If γ is the susceptibility and μr is the relative permeability of a ferromagnetic substance, then
A player can throw a ball to a maximum horizontal distance of 80 m. If he throws the ball vertically with the same velocity, then the maximum height reached by the ball is:
An engine is dragging a mass of 5000 kg with a velocity of 5 ms-1 along a smooth inclined plane of inclination 1 in 50. Then the power of the engine is
In a hypothetical Bohr hydrogen atom, if the mass of the electron is double then the energy of the electron in the first orbit is:
A point source of light is placed at the focus of a concave mirror. Consider only paraxial rays. The shapes of the wavefronts of incident and reflected lights respectively are:
Which of the following statements is true about LEDs
Among the following statements, the correct statement for a wave is:
If a man of mass 50 kg is in a lift moving down with a acceleration equal to acceleration due to gravity, then the apparent weight of the man is:
N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in a vessel which is maintained at a temperature T. The mean square velocity of the molecules of gas B is denoted by V22 and the mean square of the x-component velocity of the molecules of gas B is denoted by V12, then V1\V2 is:
A man weighing 75 kg is standing in a lift. The weight of the man standing on a weighing machine kept in the lift when the lift is moving downwards freely under gravity is:
The orthocenter of the triangle whose sides are given by x + y + 10 = 0, x - y - 2 = 0 and 2x + y - 7 = 0 is
If a line ax + 2y = k forms a triangle of area 3 sq.units with the coordinate axis and is perpendicular to the line 2x - 3y + 7 = 0, then the product of all the possible values of k is
If R -(α,β) is the range of \(\frac{x+3}{(x-1)(x+2)}\) then the sum of the intercepts of the line ax + βy + 1 = 0 on the coordinate axes is:
Let $ X = \left\{ \begin{bmatrix} a & b \\ c & d \end{bmatrix} \middle| a, b, c, d \in \mathbb{R} \right\} $. If $ f: X \to \mathbb{R} $ is defined by $ f(A) = \det(A) $ for all $ A \in X $, then $ f $ is
If x2 + 2px - 2p + 8 > 0 for all real values of x, then the set of all possible values of p is
If the roots of the equation z2 - i = 0 are α and β, then | Arg β - Arg α | =
If nCr denotes the number of combinations of n distinct things taken r at a time, then the domain of the function g (x)= (16-x)C(2x-1) is
The locus of z such that \(\frac{|z-i|}{|z+i|}\)= 2, where z = x+iy. is
For l ∈ R, the equation (2l - 3) x2 + 2lxy - y2 = 0 represents a pair of distinct lines
If \(\int_{0}^{3} (3x^2-4x+2) \,dx = k,\) then an integer root of 3x2-4x+2= \(\frac{3k}{5}\) is
The alkali metal with the lowest E M- M+ (V) is X and the alkali metal with highest E M- M+ is Y. Then X and Y are respectively:
Which of the following can form iconic micelles in water?
The rate law for the decomposition of hydrogen iodide is - = d[HI]/dt = k[HI]2. The units of rate constant k are: