omron-sinicx/MaterialBENCH huggingface dataset:
Question: Calculate the saturation magnetization (A/m) for Fe3O4 given that each cubic unit cell contains 8 Fe2+ and 16 Fe3+ ions, and that the unit cell edge length is 0.839 nm. Choose the answer from the following four choices: (a) 2.5 x 10^5, (b) 7.5 x 10^5, (c) 1.3 x 10^5, and (d) 5.0 x 10^5.
Answer: (d)
Question: Design a cubic mixed-ferrite magnetic material that has a saturation magnetization of 5.25 x 10^5 A/m. Which ion should be used for replacening Fe 2+ and what content? Choose the answer from the following four choices: (a) Co2+, replace 20 at% of Fe2+ in Fe3O4, (b) Fe3+, replace 5.2 at% of Fe2+ in Fe2O3, (c) Ni2+, replace 20 at% of Fe2+ in Fe2O3, and (d) Mn2+, replace 20 at% of Fe2 in Fe3O4.
Answer: (d)
Question: A coil of wire 0.20 m long and having 200 turns carries a current of 10 A.
What is the magnitude of the magnetic field strength H (T turns/m)? Choose the answer from the following four choices: (a) 10000, (b) 4000, (c) 10, and (d) 0.4.
Answer: (a)
Question: The magnetic flux density within a bar of some material is 0.435 tesla at an H field of 3.44 x 10^5 A/m. Calculate the magnetic susceptibility for this material. Choose the answer from the following four choices: (a) 1.26 x 10^-6, (b) 0.188, (c) 6.0 x 10^-3, and (d) 1.006.
Answer: (c)
Question: Calculate the saturation magnetization (A/m) for cobalt, which has a net magnetic moment per atom of 1.72 Bohr magnetons and a density of 8.90 g/cm3. Choose the answer from the following four choices: (a) 1.83 x 10^4, (b) 1.45 x 10^6, (c) 4.90 x 10^5, and (d) 63.6.
Answer: (b)
Question: The chemical formula for manganese ferrite may be written as (MnFe2O4)8 because there are eight formula units per unit cell. If this material has a saturation magnetization of 5.6 x 10^5 A/m and a density of 5.00 g/cm3, estimate the number of Bohr magnetons associated with each Mn2+ ion. Choose the answer from the following four choices: (a) 4.6 x 10^6, (b) 3.7, (c) 37, and (d) 4.6.
Answer: (d)
Question: The following data are for a transformer steel:
H (A/m)  B (teslas)
0  0 
10  0.03 
20  0.07
50  0.23 
100  0.70 
150  0.92
200  1.04
400  1.28
 600  1.36
800  1.39
1000  1.41
What are the values of the initial permeability (H/m) and initial relative permeability? Answer in the style [inisial permeability, initiona relative permeability]. Choose the answer from the following four choices: (a) 3 x 10^-3 , 2388, (b) 7 x 10^-3, 2388, (c) 1.41 x 10^-3, 1114, and (d) 1.14 x 10^-3, 5569.

Answer: (a)
Question: The fraction of nonreflected light that is transmitted through a 200-mm thickness of glass is 0.98. Calculate the absorption coefficient (mm^-1) of this material. Choose the answer from the following four choices: (a) 4.39 x 10^-5, (b) 4.04, (c) 1.75, and (d) 1.01 x 10^-4.
Answer: (d)
Question: Calculate the velocity of light (m/s) in calcium fluoride (CaF2), which has a dielectric constant of 2.056 (at frequencies within the visible range), and a magnetic susceptibility of -1.43 x 10^-5. Choose the answer from the following four choices: (a) 5.53 x 10^10, (b) 2.09 x 10^8, (c) 1.64 x 10^5, and (d) 0.7.
Answer: (b)
Question: The indices of refraction of a soda–lime glass within the visible spectrum is 1.51. Determine the fraction of the relative dielectric constant at 60 Hz that is due to electronic polarization, using the data of the table below. Neglect any orientation polarization effects. Choose the answer from the following four choices: (a) 0.22, (b) 0.33, (c) 0.57, and (d) 0.38.
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Materials  Dielectric constant at 60 Hz  at 1MHz
soda-lime glass  6.9  6.9
fused silica  4.0  3.8
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Answer: (b)
Question: Using the data in the table below, estimate the dielectric constants for polypropylene. Choose the answer from the following four choices: (a) 2.49, (b) 1.23, (c) 2.22, and (d) 2.28.
