Physics

Two waves are simultaneously passing through a string and their equations are:

$y_1=A_{1}sink\left(x-vt\right),y_2=A_{2}sink\left(x-vt+x_0\right).$ Given amplitudes A₁ = 12mm and A₂ = 5mm, x₀ = 3.5 cm and wave number k = 6.28 cm^-1. The amplitude of resulting wave will be________mm.

A coil in the shape of an equilateral triangle of side 10cm lies in a vertical plane between the pole pieces of permanent magnet producing a horizontal magnetic field 20mT. The troque acting on the coil when a current of 0.2A is passes through it and its plane becomes parallel to the magnetic field will be $\sqrt[]{x}*10^{-5}$ Nm. The value of x is_________.

Two travelling waves produces a standing wave represented by equation, y = 1.0 mm cos(1.57cm^-1)x sin(78.5s^-1)t. The node closest to the origin in the region x > 0 will be at x = ____________cm.

A circular coil of radius 8.0cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s^-1 in a uniform horizontal magnetic field at 3.0 * 10^-2 T. The maximum emf induced in the coil will be________* 10^-2 volt (rounded off to the nearest integer).

An amplitude modulated wave is represented by   $C_m\left(t\right)=10\left(1+0.2cos12560t\right)sin\left(111*10^{4}t\right)volts.$

The modulating frequency in kHz will be……. .

Does inertia only apply to objects at rest, based on the First Law of Motion?

The electric field in a plane electromagnetic wave is given by

$\overrightarrow{E}=200cos\left[\left(\frac{0.5*10^3}{m}\right)x\left(1.5*10^{11}\frac{rad}{s}*t\right)\right]\frac{V}{m}\widehat{j}$

If this wave falls normally on a perfectly reflecting surface having an area of 100 cm². If the radiation pressure exerted by the E.M. wave on the surface during a 10 minute exposure is $\frac{x}{10^9}\frac{N}{m^2}.$   Find the value of x

Two simple harmonic motions are represented by the equations x₁ = 5 $sin\left(2\pi t+\frac{\pi }{4}\right)$  and $x_2=5\sqrt[]{2}\left(sin2\pi t+cos2\pi t\right).$  The amplitude of second motion is________ times the amplitude in first motion.

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s²)

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8cm as shown in the figure. Image of object. When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be________ (cm).