Question

A 50 cm long wire has mass of 20 g linearly distributed. This string is under a tension of 16 N. The speed of transverse pulse generated on it is


2 m/s


10 m/s


20 m/s


15 m/s

Answer 1

Answer:

10 m/s I guess

Hope it helps you...

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

A 50 cm long wire has mass of 20 g linearly distributed. This string is under a tension of 16 N. The speed of transverse pulse generated on it is

• 2 m/s

• 10 m/s

• 20 m/s

• 15 m/s

EVALUATION

Here by the given condition

Mass = M = 20 g = 0.02 kg

Length = L = 50 cm = 0.5 m

Tension = T = 16 N

Hence the speed of transverse pulse generated on it

$\displaystyle \sf{ = \sqrt{ \frac{T}{ \frac{M}{L} } } }$

$\displaystyle \sf{ = \sqrt{ \frac{TL}{ M} }}$

$\displaystyle \sf{ = \sqrt{ \frac{16 \times 0.5}{0.02} }}$

$\displaystyle \sf{ = \sqrt{ \frac{8}{0.02} }}$

$\displaystyle \sf{ = \sqrt{ \frac{8 \times 100}{2} }}$

$\displaystyle \sf{ = \sqrt{ 400 }}$

$\displaystyle \sf{ = 20}$

FINAL ANSWER

Hence the correct option is 20 m/s

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