Advertisements
Advertisements
प्रश्न
Verify that the units weber and volt second are the same.
Advertisements
उत्तर
Force experienced by the charge q moving with velocity v in a magnetic field B is given by
F = qVB
Hence, B = `F/(qV)`
Also, weber/m2 is the unit for magnetic field B.
Now, equating both the units of the magnetic field B, we get:
`Weber/m^2 = "f"/ (qxxv)`
⇒ `Weber = Fxxm^2/(qxxmxxs^-1) =( Fxxm)/(qxxs^-1)=W/qxx s ="Volt"xxs`
Thus, the units weber and volt second are same.
APPEARS IN
संबंधित प्रश्न
Show that the time period of revolution of particles in a cyclotron is independent of their speeds. Why is this property necessary for the operation of a cyclotron?
State the underlying principle of a cyclotron. Write briefly how this machine is used to accelerate charged particles to high energies
Deduce an expression for the frequency of revolution of a charged particle in a magnetic field and show that it is independent of velocity or energy of the particle.
Explain the principle and working of a cyclotron with the help of a schematic diagram. Write the expression for cyclotron frequency.
(a) An electron moves along a circle of radius 1 m in a perpendicular magnetic field of strength 0.50 T. What would be its speed? Is it reasonable? (b) If a proton moves along a circle of the same radius in the same magnetic field, what would be its speed?
\[\ce{Fe+}\] ions are accelerated through a potential difference of 500 V and are injected normally into a homogeneous magnetic field B of strength 20.0 mT. Find the radius of the circular paths followed by the isotopes with mass numbers 57 and 58. Take the mass of an ion = A (1.6 × 10−27) kg, where A is the mass number.
Answer the following question.
State the underlying principle of a cyclotron. Explain its working with the help of a schematic diagram. Obtain the expression for cyclotron frequency.
A cyclotron's oscillator frequency is 10 MHz. What should be the operating magnetic field for accelerating protons? If the radius of its 'dees' is 60 cm, calculate the kinetic energy (in MeV) of the proton beam produced by the accelerator.
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Its centripetal acceleration is ______.
A particle of mass m is moving in a circular path of constant radius r such that, its centripetal acceleration ac is varying with time t as ac = k2rt2, where k is a constant. The power delivered to the particle by the forces acting on it is ______.
The cyclotron was designed by ______
A cyclotron can accelerate ______.
In a cyclotron, a charged particle ______.
