Compute the resonance frequency of free protons in a magnetic field of (a) 0.5 × 10-4T (the approximate strength of Earth's field), (b) 0.25 T, and (c) 0.5 T.
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Q: î × ƒ = k‚ ƒ × k = î, k×î=j, A× B = -B × A, |Ã× B|= AB sin 0, FB = qv×B,H R = = mv ‚ FÅ = IL × B. qB…
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A: Given that:V1=1.49 kVV2=164 Vd=17.6 mm=17.6×10-3 mq=-1.6×10-19C
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A: Formula:f=qB2πmRe-arranging the above equation we get, m=qB2πf-----(1)where, q=1.6×10-19 Cf=2.3×106…
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- proton is accelerated from rest in a circular orbit of diameter 10.16 cm through a magnetic field with kinetic energy of 0.3 MeV. Compute the magnetic field.The Hall effect can be used to determine the density of mobile electrons in a conductor. A thin strip of the material being investigated is immersed in a magnetic field and oriented so that its surface is perpendicular to the field. In a particular measurement, the magnetic field strength was 0.723 T, the strip was 0.107 mm thick, the current along the strip was 2.83 A, and the Hall voltage between the strip's edges was 2.73 mV. Find the density n of mobile electrons in the material. The elementary charge is 1.602 x 10-1° C. n = -3 mIn the figure, an electron accelerated from rest through potential difference V₁-1.33 kV enters the gap between two parallel plates having separation d = 24.1 mm and potential difference V₂= 175 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? LI Number(i î+ i Ĵ+ [4]1₂ d V₂ i k) Units <
- 11111 TEE MIXE ME ISASIE 1110 1 11F FRIT 111 Do all of the following: a) Write down an algebraic equation for the diameter D of the charged particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. गाना TE EHE (2 GRE TE ONE TEDE b) Calculate this diameter value for singly-ionized oxygen-16 based on the given values. Enter the numerical value in the box below, with two digits after the decimal, in units of meters. This is the fixed distance between the entry and exit holes in the device shown above. c) Suppose you want to re-tune the magnetic field so that now oxygen-18 passes into the detector by following the circular path as before. This new isotope is 18/16 = 1.125 times more massive, but the charge and speed are ICM the same as before. What is the new value of the magnetic field that will make that…Can you please help me with this question? Thank you so much!In the figure, an electron accelerated from rest through potential difference V₁-1.10 kV enters the gap between two parallel plates having separation d = 25.7 mm and potential difference V₂= 104 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? h Number ( i î+ i d V₂ k) Units
- If an electron in an atom has an orbital angular momentum with m¡ = 2, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 44 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m₁ = -2, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number i Units (b) Number UnitsThe magnetic dipole moment of the gadolinium atom is about 6.3 ✕ 10−23 A · m2. (a) Calculate the maximum magnetic dipole moment (in A · m2) of a domain consisting of 1019 gadolinium atoms. (b) What current (in A) would have to flow through a single circular loop of wire of diameter 1.2 cm to produce the magnetic dipole moment you calculated?A cyclotron used to accelerate protons has a uniform magnetic field of 0.69 T. What is the frequency at which the potential difference between the dees must oscillate? (Your result must be in units of MHz's. Include 1 digit after the decimal point and maximum of 3% of error is accepted in your answer. Take elementary charge 1.6 x 10 -19 C, mass of proton 1.67 x 10 -27 kg and π = 3.14.)
- A 180 V battery is connected across two parallel metal plates of area 28.5 cm2cm2 and separation 7.20mm. A beam of alpha particles (charge +2e+2e, mass 6.64×10-27kg6.64×10-27kg) is accelerated from rest through a potential difference of 1.50 kV and enters the region between the plates perpendicular to the electric field, What magnitude of magnetic field is needed so that the alpha particles emerge undeflected from between the plates? Express your answer with the appropriate units. What is the direction of this magnetic field? The magnetic field is directed out of the page. The magnetic field is directed upward. The magnetic field is directed into the page. The magnetic field is directed downward.When the magnetic field is into the page (X), is that negative z direction, and when the magnetic field is out of the page (.), is that positive z direction?In the figure, an electron accelerated from rest through potential difference V1=1.26 kV enters the gap between two parallel plates having separation d = 19.6 mm and potential difference V2= 52.4 V. The lower plate is at the lower potential. Neglect fringing and assume that the electron's velocity vector is perpendicular to the electric field vector between the plates. In unit-vector notation, what uniform magnetic field allows the electron to travel in a straight line in the gap? I need this in units of mT.