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The time period of the electron in the ground state of hydrogen atom is two times the time period of the electron in the first excited state of a certain hydrogen like atom (Atomic number Z). The value of is

A
2

B
3

C
4

D
None of these

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CHAPTER 9 CENTRE OF MASS, LINEAR MOMENTUM, COLLISION 9.1 CENTRE OF MASS Definition of Centre of Mass Suppose a spin bowler throws a cricket ball vertically upward. Being a spinner, his fingers turn (Figure 9.2). Let the mass of the ith particle be , and while throwing the ball and the ball goes up spinning its coordinates with reference to the chosen axes be rapidly. Focus your attention to a particular point on . Write the product for each of the the surface of the ball. How does it move in the space? particles and add them to get . Similarfy get Because the ball is spinning as well as rising up, in and . Then find complicated, not confined to a straight line or to a plane. The centre of the ball, however, still goes on the vertical straight line and the spinner's fingers could and not make its path complicated. If he does not throw where is the total mass of the system. the ball vertically up, rather passes it to his fellow fielder, the centre of the ball goes in a parabola. (a) (b) Figure 9.2 Figure 9.1 Locate the point with coordinates . This point All the points of the ball do not go in parabolic is called the centre of mass of the given collection of paths. If the ball is spinning, the paths of most of the the particles. If the position vector of the i th particle particles of the ball are complicated. But the centre of is , the centre of mass is defined to have the position the ball always goes in a parabola irrespective of how vector the ball is thrown. (In fact the presence of air makes the path of the centre slightly different from a parabola discussed in a later chapter. At present we neglect it.) Taking components of this equation, we get the and bowlers utilise this deviation. This effect will be coordinates of centre of mass as defined above The centre of the ball is a very special point which is called the centre of mass of the ball. Its motion is just like the motion of a single particle thrown.
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Question Text
The time period of the electron in the ground state of hydrogen atom is two times the time period of the electron in the first excited state of a certain hydrogen like atom (Atomic number Z). The value of is
Updated OnMar 26, 2023
TopicAtoms
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 1
Upvotes220
Avg. Video Duration3 min