Question

11. Four bodies P, Q, R and S are projected with equal
velocities having angles of projection 15°, 30°, 45° and
60° with the horizontal respectively. The body having
shortest range is
(1) P
(2)Q
(3) R
(4) S​

Answer 1

Answer:

ʟᴇᴛ ᴜ ʙᴇ ᴛʜᴇ ᴇqᴜᴀʟ ꜱᴩᴇᴇᴅ ᴏꜰ ᴀʟʟ ꜰᴏᴜʀ ʙᴏᴅɪᴇꜱ.

ʀᴀɴɢᴇ, ʀ=ɢᴜ2ꜱɪɴ2θ

ʀᴀɴɢᴇ ᴏꜰ ᴀ, ʀ1=ɢᴜ2ꜱɪɴ30ᴏ=2ɢᴜ2

ʀᴀɴɢᴇ ᴏꜰ ʙ, ʀ2=ɢᴜ2ꜱɪɴ60ᴏ=2ɢ3ᴜ2

ʀᴀɴɢᴇ ᴏꜰ ᴄ, ʀ3=ɢᴜ2ꜱɪɴ90ᴏ=ɢᴜ2

ʀᴀɴɢᴇ ᴏꜰ ᴅ, ʀ4=ɢᴜ2ꜱɪɴ120ᴏ=2ɢ3ᴜ2

ʜᴇɴᴄᴇ, ᴏᴩᴛɪᴏɴ (ᴀ) ɪꜱ ᴄᴏʀʀᴇᴄᴛ.