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Federal (FBISE) · Half book test (board pattern) · Free

1st Year Physics First half Book Paper

80 marks · 3 hours (Section A: 1 hour 40 minutes) · 98 questions. Covers: 7 chapters (01. Physical Quantities & Measurement to 07. Deformation of Solids).

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1st Year Physics First half Book Paper

1st Year · Physics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 80Time: 3 hours (Section A: 1 hour 40 minutes)

Q1. Multiple choice questions (Attempt all · 80 × 0.5 = 40)

  1. Dimension of universal gravitational constant is.
    1. [M⁻²L³T⁻²]
    2. [M³L⁻¹T⁻²]
    3. [M⁻¹L³T⁻²]
    4. [M⁻³L³T⁻²]
  2. The odd force from the following is
    1. gravitational force
    2. elastic force
    3. frictional force
    4. electric force
  3. The equation of continuity is based on the law of:
    1. Conservation of momentum
    2. Conservation of mass
    3. Conservation of energy
    4. Conservation of velocity
  4. If size (length) of the wings of a fan is increased, its rotational speed, for the same voltage and current, will
    1. increase
    2. decrease
    3. may increase or decrease
    4. remain constant
  5. What is the force experienced by a projectile after the initial force that launched it into the air in the absence of air resistance?
    1. The gravitational force
    2. The nuclear force
    3. The contact force
    4. The electromagnetic force
  6. Work done from force-extension graph is equal to
    1. slope of graph
    2. perimeter of graph
    3. area under graph
    4. maximum height
  7. Vector product of two parallel vectors is:
    1. AB
    2. AB sin 90°
    3. Zero
    4. Undefined
  8. The diameter of the Earth is approximately:
    1. 10⁹ m
    2. 10⁷ m
    3. 10¹² m
    4. 10⁴ m
  9. Negative work occurs when:
    1. Force is perpendicular to displacement
    2. Force is in same direction as displacement
    3. Force is opposite to displacement
    4. Force is zero
  10. In streamline flow, the velocity of particles at a point is:
    1. Always different
    2. Zero
    3. Same
    4. Infinite
  11. Angular momentum for a rigid body is:
    1. L = Iω
    2. L = Iα
    3. L = mω
    4. L = mv²
  12. A body starting from rest means:
    1. vᵢ = 0
    2. v𝒻 = 0
    3. a = 0
    4. t = 0
  13. Polycrystalline solids consist of
    1. one large crystal
    2. many small crystals with random orientation
    3. fluid layers
    4. only amorphous particles
  14. A physical quantity that has both magnitude and direction is called:
    1. Scalar
    2. Vector
    3. Constant
    4. Unit quantity
  15. Which of the following is a dimensional variable?
    1. Angle
    2. Strain
    3. Length
    4. Coefficient of friction
  16. SI unit of work is:
    1. Watt
    2. Joule
    3. Newton
    4. Pascal
  17. If density remains constant for steady flow, then ρ₁ = ρ₂ and continuity becomes:
    1. A₁ + v₁ = A₂ + v₂
    2. A₁/A₂ = v₁/v₂
    3. A₁v₁ = A₂v₂
    4. A₁v₁² = A₂v₂²
  18. The term mr² represents:
    1. Torque
    2. Angular momentum
    3. Moment of inertia
    4. Linear inertia
  19. The horizontal velocity of a projectile is:
    1. Constant
    2. Increasing
    3. Decreasing
    4. Zero
  20. Crystalline solids have
    1. sharp melting point
    2. broad melting range
    3. no melting point
    4. variable melting behaviour
  21. Scalar product of antiparallel vectors is:
    1. Negative
    2. Positive
    3. Zero
    4. Undefined
  22. The mean diameter of a wire is found to be (0.50±0.02) mm. The percentage uncertainty in the diameter is.
    1. 0.02
    2. 0.04
    3. 0.06
    4. 0.08
  23. Which of the following is a conservative field?
    1. Frictional field
    2. Gravitational field
    3. Viscous field
    4. Air resistance field
  24. The Venturi meter works on which principle?
    1. Conservation of mass
    2. Bernoulli's principle
    3. Archimedes' principle
    4. Pascal's law
  25. 1 radian is equal to:
    1. 90°
    2. 180°
    3. 57.3°
    4. 360°
  26. During an explosion, the total momentum before explosion is:
    1. Maximum
    2. Equal to final
    3. Zero
    4. Cannot be determined
  27. Body-centred cubic (BCC) unit cell contains atoms at
    1. only corners
    2. only centre
    3. corners and centre
    4. face centres
  28. The cross product of two vectors A and B is equal to:
    1. AB cos θ
    2. AB sin θ n̂
    3. A/B
    4. 0 always
