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JEE Mains 06-Sep-2020 Shift 2 Solved Paper
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© examsnet.com
Question : 20
Total: 75
When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed
v
, he sees that rain drops are coming at an angle
60
°
from the horizontal. On further increasing the speed of the car to
(
1
+
β
)
v
,
this angle changes to
45
°
.
The value of
β
is close to:
0.41
0.50
0.37
0.73
Validate
Solution:
Rain is falling vertically downwards.
→
v
r
∕
m
=
→
v
r
−
→
v
m
tan
60
°
=
v
r
v
m
=
√
3
v
r
=
v
m
√
3
=
v
√
3
Now,
v
m
=
(
1
+
B
)
v
and
θ
=
45
°
tan
45
°
=
v
r
v
m
=
1
v
r
=
v
m
v
√
3
=
(
1
+
β
)
v
√
3
=
1
+
β
⇒
β
=
√
3
−
1
=
0.73
© examsnet.com
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