Write relation between `alpha_(l),alpha_(A)` and `alpha_(V)`.

Two composite rods made by A & B and C & B materials as shown. When we increase the temperature DeltaT , relation between final lengths of rod becomes L_(1)ltL_(2) . Find the relation between alpha_(A) and alpha_(C) . ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_PHY_R01_E09_013_Q01.png" width="80%"gt

A cube of coefficient of linear expansion alpha is floating in a bath containing a liquid of coefficient of volume expansion gamma_(l) . When the temperature is raised by DeltaT , the depth upto which the cube is submerged in the liquid remains the same. Find relation between alpha and gamma_(l)

If 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

A bimetallic strip of thickness d and length L is clamped at one end at temperature t_(1) . Find the radius of curvature of the strip if it consists of two different metals of expansivity alpha_(1) and alpha_(2) (alpha_(1) gt alpha_(2) ) when its temperature rises to t_(2) "^(@)C .

If alpha_(1), alpha_(2), alpha_(3), beta_(1), beta_(2), beta_(3) are the values of n for which sum_(r=0)^(n-1)x^(2r) is divisible by sum_(r=0)^(n-1)x^(r ) , then the triangle having vertices (alpha_(1), beta_(1)),(alpha_(2),beta_(2)) and (alpha_(3), beta_(3)) cannot be

The coefficient of linear expansion 'alpha ' of a rod of length 2 m varies with the distance x from the end of the rod as alpha = alpha_(0) + alpha_(1) "x" where alpha_(0) = 1.76 xx 10^(-5) "^(@)C^(-1)"and" alpha_(1) = 1.2 xx 10^(-6)m^(-1) "^(@)C^(-1) . The increase in the length of the rod. When heated through 100^(@)C is :-

Two equal resistance at 0^(@)C with temperature coefficient of resistance alpha_(1) and alpha_(2) joined in series act as a single resistance in a circuit the temperature coefficient of their single resistance will be

Two wires of resistance R_(1) and R_(2) have temperature coefficient of resistance alpha_(1) and alpha_(2) respectively. These are joined in series. The effective temperature coefficient of resistance is

If a_(1),a_(2),".....", are in HP and f_(k)=sum_(r=1)^(n)a_(r)-a_(k) , then 2^(alpha_(1)),2^(alpha_(2)),2^(alpha_(3))2^(alpha_(4)),"....." are in {" where " alpha_(1)=(a_(1))/(f_(1)),alpha_(2)=(a_(2))/(f_(2)),alpha_(3)=(a_(3))/(f_(3)),"....."} .