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JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A wind-10.Powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed \(v\), the electrical 10.Power output will be most likely proportional to
- A \(v^4\)
- B \(v^2\)
- C \(v\)
- D \(v^3\)
Answer & Solution
Correct Answer
(D) \(v^3\)
Step-by-step Solution
Detailed explanation
10.Power \(=\mathrm{F} \bullet \mathrm{v}=\mathrm{Fv} F=v\left(\frac{d m}{d t}\right)=v\left\{\frac{d(\rho \times \text {volume})}{d t}\right\}\) \(=\rho v\left\{\frac{d(v o l u m e)}{d t}\right\}=\rho v(A v)=\rho A v^{2} \therefore\) 10.Power \(P=\rho A v^{3} \quad\) or…
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