3. The intensity of radiation of a radioactive substance was measured at half-year intervals. The results were: t (years) 1.5 2 2.5 0.985 0.979 0.977 Y t (years) 3 3.5 4 4.5 5 5.5 Y 0.972 0.969 0.967 0.960 0.956 0.952 where y is the relative intensity of radiation. Knowing that radioactivity decays exponentially with time: y (t) ae-bt, estimate the radioactive half-life of the substance. 0.5 0 1.000 0.994 = 1 0.990
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- Aan TUUR IEACHER The four particles shown below are connected by rigid rods of negligible mass where y,6.60 m. The origin is at the center of the rectangle. The system rotates in thexy plane about mezawth an angular speed of 5.90 rad/s. 3.00 kg 2.00 kg 200 kg L00 kg 4.00 m- (a) Calculate the moment of inertia of the system about the z axis. kg m? (b) Calculate the rotational kinetic energy of the systemA clock is reading 10:30:00.0 (hr:min:sec) when it is discovered to be 4 seconds fast.Explain why it is undesirable to set it back to the right time at that point and show (numerically) how it should be adjusted so as to be correct after 12 seconds has elapsed.During a journey, a car accelerates from (10 m/s) to (20 m/s) in (5 sec). Calculate the acceleration of the car: 2.5 О 3.0 1.5 2.0 A bullet of mass 20g is found to pass two points 30m apart in a time interval of 4s. Calculate the kinetic energy of the bullet if it moves with constant speed. * 0.562J O 5J 2J O 2.5J
- The van der Waal's equation of state is given as RT a v-b v² For sulfur dioxide at temperature, T, of 300 K and a pressure, P, of 1 atm, the constants are given as: R = 0.08206 L.atm/(mol.K) L2.mol² P = a = 6.7689 atm.L b=0.05679 L.mol™¹ a) Plot the function f(v)=0 the for volumes for the range of 0 to 40 L/mol using 0.5 increment. b) Identify the root in this plot (where the curve crosses x-axis). c) Use the MATLAB function (fzero) to solve the original f(v) function for the specific volume using the initial guess from part (c). d) Use the MATLAB function (roots) to solve the original f(v) function for the specific volume.The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/mQuestion 24 2 pts A radioactive material decays at a rate proportional to its amount. If the material has a life of 30 minutes, what percent of the original mass is expected to remain after 0.8 hours ?
- In the Bohr model of the hydrogen atom, an electron in the 4th excited state moves at a speed of 1.37 x 105 m/s in a circular path of radius 8.46 x 1010 m. What is the effective current associated with this orbiting electron? 4.12373E3 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mAH.W: Find (HPBW) and (FNBW), in radians and degrees, for the following normalized radiation intensities, then draw the radiation pattern: (a) U(0) = cos(20) %3D (c) U(0) = cos(20) cos(30) %3DA spontaneous exothermic reaction at a constant temperature and pressure of 50∘C and 2.0 atm has an enthalpy decrease of 350 kJ. This reaction performs 150 kJ of useful work, which is 54% of the maximum work that could be done. What is the reaction’s change of entropy? Express your answer to two significant figures and include the appropriate units.
- Two x-ray images of the hand are shown. One corresponds to an x-ray beam with an effective energy of a) 140 keV and the other to an effective energy of b) 50 keV. Identify which is which, and the reasons for the differences in the image contrast and signal intensity. a.None of the above. b.The attenuation coefficient does not gives rise to contrast in x-ray imaging and is not energy dependent. At 50 keV the attenuation coefficient is about the same between tissues and bone showing no contrast, whereas at 140 keV there is a greater difference between tissues showing greater contrast. c.The attenuation coefficient gives rise to contrast in x-ray imaging and is energy dependent. At 140 keV the attenuation coefficient is about the same between tissues and bone showing no contrast, whereas at 50 keV there is a greater difference between tissues showing greater contrast. d. The attenuation coefficient gives rise to contrast in x-ray imaging and is energy dependent. At 50 keV the attenuation…If the crystal lattice constant is the length of the edge of the cube crystal unit in sodium, whose composition is type (BCC) equaí to (4.24A°) angstroms. What is the distance between two neighboring atoms? Calculate the sodium density if its atomic weight is (23).An aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/s