Material  Index of reflaction
borosillicate glass  1.47
polypropylene  1.49
polyethylene  1.51

Answer: (c)
Question: The fraction of nonreflected radiation that is transmitted through a 10-mm thickness of a transparent material is 0.90. If the thickness is increased to 20 mm, what fraction of light will be transmitted? Choose the answer from the following four choices: (a) 0.80, (b) 0.81, (c) 0.91, and (d) 0.73.
Answer: (b)
Question: The transmissivity T of a transparent material 20 mm thick to normally incident light is 0.85. If the index of refraction of this material is 1.6, calculate the thickness of material (mm) that will yield a transmissivity of 0.75. All reflection losses should be considered. Choose the answer from the following four choices: (a) 43.2, (b) 33.3, (c) 67.2, and (d) 30.6.
Answer: (c)
Question: Calculate the difference in energy (eV) between metastable and ground electron states for the ruby laser. Choose the answer from the following four choices: (a) 0.694, (b) 1.39, (c) 1.78, and (d) 4.48.
Answer: (c)
Question: What was the original length (m) of a wire that has been strained by 30% and whose final length is 1 m? Choose the answer from the following four choices: (a) 0.7, (b) 1.4, (c) 0.77, and (d) 1.3.
Answer: (c)
Question: The initial diameter of a wire is 2 cm and needs to be reduced to 1 cm. Calculate the amount of cold work (reduction in area in percent) which is necessary. Choose the answer from the following four choices: (a) 75, (b) 50, (c) 100, and (d) 150.
Answer: (a)
Question: Calculate the initial diameter of a wire (cm) that has been longitudinally strained by 30% and whose final diameter is 0.1 cm. Assume no volume change. Choose the answer from the following four choices: (a) 0.1195, (b) 0.114, (c) 0.077, and (d) 0.143.
Answer: (b)
Question: How much force (N) is needed to plastically deform a wire of 2 cm diameter whose yield strength is 40 MPa? Choose the answer from the following four choices: (a) 1*10^3, (b) 5.02*10^4, (c) 4*10^6, and (d) 1.26*10^4.
Answer: (d)
Question: Calculate the Poisson ratio for the case where no volume change takes place. Choose the answer from the following four choices: (a) 1, (b) 0, (c) 0.25, and (d) 0.5.
Answer: (d)
Question: Calculate the number of atoms for an HCP unit cell. Choose the answer from the following four choices: (a) 2, (b) 6, (c) 3, and (d) 4.
Answer: (a)
Question: State the slip plane (in form of { }) and the slip direction (in form of < >) in a hypothetical simple cubic lattice. Choose the answer from the following four choices: (a) {100}<110>, (b) {110}<<110>, (c) {110}<100>, and (d) {100}<100>.
Answer: (d)
Question: What is the coordination number, for the CsCl crystal structure? Choose the answer from the following four choices: (a) 6, (b) 14, (c) 12, and (d) 8.
Answer: (d)
Question: Calculate the packing factor for diamond cubic silicon. Choose the answer from the following four choices: (a) 0.52, (b) 0.74, (c) 0.34, and (d) 0.68.
Answer: (c)
Question: Calculate the planar packing fraction in the (111) plane in the FCC structure. Choose the answer from the following four choices: (a) 0.707, (b) 0.907, (c) 0.34, and (d) 0.52.
Answer: (b)
Question: Derive an expression for the distance between two nearest face atoms of the conventional FCC unit cell in terms of the lattice constant a. Choose the answer from the following four choices: (a) √2/2a, (b) a, (c) √3/2a, and (d) 1/2a.
Answer: (a)
Question: Calculate the ratio between the diffusion rates of grain boundary diffusion and volume diffusion assuming an activation energy for grain boundary diffusion to be one-half of that for volume diffusion.
Take T=500°C; Qv=2 eV; (f0)v= 6* 10^15 (1/s) and (f0)g=1.5 10^11 (1/s). Choose the answer from the following four choices: (a) 1.3 x 10^11, (b) 7.5 x 10^-12, (c) 2.6 x 10^10, and (d) 83.

Answer: (d)
Question: Calculate the approximate time (hrs) that is needed for diffusing carbon into steel to a depth of 1 mm when the diffusion coefficient at the temperature of heat treatment is 2*10^-7 cm2/s. Choose the answer from the following four choices: (a) 69.4, (b) 138, (c) 13.8, and (d) 3.47.
