The human ear canal is about 2.7 cm long and
can be regarded as a tube open at one end and
closed at the eardrum.
What is the fundamental frequency around
which we would expect hearing to be most
sensitive? Assume the speed of sound in air
to be 344 m/s.
Answer in units of kHz.

3.185KHz

Explanation:

Where

Length (L) = 2.7cm

Speed (V) = 344m/s

Wavelength of the fundamental standing wave: λ = 4L

λ = 4L

Frequency is the rate per second of a vibration constituting a wave.

Frequency is given as:

F= v/ λ

Therefore,

Frequency= v/4λ

Frequency = 1×(344m/s)/4×(2.7cm)

Convert centimetre to meter

100cm= 1m

Convert Hz to kiloHz

1000Hz= 1kHz

Frequency= 3.185KHz

true tan speed = ang vel x radius

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.