In an experiment to find the speed and position of an electron (m = 9.11 × 10–31 kg), three physicists claim to have measured the position of the electron to within ± 10–9 m. They reported the following values for the speed of the electron:

Researcher A

3 × 106 ± 2 × 104 m/s

Researcher B

4 × 108 ± 2 × 107 m/s

Researcher C

2 × 107 ± 5 × 105 m/s

Which of these measurements violates one or more basic laws of modern physics?

a and b sometimes have a positive value

c. magnitude and direction

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.

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