1.

An open organ pipe of length `l` is sounded together with another open organ pipe of length ` l + x` in their fundamental tones. Speed of sound in air is `v` . The beat frequency heard will be `(x lt lt l)`:A. `( vx)/( 4 l^(2))`B. `(vl^(2))/( 2x)`C. `( v x)/( 2 l^(2))`D. `( v x^(2))/( 2l)`

Answer» Correct Answer - C
Beat frequency `= f_(1) - f_(2) = (v)/(2 l) - (v)/( 2( l + x))`
` = (v)/( 2 l) [ 1 - ( 1 + (x)/(l))^(-1)]`
` = (v)/( 2l) [ 1 - 1 + (x)/(l)]`
`= ( vx)/( 2l^(2))`


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