KCET2014PhysicsRay Optics
An aeroplane executes a horizontal loop at a speed of ( 720 kmph ) with its wings banked at ( 45^ ). What is the radius of the loop? Take ( g =10 ~ms ⁻² ).
Options
- A4
- B( 4.5 ~km )
- C( 7.2 ~km )
- D( 2 ~km )
Correct answer
A. 4
Step-by-step solution
Given, speed of aeroplane =720 kmph =200 ~ms ⁻¹ angle of wings =45^ ; g=10 ~ms ⁻² Now we know that = v² r g r= v² g r= (200)² 45^ 10 = (200)² 10 =400 ~m =4 ~km Thus, radius of the loop is 4 ~km