Physics-
General
Easy

Question

For a paramagnetic material, the dependence of the magnetic susceptibility X on the absolute temperature is given as

  1. X proportional to T    
  2. X proportional to 1 divided by T to the power of 2 end exponent    
  3. X proportional to 1 divided by T    
  4. Independent    

The correct answer is: X proportional to 1 divided by T


    For paramagnetic materials, the magnetic susceptibility gives information on the molecular dipole moment and hence on the electronic structure of the molecules in the material. The paramagnetic contribution to the molar magnetic susceptibility of a material, X is related to the molecular magnetic moment Mby the Curie relation
    X equals c o n s t a n t cross times fraction numerator M over denominator T end fraction ⟹ X proportional to fraction numerator 1 over denominator T end fraction

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    physics-

    Susceptibility of ferromagnetic substance is

    Susceptibility of ferromagnetic substance is

    physics-General
    General
    physics

    Shape of the graph of position not stretchy rightwards arrowtime given in the figure for a body shows that

    Shape of the graph of position not stretchy rightwards arrowtime given in the figure for a body shows that

    physicsGeneral
    General
    physics

    As shown in the figure particle P moves from A to B and particle Q moves from C to D. Displacements for P and Q are  and y respectively then

    As shown in the figure particle P moves from A to B and particle Q moves from C to D. Displacements for P and Q are  and y respectively then

    physicsGeneral
    General
    physics

    Here is a cube made from twelve wire each of length L, An ant goes from A to G  through path A-B-C-G. Calculate the displacement.

    Here is a cube made from twelve wire each of length L, An ant goes from A to G  through path A-B-C-G. Calculate the displacement.

    physicsGeneral
    General
    physics

    As shown in the figure a particle starts its motion from 0 to A. And then it moves from. A to B. Error converting from MathML to accessible text. Is an are find the Path length

    As shown in the figure a particle starts its motion from 0 to A. And then it moves from. A to B. Error converting from MathML to accessible text. Is an are find the Path length

    physicsGeneral
    General
    maths-

    Assertion (A): 2 to the power of 4 n end exponent minus 2 to the power of n end exponent left parenthesis 7 n plus 1 right parenthesis is divisible by the square of14 where n is a natural number Reason (R): left parenthesis 1 plus x right parenthesis to the power of n end exponent equals 1 plus to the power of n end exponent C subscript 1 end subscript x plus horizontal ellipsis. plus to the power of n end exponent C subscript n end subscript x to the power of n end exponent for all n element of N

    Assertion (A): 2 to the power of 4 n end exponent minus 2 to the power of n end exponent left parenthesis 7 n plus 1 right parenthesis is divisible by the square of14 where n is a natural number Reason (R): left parenthesis 1 plus x right parenthesis to the power of n end exponent equals 1 plus to the power of n end exponent C subscript 1 end subscript x plus horizontal ellipsis. plus to the power of n end exponent C subscript n end subscript x to the power of n end exponent for all n element of N

    maths-General
    General
    maths-

    Assertion (A): Number of the dissimilar terms
    in the sum of expansion left parenthesis x plus a right parenthesis to the power of 102 end exponent plus left parenthesis x minus a right parenthesis to the power of 102 end exponent is 206
    Reason (R): Number of terms in the expansion of left parenthesis x plus b right parenthesis to the power of n end exponent is n+1

    Number of terms 52

    Assertion (A): Number of the dissimilar terms
    in the sum of expansion left parenthesis x plus a right parenthesis to the power of 102 end exponent plus left parenthesis x minus a right parenthesis to the power of 102 end exponent is 206
    Reason (R): Number of terms in the expansion of left parenthesis x plus b right parenthesis to the power of n end exponent is n+1

    maths-General
    Number of terms 52
    General
    maths-

    I f A equals left parenthesis 300 right parenthesis to the power of 600 end exponent comma B=600!, C equals left parenthesis 200 right parenthesis to the power of 600 end exponent then

    I f A equals left parenthesis 300 right parenthesis to the power of 600 end exponent comma B=600!, C equals left parenthesis 200 right parenthesis to the power of 600 end exponent then

    maths-General
    General
    maths-

    The arrangement of the following with respect to coefficient of x to the power of r end exponent in ascending order where vertical line x vertical line less than 1 A) x to the power of 5 end exponent in left parenthesis 1 minus x right parenthesis to the power of negative 3 end exponent where vertical line x vertical line less than 1 B) x to the power of 7 end exponent i n left parenthesis 1 plus 2 x plus 3 x to the power of 2 end exponent plus horizontal ellipsis infinity right parenthesiswhere vertical line x vertical line less than 1 C) x to the power of 10 end exponent in left parenthesis 1 plus x right parenthesis to the power of negative 1 end exponent where vertical line x vertical line less than 1 D) x to the power of 3 end exponent in left parenthesis 1 plus x right parenthesis to the power of 4 end exponent

