Physics: Taylor mix two liquids together in a bakery the bakery quickly heated up what does this indicate about the reaction that took place

Taylor mix two liquids together in a bakery the bakery

kaylynnbryner04

15.04.2023

The speed is $v = 8.1 *10^{7} \ m/s$

Explanation:

From the question we are told that

The real wavelength is $\lambda_r = 680 \ nm = 680 *10^{-9} \ m$

The observed wavelength is $\lambda_o = 515 \ nm = 515 *10^{-9} \ m$

Generally the real wavelength of the stop light according to doppler effect is mathematically as

$\lambda _r = \sqrt{\frac{1 + \frac{v}{c} }{1 - \frac{v}{c} } } * \lambda_o$

Here c is the speed of the light

and v is the speed of the physicist

$\frac{\lambda_r}{\lambda_o} = \sqrt{\frac{1 + \frac{v}{c} }{1 - \frac{v}{c} } }$

=> $\frac{680nm}{515nm} = \sqrt{\frac{1 + \frac{v}{c} }{1 - \frac{v}{c} } }$

=> $[\frac{680nm}{515nm} ]^2= \frac{1 + \frac{v}{c} }{1 - \frac{v}{c} }$

=> $1.743 = \frac{1 + \frac{v}{c} }{1 - \frac{v}{c} }$

=> $1.743 - 1.743\frac{v}{c} = 1 + \frac{v}{c}$

=> $0.743 = 2.743\frac{v}{c}$

=> $v = \frac{0.743c}{2.743}$

=> v = 0.2709c

substituting $3.0*0^{8} \ m/s$ for c

=> $v = 0.2709 * 3.0*10^{8}$

=> $v = 8.1 *10^{7} \ m/s$

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