Solid State Objective Question

1.   The properties of amorphous solid are.

1. different in  different directions
2. same in all directions
3. are changed with its sturucture
4. none of these

2. The amporphous solids have.

1. definite geometry
2. no definite geometry
3. both definite and random geometry
4. none of these

3. The values of Young modulus of Cu are 66.7 GPa , 130.3 GPa and 191.1  GPa in different directions of the structure of Cu. This shows the property of.

1. Isotropy
2. Anisotropy
3. Allotropy
4. None of these

4. If a molecule of a solid is rotated through an angle of 180° then initial and final structure are Indistinguishable. This solid may be.

1. Amorphous
2. Crystalline
3. Both
4. 50% amorphous and 50 % crystalline

5. Unit Cell is defined as.

1. The smallest part of the crystal.
2. The smallest part of the crystal having all the properties of the crystal.
3. The smallest part of the crystal having few properties of the crystal.
4. The smallest part of the crystal but have at least one common property of crystal.

6. The unit cell parameters are. 

1. lengths a, b and c
2. angle α , β and γ
3. lengths a, b , c and angles α , β and γ
4. lengths a, b and c and any one angle

7. If in the unit cell points are present in corners and on the centre of each face then it is called.

1. Simple cubic lattice
2. BCC
3. FCC
4. End centred cubic lattice

8. If dimension of the unit cell are  a ≠ b ≠ c and α = β = γ = 90° the system is.

1. Orthorhombic
2. Triclinic
3. Hexagonal
4. Monoclinic

9.   If dimension of the unit cell are  a ≠ b ≠ c and α ≠  β ≠  γ ≠  90° the system is.

1. Orthorhombic
2. Triclinic
3. Hexagonal
4. Monoclinic

10.  Interfacial angle is defined as.

1. The angle between lines drawn normal to any two nearby  faces of a crystal.
2. The angle between any two lines of any two faces
3. The angle between x and y axis of the crystal
4. none of these

11. The interfacial angle of a substance is always same, provided their chemical composition is same. This is called.

1. Steno’s Law  of Constancy of Interfacial Angles
2. Law of Rational of Indices.
3. Law of Miller indices
4. None of these

12. The intercepts that any face makes on the crystallographic axes are either infinite  or small rational multiples of the intercepts made by the unit form. This is called.

1. Steno’s Law  of Constancy of Interfacial Angles
2. Law of Rational of Indices.
3. Law of Miller indices
4. None of these

13. The planes in a crystalline solid intersects the crystal axes at (2a,b,c). The miller indices of these planes are.

1. 120
2. 121
3. 122
4. 211

14. The planes in a crystalline solid intersects the crystal axes at (a,b,∞). The miller indices of these planes are.

1. 110
2. 101
3. 111
4. 211

15. The planes in a crystalline solid intersects the crystal axes at (3a,2b,∞). The miller indices of these planes are.

1. 320
2. 230
3. 32∞
4. ⅓  ½  1/∞

16. The planes in a crystalline solid intersects the crystal axes at (-a, b, ∞). The miller indices of these planes are.

1. 110
2. -11∞
3. 001
4. 1̅10

17. The planes in a crystalline solid intersects the crystal axes at (3a,2b,c). The miller indices of these planes are.

1. 326
2. 236
3. 321
4. ⅓  ½  1/1

18. Water molecule has.

1. Two-fold axis of symmetry
2. Three-fold axis of symmetry
3. Four-fold axis of symmetry
4. One-fold axis of symmetry

19. Water molecule has.

1. One vertical plane of symmetry
2. Two vertical planes of symmetry
3. Three vertical planes of symmetry
4. Four vertical planes of symmetry

20. For simple cubic lattice the interplanar spacing ratio is.

1. d₁₀₀ : d₁₁₀ : d₁₁₁ = 1: 1/√2  : 1/√3  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ = 1/2: 1/2√2  : 1/√3  
3. d₂₀₀ : d₁₁₀ : d₂₂₂ = 1/2: 1/√2  : 1/2√3  
4. none of these

21. For face centred cubic lattice the interplanar spacing ratio is. 

1. d₁₀₀ : d₁₁₀ : d₁₁₁ = 1: 1/√2  : 1/√3  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ = 1/2: 1/2√2  : 1/√3  
3. d₂₀₀ : d₁₁₀ : d₂₂₂ = 1/2: 1/√2  : 1/2√3  
4. none of these

22.  For body centred cubic lattice the inter-planar spacing ratio is.

1. d₁₀₀ : d₁₁₀ : d₁₁₁ = 1: 1/√2  : 1/√3  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ = 1/2: 1/2√2  : 1/√3  
3. d₂₀₀ : d₁₁₀ : d₂₂₂ = 1/2: 1/√2  : 1/2√3  
4. none of these

23.  For simple cubic lattice the interplanar spacing ratio is.

1. d₁₀₀ : d₁₁₀ : d₁₁₁ =  1  : 0.707 :   0.577  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ =  1 :  0.577 :   0.707 
3. d₂₀₀ : d₁₁₀ : d₂₂₂ =   1 :  1.414  :  0.577 
4. none of these

