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MCQS
FMDC 2023
Q-183
<p>At what angle of projection of a projectile the range becomes half of its maximum value?</p>
Physics
Motion in Two Dimensions
Maximum height and range of projectile
Question 183 of 200
Multiple Choice
15 
68.71%
Explanation:

R=Vi2(sin 2θ)/g

At given condition:

Maximum range= Rmax= vi2θ/g. 

For the maximum range, sin2θ=1 which is possible if we put the angle as 45 degrees but to get half of the maximum range we should take θ such that sin2θ is equal to 0.5. It is known that sin 30=0.5 so if we put θ as 15 we will get sin2(15)=sin 30=0.5. 

20
6.37%
Explanation:

As per the explanation, this is incorrect.

R=Vi2(sin 2θ)/g

At given condition:

Maximum range= Rmax= vi2θ/g. 

For the maximum range, sin2θ=1 which is possible if we put the angle as 45 degrees but to get half of the maximum range we should take θ such that sin2θ is equal to 0.5. It is known that sin 30=0.5 so if we put θ as 15 we will get sin2(15)=sin 30=0.5. 

30
17.61%
Explanation:

As per the explanation, this is incorrect.

R=Vi2(sin 2θ)/g

At given condition:

Maximum range= Rmax= vi2θ/g. 

For the maximum range, sin2θ=1 which is possible if we put the angle as 45 degrees but to get half of the maximum range we should take θ such that sin2θ is equal to 0.5. It is known that sin 30=0.5 so if we put θ as 15 we will get sin2(15)=sin 30=0.5. 

40
7.31%
Explanation:

As per the explanation, this is incorrect.

R=Vi2(sin 2θ)/g

At given condition:

Maximum range= Rmax= vi2θ/g. 

For the maximum range, sin2θ=1 which is possible if we put the angle as 45 degrees but to get half of the maximum range we should take θ such that sin2θ is equal to 0.5. It is known that sin 30=0.5 so if we put θ as 15 we will get sin2(15)=sin 30=0.5. 

Explanation

R=Vi2(sin 2θ)/g

At given condition:

Maximum range= Rmax= vi2θ/g. 

For the maximum range, sin2θ=1 which is possible if we put the angle as 45 degrees but to get half of the maximum range we should take θ such that sin2θ is equal to 0.5. It is known that sin 30=0.5 so if we put θ as 15 we will get sin2(15)=sin 30=0.5.