A metallic wire of 1 m length has a mass of 10 - 10-2 kg- If a tension of 100 N is applied to a wire- what is the speed of transverse wave-

The correct option is A 31.6 ms^ 1 Given : #160; m = 0.1 kg #160; #160; #160; T =100 N #160; #160; #160; #160; L ...

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Standard XII

Physics

Phase Difference

A metallic wi...

Question

A metallic wire of 1 m length has a mass of $10 \times 10^{- 2}$ kg. If a tension of 100 N is applied to a wire, what is the speed of transverse wave?

31.6

m s^{- 1}

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m s^{- 1}

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200

m s^{- 1}

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0.1

m s^{- 1}

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Solution

The correct option is A 31.6 $m s^{- 1}$
Given : $m = 0.1$ kg $T = 100$ N $L = 1$ m
Mass per unit length of wire $μ = \frac{m}{L} = \frac{0.1}{1} = 0.1$ $k g / m$
Speed of transverse wave $v = \sqrt{\frac{T}{μ}}$
$∴$ $v = \sqrt{\frac{100}{0.1}} = 31.6$ $m / s$

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A metallic wire of 1 m length has a mass of 10×10−2 kg. If a tension of 100 N is applied to a wire, what is the speed of transverse wave?

The correct option is A 31.6 ms−1Given : m=0.1 kg T=100 N L=1 mMass per unit length of wire μ=mL=0.11=0.1 kg/mSpeed of transverse wave v=√Tμ∴ v=√1000.1=31.6 m/s

A metallic wire of 1 m length has a mass of $10 \times 10^{- 2}$ kg. If a tension of 100 N is applied to a wire, what is the speed of transverse wave?

The correct option is A 31.6 $m s^{- 1}$
Given : $m = 0.1$ kg $T = 100$ N $L = 1$ m
Mass per unit length of wire $μ = \frac{m}{L} = \frac{0.1}{1} = 0.1$ $k g / m$
Speed of transverse wave $v = \sqrt{\frac{T}{μ}}$
$∴$ $v = \sqrt{\frac{100}{0.1}} = 31.6$ $m / s$