Physics Test - ...

The electric and magnetic fields in electromagnetic waves are:

A reflecting surface is represented by the equation \({y}=\frac{2 {~L}}{\pi} \sin \left(\frac{\pi {x}}{{L}}\right), 0 \leq {x} \leq {L}\). A ray travelling horizontal becomes vertical after reflection. The co-ordinates of the point \((\mathrm{s})\) on which this ray is incident.

An electromagnetic wave has a frequency

\(v=\frac{6}{\pi} \times 10^{10} \mathrm{Hz}\)

It is propagating in space along positive 'x' direction. Then acceptable form of magnetic field associated with it is-

Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct answer(s) from the choices given below.

The potential energy function of a particle moving in one dimension is \(U=k\left[x-\frac{x^{3}}{3 a^{2}}\right],\) where \(a\) and \(k\) are constants. Then,

In a series ‘LCR’ circuit resistance is 60Ω and it has resonant frequency 2000 radian/second. At resonance, the voltage across resistance and inductor is 30 volt and 20 volt respectively. Capacitance of capacitor in the RLC circuit is—

A capacitor and an inductor is connected in series with an ac source in a circuit. If the capacitance of the capacitor is \(18 \mu {F}\) and the inductance of the inductor is \(8 {H}\) then find the resonance frequency of the circuit.

A battery of ‘V’ volt is connected to a capacitor of capacitance ‘C’ µF. After steady state is reached, battery is disconnected and another battery of 2V is connected to the capacitor but with reversed polarity. Amount of heat produced after the connection of second battery is–

Two identical wires 'A' and 'B' each of length ' carry the same current

I. Wire A is bent into a semi-circle of radius 'R' and wire B is bent to form a square of side 'a'. If \(\mathrm{B}_{\mathrm{A}}\) and \(\mathrm{B}_{\mathrm{B}}\) are the values of magnetic field at the centers of the semi-circle and square respectively, then the relation between \(\mathrm{B}_{\mathrm{A}}\) and \(\mathrm{B}_{\mathrm{B}}\) is-

A long current carrying wire, carrying current I₁ such that I₁ is flowing out form the plane of paper is placed at O. A steady state current I₂ is flowing in the loop ABCD

Choose the correct option(s).

A charged particle having a positive charge q approaches a grounded metallic neutral sphere of radius R with constant speed v, as shown in the figure. Which of the following alternatives is/are correct?

In a young’s double-slit experiment when a glass plate of refractive index \(1.75\) is introduced in the path of one of the light beams, the fringes are displaced by a distance ‘\(x\)’. When this plate is replaced by another plate of the same thickness, the shift of fringes is \(\frac{2}{3} x\). What is the refractive index of the second plate?

One (10 W, 60 Volt) bulb is to be connected to 100 V A.C line. The required induction coil has self-inductance of value (f=50 Hz):

Two bulb of power rating 200W, 200V and 400W, 200V are connected in series across a battery of emf 100 volt. Current in each bulb is–

A convex lens of focal length 20 cm is placed at a distance 10 cm from a glass plate (μ = 3/2) of thickness 3 cm. An object is placed at a distance 40 cm in front of lens, the image of this object from the glass plate will be formed at a distance of—