Verify that the cyclotron frequency `omega=(eB)/m` has the correct dimensions of `[T]^-1`.

[M^(1)L^(1)T^(-2)] are the dimensions of

The cyclotron frequency of an electron gyrating in a magneti fied of 1 T is approximately

Direction. In the follwing questions, a statement of assertion is followed by a statement of reason. While answering a question, you are required to choose the correct are out of the given four responses and mark it as (A). If both assertion and reason are true and reason is the correct explanation of the assertion, (B) if both assertion and reason are true but reason is not correct explanation of the assertion. (C) if asssertion is true, but reason if false, (D) if both assertion and reason are false Assertion : There are two values of angular frequency symmetrical about resonant angular frequency, for which same current can fow in an LCR-circuit. Reason : The two angular frequencies are given by omega _1 = 1 //sqrt(LC) and omega_2 = sqrt(LC)

Which of the following physical quantities possesses the dimensions of M^-1L^-3T^3A^2 ?

For an LCR circuit driven at frequency omega , the equation reads L(di)/(dt) + R_i +q/C=v_t = v_msinomegat Interpret each term physically.

For an LCR circuit driven at frequency omega , the equation reads L(di)/(dt) + R_i +q/C=v_t = v_msinomegat Multiply the equation by i and simplify where possible?

For an LCR circuit driven at frequency omega , the equation reads L(di)/(dt) + R_i +q/C=v_t = v_msinomegat Cast the equation in the form of a conservation of energy statement.

KE of a rotating body is given by 1/2 I omega^2 ,where l is moment of inertia and omega is nagular velocity of the body.Find the dimensions of I.

An LCR circuit has L = 10 mH, R = 3 Omega and C = 1 mu F and is connected in series to a source of (15 cos omega t) volt. Calculate the current amplitude at a frequency 10 % lower than the resonance frequency of the circuit.