What is the value of `B` that can be set up at the equator to permit a proton of speed `10^7m//s` to circulate around the earth?
`[R=6.4xx10^6m,m_p=1.67xx10^-27kg]`

A cyclotron's oscillator frequency is 10MHz . What should be the operating magnetic field fro accelerating protons? If the radius of its dees is 60cm , what is the kinetic energy (in MeV ) of the proton beam produced by the acceleration? (e-1.60xx10^-19C,m_p=1.67xx10^-27kg, 1MeV=1.6xx10^-13J)

A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: Time period of revollution of satellite around the earth is

A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: The value of h is

The critical speed of a satellite orbiting very close to the surface of the earth is [g=10 m//s^(2) and R=6.4xx10^(-6)m]

What is the force of gravity on a body of mass 150 kg lying on earth (Mass of earth =6 xx 10^(24) kg Radius of earth = 6 .4 xx 10^(6) m G= 6 .7 xx 10-11 Nm^2//kg^2)

Show that if the earth were not rotating about its axis the value of g at the equator would exceed its present value by 3.36cm//s^(-2) . Given the radius of earth = 6.371xx 10^(6)m . and angular speed of earth =7.27xx10^(-5)rad//s^(-1)

The de broglie wavelength of an electron moving with a speed of 6.6xx10^5 m//s is of the order of (h=6.6xx10^(-34) Js " and " m_e = 9xx10^(-31) kg)