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KEAM 2017 Physics and Chemistry Paper
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© examsnet.com
Question : 6
Total: 120
A train of length L move with a constant speed
V
t
. A person at the back of the train fires a bullet at time t = 0 towards a target which is at a distance of D (at time t =0) from the front of the train (on the same direction of motion). Another person at the front of the train fires another bullet at time t = T towards the same target. Both bullets reach the target at the same time. Assuming the speed of the bullets,
V
b
, are same, the length of the train is
T
×
(
V
b
+
2
V
t
)
T
×
(
V
b
+
V
t
)
2
T
×
(
V
b
+
2
V
t
)
2
T
×
(
V
b
−
2
V
t
)
T
×
(
V
b
−
2
V
t
)
None of the above
Validate
Solution:
Bullets from both person reaches target at same instant, so we equate time to get,
L
−
D
V
b
−
V
t
=
D
V
b
−
V
t
+
T
L
V
b
−
V
t
=
D
V
b
+
V
t
+
D
V
b
−
V
t
+
T
=
D
(
V
b
−
V
t
+
V
b
+
V
t
)
V
b
2
−
V
t
2
+
T
L
V
b
−
V
t
=
2
V
b
D
V
b
2
−
V
t
2
+
T
⇒
L
=
2
V
b
D
V
b
+
V
t
+
T
(
V
b
−
V
t
)
None of the option is matching
© examsnet.com
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