VITEEE 2021

The alternating current in a circuit is given by \(I=50 \sin 314 t\). The peak value and frequency of the current are

If the alternating current \(I=I_1 \cos \omega t+ I_2 \sin \omega t\) then the rms current is given by

A \(50 \mathrm{~Hz}\) \(\mathrm{AC}\) signal is applied in a circuit of inductance of \((1 / \pi) \mathrm{H}\) and resistance \(2100 \Omega\). The impedance offered by the circuit is

The Rutherford scattering experiment proves that an atom consists of

Polonium has a half-life of 140 days. If we take \(20 \mathrm{~g}\) of polonium initially then the amount of it that remains after 280 days is

According to Bohr model of hydrogen atom, only those orbits are permissible which satisfy the condition

A parallel plate capacitor of capacitance \(5 \mu \mathrm{F}\) is charged to \(120 \mathrm{~V}\) and then connected to another uncharged capacitor. If the potential falls to \(40 \mathrm{~V}\), and capacitance of the second capacitor is

Two identical capacitors are first connected in series and then in parallel. The ratio of equivalent capacitance is

The demodulator or detector circuit consists of a

A silver wire of radius \(0.1 \mathrm{~cm}\) carries a current of \(2 \mathrm{~A}\). If the charge density in silver is \(5.86 \times 10^{28} \mathrm{~m}^{-3}\), the drift velocity is

24 cells of emf \(1.5 \mathrm{~V}\) each having internal resistance of \(1 \mathrm{~ohm}\) are connected to an external resistance of \(1.5 \mathrm{~ohms}\). To get maximum current

An electron revolves in a circle at the rate of \(10^{19}\) rounds per second. The equivalent current is \(\left(e=1.6 \times 10^{-19} \mathrm{C}\right)\)

The temperature coefficient of the resistance of a wire is 0.00125 per \({ }^{\circ} \mathrm{C}\). At \(300 \mathrm{~K}\) its resistance is \(1 \Omega\). The resistance of wire will be \(2 \Omega\) at

Einstein's photoelectric equation is

The Young's modulus of a rope of \(10 \mathrm{~m}\) length and having diameter of \(2 \mathrm{~cm}\) is \(200 \times 10^{11} \mathrm{~dyne} / \mathrm{cm}^2\). If the elongation produced in the rope is \(1 \mathrm{~cm}\), the force applied o...

The induced emf in a coil of \(10 \mathrm{H}\) inductance in which current varies from \(9 \mathrm{~A}\) to \(4 \mathrm{~A}\) in \(0.2 \mathrm{~s}\) is

A conductor of length \(5 \mathrm{~cm}\) is moved parallel to itself with a speed of \(2 \mathrm{~m} / \mathrm{s}\), perpendicular to a uniform magnetic field of \(10^{-3} \mathrm{~Wb} / \mathrm{m}^3\). The induced e.m.f. generated is

Which component of electromagnetic spectrum have maximum wavelength?

The net electric force on a charge of \(+3 \mu \mathrm{C}\) at the mid-point on the line joining two charges of magnitude \(+2 \mu \mathrm{C}\) and \(-2 \mu \mathrm{C}\) separated by the distance of \(6 \mathrm{~mm}\), is

An electric charge does not have which of the following properties?

A hollow sphere of radius \(0.1 \mathrm{~m}\) has a charge of \(5 \times 10^{-8} \mathrm{C}\). The potential at a distance of 5 \(\mathrm{cm}\) from the centre of the sphere is $$\left(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}...

The zeroth law of thermodynamics for three systems \(A, B\) and \(C\) in contact demands that

The efficiency of a Carnot engine kept at the temperatures of \(27^{\circ} \mathrm{C}\) and \(127^{\circ} \mathrm{C}\) is

According to equipartition law of energy each particle in a system of particles have thermal energy \(E\) equal to

The velocity of sound in a gas is \(1300 \mathrm{~m} / \mathrm{s}\) at STP and specific heat at constant pressure is \(6.84 \mathrm{~cal} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\). The rms velocity at STP is $$(R=1.98 \mathrm{~cal} \mathrm{~K}^...

A bar magnet of pole strength \(10 \mathrm{~Am}\) is cut into two equal parts breadthwise. The pole strength of each magnet is

The horizontal and vertical components of earth's magnetic field at a place are \(0.3 \mathrm{G}\) and \(0.52 \mathrm{G}\). The earth's magnetic field and the angle of dip are

Two straight wires each \(10 \mathrm{~cm}\) long are parallel to one another and separated by \(2 \mathrm{~cm}\). When the current flowing in them is \(30 \mathrm{~A}\) and \(40 \mathrm{~A}\) respectively, the force experienced by either of...

The magnetic field at a point on the axis of a long solenoid having 5 turns per \(\mathrm{cm}\) length when a current of \(0.8 \mathrm{~A}\) flows through it is

A long straight wire is carrying a current of \(12 \mathrm{~A}\). The magnetic field at a distance of \(8 \mathrm{~cm}\) is \(\left(\mu_0=4 \pi \times 10^{-7} \mathrm{~N} / \mathrm{A}^2\right)\)

An object is \(8 \mathrm{~cm}\) high. It is desired to form a real image \(4 \mathrm{~cm}\) high at \(60 \mathrm{~cm}\) from the mirror. The type of mirror needed with the focal length is

When an object is placed \(40 \mathrm{~cm}\) from a diverging lens, its virtual image is formed \(20 \mathrm{~cm}\) from the lens. The focal length and power of lens are

A person has a minimum distance of distinct vision as \(50 \mathrm{~cm}\). The power of lenses required to read a book at a distance of \(25 \mathrm{~cm}\) is

Based on the band theory of conductors, insulators and semi-conductors, the forbidden gap is smallest in

Which of the following logic gates are also known as the Universal gates?

If two slits in Young's experiment are \(0.4 \mathrm{~mm}\) apart and fringe width on a screen \(200 \mathrm{~cm}\) away is \(2 \mathrm{~mm}\) the wavelength of light illuminating the slits is

The distance of moon form the earth is \(3.8 \times 10^5 \mathrm{~km}\). Supposing that the eye is most sensitive to the light of wavelength \(550 \mathrm{~nm}\), the separation of two points on the moon that can be resolved by a $$500 \mat...

Unpolarised light falls on two polarising sheets placed one on top of other. If the intensity of transmitted light is one fourth of the incident light, the angle between them is

The Brewster's law is given by the expression

The power \((P)\) of an engine lifting a mass of \(100 \mathrm{~kg}\) upto a height of \(10 \mathrm{~m}\) in \(1 \mathrm{~min}\) is