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JEE Main Physics Class 11 Motion in a Straight Line and Plane Part 1 Questions
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Question : 30
Total: 100
When a carsit at rest, its driver sees raindrops falling on it vertically. When driving the car with speed v, he sees that raindrops are coming at an angle 60º from the horizontal. On furter increasing the speed of the car to (1 + β)v, this angle changes to 45º. The value of β is close to:
[Sep. 06, 2020 (II)]
0.50
0.41
0.37
0.73
Validate
Solution:
The given situation is shown in the diagram. Here
v
r
be the velocity of rain drop.
When car is moving with speed
v
tan
60
°
=
v
r
v
........(i)
When car is moving with speed
(
1
+
β
)
v
,
tan
45
°
=
v
r
(
β
+
1
)
v
........(ii)
Dividing (i) by (ii) we get,
√
3
v
=
(
β
+
1
)
v
⇒
β
=
√
3
−
1
=
0.732
.
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