Check that the ratio `(ke^2)/(Gm_em_p)` is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify ?

What is the ratio of p kg and q gms ?

If the ratio of three angles of a triangle is 2 : 3 : 4, then determine the circular value of the greatest angle .

If the ratio of three angles of a triangle is 2 : 3 : 4, then determine the circular value of the greatest angle .

Determine the 12th term of a G.P. whose 8th term is 192 and common ratio is 2.

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not: (i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1, (iii) 8x-7y=0, 8x-7y=56,

Express the following statements in the form of two simultaneous linear equations in two variables and determine whether these equations are solvable or not by the method of finding the relations among the ratios of the co-efficients of the same variables and the constant terms : The sum of the present ages of your elder sister and your father is 84 years. After 8 years, your father's age will be 2""1/3 times of your elder sister.

In an intrinsic semiconductor the energy gap E_(g) is 1.2 eV. Its hole mobility is much smaller than electron mobility and independent of temperature. What is the ratio between conductivity at 600 K and that at 300 K? Assume that the temerature dependence of intrinsic carrier concentration n_(i) is given by n_(i)=n_(0)"exp"(-(E_(g))/(2k_(B)T)) where n_(0) is a constant.