If two rods of lengths L and 2L having coefficients a and 2a are joined in series Find a of combination.
(A) `(2)/(3)alpha`
(B) `(1)/(2)alpha`
(C)(5)/(3)alpha`
(D) `(3)/(6)alpha`

Two resistors R1 and R2 are in series.Their coefficients are alpha1 and alpha2 .Find the effective value of alpha ?

If two rods of length L and 2L having coefficients of linear expansion alpha and 2alpha respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composite rod equals

Two rods of length L_(1) and L_(2) are made of materials of coefficients of linear expansions alpha_(1) an alpha_(2) respectively such that L_(1)alpha_(1)=L_(2)alpha_(2) . The temperature of the rods is increased by DeltaT and correspondingly the change in their respective lengths be DeltaL_(1) and DeltaL_(2)

find the value of the expression 3[sin^(4)(3(pi)/(2)-alpha)+sin^(4)(3 pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5 pi-alpha)]

Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi+alpha)]-2[sin^(6)((pi)/(2)+alpha)+sin^(6)(5pi-alpha)] .

If the roots of the equation ax^(2)-bx+c=0 are alpha,beta, then the roots of the equation b^(2)cx^(2)-ab^(2)x+a^(3)=0 are (1)/(alpha^(3)+alpha beta),(1)/(beta^(3)+alpha beta) b.(1)/(alpha^(2)+alpha beta),(1)/(beta^(2)+alpha beta) c.(1)/(alpha^(4)+alpha beta),(1)/(beta^(4)+alpha beta) d.none of these

Two metal rods of lengths L_(1) and L_(2) and coefficients of linear expansion alpha_(1) and alpha_(2) respectively are welded together to make a composite rod of length (L_(1)+L_(2)) at 0^(@)C. Find the effective coefficient of linear expansion of the composite rod.

Find the coefficient of alpha^(6) in the product (1+alpha+alpha^(2))(1+alpha+alpha^(2))(1+alpha+alpha^(2)+alpha^(3)) (1+alpha)(1+alpha)(1+alpha) .

Find the value of alpha so that the following linear equations have no solution (3 alpha+1)x+3y-2=0,(alpha^(2)+1)x+(alpha-2)y-5=0

alpha=e^((2 pi)/(5)i)then1+alpha+alpha^(2)+alpha^(3)+alpha^(4)+2 alpha^(5)=