JEE Main Test 1...

If a function f satisfies f {f(x)} = x + 1 for all real values of x and f(0) = 1/2, then f(1) is equal to

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw guage has a zero error of –0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

The radius of the circle

A particle of mass m is projected with a velocity v making an angle of 30° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

4.6 x 10²² atoms of an element weigh 13.8 g. The atomic weight of that element is

Which of the following is correct for

C(graphite) + O₂ → CO₂ , Heat = - 348 kJ ?

A block of mass 200 kg is being pulled up by men on an inclined plane at angle of 45° as shown in the figure. The coefficient of static friction is 0.5. Each man can only apply a maximum force of 500 N. Calculate the number of men required for the block to just start moving up the plane.