24.  For face centred cubic lattice the interplanar spacing ratio is.

1. d₁₀₀ : d₁₁₀ : d₁₁₁ =  1  : 0.707 :   0.577  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ =  1: 0.707 : 1.154
3. d₂₀₀ : d₁₁₀ : d₂₂₂ =   1 :  1.414  :  0.577 
4. none of these

25.  For body centred cubic lattice the interplanar spacing ratio is.

1. d₁₀₀ : d₁₁₀ : d₁₁₁ =  1  : 0.707 :  0.577  
2. d₂₀₀ : d₂₂₀ : d₁₁₁ =  1: 0.707 :   1.154
3. d₂₀₀ : d₁₁₀ : d₂₂₂ =   1 : 1.414 : 0.577
4. none of these

26. The correct form of Bragg’s equation is.

1. d_hkl = n λ / 2 sin θ  
2. d_hkl =  λ / 2 sin θ  
3. d_hkl = n λ / 2d_hkl sin θ  
4. dhkl = n λhkl / 2 sin θ  

27. On the basis of X-ray diffraction the structure of KCl is.

1. FCC
2. BCC
3. Simple cubic
4. End centred cubic 

27. The difference in structure of NaCl and KCl on the basis of X-rays diffraction  is due to.

1. Same and different scattering power of e^– Na⁺ , K⁺ and Cl^– 
2. Different number of neutrons in these compounds
3. Different number of protons in these compounds
4. Different densities of these compounds

28. The angle of first order reflection for all three planes of NaCl are 5.9⁰ , 8.4⁰ and 5.2⁰ . What is the crystal structure?

1. FCC
2. BCC
3. Primitive
4. none of these

29. The angle of first order reflection for all three planes of NaCl are 5.9⁰ , 8.4⁰ and 5.2⁰ . The ratio d100: d110 : d111  is.

1. 1  : 0.705 :   0.577  
2. 1:  0.705 : 1.14
3. 1 :  1.41  :  0.705 
4. 1 : 0.705  : 1.41

30. In BCC lattice the first order reflection by X-ray( λ = 0.154 nm) was observed at 16°6ˈ. The value of D will be.

1. 0. 28 nm
2. 0.56 nm
3. 0.14 nm
4. none of these

31. In BCC lattice the first order reflection by X-ray( λ = 0.154 nm) was observed at 20°. The value of D will be.

1. 0. 280 nm
2. 0.450 nm
3. 0.140 nm
4. 0.225 nm

32. What will be the value of  edge length (a) of the unit cell if d₂₀₀ is 280 pm?

1. 280 pm
2. 560 pm
3. 140 pm
4. none of these

33. What will be the interplanar spacing for d₁₁₁ plane?

1. a / √3
2. a / √2
3. a / 3
4. none of these

34.  Calculate the Miller indices for the plane  2a / 3 :  2b : 1c / 3.

1. (316)
2. (261)
3. (223)
4. none of these

35 . KCl has simple cubic structure with (100) plane  having spacing 0.3152 nm. At what angle would second order reflection from 100 plane be observed  if X-rays of wave length 0.1537 nm are used?

1. 29.18°
2. 48.36°
3. 14.50°
4. none of these 

36. Calculate inter planar spacing that corresponds to θ = 20° by X-rays of wavelength 0.141 nm. Assume n =1. 

1. 0.206 nm
2. 0.153 nm
3. 0.103 nm
4. 0.412 nm

37 . KCl has simple cubic structure with (100) plane  having spacing 0.3152 nm. At what angle would first order reflection from 100 plane be observed  if X-rays of wave length 0.1537 nm are used?

1. 14° 7ˈ
2. 28°14ˈ
3. 7°
4. none of these 

38. Calculate inter planar spacing that corresponds to θ = 27.4° by X-rays of wavelength 0.141 nm. Assume n =1. 

1. 0.206 nm
2. 0.153 nm
3. 0.103 nm
4. 0.412 nm

39. Calculate inter planar spacing that corresponds to θ = 35.8° by X-rays of wavelength 0.141 nm. Assume n =1.

1. 0.206 nm
2. 0.153 nm
3. 0.103 nm
4. 0.121 nm

40.  The silver forms fcc lattice with edge length 408.6 pm. What will be density of Ag[Atomic weight of Ag = 107.9 g/mol]

1. 1.05 g cm^-3
2. 10.5 g cm^-3
3. 2.625 g cm^-3
4. 26.25 g cm^-3

41. X-ray diffraction studies show that copper has edge of 3.608×10^-8 cm and its  density is 8.92 g/cm³,       the number of atoms per unit cell of Cu will be [ At.Wt. of Cu = 63.1 g/mol]

1. 1
2. 2
3. 3
4. 4

42.  An element with molar mass 27 g mol^-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7g cm^-3, what is the nature of the cubic unit cell?

1. Primitive
2. fcc
3. bcc
4. none