List of top Physics Questions on Wave characteristics asked in MET

Two pendulums of time periods \(3\,s\) and \(7\,s\), respectively, start oscillating simultaneously from opposite extreme positions. After how much time will they be in same phase?

A function of time is represented as follows \( \sin \omega t + \cos 2\omega t + \sin 4\omega t \). The motion represented by it is:

The time period of a mass suspended from a spring is \( T \). If the spring is cut into three equal parts and connected in parallel. The same mass is suspended from these parallel springs, then the new time period of the mass will be

A heavy uniform rope hangs vertically from the ceiling, with its lower end free. A disturbance on the rope travelling upwards from the lower end has a velocity \(v\) at a distance \(x\) from the lower end such that :

A mass \(M\) is attached to a string, oscillates with a period of 2 s. If the mass is increased by 4 kg, the time period increases by 1 s. Assuming Hooke's law is obeyed, the initial mass \(M\) was:

A wave travelling in a stretched string is described by the equation \( y = A\sin(kx - \omega t) \). The maximum particle velocity is :

The displacement \(y\) in centimetre is given in terms of time \(t\) second by the equation \[ y = 3\sin 314t + 4\cos 314t \] The amplitude of SHM is :

Time period of oscillation of mass \(m\) suspended from a spring is \(T\). What is the time period when the spring is cut in half and the same mass is suspended from one of the halves?

A mass \( m \) hanging from a spring is doing simple harmonic motion with frequency \( f \). If the mass is increased by 4 times, then frequency will be:

A particle, doing simple harmonic motion, at a distance \(3\,cm\) from mean position has acceleration \(12\,cm/s^2\). What is its time period?

In which of the following, \( NH_{3} \) is not used?

\( \{ x \in \mathbb{R} : \frac{2x - 1}{x^{3} + 4x^{2} + 3x} \in \mathbb{R} \} \) equals

A bivalent metal has an equivalent mass of 32. The molecular mass of the metal nitrate is

The best method for the conversion of an alcohol into an alkyl chloride is by treating the alcohol with

The electrophile involved in the sulphonation of benzene is

The frequency of a light wave in a material is \( 2 \times 10^{14} \,\text{Hz} \) and wavelength is \( 5000 \,\text{\AA} \). The refractive index of material is:

A source of frequency 500 Hz emits waves of wavelength 0.4 m. How long does it take the wave to travel 600 m?

Which of the following is a longitudinal wave?

The displacement of a particle is given by $x = 3 \sin(5\pi t) + 4 \cos(5\pi t)$. The amplitude of particle is:

Comparing $y = a \sin(\omega t - kx)$ with $y = 0.1 \sin(100\pi t - kx)$, the angular velocity $\omega$ is: