If you double the speed of the charged particle in the Figure while keeping the

Question

If you double the speed of the charged particle in the Figure while keeping the magnetic field the same (as well as the charge and the mass), how does this affect radius of the trajectory? (i) The radius is unchanged; (ii) the radius is twice as large; (ii) the radius is four times as large; (iv) the radius is 1/2 as large; (v) the radius is 1/4 as large. He^+ ions with charge +e move at 1.00 times 10^3 m/s in a straight line through a velocity selector. Suppose the He^+ ions were replaced with He^2+ ions, in which both electrons have been removed from the helium atom and the ion charge is +2e. At what speed must the He^2+ ions travel through the same velocity selector in order to move in a straight line? (i) 4.00 times 10^5 m/s; (ii) 2.00 times 10^5 ms; (iii) 1.00 times 10^5 m/s; (iv) 0.50 times 10^5 m/s; (v) 0.25 times 10^5 m/s. A solenoid that is 31.0 cm long and contains 490 circular coils 2, 60 cm in diameter carries a 3.30 A current. What is the magnetic field at the center of the solenoid, 1.30 cm from the coils? A. 6.56 times 10^-3 T B. 6.66 times 10^-2 C. 6.76 times 10^-3 T D. 6.86 times 10^-3 T E. 6.86 times 10^-3 T F. none of the above A circular loop of flexible iron wire has an initial circumference of 165.0cm, but its circumference is constant rate of 12.0cm/s due to a tangential pull on the wire. The loop is in a constant, uniform decreasing a magnetic field oriented perpendicular to the plane of the loop of magnitude 0.250T. Find the emf induced in the at the instant when 9.0s have passed. A. 2.55 times 10^-3 V B. 2.65 times 10^-3 V C. 2.75 times 10^-3 D. 2.85 times 10^-3 V E. 2.95 times 10^-3 V F. None of the above. A 17.0- mu F capacitor is charged by a 260.0 V power supply, then disconnected from the power and connected in series with a 0.270 mH inductor. Calculate the energy stored in the inductor at t - 130 ms. A. 5.96 times 10^-2 J B. 6.06 times 10 J C. 6.16 times 10^-2 J D. 6.26 times 10^-2 J E. 6.36 times 10^-2 J F None of the above A 203 Ohm resistor, a 0.950 H inductor, and a 6.25 mu F capacitor are connected in series across a voltage source that has voltage amplitude 58.0 V and an angular frequency of 255 rad/s, What is V_c at t = 19.0 ms? A. -83.8 V B. -82.8 V C. -81.8 V D 80.8 V E. -79.8 V F. None of the above An electromagnetic wave with frequency 32.5 Hz travels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency. The electric field has amplitude 7.20 times 10^-3 V/m. What is the wavelength of the wave? A. 2.02 times 10^6 m B. 2.12 times 10^6 m C. 2.22 times 10^6 m D. 2.32 times 10^6 m E. 2.42 times 10^6 m F. none of the above.

Explanation / Answer

9.

answer is ii)the radius is twice as large

here magnetic force is balanced by centripetal force

mv2/r =qvB

r=mv/qB

here radius of the trajectory is directly proportional to speed of the particle.therefore

r2/r1=v2/v1

r2=r*(2v/v)=2r

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