Two tunnels are dug across the earth as shown in figure. Two particles `P_(1)` and `P_(2)` are oscillating from one end to the other of tunnel `T_(1)` and `T_(2)` respectively. At some instant particles are at position shown in figure. Then

Two tunnels - T_(1) " and " T_(2) are dug across the earth as shown in figure. One end of the two tunnels have a common meeting point on the surface of the earth. Two particles P_(1) " and " P_(2) are oscillating from one end to the other end of the tunnels. At some instant particles are at mid point of their tunnels as shown in figure. Then - (a) Write phase difference between the particle P_(1) " and " P_(2) . Can the two particles ever meet? (b) Write the ratio of maximum velocity of particle P_(1) " and " P_(2) .

Period of small oscillations in the two cases shown in figure is T_(1) and T_(2) respectively . Assume fluid does not have any viscosity , then

Period of small oscillations in the two cases shown in figure is T_(1) and T_(2) respectively . Assume fluid does not have any viscosity , then

The position-time graph for two particles P and Q moving on x-axis is shown in the figure. Then

The position-time graph for two particles P and Q moving on x-axis is shown in the figure. Then

Two identical vessels contain the same gas at pressure P_(1) and P_(2) at absolute temperature T_(1) and T_(2) , respectively. On joining the vessels with a small tube as shown in the figure. The gas reaches a common temperature T and a common pressure P. Determine the ratio P//T

A mass is suspended separately by two springs of spring constants k_(1) and k_(2) in successive order. The time periods of oscillations in the two cases are T_(1) and T_(2) respectively. If the same mass be suspended by connecting the two springs in parallel, (as shown in figure) then the time period of oscillations is T. The correct relations is

A mass is suspended separately by two springs of spring constants k_(1) and k_(2) in successive order. The time periods of oscillations in the two cases are T_(1) and T_(2) respectively. If the same mass be suspended by connecting the two springs in parallel, (as shown in figure) then the time period of oscillations is T. The correct relations is

Two particles P and Q are moving as shown in the figure. At this moment of time the angular speed of P w.r.t. Q is

Two particles P and Q are moving as shown in the figure. At this moment of time the angular speed of P w.r.t. Q is