`l_1 and l_2` are the side lengths of two variable squares ` S_1, and S_2`, respectively. If `l_1+l_2^3+6` then rate of change of the area of `S_2`, with respect to rate of change of the area of `S_1` when `l_2 = 1` is equal to

l_1 and l_2 are the side lengths of two variable squares S_1, and S_2 , respectively. If l_1=l_2+l_2^3+6 then rate of change of the area of S_2 , with respect to rate of change of the area of S_1 when l_2 = 1 is equal to

The diagonal of a square is changing at the rate of 0.5cm s^-1 . Then the rate of change of area, when the area is 400 cm^2 is equal to

The balancing lengths for the cells of emfs E_1 and E_2 are l_1 and l_2 respectively . If they are connected separately then

Two rods, one of aluminum and the other made of steel, having initial length l_1 and l_2 are connected together to form a single rod of length l_1 + l_2 . The coefficients of linear expansion for aluminum and steel are alpha_a, and alpha_s, respectively. If the length of each rod increases by the same amount when their temperature are raised by t^@C , then find the ratio l_1/(l_1 + l_2)

In the figure given below there are two convex lenses L1 and L2 having focal lengths F1 and F2 respectively. The distance between L1 and L2 will be

In Fig., there are two convex lenses L_1 and L_2 having focal lengths F_1 and F_2 respectively. The distance between L_1 and L_2 will be : .

Two rods, one of aluminium and the other made of steel, having initial length l_1 and l_2 are connected together to from a single rod of length l_1+l_2. The coefficients of linear expansion for aluminium and steel are alpha_a and alpha_s and respectively. If the length of each rod increases by the same amount when their temperature are raised by t^0C, then find the ratio l_1//(l_1+l_2)

Two rods, one of aluminium and the other made of steel, having initial length l_1 and l_2 are connected together to from a single rod of length l_1+l_2. The coefficients of linear expansion for aluminium and steel are alpha_a and alpha_s and respectively. If the length of each rod increases by the same amount when their temperature are raised by t^0C, then find the ratio l_1//(l_1+l_2)

Two rods, one of aluminium and the other made of steel, having initial length l_1 and l_2 are connected together to from a single rod of length l_1+l_2. The coefficients of linear expansion for aluminium and steel are alpha_a and alpha_s and respectively. If the length of each rod increases by the same amount when their temperature are raised by t^0C, then find the ratio l_1//(l_1+l_2)