Problem
Problem
A, B and C are three tuning forks. Frequency of A is 350 Hz. Beats produced by A and B are 5/s and by B and C are 4/s. When a wax is put on A beat frequency between A and B is 2 Hz and between A and C is 6 Hz. Then, frequency of B and C respectively, are a. 355 Hz, 349 Hz b. 345 Hz, 341 Hz c. 355 Hz, 341 Hz d. 345 Hz, 349 HzIntuitive explanation
The key insight is that beat frequency tells you the absolute difference between two frequencies, and adding wax to a tuning fork lowers its frequency. You need to set up equations using and , then use the second condition (after wax lowers ) to figure out which differences are additions versus subtractions. This determines whether B and C are above or below A's original frequency, pinning down their exact values.
Intuitive explanation
The key insight is that beat frequency tells you the absolute difference between two frequencies, and adding wax to a tuning fork lowers its frequency. You need to set up equations using and , then use the second condition (after wax lowers ) to figure out which differences are additions versus subtractions. This determines whether B and C are above or below A's original frequency, pinning down their exact values.