Question

An airplane can fly because the air with the ____________ velocity will apply a greater force to that side of the wing. O greatest O least

Answer 1

Least velocity.

Step-by-step explanation:

According to the Bernauli's equation

`p^(2)+(1)/(2)\rho v^(2)+\rho gh= constant`

Here, v is the velocity, m is the mass, h is the height, P is the pressure,
`\rho` is the density

Now according to question.

`P_(1)^(2)+(1)/(2)\rho v_(1) ^(2)+\rho gh_(1) =P_(2)^(2)+(1)/(2)\rho v_(2) ^(2)+\rho gh_(2)`

Here airplane height is same means
`h_(1)=h_(2)` then the required equation will become.

`P_(1)^(2)+(1)/(2)\rho v_(1) ^(2)=P_(2)^(2)+(1)/(2)\rho v_(2) ^(2)`

Therefore,

`P_(1)-P_(2)=(1)/(2)\rho (v_(2) ^(2)-v_(1) ^(2))`

Therefore according to the situation
`P_(1)>P_(2)`

This will give the velocity relation
`v_(2) >v_(1)`

Therefore, airplane can fly with least velocity.