Home
Class 12
PHYSICS
Which two of the following five physical...

Which two of the following five physical paremeters have the same dimensions ? 1. energy density 2. refractive index 3. dielectric constant 4. Young's modulus 5. magnetic field.

A

`-5Q`

B

`+3Q`

C

`-4Q`

D

`+4Q`

Text Solution

Verified by Experts

The correct Answer is:
A


Inner charge density `=(-Q)/(4pi a^(2))`
Outer charge density`=((q+Q))/(4pi(2a)^(2))`
`(-Q)/(4pi a^(2))=((q+Q))/(4pi(2a)^(2)) rArr q=-50`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Which of the following two parameter have same dimension? (a) energy density (b) refractive index (c) dielectric constant (d) Young's modulus (e) electric field.

Which of the following relations are functions? Give reason {(3,3) (4,2) (5,1) (6,0) (7,7)}

Relative permeability of medium of refractive index 1.5 and dielectric constant 2 is ……. TmA^(-1). (mu_(0)=4pi xx10^(-7)TmA^(-1))

Which one of the following modifications may increase the senstivity of moving coil galvanometer? 1^(st) Way : By using spring of smaller torsion constant. 2^(nd) Way : By using a smaller coil 3^(rd) Way : By using a stronger magnet 4^(th) Way: By using a coil having fewer number of turns.

PQ is a current - carrying long straight conductor in the plance of the paper as shown in the following figure. A and B are two points at distances r_(1) and r_(2) from it . If r_(2) gt r_(2) at which point will the strength of the magnetic field be greater ? Justify your answer .

A parallel plate capacitor is made of two circular plates separated by a distanc of 5mm and with a dielectric of dielectric constant 2.2 between them . When the electric field in the dielectric is 3xx10^(4) V/m the charge density of the positive plate will be close to :

A right angled prism of refractive index mu_(1) is placed in a rectangular block of refractive index mu_(2) , which is surrounded by a medium of refractive index mu_(3) ,as shown in the figure . A ray of light 'e' enters the rectangular block at normal incidence . depending upon the relationship between mu_(1) , mu_(2) "and" mu_(3) , it takes one of the four possible paths 'ef' , 'eg' , 'eh' or 'ef' Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists: {:("List" I , "List" II) , ( P. e rarr f , 1. mu_(1)gt sqrt(2mu_(2))) , ( Q. e rarr g , 2. mu_(2) gt mu_(1) "and" mu_(2) gt mu_(3)), ( R. e rarr f , 3. mu_(1) = mu_(2)), ( S. e rarr f , 4. mu_(2) lt mu_(1) lt sqrt(2mu_(2)) "and" mu_(2) gt mu_(3)):} Codes : {:( P , Q , R , S) , ((A) 2 , 3 , 1 , 4), ((B) 1 , 2 , 4 , 3) , ((C) 4 , 1 , 2 , 3) , ((D) 2, 3 , 4 , 1):}

Consider the situation in figure. The bottom of the pot is reflecting plane mirror , S is small fish is a human eye . Refractive index of water is mu . Fish can see two images of human eye , first due to refractive only and other due to refraction and than reflection . Distance of these images from fish are S_(1) "and" S_(2) respectively . Human eye can also see the two images of fish, first due to refraction only and other due to reflection and then refraction . Distance of these images from human eye are S_(3) "and" S_(4) respectively . Match the quantities of column-I (with their value in column-(II) {:("Column I","Column II"),((A) S_(1),(p)H[1 + (1)/(2mu)]),((B)S_(2),(q) H[mu + (1)/(2)]),((C)S_(3) , (r) H[1 + (3)/(2mu)]) , ((D) S_(4) , (s) H[mu + (3)/(2)]):}

Let A = { 1, 2, { 3, 4 }, 5 } . Which of the following statements are incorrect and why? 1 ⊂ A

Let A = { 1, 2, { 3, 4 }, 5 } . Which of the following statements are incorrect and why? 1 ∈ A