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What is the reading of the instrument?

Physics

ScanSolve AI Answer

Answer

C

Step-by-step solution

9 steps

Here are the solutions to the problems:

A1: Vernier Caliper Reading

  1. Determine the main scale reading.

    The zero mark of the vernier scale is past 2.3 cm2.3 \text{ cm} but has not reached 2.4 cm2.4 \text{ cm}.
    So, the main scale reading is 2.3 cm2.3 \text{ cm}.

  2. Determine the vernier scale reading.

    Identify the mark on the vernier scale that perfectly aligns with any mark on the main scale. In the diagram, the 8th8^{\text{th}} mark on the vernier scale aligns. Assuming a least count of 0.01 cm0.01 \text{ cm}, the vernier scale reading is 8×0.01 cm=0.08 cm8 \times 0.01 \text{ cm} = 0.08 \text{ cm}.

  3. Calculate the total reading.

    Total reading = Main scale reading + Vernier scale reading

    =2.3 cm+0.08 cm=2.38 cm= 2.3 \text{ cm} + 0.08 \text{ cm} = 2.38 \text{ cm}

    The correct option is C.

    C\boxed{\text{C}}

    A2: Distance from Speed-Time Graph

  4. Calculate the distance covered when speed is increasing.

    Speed is increasing from t=0 st=0 \text{ s} to t=20 st=20 \text{ s}. This forms a triangle on the graph.
    The base of the triangle is 20 s20 \text{ s} and the height is 10 m/s10 \text{ m/s}.
    Distance (increasing) = Area of triangle = 12×base×height\frac{1}{2} \times \text{base} \times \text{height}

    =12×20 s×10 m/s=100 m= \frac{1}{2} \times 20 \text{ s} \times 10 \text{ m/s} = 100 \text{ m}
  5. Calculate the distance covered when speed is decreasing.

    Speed is decreasing from t=40 st=40 \text{ s} to t=50 st=50 \text{ s}. This forms another triangle.
    The base of the triangle is (50−40) s=10 s(50 - 40) \text{ s} = 10 \text{ s} and the height is 10 m/s10 \text{ m/s}.
    Distance (decreasing) = Area of triangle = 12×base×height\frac{1}{2} \times \text{base} \times \text{height}

    =12×10 s×10 m/s=50 m= \frac{1}{2} \times 10 \text{ s} \times 10 \text{ m/s} = 50 \text{ m}
  6. Calculate the total distance.

    Total distance = Distance (increasing) + Distance (decreasing)

    =100 m+50 m=150 m= 100 \text{ m} + 50 \text{ m} = 150 \text{ m}

    The correct option is B.

    B\boxed{\text{B}}

    A3: Distance during Retardation

  7. Identify the given values.

    Initial velocity, u=9 m/su = 9 \text{ m/s}
    Final velocity, v=5 m/sv = 5 \text{ m/s}
    Time, t=10 st = 10 \text{ s}

  8. Use the appropriate kinematic equation to find the distance.

    For constant acceleration (or retardation), the distance ss can be found using the formula:

    s=(u+v)2ts = \frac{(u+v)}{2}t
  9. Substitute the values and calculate the distance.

    s=(9 m/s+5 m/s)2×10 ss = \frac{(9 \text{ m/s} + 5 \text{ m/s})}{2} \times 10 \text{ s} s=14 m/s2×10 ss = \frac{14 \text{ m/s}}{2} \times 10 \text{ s} s=7 m/s×10 ss = 7 \text{ m/s} \times 10 \text{ s} s=70 ms = 70 \text{ m}

    The correct option is C.

    C\boxed{\text{C}}
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