Question
Medium
Solving time: 3 mins
To a cyclist riding with uniform velocity along a horizontal road, the rain appears to fall at to vertical. When he doubles his speed, rain appears to fall at to vertical.
1. If the velocity of the cyclist is to the right, the direction of rain is represented correctly as given in: ( of cyclist, velocity of rain)
(d) can be
2. The angle that the direction of rain makes to vertical is
(a)
(b)
(c) can be
(d) neither or nor
3. The ratio of speed of rain to that of the cyclist (before doubling) is
(a)
(b)
(c)
(d)
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Text solutionVerified
Let the condition be as in option a
Let a be the horizontal component of rain velocity ,
vertical component of rain velocity
velocity of cyclist (modular value)
final relative velocity (i.e. and )
Taking modulus values, for trigonometric equations:
Case 1:
Case 2:
Note:
If you assume condition, as in option (b) and solve, you will get -ve value for a; implying the vector has to be in the opposite direction of the chosen direction ic, as in case (a)
key (b)
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Question Text | To a cyclist riding with uniform velocity along a horizontal road, the rain appears to fall at to vertical. When he doubles his speed, rain appears to fall at to vertical. 1. If the velocity of the cyclist is to the right, the direction of rain is represented correctly as given in: ( of cyclist, velocity of rain) (d) can be 2. The angle that the direction of rain makes to vertical is (a) (b) (c) can be (d) neither or nor 3. The ratio of speed of rain to that of the cyclist (before doubling) is (a) (b) (c) (d) |
Topic | Motion in a Plane |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 |
Upvotes | 109 |