A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car
A set of four observations has mean 1 and variance . Another set of six observations has mean 2 and varian . Then, the variance of all these 10 observations is equa
If 26\left(\frac{2^3}{3}\binom{12}{2} + \frac{2^5}{5}\binom{12}{4} + \frac{2^7}{7}\binom{12}{6} + \dots + \frac{2^{13}}{13}\binom{12}{12}\right) = 3^{13} \dots then \alpha is equal
A person has three different bags and four different bo The number of ways, in which he can put these book the bags so that no bag is empty, is:
A new unit ( a ) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of a units if light takes 6 min. 4
Consider the equation H = \frac{x^p c^q E^r}{t^s}, where H = magr field; E = electric field, \epsilon = permittivity, x = dista t = time. The values of p, q, r and s respectively a
A car moving with a speed of 54\text{ km/h} takes a turn of radius 20\text{ m} . A simple pendulum is suspended from the ceiling of the car. Determine the angle made by the string
A gas balloon is going up with a constant velocity of 10\text{ m/s}. When this balloon reached a height of 75\text{ m} , a stone is dropped from it and balloon keeps moving up with
A thin biconvex lens is prepared from the glass (\mu = 1.5) both curved surfaces of which have equal radii of 20\text{ cm} each. Left side surface of the lens is silvered from outs
Two identical bodies, projected with the same speed at two different angles cover the same horizontal range R. If the time of flight of these bodies are 5\text{ s} and 10\text{ s}
A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At time t = 0 the cylinder has a translational velocity v_0 = 49\text{ m/s}, perpendicular to
A liquid of density 600\text{ kg/m}^3 flowing steadily in a tube of varying cross-section. The cross-section at a point A is 1.0\text{ cm}^2 and that at B is 20\text{ mm}^2. Both t
A spherical liquid drop of radius R acquires the terminal velocity v_1 when falls through a gas of viscosity \eta. Now the drop is broken into 64 identical droplets and each drople
One mole of diatomic gas having rotational modes on kept in a cylinder with a piston system. The cross-sec area of the cylinder is 4\text{ cm}^2. The gas is heated slowl raise the
Initial pressure and volume of a monoatomic ideal gas P and V. The change in internal energy of this ga adiabatic expansion to volume V_{final} = 27\text{ V} is _____ .
The frequency of oscillation of a mass m suspended spring is \nu_1. If the length of the spring is cut to half, same mass oscillates with frequency \nu_2. The valu \nu_2/\nu_1 is _
A monochromatic source of light operating at 15 emits 2.5 \times 10^{22}\text{ photons /s}. The region of an elec magnetic spectrum to which the emitted electromagr radiation belon
A current carrying circular loop of radius 2\text{ cm} with normal \hat{n} = \frac{\hat{k}+\hat{i}}{\sqrt{2}} is placed in a magnetic field, \vec{B} = B_0(3\hat{i} + 2\hat{k}). If
A 30\text{ cm} long solenoid has 10 turns per cm and are 5\text{ cm}^2. The current through the solenoid coil varies f 2 A to 4 A in 3.14 s . The e.m.f. induced in the coil is 10^{
Two point charges q_1 = 3\mu\text{C} and q_2 = -4\mu\text{C} are pla at points (2\hat{i} + 3\hat{j} + 3\hat{k}) and (\hat{i} + \hat{j} + \hat{k}) respectiv Force on charge q_2 is _
Light ray incident along a vector \vec{AO}(\vec{AO} = 2\hat{i} - 3\hat{j}) emerges out along vector \vec{OB}(\vec{OB} = C\hat{i} - 4\hat{j}) as shown in the figure below. The value
K_1 and K_2 be the maximum kinetic energies of photo-electrons emitted from a surface of a given material for the light of wavelength \lambda_1 and \lambda_2, respectively. If \lam
Two radioactive substances A and B of mass numbers 200 and 212 respectively, shows spontaneous \alpha-decay with same Q value of 1 MeV . The ratio of energies of \alpha-rays produc
The output Y for the given inputs A and B to the circuit is:
A parallel plate capacitor is having separation between plates 0.885\text{ mm} . It has a capacitance of 1\mu\text{ F} when the space between the plates is filled with an insulatin
Some distant star is to be observed by some telescope of diameter of objective lens a, at an angular resolution of 3.0 \times 10^{-7}\text{ radian}. If the wavelength of light from
A 5\text{ mg} particle carrying a charge of 5\pi \times 10^{-6}\text{C} is m ing with velocity of (3\hat{i} + 2\hat{k}) \times 10^{-2}\text{ m/s} in a re having magnetic field \vec
The stored charge in the capacitor in steady state of following circuit is _____ \mu\text{C}.
Two masses of 3.4\text{ kg} and 2.5\text{ kg} are accelerated from an initial speed of 5\text{ m/s} and 12\text{ m/s}, respectively. The distances traversed by the masses in the 5^
Radius of the first excited state of Helium ion is given as : \text{a}_0 \to radius of first stationary state of hydrogen atom.