A scientist has devised a new method of isolating individual particles. He claims that this method enables him to detect simultane- ously the position of a particle along an axis with a standard deviation of 0.12 nm and its momentum component along this axis with a stan- dard deviation of 3.0 * 10-25 kg m/s. Use the Heisenberg uncertainty principle to evaluate the validity of this claim

A scientist has devised a new method of isolating individual particles. He claims that this method enables him to detect simultane- ously the position of a particle along an axis with a standard deviation of 0.12 nm and its momentum component along this axis with a stan- dard deviation of 3.0 * 10-25 kg m/s. Use the Heisenberg uncertainty principle to evaluate the validity of this claim