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A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then speed of a wave on the string is [2001]
  • a)
    77 m/s
  • b)
    102 m/s
  • c)
    110 m/s
  • d)
    165 m/s
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A string of 7 m length has a mass of 0.035 kg. If tension in the strin...
Given : Length (l) = 7 m
Mass (M) = 0.035 kg and tension (T) = 60.5 N.
Therefore, mass of string per unit length (m)
speed of wave
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Most Upvoted Answer
A string of 7 m length has a mass of 0.035 kg. If tension in the strin...
To find the speed of a wave on the string, we can use the formula:

v = √(T/μ)

where:
v is the speed of the wave
T is the tension in the string
μ is the linear mass density of the string

Given:
Length of the string (L) = 7 m
Mass of the string (m) = 0.035 kg
Tension in the string (T) = 60.5 N

First, let's calculate the linear mass density (μ) of the string:

μ = m / L

μ = 0.035 kg / 7 m
μ = 0.005 kg/m

Now, substitute the values of T and μ into the formula to find the speed (v) of the wave:

v = √(60.5 N / 0.005 kg/m)

v = √(12100 m²/s² / kg/m)

v = √(12100 m²/s² * m/kg)

v = √(12100 m³/s²/kg)

v = √(12100 m/s²)

v ≈ 110 m/s

Therefore, the speed of the wave on the string is approximately 110 m/s, which corresponds to option C.
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Community Answer
A string of 7 m length has a mass of 0.035 kg. If tension in the strin...
Actually velocity of wave =under root T/m where m=mass /length so put value under root 60.5/0.035*7=110
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