
At a curved path of the road, the road bed is raised a little on the side away from the center of the curved path. The slope of the road bed is given by
A.
B.
C.
D.
Answer
489.9k+ views
Hint:In this question, first assume that the road is inclined with an angle and then we will resolve the angles for an object moving on the inclined road in the horizontal and the vertical direction and then solving both the equation to find the slope of the road bed.
Complete step by step answer:
Let the angle through which road bed is raised be .Mass of an object on the bed be . Velocity of the object through which it is moving be .
From the above diagram we can see the road is inclined with an angle so the normal acting on the object will also incline with an angle .Now if we resolve the normal with an angle in horizontal and the vertical direction we can write,
In x-direction
In y-direction
Hence by applying Newton's law in horizontal and the vertical directions we can write,
Now divide equation (i) by equation (ii), hence we get
Hence the slope of the road bed will be
Hence,option C is correct.
Note:Slope plays a vital role in making the vehicles turn on the curved road. If the road is curved without any slope (slope 0) then, the chance of accidents increases. Students must note that to make the turning of a vehicle safe on a curved road the outer edge of the road is raised above the inner edge to make some inclination with the horizontal.
Complete step by step answer:
Let the angle through which road bed is raised be

From the above diagram we can see the road is inclined with an angle
In x-direction
In y-direction
Hence by applying Newton's law in horizontal and the vertical directions we can write,
Now divide equation (i) by equation (ii), hence we get
Hence the slope of the road bed will be
Hence,option C is correct.
Note:Slope plays a vital role in making the vehicles turn on the curved road. If the road is curved without any slope (slope 0) then, the chance of accidents increases. Students must note that to make the turning of a vehicle safe on a curved road the outer edge of the road is raised above the inner edge to make some inclination with the horizontal.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
EMI starts from ₹2,775 per month
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How much is 23 kg in pounds class 11 chemistry CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
