A radar spots an enemy plane. A radio pulse is sent by radar and reflected by the plane reaches back in 0.5 x 10 -3 sec. What is the distance of the plane from the radar station? Take speed of radar pulse = speed of light = 3 x 10 8 m/sec.
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EThe radio waves, at first, reach to the plane. Then they get reflected by the plane and so the reflected radio waves reach the radar again where they get detected. So, radio waves have to travel twice the distance between the plane and the radar.
Distance between the plane and radar d=300 km
Distance traveled by radio waves D=2d=2×300=600 km
∴ D=600×10
3
m
Speed of radio waves v=3×10
8
m/s
So, time taken by radar to detect the radio waves t=
v
D
∴ t=
3×10
8
600×10
3
=2×10
−3
s
EThe radio waves, at first, reach to the plane. Then they get reflected by the plane and so the reflected radio waves reach the radar again where they get detected. So, radio waves have to travel twice the distance between the plane and the radar.
Distance between the plane and radar d=300 km
Distance traveled by radio waves D=2d=2×300=600 km
∴ D=600×10
3
m
Speed of radio waves v=3×10
8
m/s
So, time taken by radar to detect the radio waves t=
v
D
∴ t=
3×10
8
600×10
3
=2×10
−3
s
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