Question

Which of the following measurements has the highest index of correction?

• A. Measurement of speed of sound using resonance tube
• B. Measurement of resistance of a wire using meter bridge
• C. Measurement of gravitational acceleration using simple pendulum
• D. Measurement of focal length of lenses using optical bench

Hint:

Experiments involving oscillations usually require more corrections because several external factors influence the result.

Answer 1

The Correct Option is C

Step 1: Understand index of correction.
The index of correction reflects how many systematic and environmental corrections an experiment needs. More such factors means a higher index.
Step 2: Check the resonance tube.
The speed-of-sound experiment mainly needs an end correction and a temperature correction, so the corrections are limited.
Step 3: Check the meter bridge.
Measuring resistance here mostly involves balancing lengths; the required corrections are comparatively small.
Step 4: Check the optical bench.
Finding focal length needs alignment and reading corrections, which are still fewer than the pendulum case.
Step 5: Check the simple pendulum.
The pendulum needs corrections for effective length, air resistance, finite amplitude, damping, and buoyancy, making the list the longest.
Step 6: Conclude.
The simple pendulum experiment carries the highest index of correction, which is option C.
\[ \boxed{\text{Measurement of gravitational acceleration using simple pendulum}} \]