Find the value of l if: `(3l)/(2)=(2)/(3)`

Find the value of int_(-l/2)^(+l/2)M/l x^(2) dx where M and l are constants .

Consider three rods of length L_(1), L_(2) and L_(3) espectively joined in series. Each has same cross - sectional area with Young's moduli Y, 2Y and 3Y respectively and thermal coefficients of linear expansion alpha, 2alpha and 3 alpha respectively. They are placed between two rigid fixed walls. The temperature of the whole system is increased and it is found that length of the middle rod does not change with temperature rise. Find the value of (9L_(1))/(L_(3)) .

If the integral l_(n)=int_(0)^(pi//4)tan^(n)xdx is reduced to its lower integrals like l_(n-1),l_(n-2) etc., The value of (l_(3)+2l_(5))/(l_(1)) is

Find the value of n+l of the orbital 2S.

If l_(1), m_(1), n_(1), l_(2), m_(2), n_(2) and l_(3), m_(3), n_(3) are direction cosines of three mutuallyy perpendicular lines then, the value of |(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3))| is

Consider the line L_(1) : (x-1)/(2)=(y)/(-1)=(z+3)/(1), L_(2) : (x-4)/(1)=(y+3)/(1)=(z+3)/(2) find the angle between them.

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

Find the values of ointvecB.vec(dl) for the loops L_1, L_2 and L_3 in Fig. (The sense of vec(dl) is mentioned in the figure)

Find the values of ointvecB.vec(dl) for the loops L_1, L_2 and L_3 in Fig. (The sense of vec(dl) is mentioned in the figure)

Figure shows an L-R circuit. When the switch S is closed, the current through resistor R_(1), R_(2) and l_(3) are l_(1), l_(2) and l_(3) respectively. The value of l_(1), l_(2) and l_(3) at t=0 s is