IIT-JEE 2005 Mains

A small body attached to one end of a vertically hanging spring is performing SHM about its mean position with angular frequency \(\omega\) and amplitude \(a\). If at a height \(y^{\prime}\) from the mean position, the body gets detached fr...

The side of a cube is measured by vernier
callipers (10 divisions of a vernier scale
coincide with 9 divisions of main scale,
where 1 division of main scale is 1 mm). The
main scale reads 10 mm and first division of
vernier scale coinc...

A whistling train approaches a junction. An
observer standing at the junction observes
the frequency to be 2.2 kHz and 1.8 kHz
of the approaching and the receding train.
Find the speed of the train (speed of sound
= 300 m/s).

A transverse harmonic disturbance is
produced in a string. The maximum
transverse velocity is 3 m/s and the maximum
transverse acceleration is 90 m/s\(^2\)
. If the wave velocity is 20 m/s, then find the waveform.