ورقة عمل ( حساب أنصاف أقطار مدارات الإلكترون في ذرة الهيدروجين )

The statement is false. According to the Bohr model of the hydrogen atom, the radius of the electron's third orbit is nine times larger than the radius of the first orbit, not three times larger.

The correct answer for this question is "نصف قطر بور" which translates to "Bohr radius" in English. The Bohr radius is a fundamental physical constant that represents the radius of the first orbit of a hydrogen atom. It is named after the Danish physicist Niels Bohr, who proposed the Bohr model of the atom. The Bohr model describes electrons as orbiting the nucleus in specific energy levels, and the Bohr radius is the distance between the electron and the nucleus in the first energy level.

The question is asking for the value of the radius in the third orbit of an electron in a hydrogen atom, given the radius of the first orbit as "r". The correct answer is 9r, which means that the radius in the third orbit is nine times the radius of the first orbit. This implies that as the electron moves to higher energy levels or orbits, the distance from the nucleus increases.

The statement is false. The radius of the electron orbit in a hydrogen atom is not directly proportional to the orbit's order. In fact, the radius of the electron orbit increases as the orbit's order increases. This is known as the Bohr radius, and it is given by the equation r = a₀/n², where a₀ is the Bohr radius constant and n is the orbit's order.

The question is asking for the value of the radius of the fourth orbit in hydrogen atom, given that the radius of the first orbit is r1. The answer states that the radius of the fourth orbit is equal to 16 times the radius of the first orbit (4r = 16r1). This implies that the radius of each successive orbit in the hydrogen atom increases by a factor of 4.