Problem 15 |Chapter 1 |Introduction to Physics |Concept of Physics |HC VERMA
Problem 15
Theory of relativity reveals that mass can be converted into energy. The energy ? so obtained is proportional to certain powers of mass ? and the speed ? of light. Guess a relation among the quantities using the method of dimensions.
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1.10 | Downhill Projectile
Exercise 1.10
A hill is sloped downward at an angle ? with respect to the horizontal. A projectile of mass ? is fired with speed ?_0 perpendicular to the hill. When it eventually lands on the hill, let its velocity make an angle ? with respect to the horizontal. Which of the quantities ?, ?, ?_0, and ? does the angle ? depend on? (Hint: Use dimensional analysis)
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Problem 3.3 IE IRODOV
Two small equally charged spheres, each of
mass m, are suspended from the same point by silk thread of length ?. The distance between the spheres ?≪?. Find the rate ??/?? with which the charge leaks off each sphere if their approach velocity varies as ?=?/√?, where ? constant.
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Problem 5.4 |Magnetostatics |Griffith |3rd ed.
Problem 5.4
Suppose that the magnetic field in some region has the form ? ⃗=?? ? ̂ (where ? is a constant). Find the force on a square loop (side ?), lying in the ?? plane and centered at the origin, if it carries a current ?, flowing counterclockwise, when you look down the ? axis.
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