MHT CET202210 Aug 2022Morning ShiftPhysicsWaves and SoundActual

The fundamental frequency of a wire stretched by 2 kgwt is 100 ~Hz . The weight required to produce its octave is

Options

A12 kgwt
B8 kgwt
C4 kgwt
D16 kgwt

Correct answer

B. 8 kgwt

Step-by-step solution

Octave means the new frequency is 2 n The velocity of sound is proportional to the square-root of the tension in the wire. The frequency is directly proportional to the velocity of sound in the wire: aligned & n T & n₂ n₁ = T₂ T₁ & T₂=T₁ [ n₂^2 n₁^2 ]=4 T₁=8 kgwt aligned

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

Resonance is produced between a turning fork and a resonance column tube with upper end open and lower end closed by water surface. If the frequency of the tuning fork is 800Hz, an 2026 The speed of transverse wave in aluminium wire is 1 10 times the speed of longitudinal wave in the wire. The stress in the wire is (Young's Modulus of Al = 10¹⁰ Pa) 2026 A source of frequency gives 6 beats/second when sounded with a source of frequency 200 Hz. The second Harmonic of frequency 2 of the source gives 8 beats/second when sounded with a 2026 A sound wave of frequency 500 Hz travels between two points X and Y separated by a distance of 600 m in a time of 2 s. The number of waves between the points X and Y are 2025 When both source of sound and observer approach each other with a speed equal to 10 % of the speed of sound, then the percentage change in frequency heard by the observer is nearly 2025 The equation of a transverse wave propagating along a stretched string of length 80 cm is y =1.5 (5 10⁻³ x )+20 t , here ' x ' and ' y ' are in cm and the time ' t ' is in second. 2025 If a travelling wave is given by y(x, t)=0.5 (70.1 x-10 t) , where x and y are in metre, the time t is in second, then the frequency of the wave is 2025 In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectively 2025 Full Waves and Sound list All MHT CET PYQs