Practice questions
88551 published questions with worked solutions.
- Let a_1, a_2, a_3, be an A.P. with a_6 = 2. Then the common difference of this A.P., which maximises the product a_1a_4a_5, is:
- If ^ -1 x - ^ -1 y 2 = , where -1 x 1, -2 y 2, x y 2 , then for all x, y, 4x^2 - 4xy + y^2 is equal to:
- A perpendicular is drawn from a point on the line x-1 2 = y+1 -1 = z 1 to the plane x + y + z = 3 such that the foot of the...
- The relative error in the determination of the surface area of a sphere is . Then the relative error in the determination of its...
- An ideal capacitor of capacitance 0.2 µF is charged to a potential difference of 10V. The charging battery is then disconnected....
- Two electrons are moving with non-relativistic speeds perpendicular to each other. If corresponding de Broglie wavelengths are _1...
- A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open...
- The number of amplitude modulated broadcast stations that can be accommodated in a 300 kHz band width for the highest modulating...Not in JEE or NEET syllabus
- A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal...
- Light of wavelength 550 nm falls normally on a slit of width 22.0 10^ -5 cm. The angular position of the second minima from the...
- A given object takes n times more time to slide down a 45° rough inclined plane as it takes to slide down a perfectly smooth 45°...
- A Carnot's engine works as a refrigerator between 250 K and 300 K. It receives 500 cal heat from the reservoir at the lower...
- An automobile, travelling at 40 km/h, can be stopped at a distance of 40 m by applying brakes. If the same automobile is...
- Take the mean distance of the moon and the sun from the earth to be 0.4 10^6 km and 150 10^6 km respectively. Their masses are 8...
- A body of mass M and charge q is connected to a spring of spring constant k. It is oscillating along x-direction about its...
- In a screw gauge, 5 complete rotations of the screw cause it to move a linear distance of 0.25 cm. There are 100 circular scale...
- A solution containing active cobalt ^ 60 _ 27 Co having activity of 0.8 µCi and decay constant is injected in an animal's body....
- A monochromatic beam of light has a frequency v = 3 2 10^ 12 Hz and is propagating along the direction i + j 2 . It is polarized...
- Identify the pair in which the geometry of the species is T-shape and square pyramidal, respectively
- In hydrogen azide, the bond orders of bonds (I) and (II) are _______. H - N (I) ---- N (II) ---- N