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Waves

Question

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There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

100 Hz

99 Hz

96 Hz

103 Hz

Solution

99 Hz

Each tuning forck gives 3 beats with the next, so the difference in the frequencies of two consecutive forks is 3.

$f_{26} = f_{1} + (n - 1) \times (- 3) f = 2 f + (26 - 1) \times (- 3) f = 75 Hz ∴ Frequency of the 18 th tunning fork f_{18} = f_{1} + (18 - 1) \times (- 3) = 2 \times 75 + 17 \times (- 3) f = 150 - 51 = 99 Hz$

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Waves

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

100 Hz

99 Hz

96 Hz

103 Hz

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For Daily Free Study Material Join wiredfaculty

Waves

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork? 100 Hz 99 Hz 96 Hz 103 Hz

Some More Questions From Waves Chapter

The sound waves after being converted into electrical waves are not transmitted as such because

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

There are 26 tuning forks arranged in the decreasing order of their frequencies. Each tuning fork gives 3 beats with the next. The first one is octave of the last. What is the frequency of 18th tuning fork?

100 Hz

99 Hz

96 Hz

103 Hz