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Question

A bird of mass 1.23kg is able to hover by imparting a downward velocity of 10 m/s uniformly to air of density 'p' kg/m3 over an effective area 0.1m2. The acceleration due to gravity is 10m/s2. Then the magnitude of 'p' in kg/m3

A
0.34
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B
0.89
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C
1.23
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D
4.8
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Solution

The correct option is C 1.23
m=1.23kgA=0.1m2v=10m/sg=10ms2e=?
Weight=Force by wings
mg=eAu2
e=mgAu2=1.23×100.1×10×10=1.23kg/m3

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