Question

Two tuning forks produce sounds of wavelength 1 and 1.5 m respectively in the air medium. the ratio of their frequencies is 1) 2:3 2) 1:2 3) 2:1 4) 3:2

Answer 1

v1= frequency1 ×wavelength1--------1
v2=frequency2×wavelength2--------2
1÷2
v1/v2=f1/f2×w1/w2
v in air is 340m/s
340/340=f1/f2×1/1.5
1=1/1.5×f1/f2
1.5/1=f1/f2
3/2=f1/f2
f1:f2=3:2
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Answer 2

Given - Wavelengths

Find - Frequency

Solution - Frequency and wavelength are inversely proportional to each other.

Representing this in equation form -

w1/w2 = f2/f1

Keep the values in formula to find the ratio of frequencies.

f2/f1 = 1/1.5

Performing division

f2/f1 = 2/3

Ratio of frequencies f1/f2 = 3:2

Hence, the correct option is 4) 3:2.