Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 23  26 of 77
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Question number: 23
» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions
Appeared in Year: 2014
Question
Two independent random variables m and n, which can take the integer values , follow the Poisson distribution, with distinct mean values and respectively. Then, (December)
Choices
Choice (4)  Response  

a.  The probability distribution of the random variable is a binomial distribution. 

b.  The variance of the random variable is equal to. 

c.  The probability distribution of the random variable is also a Poisson distribution. 

d.  The mean value of the random variable is equal to 0. 

Question number: 24
» Mathematical Methods of Physics » Elementary Probability Theory
Appeared in Year: 2012
Question
An unbiased dice is thrown three times successively. The probability that the numbers of dots on the uppermost surface add up to 16 is – (December)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 25
» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions
Appeared in Year: 2014
Question
If the electrostatic potential in spherical polar coordinates is; where and are constants, then the charge density at a distance will be – (June)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 26
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2014
Question
Consider the differential equation
With the initial conditions and. The solution attains its maximum value when is – (June)
Choices
Choice (4)  Response  

a. 


b.  2 

c.  1 

d.  ∞ 