  29. Dimensional analysis cannot be used to derive formulas involving:
    1. Logarithms
    2. Velocity
    3. Acceleration
    4. Force
  30. Work done around a closed path in a conservative field is:
    1. Positive
    2. Negative
    3. Zero
    4. Infinite
  31. In a paratrooper's jump, the parachute slows him down because:
    1. Weight increases
    2. Drag force increases
    3. Gravity decreases
    4. Air becomes denser
  32. On a frictionless banked road, centripetal force is provided by:
    1. Friction
    2. Weight
    3. Normal force
    4. Air resistance
  33. A light object hitting a heavy object at rest usually:
    1. Stops moving
    2. Rebounds with the same speed
    3. Moves faster
    4. Breaks apart
  34. Crystalline solids have particles arranged in a
    1. random pattern
    2. fluid-like arrangement
    3. irregular arrangement
    4. regular
  35. If a vector A makes angle θ with the horizontal, its x-component Ax is:
    1. A sin θ
    2. A tan θ
    3. A cos θ
    4. A/ sin θ
  36. The difference between true value and observed value is called:
    1. Uncertainty
    2. Precision
    3. Error
    4. Accuracy
  37. Work is positive when the angle between force and displacement is:
    1. 0° to 90°
    2. 90° to 180°
    3. 180° to 270°
    4. 270° to 360°
  38. Which assumption belongs to an ideal fluid?
    1. Flow is turbulent
    2. Flow is rotational
    3. Internal friction exists
    4. Flow is laminar
  39. Centripetal acceleration direction is always:
    1. Tangential to the circle
    2. Away from center
    3. Toward the center
    4. Downward
  40. Two equal masses colliding elastically exchange:
    1. Directions only
    2. Velocities
    3. Accelerations
    4. Energies
  41. Elastic modulus is defined as:
    1. Stress × strain
    2. Stress ÷ strain
    3. Strain ÷ stress
    4. Force ÷ area
  42. The y-component of a vector making angle θ is:
    1. A sin θ
    2. A cos θ
    3. A tan θ
    4. A cot θ
  43. Accuracy refers to how closely:
    1. Measurements agree with each other
    2. A measurement matches a true value
    3. Values repeat
    4. The least count is large
  44. Which of the following is an example of a non-conservative force?
    1. Electric force
    2. Gravitational force
    3. Frictional force
    4. Magnetic force
  45. For an ideal fluid, the relation of continuity is:
    1. AV = 0
    2. A/V = constant
    3. A × v = constant
    4. v/A = constant
  46. Radial (centripetal) acceleration is:
    1. ar = v²/r
    2. ar = r²ω
    3. ar = rω²
    4. Both a and c
  47. Direction of velocity at any instant is given by:
    1. θ = tan(vᵧ/vₓ)
    2. θ = tan⁻¹(vᵧ/vₓ)
    3. θ = sin⁻¹(vᵧvₓ)
    4. θ = 1/vᵧ
  48. Point A on the stress-strain curve represents:
    1. Elastic limit
    2. Ultimate stress
    3. Breaking point
    4. Proportional limit
  49. The magnitude of the cross product gives:
    1. Area of triangle
    2. Area of parallelogram
    3. Volume
    4. Length only
  50. Newton can be expressed in base units as:
    1. kg m² s⁻²
    2. kg m s⁻²
    3. N m⁻²
    4. A s
  51. According to the work-energy theorem, work done on an object equals:
    1. Change in mass
    2. Change in energy
    3. Change in time
    4. Change in pressure
  52. The equation A₁v₁ = A₂v₂ applies to:
    1. Static fluids
    2. Ideal incompressible fluids
    3. Viscous fluids
    4. Gases only
  53. In artificial gravity, the centripetal acceleration formula is:
    1. ac = vR
    2. ac = v²/R
    3. ac = R/v²
    4. ac = g/v
  54. In an inelastic collision, kinetic energy is:
    1. Conserved
    2. Not conserved
    3. Doubled
    4. Always zero
  55. The highest stress a material can withstand is called:
    1. Breaking stress
    2. Yield stress
    3. Ultimate tensile strength
    4. Shear stress
  56. The direction of a vector is found using:
    1. cos θ = Ax/A
    2. tan θ = Ay/Ax
    3. sin θ = Ax/A
    4. tan θ = Ax/Ay
  57. The time period of a pendulum is dimensionally proportional to:
    1. √(l/g)
    2. g/l
    3. l²/g
    4. g²/l
  58. Variable force produces which shape on Force-Displacement graph?
    1. Square
    2. Triangle
    3. Rectangle
    4. Horizontal line
  59. A liquid flows through a pipe with a diameter of 10 cm at a velocity of 9 cm/s. If the diameter of the pipe then decreases to 6 cm, the new velocity of the liquid will be:
    1. 15 cm/s
    2. 21 cm/s
    3. 12 cm/s
    4. 25 cm/s
  60. The time rate of change of angular velocity is called:
