Wave Motion Basics: JEE Questions & Solutions

Two strings (A, B) having linear densities μ_A = 2 × 10⁻⁴ kg/m and, μ_B = 4 × 10⁻⁴ kg/m and lengths L_A = 2.5 m and L_B = 1.5 m…

The velocity of sound in air is doubled when the temperature is raised from 0^° C to a^° C. The value of a is.

The equation of a transverse wave travelling along a string is y(x, t) = 4.0 sin ( 20 × 10⁻³ x + 600t) mm, where x is in mm and t is in…

Given below are two statements: one is labelled as Assertion A and the other as Reason R: Assertion A: A sound wave has higher speed in…

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at x = 0 at t = 0 sec…

Consider the sound wave travelling in ideal gases of He, CH₄, and CO₂. All the gases have the same ratio P/ρ, where P is the pressure and ρ…

Displacement of a wave is expressed as x(t) = 5 cos ( 628t + π/2) m. The wavelength of the wave when its velocity is 300 m/s is:

The equation of a wave travelling on a string is y = sin[20π x + 10π t], where x and t are distance and time in SI units. The minimum…

Two strings with circular cross section and made of same material are stretched to have same amount of tension. A transverse wave is then…

A travelling wave is described by the equation: y(x, t) = 0.05 sin(8x - 4t) m. The velocity of the wave is: (All quantities are in SI…

The distance between two consecutive points with phase difference of 60^° in a wave of frequency 500 Hz is 6.0 m. The velocity with which…

A steel wire with mass per unit length 7.0 × 10⁻³ kg m⁻¹ is under tension of 70 N. The speed of transverse waves in the wire will be:

A transverse harmonic wave on a string is given by y(x, t) = 5 sin(6t + 0.003x), where x and y are in cm and t in seconds. The wave…

The equation of wave is given by Y = 10⁻² sin 2π ( 160t - 0.5x + π/4) where x and Y are in m and t in s. The speed of the wave is km h⁻¹.