Chapter 11, Problem 11.3TC

Interpretation Introduction

(a)

Interpretation:

The statement “The speed of automobiles on a highway is quantized” is to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “The speed of automobiles on a highway is quantized” is false. “The speed of automobiles on a highway is continuous” is a true statement.

Explanation of Solution

The statement “The speed of automobiles on a highway is quantized” is not true. The speed of automobiles is never fixed or quantized on the highway it is varying with time. It can have any value at sort of moment. Therefore, the correct statement is “The speed of automobiles on a highway is continuous”.

Conclusion

The statement “The speed of automobiles on a highway is quantized” is false. The correct or true statement is “The speed of automobiles on a highway is continuous”.

Interpretation Introduction

(b)

Interpretation:

The statement “Paper money in the United States is quantized” to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “Paper money in the United States is quantized” is true.

Explanation of Solution

A quantity is quantized if it has fixed values. A quantity is continuous if it can have any value or an indefinite number of possibilities.

The statement “Paper money in the United States is quantized” is true. Paper money has a fixed value. It cannot be higher or lower than the mentioned value on the paper.

Conclusion

“Paper money in the United States is quantized” is a true statement.

Interpretation Introduction

(c)

Interpretation:

The statement “The weight of canned soup on a grocery store shelf is quantized” to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “The weight of canned soup on a grocery store shelf is quantized” is true.

Explanation of Solution

A quantity is quantized if it has fixed values. A quantity is continuous if it can have any value or an indefinite number of possibilities.

The statement “The weight of canned soup on a grocery store shelf is quantized” is true. The canned products in the grocery stores have a fixed net mass of the contents. Their value is fixed while packaging in order that no extra amount is loaded which might bring loss to the company. Also, no lesser amount is loaded which will be considered as cheating with the customer.

Conclusion

“The weight of canned soup on a grocery store shelf is quantized” is a true statement.

Interpretation Introduction

(d)

Interpretation:

The statement “The volume of water coming from a faucet is quantized” to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “The volume of water coming from a faucet is quantized” is false. “The volume of water coming from a faucet is continuous” is a true statement.

Explanation of Solution

A quantity is quantized if it has fixed values. A quantity is continuous if it can have any value or an indefinite number of possibilities.

The statement “The volume of water coming from a faucet is quantized” is not true. The volume of water coming from the faucet can have any value depending upon how much it is opened up. Secondly, it also depends upon the level of water in the tank from where water is coming in the faucet. Therefore, the correct statement is “The volume of water coming from a faucet is continuous”.

Conclusion

The statement “The volume of water coming from a faucet is quantized” is false. The correct or true statement is “The volume of water coming from a faucet is continuous”.

Interpretation Introduction

(e)

Interpretation:

The statement “A person’s height is quantized” to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “A person’s height is quantized” is false. “A person’s height is continuous” is a true statement.

Explanation of Solution

A quantity is quantized if it has fixed value. A quantity is continuous if it can have any value or an indefinite number of possibilities.

The statement “A person’s height is quantized” is not true. The height of a person is not a fixed value. The height a person can be any value as one can see there is a wide variety of heights of a person in the real world. Therefore, the correct statement is “A person’s height is continuous”.

Conclusion

The statement “A person’s height is quantized” is false. The correct or true statement is “A person’s height is continuous”.

Interpretation Introduction

(f)

Interpretation:

The statement “Bohr described mathematically the orbits of electrons in a sodium atom” to be identified as true or false and if false, true statement for that is to be stated.

Concept introduction:

The term quantization is introduced by the Niel Bohr which means a fixed value quantity. He introduced this for the energy of the electron in an orbit is quantized. The quantity that can have any value or an indefinite number of possible values is termed as continuous.

Answer to Problem 11.3TC

The statement “Bohr described mathematically the orbits of electrons in a sodium atom” is false. “Bohr described mathematically the orbits of electrons in a hydrogen atom” is a true statement.

Explanation of Solution

The statement “Bohr described mathematically the orbits of electrons in a sodium atom” is not true. Neil Bohr gave his model of an atom for the hydrogen atom only. All the saying’s in his theory is based on the hydrogen atom. Therefore, the correct statement is “Bohr described mathematically the orbits of electrons in a hydrogen atom”.

Conclusion

The statement “Bohr described mathematically the orbits of electrons in a sodium atom” is false.

The corrected statement is “Bohr described mathematically the orbits of electrons in a hydrogen atom”.