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A heavy particle is projected from a poi...

A heavy particle is projected from a point on the horizontal at an angle `45^(@)` wil the horizontal with a speed of 20 m/s. Then the radius of the curvature of its path at the instant of crossing the same horizontal is ______

A

`10 sqrt(2)`

B

`40 sqrt(2)`

C

`20 sqrt(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Radial acceleration at the point of landing
`a_(n) = g cos 45 = (u^(2))/(r)`
`rArr r =(u^(2))/(g cos45)=((20)^(2))/(10xx1//sqrt(2))=40 sqrt(2)`
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