Questions 421–430 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 43 of 65

Question 21

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A particle

undergoes strong decay

. The isospin of

is _____.

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Question 22

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For a complex variable

and the contour

taken in the counter clockwise direction,

_____.

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Question 23

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Let

be the momentum conjugate to the generalized coordinate

. If the transformation

is canonical, then

_____.

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Question 24

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A conducting sphere of radius 1 m is placed in air. The maximum number of electrons that can be put on the sphere to avoid electrical breakdown is about

, where

is an integer. The value of

is _____. Assume: Breakdown electric field strength in air is

V/m; Permittivity of free space

F/m; Electron charge

C.

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Question 25

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If a particle is moving along a sinusoidal curve, the number of degrees of freedom of the particle is ___.

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Question 26

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The product of eigenvalues of

is
Your answerChoose one option.

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Question 27

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Let

,

and

. Let

. Let

denote the three-dimensional real vector space. Which one of the following is correct?
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Question 28

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denotes the spin operator defined as

. Which one of the following is correct?
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Question 29

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The input voltage (V

) to the circuit shown in the figure is

V. The output voltage (V

) is

V. If R = 1 k

, the value of C (in

F) is
Diagram for Physics question 29

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Question 30

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Consider a 4-bit counter constructed out of four flip-flops. It is formed by connecting the J and K inputs to logic high and feeding the Q output to the clock input of the following flip-flop (see the figure). The input signal to the counter is a series of square pulses and the change of state is triggered by the falling edge. At time

the outputs are in logic low state (

). Then at

, the logic state of the outputs is
Diagram for Physics question 30

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