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Question:
It is now believed that protons and neutrons (which constitute nuclei of ordinary matter) are themselves built out of more elementary units called quarks. A proton and a neutron consist of three quarks each. Two types of quarks, the so called up quark (denoted by u) of charge + (2/3) e, and the down quark (denoted by d) of charge (-1/3) e, together with electrons build up ordinary matter. (Quarks of other types have also been found which give rise to different unusual varieties of matter.) Suggest a possible quark composition of a proton and neutron.
Answer:

A proton has three quarks. Let there be n up quarks in a proton, each having a charge ofimage302 NCERT Solutions class-12 physics Electric Charges and Field Part-2.

Charge due to n up quarksimage303 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Number of down quarks in a proton = 3 – n

Each down quark has a charge of image304 NCERT Solutions class-12 physics Electric Charges and Field Part-2.

Charge due to (3 – n) down quarks image305 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Total charge on a proton = + e

image306 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image307 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image308 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image309 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Number of up quarks in a proton, n = 2

Number of down quarks in a proton = 3 – n = 3 – 2 = 1

Therefore, a proton can be represented asimage310 NCERT Solutions class-12 physics Electric Charges and Field Part-2

A neutron also has three quarks. Let there be n up quarks in a neutron, each having a charge of image311 NCERT Solutions class-12 physics Electric Charges and Field Part-2.

Charge on a neutron due to n up quarks image312 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Number of down quarks is 3 – n, each having a charge of image313 NCERT Solutions class-12 physics Electric Charges and Field Part-2.

Charge on a neutron due to image314 NCERT Solutions class-12 physics Electric Charges and Field Part-2down quarks = image315 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Total charge on a neutron = 0

image316 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image317 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image318 NCERT Solutions class-12 physics Electric Charges and Field Part-2

image319 NCERT Solutions class-12 physics Electric Charges and Field Part-2

Number of up quarks in a neutron, n = 1

Number of down quarks in a neutron = 3 – n = 2

Therefore, a neutron can be represented asimage320 NCERT Solutions class-12 physics Electric Charges and Field Part-2.

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