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Lena [83]
3 years ago
11

A string is stretched to a length of 339 cm and both ends are fixed. If the density of the string is 0.0073 g/cm, and its tensio

n is 859 N, what is the fundamental frequency?
Physics
1 answer:
sashaice [31]3 years ago
7 0

Answer:

160 Hz.

Explanation:

For nth harmonic, the fundamental frequency,

f_n=\frac{n}{2L}\sqrt{\frac{T}{\mu} }

Here T is the tension in string, \mu is the mass/unit of length of the string and L is the string length.

Given n = 1  frequency of the 1st harmonic (the Fundamental), T = 859 N,

L= 339 cm =3.39 m and \mu=0.0073 g/cm =0.00073 kg /m.

Substituting these values, we get

f_1=\frac{1}{2\times3.39m} \sqrt{\frac{859N}{0.00073\ kg/m } }

f_1= 0.147 \times1084.76=159.99 Hz

f_1=160 Hz

Thus, the fundamental frequency is 160 Hz.

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Explanation:

The given data is as follows.

          Mass, m = 75 g

         Velocity, v = 600 m/s

As no external force is acting on the system in the horizontal line of motion. So, the equation will be as follows.

          m_{1}v_{1_{i}} = (m_{1} + m_{2})vi

where,  m_{1} = mass of the projectile

            m_{2} = mass of block

              v = velocity after the impact

Now, putting the given values into the above formula as follows.

              m_{1}v_{1_{i}} = (m_{1} + m_{2})vi

         75(10^{-3}) \times 600 = [(75 \times 10^{-3}) + 50] \times v

                                  = \frac{45}{50.075}

                              v = 0.898 m/s

Now, equation for energy is as follows.

               E = \frac{1}{2}mv^{2}

                  = \frac{1}{2} \times (75 \times 10^{-3} + 50) \times (600)^{2}

                  = 13500 J

Now, energy after the impact will be as follows.

             E' = \frac{1}{2}[75 \times 10^{-3} + 50](0.9)^{2}

                 = 20.19 J

Therefore, energy lost will be calculated as follows.

           \Delta E = E  E'

                       = (13500 - 20) J

                       = 13480 J

And,   n = \frac{\Delta E}{E}

             = \frac{13480}{13500} \times 100

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Thus, we can conclude that percentage n of the original system energy E is 99.9%.

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3 years ago
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Answer:

Explanation:

Threshold frequency = 4.17 x 10¹⁴ Hz .

minimum energy required = hν where h is plank's constant and ν is frequency .

E = 6.6 x 10⁻³⁴ x 4.17 x 10¹⁴

= 27.52 x 10⁻²⁰ J .

wavelength of radiation falling = 245 x 10⁻⁹ m

Energy of this radiation = hc / λ

c is velocity of light and  λ  is wavelength of radiation .

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Answer:

h=18.05 cm

Explanation:

Given that

m= 25 kg

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x=26.4 cm

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We know that

V_f^2=V_i^2-2gh

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