Minimum Speed Calculation in Physics Equations

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What is the objective of the textbook in relation to preparing students for professional courses?

To prepare students to observe and analyse various physical phenomena in the world around them and build a solid foundation for competitive examinations.

When was the National Curriculum Framework (NCR) formulated?

2005

Who prepared and designed the textbook incorporating the revised syllabus?

Maharashtra State Bureau of Textbook Production and Curriculum Research, (Balbharati), Pune

What is the significance of the textbook assuming background knowledge of the subject covered by the XIth standard textbook?

To ensure a smooth transition and continuity in the learning process.

Why is it mentioned that the book is not in the form of handy notes?

Because it contains historical background and in-depth discussions.

What was the year for the introduction of the revised syllabus based on the NCR and SCF?

2020-21

What is the centripetal force used for in the context of vertical circular motion?

To change the direction of velocity

What is the weight mg used for in the context of vertical circular motion?

To change the speed

At what positions is the resultant of weight mg and tension force directed towards the center?

Uppermost and lowermost positions

How does the magnitude of the force due to tension change with time and location?

Periodically

What is the value of the tension force at positions C and D?

3mg

What is the relationship between the tension forces at positions C and D and the minimum velocity?

They are equal to 3 times the minimum velocity

Explain the concept of resonance in LCR circuits.

Resonance in LCR circuits occurs when the inductive and capacitive reactances cancel each other out, leading to a peak in current flow.

How can the particle nature of light be established from experimental results?

The particle nature of light can be established through the photoelectric effect, where light behaves like discrete particles (photons) by ejecting electrons from a material.

What is the wavelength range of radiation necessary to obtain photocurrent from metals?

The necessary wavelength range of radiation to obtain photocurrent from metals is typically in the ultraviolet or visible light spectrum.

How can the wave nature of electrons be applied to illustrate better resolution in an electron microscope?

The wave nature of electrons allows electron microscopes to achieve higher resolution by using shorter wavelengths of electrons, which can resolve smaller details.

How can the age of a radioactive sample be obtained from its activity?

The age of a radioactive sample can be determined by measuring the decay activity of the sample and comparing it to the known decay rate of the radioactive material.

Explain the importance of nuclear power.

Nuclear power is important as it provides a reliable, low-carbon energy source that can generate large amounts of electricity, contributing to energy security and reducing greenhouse gas emissions.

What is the phenomenon called when a liquid rises or falls inside a capillary tube?

Capillarity

What are some examples of capillarity in action?

Oil rising up the wick of a lamp, cloth rag sucking water, water rising up crevices in rocks, sap and water rising up to the topmost leaves in a tree, and blotting paper absorbing ink.

What is the shape of the meniscus in a capillary tube when a liquid does not wet the surface?

Upper convex

What happens to the level of liquid in a capillary tube when it is dipped in a liquid that does not wet its surface?

The liquid level falls in the capillary

Explain the concept of capillary fall and mention the key points related to it.

Capillary fall occurs when a capillary tube is dipped in a liquid that does not wet its surface, causing the liquid level to fall inside the capillary. Points A, B, C, and D are identified, with point A above the convex surface and inside the capillary.

What does the term 'Capillarity' refer to?

Capillarity refers to the rise or fall of a liquid inside a capillary tube when it is dipped in the liquid.

What is the minimum possible speed on rough roads usually banked at smaller angles?

0

When is the direction of the force of static friction fs between the road and the tyres downwards?

For speeds v^2 > rg tan(theta), where N sin(theta) < mv^2/2

What is the maximum possible speed when the static friction is at its maximum value (equal to µsN)?

5.196 m/s

What should be the allowed minimum speed if it needs to be 10% higher than 5.196 m/s?

5.716 m/s

What should be the allowed maximum speed if it needs to be 10% lower than 8.775 m/s?

7.896 m/s

If friction is zero, can a vehicle move on the road?

No

Learn how to calculate the minimum speed required in physics equations involving inclined rough roads and banking angles. Explore the relationship between minimum speed, gravitational acceleration, angle of inclination, and other factors.

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