Question

Two metal rulers of lengths 30 cm and 60 cm are kept in such a manner that a 30 cm ruler extends about 15 cm over the edge of a table and a 60 cm ruler extends about 30 cm over the edge of same table. Both the free ends are flicked.
Read the given statements and select the correct option.

Statement 1: The note heard in the vibration of 30 cm ruler is louder when flicked with larger amplitude.
Statement 2: Loudness of a sound depends on the amplitude of vibrations.

• A. Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
• B. Statement 1 is false but statement 2 is true.
• C. Statement 1 is true but statement 2 is false.
• D. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.

Answer 1

The correct option is D Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.

If a body is displaced more, the vibration of that body will have more amplitude, hence, the sound produced by it will be louder.

Statement 1 is true as the 30 cm ruler is flicked with larger amplitude than that of 60 cm ruler.
Statement 2 is the correct explanation of statement 2 as it tells that the loudness of a sound increases/changes with the increase/change in amplitude.