Q 1 :

A travelling wave is described by the equation                   

$y(x,t)=[0.05\sin (8x-4t\left)\right]\text{\hspace{0.05em}m}$

The velocity of the wave is [all the quantities are in SI unit]             [2023]

• ${\text{4 ms}}^{-1}$

   

• ${\text{8 ms}}^{-1}$

   

• ${\text{0.5 ms}}^{-1}$

   

• ${\text{2 ms}}^{-1}$

   

Q 2 :

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 the wave is travelling is ______ km/s.          [2023]

Q 3 :

The r.m.s. speed of oxygen molecules at $47°\text{C}$ is equal to that of the hydrogen molecules kept at ______ $°\text{C.}$

(Mass of oxygen molecule / mass of hydrogen molecule = 32/2)     [2026]

• −235

   

• −253

   

• −20

   

• −100