JEE Main20211 Sep 2021Evening ShiftPhysicsMotion in Two DimensionsActual
The ranges and heights for two projectiles projected with the same initial velocity at angles 42 ° and 48 ° with the horizontal are R 1 , R 2 and H 1 , H 2 respectively. Choose the correct option:
Options
- AR 1 = R 2 and H 1 = H 2
- BR 1 = R 2 and H 1 < H 2
- CR 1 > R 2 and H 1 = H 2
- DR 1 < R 2 and H 1 < H 2
Correct answer
B. R 1 = R 2 and H 1 < H 2
Step-by-step solution
Range R = u 2 sin 2 θ g and same for θ and 90 - θ . So, same for 42 ° and 48 ° Maximum height H = u 2 sin 2 θ 2 g , so height is high for higher θ . So, H for 48 ° is higher than H for 42 ° .