Kinematics 5 Question 6

8. Two guns A and B can fire bullets at speeds 1km/s and 2km/s, respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets on the ground fired by the two guns is

(Main 2019, 10 Jan I)

(a) 1:4

(b) 1:16

(c) 1:8

(d) 1:2

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Answer:

Correct Answer: 8. (b)

Solution:

  1. Bullets from guns can reach upto a distance of maximum range which occurs when projection is made at angle of 45. Maximum range for gun

A=R1=u12g

Maximum range for gun

B=R2=u22g

So, ratio of covered areas

=π(R1)2π(R2)2=πu14/g2πu24/g2=u14u24

Here, u1=1km/s and u2=2km/s

So, ratio of areas =1424=116=1:16



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