Question
- Obtain the expression for the cyclotron frequency.
- A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.
✓
Answer
- $\frac{mv^2}{r}=qvB$
$r=\frac{mv}{qB}$
Frequency of revolution $(v)=\frac{1}{Time\text{ }period}=\frac{v}{2\pi r}$
$v=\frac{qB}{2\pi m}$
- No The mass of the two particles, i.e deuteron and proton, is different. Since (cyclotron) frequency depends inversely on the mass, they cannot be accelerated by the same oscillator frequency.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The nucleus $^{235}_{92}\text{Y},$ initially at rest, decays into $^{231}_{90}\text{X}$ by emitting an $\alpha-$particle
$^{235}_{92}\text{Y}\xrightarrow{ \ \ \ \ \ \ \ \ } \ ^{231}_{90}\text{X}+ \ ^4_2\text{He}+\text{energy}.$
The binding energies per nucleon of the parent nucleus, the daughter nucleus and $\alpha-$particle are 7.8MeV, 7.835MeV and 7.07MeV, respectively. Assuming the daughter nucleus to be formed in the unexcited state and neglecting its share in the energy of the reaction, find the speed of the emitted $\alpha-$particle. (Mass of $\alpha-$particle = 6.68 × 10–27kg).
→→$^{235}_{92}\text{Y}\xrightarrow{ \ \ \ \ \ \ \ \ } \ ^{231}_{90}\text{X}+ \ ^4_2\text{He}+\text{energy}.$
The binding energies per nucleon of the parent nucleus, the daughter nucleus and $\alpha-$particle are 7.8MeV, 7.835MeV and 7.07MeV, respectively. Assuming the daughter nucleus to be formed in the unexcited state and neglecting its share in the energy of the reaction, find the speed of the emitted $\alpha-$particle. (Mass of $\alpha-$particle = 6.68 × 10–27kg).
Get the electric field due to on infinitely long straight uniformly changed wire.
It is said that any charge given to a conductor comes to its surface. Should all the protons come to the surface? Should all the electrons come to the surface? Should all the free electrons come to the surface?
A circular copper-ring of radius r translates in its plane with a constant velocity v. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the ring. Consider different pairs of diametrically opposite points on the ring.
- Between which pair of points is the emf maximum? What is the value of this maximum emf?
- Between which pair of points is the emf minimum? What is the value of this minimum emf?
The graph shown here shows the variation of terminal potential difference V, across a combination of three cells in series to a resistor, versus current i:
- Calculate the emf of each cell.
- For what current i, will the power dissipation of the circuit be maximum?
With the help of a suitable diagram, explain the formation of depletion region in a p-n junction. How does its width change when the junction is (i) forward biased, and (ii) reverse biased?
Write Einstein's photoelectric equation. State clearly how this equation is obtained using the photon picture of electromagnetic radiation.
Write the three salient features observed in photoelectric effect which can be explained using this equation.
Write the three salient features observed in photoelectric effect which can be explained using this equation.
A mobile phone is placed on the principal axis of a concave mirror. Show the formation of the image with a suitable ray diagram. Explain why the magnification is not uniform. Does the distortion of the image depend on the position of the phone relative to the mirror?
Three charges are arranged on the vertices of an equilateral triangle as shown in figure. Find the dipole moment of the combination.