    The arrangement of the following with respect to coefficient of x to the power of r end exponent in ascending order where vertical line x vertical line less than 1 A) x to the power of 5 end exponent in left parenthesis 1 minus x right parenthesis to the power of negative 3 end exponent where vertical line x vertical line less than 1 B) x to the power of 7 end exponent i n left parenthesis 1 plus 2 x plus 3 x to the power of 2 end exponent plus horizontal ellipsis infinity right parenthesiswhere vertical line x vertical line less than 1 C) x to the power of 10 end exponent in left parenthesis 1 plus x right parenthesis to the power of negative 1 end exponent where vertical line x vertical line less than 1 D) x to the power of 3 end exponent in left parenthesis 1 plus x right parenthesis to the power of 4 end exponent

    maths-General
    General
    maths-

    A: If the term independent of x in the expansion of left parenthesis square root of x minus fraction numerator n over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 10 end exponent is 405, then n=
    B: If the third term in the expansion of left parenthesis fraction numerator 1 over denominator n end fraction plus n to the power of l o g subscript n end subscript 10 end exponent right parenthesis to the power of 5 end exponent is 1000, then n=(here n<10)
    C: If in the binomial expansion of left parenthesis 1 plus x right parenthesis to the power of n end exponent comma the coefficients of 5thcomma 6th and 7th terms are in A.P then n= [Arranging the values of n in ascending order]

    A: If the term independent of x in the expansion of left parenthesis square root of x minus fraction numerator n over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 10 end exponent is 405, then n=
    B: If the third term in the expansion of left parenthesis fraction numerator 1 over denominator n end fraction plus n to the power of l o g subscript n end subscript 10 end exponent right parenthesis to the power of 5 end exponent is 1000, then n=(here n<10)
    C: If in the binomial expansion of left parenthesis 1 plus x right parenthesis to the power of n end exponent comma the coefficients of 5thcomma 6th and 7th terms are in A.P then n= [Arranging the values of n in ascending order]

    maths-General
    General
    maths-

    The arrangement of the following binomial expansions in the ascending order of their independent terms A left parenthesis square root of x minus fraction numerator 3 over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 10 end exponent B left parenthesis x plus fraction numerator 1 over denominator x end fraction right parenthesis to the power of 6 end exponent C left parenthesis 1 plus x right parenthesis to the power of 32 end exponent D left parenthesis fraction numerator 3 over denominator 2 end fraction x to the power of 2 end exponent minus fraction numerator 1 over denominator 3 x end fraction right parenthesis to the power of 9 end exponent

    The arrangement of the following binomial expansions in the ascending order of their independent terms A left parenthesis square root of x minus fraction numerator 3 over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 10 end exponent B left parenthesis x plus fraction numerator 1 over denominator x end fraction right parenthesis to the power of 6 end exponent C left parenthesis 1 plus x right parenthesis to the power of 32 end exponent D left parenthesis fraction numerator 3 over denominator 2 end fraction x to the power of 2 end exponent minus fraction numerator 1 over denominator 3 x end fraction right parenthesis to the power of 9 end exponent

    maths-General
    General
    maths-

    A:blank to the power of 2 n end exponent c subscript n end subscript equals C subscript 0 end subscript superscript 2 end superscript plus C subscript 1 end subscript superscript 2 end superscript plus C subscript 2 end subscript superscript 2 end superscript plus C subscript 3 end subscript superscript 2 end superscript plus horizontal ellipsis horizontal ellipsis horizontal ellipsis.. plus C subscript n end subscript superscript 2 end superscript B:blank to the power of 2 n end exponent c subscript n end subscript equals term independent of x in left parenthesis 1 plus x right parenthesis to the power of n end exponent left parenthesis 1 plus fraction numerator 1 over denominator x end fraction right parenthesis to the power of n end exponent C:blank to the power of 2 n end exponent c subscript n end subscript equals fraction numerator 1.3.5.7 horizontal ellipsis horizontal ellipsis horizontal ellipsis horizontal ellipsis. left parenthesis 2 n minus 1 right parenthesis over denominator n factorial end fraction then

