Answer:
The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.
Explanation:
Given that,
First frequency = 986 Hz
Second frequency = 1102 Hz
We need to calculate the length of the pipe
Using formula of length

Put the value into the formula



We need to calculate the fundamental frequency of this pipe

Put the value into the formula


Hence, The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.
Answer:
Power required, P = 175 watts
Explanation:
It is given that,
Weight of a student, F = mg = 200 N
The student climbs a flight of stairs of height, h = 7 m
Time taken, t = 8 s
We have to find the power required to perform this task. Work done per unit time is called the power required. Mathematically, it is given by :

W = work done
t = time taken


P = 175 watts
Hence, the power required to complete this task is 175 watts.
Answer:
A u = 0.36c B u = 0.961c
Explanation:
In special relativity the transformation of velocities is carried out using the Lorentz equations, if the movement in the x direction remains
u ’= (u-v) / (1- uv / c²)
Where u’ is the speed with respect to the mobile system, in this case the initial nucleus of uranium, u the speed with respect to the fixed system (the observer in the laboratory) and v the speed of the mobile system with respect to the laboratory
The data give is u ’= 0.43c and the initial core velocity v = 0.94c
Let's clear the speed with respect to the observer (u)
u’ (1- u v / c²) = u -v
u + u ’uv / c² = v - u’
u (1 + u ’v / c²) = v - u’
u = (v-u ’) / (1+ u’ v / c²)
Let's calculate
u = (0.94 c - 0.43c) / (1+ 0.43c 0.94 c / c²)
u = 0.51c / (1 + 0.4042)
u = 0.36c
We repeat the calculation for the other piece
In this case u ’= - 0.35c
We calculate
u = (0.94c + 0.35c) / (1 - 0.35c 0.94c / c²)
u = 1.29c / (1- 0.329)
u = 0.961c
Answer:
You are correct. Cold water sinks in warm or room temperature water.
The frequency of a sound is whatever frequency leaves the source. It doesn't change.
Voiced of swimmers at the pool don't change frequency in or out of the water. Only their speed and wavelength change.