List of top Questions asked in Assam Combined Entrance Examination

A transverse wave is described by the equation \( y = A \sin \left( 2 \pi \left( \frac{r}{\lambda} - \frac{t}{T} \right) \right) \). The maximum particle velocity is equal to four times the wave velocity if:
A series R-C combination is connected to an AC voltage of angular frequency \( \omega = 1000 \) rad/s. If the impedance of the RC circuit is \( R/\sqrt{2} \), the time constant (in milliseconds) of the circuit is:
A block of mass 300 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force \( F = \sqrt{a} \, N \) as shown in the figure. The value of \( a \) is (Take \( g = 10 \, \text{m/s}^2 \)):
A piece of copper and another of germanium are cooled from room temperature to 100K. The resistance of