A body is suspended from a string of length $1 m$ and mass $2 g$ . The mass of the body to produce a fundamental mode of $100 Hz$ frequency in the string is
(Acceleration due to gravity $= 10 m s^{- 2}$ )

Question

A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity =10 m s^(-2))

MARKS Content Team · Accepted Answer

Correct answer: (D) 8 kg. Mass per unit length of the given string is μ=m/l=(2×10^(-3))/1=2×10^(-3) kg m^(-1) Speed of transverse waves on a string is given by, v=√(Tμ)=√(mgμ) Fundamental frequency on a string fixed at both ends is given by, f_0=v/2l=√(mgμ)2l⇒m=(4l^2f0^2μ)/g=(4×1×10^4×2×10^(-3))/10=8 kg

A body is suspended from a string of length $1 m$ and mass $2 g$ . The mass of the body to produce a fundamental mode of $100 Hz$ frequency in the string is
(Acceleration due to gravity $= 10 m s^{- 2}$ )

Solution

Relevant Questions

A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is(Acceleration due to gravity =10 m s-2)

Solution

Relevant Questions

A body is suspended from a string of length $1 m$ and mass $2 g$ . The mass of the body to produce a fundamental mode of $100 Hz$ frequency in the string is
(Acceleration due to gravity $= 10 m s^{- 2}$ )