Question:

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If \(r_d\) and \(r_p\) are the radii of their circular paths respectively, then the ratio \(\frac{r_d}{r_p}\) will be \(\sqrt x:1\) where \(x\) is__________

Updated On: Sep 24, 2024
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Correct Answer: 2

Solution and Explanation

 \(x\) is \(\underline{2}\)
\(R=\frac{\sqrt{2mK}}{qB}\)
Therefore, \(\frac{r_d}{r_p}=\frac{\frac{\sqrt{md}}{qd}}{\frac{\sqrt{mp}}{qp}} =\sqrt2\)
\(Hence,\)  \(x = 2\)
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Kinetic energy

Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.