k 12 statistics tutor

of $p$ for the following distribution whose mean is12.58. 8. The arithmetic mean of the following data is 25, find the value of $k$. [CBSE 2001] 9. The arithmetic mean of the following data is 14. Find the value of k. [CBSE 2002 C] 10. If the mean of the following data is 21.5. Find the value of k. [CBSE 200..

Let us consider a rectangul.tr block of length I, breadth b and height h subjected to a hydrostatic pressure'P'. Fig 12.4(i) l.Letthe Young's modulus of the material of the block be Y, bulk modulus be K, rigidity modulus be T] and Poision's ratio be G. The pressures acting along x,y and z directions ;ire shown separately in Fi..

From equation 12.21, Y = 2ti (1 + ct) From equation 12.16, Y = 3K (1 - 2(71 From the above two equations 2ti(1+ct) = 3K (1 - 2a) 2r| +- 2r| a = 3K - 6K a 3K-2ri = 6Ka + 2ria = 2a (3K + ti) 3K-2ri a =----i o 27 2(3K + ri..

When abody is subjected to hydrostatic pressure change in volume is produced. The ratio between the bulk stress and volume strain is called bulk modulus. n ii j i BulkStress Bulk Modulus = -- Volume Strain Bulk stress = hydrostatic pressure = P. Volume strain = ~ ^/y Bulk modulus (K) = ~%v = , ...........12.5 / All the ..

From equation 12.16 3K (1 - 2a) = Y Y (l-2a)=- o 1 Y ~3K .............1223 From equation 12.21, Y = 2r] (1 - a) =2+2a ti Y .".2o =---2 .............12.24 From equations 12.23, 12.24, Y Y --2 = 1- T) 3K , r\ 3K I _L-2. r\+ 3K~ Y 3 ..

) Find Eigen values and Eigen functions for a particle in one dimensional potential well of finite width and infinite height. A quantum particle confined to one dimensional potential well of finite width is known to be in its first excited state. What is the probability that the particle will be anywhere in the central half of the box? (12..

; ...(i)$ Let the line joining the points (6, 8) and (-3, -2) i.e. the line (i) divide the line segment joining the points (2, 3) and (4, -5) at the point P in the ratio k : 1, then the co-ordinates of point P are $\left(\frac{k.4+1.2}{k+1},\frac{k.(-5)+1.3}{k+1}\right)i.e.\left(\frac{4k+..

Prove by method of induction that every even power of every odd integer greater than 1 when divided by 8 leaves 1 for a remainder. Solution. As the first odd integer greater than 1 is 3, let any odd integer be chosen as (2k+1) where k is a natural number. Then we have to prove that $(2k+1)^{2n}=8q+1$ wh..

A composite block having a uniform area of cross-section A, consists of two parallel layers of thicknesses L x and L^ and thermal conductivities Kj and K 2 . If the temperatures of the two faces of the block are maintained at 0 1 and 0 2 , obtain a formula for the temperature of the interface. Also obtain a formula ..

An electron is at a distance of 10 m from a charge of 10 C. Its total energy is 15.6 X IO-10 J. Find its de Broglie wavelength at this point. h = 6.6 X 10-34 J s; me 9.1 X 10~31 kg; = 9 X 109 SI, e= 1.6 X 10-19 C Solution : Potential energy of an electron, U = A JC 4/tt-Q f 109 X 10 X 1.6 X 10"19 u=--io- u = -14.4 X 10~10..