Case study·Hard exam skill (4/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A sonometer wire gives frequency at length under a fixed tension. The same wire is then adjusted under the same tension. Assume frequency is inversely proportional to vibrating length.
Total: 4 marks
(a) Find the frequency if the vibrating length is changed to . (1 mark)
(b) Find the length needed for frequency . (1 mark)
(c) If a fork is sounded with a wire, find the beat frequency. (1 mark)
(d) Explain why increasing the vibrating length lowers the frequency. (1 mark)
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