    1. Angular displacement
    2. Angular motion
    3. Angular acceleration
    4. Angular speed
  61. The formula for maximum height of a projectile is:
    1. H = vᵢ² cos²θ / g
    2. H = vᵢ sinθ t
    3. H = vᵢ² sinθ / g
    4. H = vᵢ² sin²θ / 2g
  62. Young's modulus relates:
    1. Tensile stress and tensile strain
    2. Shear stress and shear strain
    3. Volume stress and volume strain
    4. Hardness and brittleness
  63. Vector product of two vectors is:
    1. Always scalar
    2. Always vector
    3. Sometimes scalar
    4. Unitless
  64. Accuracy is indicated by:
    1. Least count
    2. Absolute uncertainty only
    3. Fractional or percentage uncertainty
    4. Repeated measurements
  65. The Work-Energy Theorem states:
    1. W = Fd
    2. W = ΔK.E
    3. W = K.Ei + K.Ef
    4. W = F/v
  66. Superfluidity is observed mainly in:
    1. Helium gas at room temperature
    2. Liquid helium at very low temperatures
    3. Water below 0°C
    4. Any liquid under pressure
  67. Torque is equal to:
    1. r × v
    2. r × p
    3. r × F
    4. m × a
  68. The horizontal range of a projectile is:
    1. R = vᵢt
    2. R = vᵢ² sin2θ / g
    3. R = 2vᵢ² / sinθ
    4. R = vᵢ² sin²θ / g
  69. The point at which permanent deformation begins is:
    1. Proportional limit
    2. Elastic limit
    3. Yield point
    4. Breaking point
  70. The component of a vector along the x-axis is called:
    1. Vertical component
    2. Projection component
    3. Resultant
    4. Horizontal component
  71. A person weighs exactly 160.0 pounds. Scale C reads 159.9, 160.0 and 160.1. This scale is:
    1. Precise only
    2. Accurate only
    3. Neither accurate nor precise
    4. Both precise and accurate
  72. If the unit of force and displacement travelled each be increased five times, then the unit of work will be increased by.
    1. 25 times
    2. 10 times
    3. 5 times
    4. 0 times
  73. Bernoulli's equation relates pressure, velocity, and:
    1. Density
    2. Potential energy per unit volume
    3. Temperature
    4. Volume
  74. Tangential velocity in circular motion is given by:
    1. v = rα
    2. v = rθ
    3. v = rω
    4. v = ω²r
  75. According to the law of conservation of momentum:
    1. Total momentum before = total momentum after
    2. Total force before = total force after
    3. Total velocity before = total velocity after
    4. Energy remains constant
  76. Which of the following properties is generally exhibited by amorphous solids?
    1. anisotropy
    2. glass transition
    3. orderliness
    4. geometry
  77. When the product of two vectors gives a scalar quantity, it is called:
    1. Scalar product
    2. Cross product
    3. Vector product
    4. Trigonometric product
  78. Which type of error is caused by faulty apparatus?
    1. Personal error
    2. Random error
    3. Systematic error
    4. Zero error only
  79. In the equation W = F d cosθ, θ is the angle between:
    1. Displacement and velocity
    2. Force and mass
    3. Force and displacement
    4. Force and time
  80. Lift force on aerofoil acts:
    1. Downward
    2. Upward
    3. Sideways
    4. Backward

Q2. Short questions (Attempt all. Each question has an OR choice · 7 × 4 = 28)

  1. Why is the initial momentum zero during an explosion?

    OR

    What is the direction of A × B?
  2. Why does a wire extend when load is applied?

    OR

    What is meant by irrotational flow?
  3. What are two ways weightlessness can be achieved?

    OR

    Write the formula for work done by constant force.
  4. How do you find uncertainty in a timing experiment?

    OR

    What is meant by an isolated system?
  5. Write the formula for the scalar product A * B.

    OR

    State the number of atoms in BCC unit cell.
  6. Write the general form of continuity equation using density ρ.

    OR

    Write the relation between linear and angular velocity.
  7. State the relation for kinetic energy of a moving object.

    OR

    Define precision in measurements.

Q3. Long questions (Attempt all. Each question has an OR choice · 2 × 6 = 12)

  1. Define and explain the unit cell and its types. Also define crystal lattice.

    OR

    Define the law of conservation of momentum. Explain how conservation of momentum applies to a handball bouncing of a wall.
  2. Determine the dimensions of each of the following quantities. (a) (b)

    OR

    Explain the concept of kinetic energy in detail. Derive the formula K.E = ½mv².