In what way are liquids different from solids?.

Which statement correctly explains molecular motion in different states of matter using the kinetic theory?

Gelneren [198K]

the answer is the second one

8 0

3 years ago

Two strings on a musical instrument are tuned to play at 196 hz (g) and 523 hz (c). (a) what are the first two overtones for eac

Tems11 [23]

(a) first two overtones for each string:
The first string has a fundamental frequency of 196 Hz. The n-th overtone corresponds to the (n+1)-th harmonic, which can be found by using
$f_n = n f_1$
where f1 is the fundamental frequency.

So, the first overtone (2nd harmonic) of the string is
$f_2 = 2 f_1 = 2 \cdot 196 Hz = 392 Hz$
while the second overtone (3rd harmonic) is
$f_3 = 3 f_1 = 3 \cdot 196 Hz = 588 Hz$

Similarly, for the second string with fundamental frequency $f_1 = 523 Hz$ , the first overtone is
$f_2 = 2 f_1 = 2 \cdot 523 Hz = 1046 Hz$
and the second overtone is
$f_3 = 3 f_1 = 3 \cdot 523 Hz = 1569 Hz$

(b) The fundamental frequency of a string is given by
$f= \frac{1}{2L} \sqrt{ \frac{T}{\mu} }$
where L is the string length, T the tension, and $\mu = m/L$ is the mass per unit of length. This part of the problem says that the tension T and the length L of the string are the same, while the masses are different (let's calle them $m_{196}$ , the mass of the string of frequency 196 Hz, and $m_{523}$ , the mass of the string of frequency 523 Hz.
The ratio between the fundamental frequencies of the two strings is therefore:
$\frac{523 Hz}{196 Hz} = \frac{ \frac{1}{2L} \sqrt{ \frac{T}{m_{523}/L} } }{\frac{1}{2L} \sqrt{ \frac{T}{m_{196}/L} }}$
and since L and T simplify in the equation, we can find the ratio between the two masses:
$\frac{m_{196}}{m_{523}}=( \frac{523 Hz}{196 Hz} )^2 = 7.1$

(c) Now the tension T and the mass per unit of length $\mu$ is the same for the strings, while the lengths are different (let's call them $L_{196}$ and $L_{523}$ ). Let's write again the ratio between the two fundamental frequencies
$\frac{523 Hz}{196 Hz}= \frac{ \frac{1}{2L_{523}} \sqrt{ \frac{T}{\mu} } }{\frac{1}{2L_{196}} \sqrt{ \frac{T}{\mu} }}$
And since T and $\mu$ simplify, we get the ratio between the two lengths:
$\frac{L_{196}}{L_{523}}= \frac{523 Hz}{196 Hz}=2.67$

(d) Now the masses m and the lenghts L are the same, while the tensions are different (let's call them $T_{196}$ and $T_{523}$ . Let's write again the ratio of the frequencies:
$\frac{523 Hz}{196 Hz}= \frac{ \frac{1}{2L} \sqrt{ \frac{T_{523}}{m/L} } }{\frac{1}{2L} \sqrt{ \frac{T_{196}}{m/L} }}$
Now m and L simplify, and we get the ratio between the two tensions:
$\frac{T_{196}}{T_{523}}=( \frac{196 Hz}{523 Hz} )^2=0.14$

7 0

3 years ago

how is electrostatic force related to the magnitude of charge on the two objects? keeping the same separation distance for all t

wel

Electronic force related to magnitude by magnets. It is a magnetic force. So basically there is a big magnet in the center of earth. Keeps same energy. Right on edg

7 0

3 years ago

Whats the difference between relative dating and absolute dating

djyliett [7]

Relative dating and absolute dating are used to determine age of fossils and geologic features, but with different methods. Relative dating uses observation of location within rock layers, while absolute dating uses data from the decay of radioactive substances within an object.

3 0

3 years ago

Read 2 more answers

The Bob of a simple pendulum takes 0.25s to swing from its equilibrium position to one extreme. calculate it's period

mario62 [17]

Hence the period is 1 sec.

Explanation:

If the time taken by a single pendulum is 0.25 seconds. Then a pendulum will move to two extreme positions from one mean position only. That will means that the total time period is given by

T = 2 $\times$ 0.25 = 0.50 seconds.

A pendulum will oscillate from mean to the extreme, then extreme to mean, then mean to the extreme and again extreme to mean, so it will cover 2 cycles.

Hence, 2 $\times$ 0.50 = 1.

6 0

4 years ago