    A:blank to the power of 2 n end exponent c subscript n end subscript equals C subscript 0 end subscript superscript 2 end superscript plus C subscript 1 end subscript superscript 2 end superscript plus C subscript 2 end subscript superscript 2 end superscript plus C subscript 3 end subscript superscript 2 end superscript plus horizontal ellipsis horizontal ellipsis horizontal ellipsis.. plus C subscript n end subscript superscript 2 end superscript B:blank to the power of 2 n end exponent c subscript n end subscript equals term independent of x in left parenthesis 1 plus x right parenthesis to the power of n end exponent left parenthesis 1 plus fraction numerator 1 over denominator x end fraction right parenthesis to the power of n end exponent C:blank to the power of 2 n end exponent c subscript n end subscript equals fraction numerator 1.3.5.7 horizontal ellipsis horizontal ellipsis horizontal ellipsis horizontal ellipsis. left parenthesis 2 n minus 1 right parenthesis over denominator n factorial end fraction then

    maths-General
    General
    maths-

    I The sum of the binomial coefficients of the expansion open parentheses table row 1 row cell x plus negative end cell row x end table close parentheses is 2 to the power of n end exponent
    II The term independent of x in the expansion of open parentheses table row 1 row cell x plus negative end cell row x end table close parentheses is 0 when is even.
    Which of the above statements is correct?

    I The sum of the binomial coefficients of the expansion open parentheses table row 1 row cell x plus negative end cell row x end table close parentheses is 2 to the power of n end exponent
    II The term independent of x in the expansion of open parentheses table row 1 row cell x plus negative end cell row x end table close parentheses is 0 when is even.
    Which of the above statements is correct?

    maths-General
    General
    maths-

    S subscript 1 end subscript: The fourth term in the expansion of left parenthesis 2 x plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 9 end exponent is equal to the second term in the expansion of left parenthesis 1 plus x to the power of 2 end exponent right parenthesis to the power of 84 end exponent then the positive value of x is fraction numerator 1 over denominator 2 square root of 3 end fraction
    S subscript 2 end subscript:In the expansion of left parenthesis x to the power of 2 end exponent plus fraction numerator a over denominator x to the power of 3 end exponent end fraction right parenthesis to the power of 10 end exponent, the coefficients of x to the power of 5 end exponent and x to the power of 15 end exponent are equal, then the positive value of a is 8

    S subscript 1 end subscript right parenthesis Find 4th and second term
    S subscript 2 end subscript right parenthesis Find coefff x to the power of 5 end exponent and x to the power of 15 end exponent

    S subscript 1 end subscript: The fourth term in the expansion of left parenthesis 2 x plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction right parenthesis to the power of 9 end exponent is equal to the second term in the expansion of left parenthesis 1 plus x to the power of 2 end exponent right parenthesis to the power of 84 end exponent then the positive value of x is fraction numerator 1 over denominator 2 square root of 3 end fraction
    S subscript 2 end subscript:In the expansion of left parenthesis x to the power of 2 end exponent plus fraction numerator a over denominator x to the power of 3 end exponent end fraction right parenthesis to the power of 10 end exponent, the coefficients of x to the power of 5 end exponent and x to the power of 15 end exponent are equal, then the positive value of a is 8

    maths-General
    S subscript 1 end subscript right parenthesis Find 4th and second term
    S subscript 2 end subscript right parenthesis Find coefff x to the power of 5 end exponent and x to the power of 15 end exponent
    General
    maths-

    S1: If the coefficients of x to the power of 6 end exponent and x to the power of 7 end exponent in the expansion of left parenthesis fraction numerator x over denominator 4 end fraction plus 3 right parenthesis to the power of n end exponent are equal, then the number ofdivisors ofn is 12.
    S2: If the expansion of left parenthesis x to the power of 2 end exponent plus fraction numerator 2 over denominator x end fraction right parenthesis to the power of n end exponent for positive integer n has 13 th term independent of x Then the sum of divisors of n is 39.

    S1: If the coefficients of x to the power of 6 end exponent and x to the power of 7 end exponent in the expansion of left parenthesis fraction numerator x over denominator 4 end fraction plus 3 right parenthesis to the power of n end exponent are equal, then the number ofdivisors ofn is 12.
    S2: If the expansion of left parenthesis x to the power of 2 end exponent plus fraction numerator 2 over denominator x end fraction right parenthesis to the power of n end exponent for positive integer n has 13 th term independent of x Then the sum of divisors of n is 39.

    maths-General