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A wave in a string has an amplitude of $2 \text{ cm}$. The wave travels in the positive direction of the x-axis with a speed of $128 \text{ m/s}$ and it is noted that $5$ complete waves fit in the $4 \text{ m}$ length of the string. The equation describing the wave is:
The major product (P) formed in the following reaction sequence is: [Reaction Scheme Missing]
The energy of the EM wave is of the order of $15 \text{ keV}$. To which part of the spectrum does it belong?
A parallel plate capacitor of capacitance 20 μF is being charged by a voltage source whose potential is changing at the rate of 3 V/s. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor would be, respectively:
The ratio of the amplitude of the magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to:
A beam of light of $600\text{ nm}$ from a distant source falls on a single slit $1\text{ mm}$ wide and the resulting diffraction pattern is observed on a screen $2\text{ m}$ away. The distance between first dark fringes on either side of the central bright fringe is
Identify the correct order of the size of the following species: Ca²⁺, K⁺, Ar, S²⁻, Cl⁻
The decreasing order of the wavelength of infrared, microwave, ultraviolet and gamma rays is:
The electric field of an electromagnetic wave in free space is given by $\vec{E} = 10 \cos(10^7 t + kx) \hat{j}$ V/m, where $t$ and $x$ are in seconds and meters respectively. It can be inferred that: (1) The wavelength $\lambda$ is $188.4 \text{ m}$. (2) The wave number $k$ is $0.33 \text{ rad/m}$. (3) The wave amplitude is $10 \text{ V/m}$. (4) The wave is propagating along $+x$ direction. Which one of the following pairs of statements is correct?
The electric and the magnetic field, associated with an electromagnetic wave, propagating along the $+z$-axis, can be represented by:
In Young's double-slit experiment, a student observes 8 fringes in a certain segment of the screen when a monochromatic light of 600 nm wavelength is used. If the wavelength of light is changed to 400 nm, then the number of fringes he would observe in the same region of the screen is:
Unit of energy in SI system is
Identify the product in the following reaction:
A parallel plate capacitor is charged by connecting it to a battery through a resistor. If $i$ is the current in the circuit, then in the gap between the plates:
Light with an energy flux of $25 \times 10^4 \text{ W m}^{-2}$ falls on a perfectly reflecting surface at normal incidence. If the surface area is $15 \text{ cm}^2$, the average force exerted on the surface is:
The length of the string of a musical instrument is $90\text{ cm}$ and has a fundamental frequency of $120\text{ Hz}$. Where should it be pressed to produce a fundamental frequency of $180\text{ Hz}$?
If an unpolarised light is incident on a plane surface of refractive index √3 at Brewster's angle, then the angle of refraction is:
If the unit of length and force be increased four times, then the unit of energy is:
Henry/ohm can be expressed in:
A black body is at $727^\circ\text{C}$. The rate at which it emits energy is proportional to: