kg/m³ and 1200kg/m³ respectively.
Volume of Spheres = 250 cm³ = 250 × 10⁻⁶ m³
Now,
We know that ,
mass = density × volume
m₁ = 250 × 10⁻⁶ × 800
m₂ = 250 × 10⁻⁶ × 1200
If there is a tension in the string, then this is surely due to that masses m₁ and m₂ are applying the force in oppsite directions,
Force Applied by mass m₁ = m₁g
Force Applied by mass m₂ = m₂g
Hence,
Tension in the string,
T = m₂g - m₁g
T = g(m₂ - m₁)
T = g{(250 ×10⁻⁶×1200)-(250 ×10⁻⁶×800)}
T = 9.8×250×10⁻⁶(1200-800)
T = 9.8×250×10⁻⁶×200
T = 9.8×25×2×10⁻³
T = 0.49N