JEE Advanced Mi...

A particle performs SHM with a time period T and amplitude 'a'. The magnitude of average velocity of the particle over the time interval during which it travels a distance a/T from the extreme position is :

A simple pendulum 50 cm long is suspended from the roof of a cart accelerating in the horizontal direction with constant acceleration √3 g m/s². The period of small oscillations of the pendulum about its equilibrium position is (g = π² m/s²) :

A particle is subjected to two simple harmonic motions along x and y directions according to, x = 3 sin 100 πt; y = 4 sin 100 πt:

When a wave pulse traveling in a string is reflected from a rigid wall to which string is tied as shown in figure. For this situation two statements are given below:

(1) The reflected pulse will be in same orientation of incident pulse due to a phase change of p radians

(2) During reflection the wall exert a force on string in upward direction For the above given two statements choose the correct option given below:

The equation of displacement due to a sound wave is s = s₀ sin² (ω t - kx). If the bulk modulus of the medium is B, then the equation of pressure variation due to that sound is:

A point source of power 50π watts is producing sound waves of frequency 1875Hz. The velocity of sound is 330m/s, atmospheric pressure is 1.0 x 105 Nm-2, density of air is 1.0 kgm-3. Then pressure amplitude at r =  m from the point source is (using π = 22/7) :

An organ pipe of length L is open at one end and closed at other end. The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are :

A wire having a linear mass density 5.0 ´ 10^-3 kg/m is stretched between two rigid supports with a tension of 450 N. The wire resonates at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 480 Hz. The length of the wire is :

A particle is executing SHM between points -X_m and X_m, as shown in figure-I. The velocity V(t) of the particle is partially graphed and shown in figure-II. Two points A and B corresponding to time t₁ and time t₂ respectively are marked on the V(t) curve :

In a standing wave on a string rigidly fixed at both ends.