A steel tube with diameters d2 5 86 mm and d1 5 52 mm is twisted by torques at the ends. The diameter of a solid steel shaft that resists the same torque at the same maximum shear stress is approximately:

(A) 56 mm

(B) 62 mm

(C) 75 mm

(D) 82 mm


(D) 82 mm

Physics & Space Science

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The lookback time of the cosmological horizon is

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If the distance between two isolated parallel plates that are oppositely charged is doubled, the electric field between the plates is essentially unchanged. However, the:

a. potential difference between the plates will double. b. charge on each plate will double. c. force on a charged particle halfway between the plates will get twice as small. d. force on a charged particle halfway between the plates will get four times as small.

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The electrons in a beam are moving at 18 m/s. (melectron = 9.11 × 10-31 kg, h = 6.626 × 10-34 J ? s)

(a) What is its de Broglie wavelength these electrons? (b) If the electron beam falls normally on a diffraction grating, what would have to be the spacing between slits in the grating to give a first-order maximum at an angle of 30° with the normal to the grating?

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What is the energy density in the magnetic field 25 cm from a long straight wire carrying a current of 12 A? (?0 = 4? × 10-7 T • m/A)

A) 7.3 × 10-5 J/m3 B) 3.6 × 10-4 J/m3 C) 3.7 × 10-5 J/m3 D) 1.2 × 10-4 J/m3 E) The density cannot be determined without knowing the volume.

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