Answer: (d)
Question: Carbon atoms can best be interstitially accommodated in FCC γ-iron by occupying the site halfway between two nearest corner atoms. Calculate the size (Å) of this open interstitial site (for carbon radius) by knowing that the radius of a γ-iron atom is 1.29 Å. Now, the radius of a carbon atom is 0.71 Å. Choose the answer from the following four choices: (a) 1.07, (b) 0.534, (c) 0.71, and (d) 0.4.
Answer: (b)
Question: Consider the two types of interstitial sites in BCC 1/2, 0, 1/4 (tetrahedral site) for for α-iron and in the site halfway between two nearest corner atoms in FCC γ- iron, respectively. Which of the two types of interstitial sites (α-iron or γ-iron) is larger? And in which iron, α-iron or γ-iron, the solubility of carbon atoms is higher? Choose the answer from the following four choices: (a) α-iron, α-iron, (b) α-iron, γ-iron, (c) γ-iron, α-iron, and (d) γ-iron, γ-iron.

Answer: (d)
Question: Calculate the electromotive force (V) from a silver half-cell whose electrolyte contains 1 g of Ag+ in 1 dm^3 of water. Choose the answer from the following four choices: (a) 0.68, (b) 0.8, (c) 0.92, and (d) 0.74.
Answer: (a)
Question: 
How much material (in g) is electrochemically removed from a copper electrode when a current of 5 A flows for 0.5 h through an appropriate electrochemical half-cell? Choose the answer from the following four choices: (a) 5.93, (b) 4.74, (c) 2.37, and (d) 2.96.
Answer: (d)
Question: Calculate the number of free electrons per cubic centimeter for sodium from resistance data ( ρ= 4.2 ∙ 10^(-8) Ω/m; relaxation time 3.1 ∙ 10^(-14) s.) Choose the answer from the following four choices: (a) 4.82*10^7, (b) 2.73*10^22, (c) 2.73*10^25, and (d) 4.82*10^10.
Answer: (b)
Question: What current (A) flows through a p–n diode to which a voltage of 0.3 V is applied and a saturation current of 1 μA is assumed at 300 K? Choose the answer from the following four choices: (a) 0.012, (b) 0.11, (c) 9.1 x 10^-6, and (d) 1.0.
Answer: (b)
Question: Calculate the mobility of electrons (m2/V∙s) in a metal when the time between two electron/atom collisions is 2.5 * 10^(-12) s. Choose the answer from the following four choices: (a) 4.4 x 10^-4, (b) 1.4 x 10^7, (c) 4.4, and (d) 0.44.
Answer: (d)
Question: Calculate the Curie constant for a paramagnetic material that was inserted at room temperature (300 K) in a magnetic field of 1.2 x 10^4 A/m and whose magnetic induction was measured to be 0.05 T. Assume that θ=0. Choose the answer from the following four choices: (a) 694, (b) 994, (c) 0.00123, and (d) 90.5.
Answer: (a)
Question: A piece of platinum is inserted into a magnetic field that has a magnetic field strength of 10^3 [Oe]. Calculate the magnetic induction (T) in the material.
(χPt=264.4 x 10^-6 mks units.) Choose the answer from the following four choices: (a) 0.001, (b) 1000, (c) 0.1, and (d) 21.
Answer: (c)
Question: The intensity of Na light passing through a gold film was measured to be about 15% of the incoming light. What is the thickness (nm) of the gold film? ( λ = 589 nm; k =3.2) Choose the answer from the following four choices: (a) 349, (b) 12.1, (c) 27.8, and (d) 152.
Answer: (c)
Question: The plasma frequency, ν1, can be calculated for the alkali metals by assuming one free electron per atom, i.e., by substituting Nf by the number of atoms per unit volume. Calculate ν1 (s^-1) for potassium. Choose the answer from the following four choices: (a) 1.05 x 10^9, (b) 1.05 x 10^12, (c) 1.05 x 10^15, and (d) 1.05 x 10^18.
Answer: (c)
Question: A block of copper whose mass is 100 g is quenched directly from an annealing furnace into a 200-g glass container that holds 500 g of water. What is the temperature of the furnace (K) if the water temperature rises from 0 to 15 ℃? (cglass = 0.5 J/g∙K) Choose the answer from the following four choices: (a) 1127, (b) 869, (c) 1142, and (d) 854.
Answer: (c)
Question: Calculate the rate of heat loss (J/s∙m^2)in a 5-mm-thick window glass when the exterior temperature is 0 ℃ and the room temperature is 20 ℃. Choose the answer from the following four choices: (a) 3.8  x 10^3 , (b) 2.4 x 10^-4, (c) 3.8, and (d) 0.24.
Answer: (a)