RankLab
Back to Questions
MathsMediumNumerical2020 ยท 05 Sep Shift 1

Q72.The natural number m, for which the coefficient of x in the binomial expansion of (xm + x21 ) 22 is 1540, is

What This Question Tests

The problem tests the ability to find the general term in a binomial expansion, determine the condition for the exponent of 'x' to be 1, and then solve for the unknown variable 'm' given the coefficient.

Concepts Tested

Binomial theorem general termCoefficient of a specific termSolving equations involving combinations

Formulas Used

T_(r+1) = nCr * a^(n-r) * b^r

๐Ÿ“š NCERT Sections This Tests

12.5 โ€” A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,

Physics Class 12 ยท Chapter 12

71% match

12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.

13.2 โ€” Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of

Physics Class 12 ยท Chapter 13

70% match

13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u

1.3 โ€” Define The Following Terms:

Chemistry Class 11 ยท Chapter 1

70% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.