Q. The graph between the square of the time period and cube of the distance of the planet from the sun is

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A

B

C

D

Solution:

According to kepler's third law $T^{2}∝r^{3};$ At $r=0,T=0$ . It shows that the graph between $T^{2}$ and $r^{3}$ is a straight line passing through origin

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2. An ideal gas at $27 \, ^\circ C$ is compressed adiabatically to $8/27$ of its original volume. If $\gamma =5/3$ , then the rise in temperature is

3. Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?

4. Two perfectly elastic objects $A$ and $B$ of identical mass are moving with velocities $15 \, m \, s^{- 1}$ and $10 \, m \, s^{- 1}$ respectively, collide along the direction of line joining them. Their velocities after the collision are respectively

5. The force of repulsion between two point charges is $F$ , when these are at distance $0.5 \, m$ apart. Now the point charges are replaced by non conducting spheres of radii $5 \, cm$ each having the same charge as that of the respective point charges. The distance between their centres is again kept $0.5m.$ Then the force of repulsion will

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