List of top Questions asked in VITEEE

Which of the following complex will show fac & mer isomerism?

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is \( 4/3 \) and the fish is 12 cm below the surface, the radius of this circle (in cm) is

A metal ball of mass 2 kg moving with a velocity of 36 km/h has a head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is

Two lenses of focal length \( f_1 = 10 \, \text{cm} \) and \( f_2 = -20 \, \text{cm} \) are kept as shown. The resultant power of combination will be

When a plastic thin film of refractive index 1.45 is placed in the path of one of the interfering waves then the central fringe is displaced through width of five fringes. The thickness of the film, if the wavelength of light is \( 5890 \, \text{Å} \), will be

An unpolarised beam of intensity \( I_0 \) is incident on a pair of nicols making an angle of \( 60^\circ \) with each other. The intensity of light emerging from the pair is

The half-life of radioactive Radon is 3.8 days. The time at the end of which \( \frac{1}{20} \)th of the radon sample will remain undecayed is given (using \( \log_e = 0.4343 \))

If the nuclear radius of \( ^{27}Al \) is 3.6 Fermi, the approximate nuclear radius of \( ^{64}Cu \) in Fermi is

A current \( I \) flows in the anticlockwise direction through a square loop of side \( a \) lying in the \( xoy \)-plane with its center at the origin. The magnetic induction at the center of the square loop is given by

A particle of charge \( q \) and mass \( m \) moves in a circular orbit of radius \( r \) with angular speed \( \omega \). The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

A long straight wire of radius \( R \) carries current \( i \). The magnetic field inside the wire at distance \( r \) from its centre is expressed as:

If \( i_1 = 3 \sin(\omega t) \) and \( i_2 = 4 \cos(\omega t) \), then \( i_3 \) is

The equation of AC voltage is \( E = 220 \sin(\omega t + \frac{\pi}{6}) \) and the AC current is \( I = 10 \sin(\omega t + \frac{\pi}{6}) \). The average power dissipated is

The current in an \( L-R \) circuit builds up to \( 3/4 \) of its steady state value in 4 seconds. The time constant of this circuit is

The magnetic flux in a closed circuit of resistance \(10 \, \Omega\) varies with time as \( \phi = (2t - 4t^2 + 1) \). The current in the loop will change its direction after a time of

Let the energy of an emitted photoelectron be \( E \) and the wavelength of incident light be \( \lambda_0 \). What will be the change in \( E \) if \( \lambda_0 \) is doubled?

A solid sphere of radius \( R \) carries a uniform volume charge density \( \rho \). The magnitude of electric field inside the sphere at a distance \( r \) from the centre is

Two point dipoles \( \mathbf{p_k} \) and \( \mathbf{L_k} \) are located at \( (0,0,0) \) and \( (1m, 0, 2m) \) respectively. The resultant electric field due to the two dipoles at the point \( (1m, 0, 0) \) is

An iron rod of length 2m and cross-sectional area of 50mm² stretched by 0.5mm, when a mass of 250 kg is hung from its lower end. Young’s modulus of iron rod is

Two resistances equal at \( 0^\circ \, \text{C} \) with temperature coefficient of resistance \( \alpha_1 \) and \( \alpha_2 \) joined in series

Current density varies with radial distance \( r \) as \( J = a r^2 \), in a cylindrical wire of radius \( R \). The current passing through the wire between radial distance \( R/3 \) and \( R/2 \) is

A potentiometer circuit shown in the figure is set up to measure emf of cell E. As the point P moves from X to Y, the galvanometer G shows deflection always in one direction, but the deflection decreases continuously until Y is reached. The balance point between X and Y may be obtained by

Two solenoids are given – 1st has 1 turn per unit length and 2nd has \(n\) turns per unit length. Ratio of magnetic fields at their centres is

Which statement is correct for the given circuit?

A positively charged particle is placed near an infinitely long straight conductor where there is zero gravity. Then