The amount of a radioactive element over time can be written as:

So, considering that we know the time of its half life, we know how long it takes to get to half the original amount. This is (usint the amount of days in microseconds):


Thus, lambda=3.82*10^(-11)/microseconds
Answer:

Explanation:
First of all, let's convert from nanometres to metres, keeping in mind that

So we have:

Now we can convert from metres to centimetres, keeping in mind that

So, we find:

Answer:
B) Periodic Motion
Explanation:
When a pendulum is friction-less, i.e there are no damping forces acting on it, its motion will be periodic, i.e it will bob up and down going from potential energy to kinetic energy and back. Thus, the motion of the pendulum can be best described by the term "period motion", hence choice B.
If however, forces do act on the pendulum, and if they acts as to damp the pendulum, it will oscillate less and less as time goes by, and eventually come to a stop (in the real world this damping force is usually air resistance ). And if the force acts in such a way that it increases the oscillations, the pendulum will swing higher and higher, and the system will go haywire! :)
The speed of sound depends on the medium in which it is transported.
Sound travels fastest through solids, slower through liquids and slowest through gases.
So it will travel slowest through water at 55 degrees
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Answer:
The velocity must change but not speed.
Explanation:
- Velocity is defined as the displacement by time. Whereas speed is expressed as the distance between two successive positions of the body to the time interval it took to travel.
<em>Velocity, V = D / t m/s</em>
<em> Speed, s = d /t m/s </em>
- Velocity is a vector quantity that has a magnitude and direction.
- The speed is a scalar quantity having only the magnitude.
- At any instant of time, the magnitude of the velocity is always equal to the magnitude of the speed. The magnitude of velocity, |<em>v </em>| = magnitude of speed, |<em>v </em>|. The magnitude is always positive
- The acceleration of a body is defined as the rate of change of velocity to time.
<em> a = (v - u) / t m/s²</em>
- If a body is accelerating, It varies its velocity with respect to time.
- In case of uniform circular motion, the speed remains constant, but the velocity changes continuously.
So, in the case of circular motion if an object accelerates, velocity must change but speed remains constant.