The previous part could be done without using the decay equation, because the ratio of original 14C14C to present 14C14C was an integer power of 1/2. Most problems are not so simple. To solve more general carbon dating problems, you must first find the value of the decay constant for 14C14C, so that you can easily use the decay equation. Using the given half-life, 5730 years, find the value of the decay constant for 14C14C.

The decay constant is 1.21×10^-4/year

Explanation:

Decay constant = 0.693/half-life

Half-life = 5730 years

Decay constant = 0.693/5730 years = 1.21×10^-4/year

c) up is the direction the magnetic force is acting on the charge.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.