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Rain is falling vertically with a speed of 30 ms−1. A woman rides a bicycle with a speed of 12 ms−1 in east to west direction. In which direction she should hold her umbrella?
- a)At an angle of tan−1(2/5) with the vertical towards the east.
- b)At angle of tan−1(2/5) with the vertical towards the west.
- c)At angle of tan−1 (5/2) with the vertical towards the east.
- d)At angle of tan−1 (5/2) with the vertical towards the west.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Rain is falling vertically with a speed of 30ms−1. A woman rides...
In the figure, 
represents the velocity of rain and vb the velocity of the bicycle, the woman is riding. To protect herself from rain, the woman should hold her umbrella in the direction of the relative velocity of rain with respect to the bicycle
From figure,
Therefore, the woman should hold her umbrella at an angle of tan−1(2/5)with the vertical towards the west.
represents the velocity of rain and vb the velocity of the bicycle, the woman is riding. To protect herself from rain, the woman should hold her umbrella in the direction of the relative velocity of rain with respect to the bicycleFrom figure,Therefore, the woman should hold her umbrella at an angle of tan−1(2/5)with the vertical towards the west.
Most Upvoted Answer
Rain is falling vertically with a speed of 30ms−1. A woman rides...
Analysis:
To determine the direction in which the woman should hold her umbrella, we need to consider the relative motion of the rain with respect to the woman riding the bicycle.
Relative Velocity:
The woman is riding the bicycle at a speed of 12 m/s towards the west, and the rain is falling vertically at a speed of 30 m/s. The relative velocity of the rain with respect to the woman is the vector sum of their velocities.
Vector Addition:
When the rain is falling vertically at 30 m/s and the woman is moving towards the west at 12 m/s, the resultant velocity of the rain with respect to the woman is given by the vector addition of these velocities.
Direction of Umbrella:
The angle at which the woman should hold her umbrella is the angle at which the resultant velocity of the rain is directed. Since the woman is moving towards the west, the angle of the umbrella should be such that it deflects the rain towards the west to prevent it from hitting her.
Therefore, the woman should hold her umbrella at an angle of tan-1(2/5) with the vertical towards the west.
So, option B is the correct answer.
To determine the direction in which the woman should hold her umbrella, we need to consider the relative motion of the rain with respect to the woman riding the bicycle.
Relative Velocity:
The woman is riding the bicycle at a speed of 12 m/s towards the west, and the rain is falling vertically at a speed of 30 m/s. The relative velocity of the rain with respect to the woman is the vector sum of their velocities.
Vector Addition:
When the rain is falling vertically at 30 m/s and the woman is moving towards the west at 12 m/s, the resultant velocity of the rain with respect to the woman is given by the vector addition of these velocities.
Direction of Umbrella:
The angle at which the woman should hold her umbrella is the angle at which the resultant velocity of the rain is directed. Since the woman is moving towards the west, the angle of the umbrella should be such that it deflects the rain towards the west to prevent it from hitting her.
Therefore, the woman should hold her umbrella at an angle of tan-1(2/5) with the vertical towards the west.
So, option B is the correct answer.
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Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer?
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Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer?.
Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rain is falling vertically with a speed of 30ms−1. A woman rides a bicycle with a speed of 12ms−1in east to west direction. In which direction she should hold her umbrella?a)At an angle of tan−1(2/5) with the vertical towards the east.b)At angle of tan−1(2/5) with the vertical towards the west.c)At angle of tan−1(5/2) with the vertical towards the east.d)At angle of tan−1(5/2) with the vertical towards the west.Correct answer is option 'B'. Can you explain this answer?.
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