Question
Draw areal velocity versus time graph for mars.
✓
Answer
Areal velocity of Mars revolving around the Sun does not change with time according to Kepler’s law, i.e. it is constant with time. Then graph of a real velocity versus time is a straight line parallel to time axis. 
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A man walking briskly in rain with speed v must slant his umbrella forward making an angle $\theta$ with the vertical. A student derives the following relation between $\theta$ and v: $\tan \theta = \text{v}$ and checks that the relation has a correct limit: as $\text{v}\rightarrow 0,\ \theta \rightarrow0,$ as expected. (We are assuming there is no strong wind and that the rain falls vertically for a stationary man). Do you think this relation can be correct? If not, guess the correct relation.
→A concrete slab has a length of 10 m on a winter night when the temperature is $0^{\circ} \mathrm{C}$. Find the length of the slab on a summer day when the temperature is $35^{\circ} \mathrm{C}$. The coefficient of linear expansion of concrete is $1.0 \times 10^{-5^{\circ}} \mathrm{C}^{-1}$.
→At a depth of $\text{1000 m}$ in an ocean $(a)$ what is the absolute pressure? $(b)$ What is the gauge pressure? $(c)$ Find the force acting on the window of area $\text{20 cm} \times \text{20 cm}$ of a submarine at this depth. the interior of which is maintained at sealevel atmospheric pressure. $($ The density of sea water is $1.03 \times 10^3 kg m ^{-3}$, $g=10 m s ^{-2}.)$
→A wheel rotating with uniform angular acceleration covers 50 revolutions in the first five seconds after the start. Find the angular acceleration and the angular velocity at the end of five seconds.
When a photon is emitted from an atom, the atom recoils. The kinetic energy of recoil and the energy of the photon come from the difference in energies between the states involved in the transition. Suppose, a hydrogen atom changes its state from $n = 3$ to $n = 2$. Calculate the fractional change in the wavelength of light emitted, due to the recoil.
→It is a common observation that rain clouds can be at about a kilometre altitude above the ground.
Estimate the order of magnitude force on umbrella. Typical lateral separation between two rain drops is 5cm. (Assume that umbrella is circular and has a diameter of 1m and cloth is not pierced through !!)
Estimate the order of magnitude force on umbrella. Typical lateral separation between two rain drops is 5cm. (Assume that umbrella is circular and has a diameter of 1m and cloth is not pierced through !!)
A hydrogen atom in state $n = 6$ makes two successive transitions and reaches the ground state. In the first transition a photon of $1.13eV$ is emitted. $(a)$ Find the energy of the photon emitted in the second transition $(b)$ What is the value of n in the intermediate state?
→If the horizontal force needed for the turn in the previous problem is to be supplied by the normal force by the road, what should be the proper angle of banking?
A simple pendulum of length lm has a wooden bob of mass $1kg$. It is struck by a bullet of mass $10^{-2}kg$ moving with a speed of $2 \times 10^2m/ sec$. The bullet gets embedded into the bob. Obtain the height to which the bob rises before swinging back.
→A hollow sphere of radius R lies on a smooth horizontal surface. It is pulled by a horizontal force acting tangentially from the highest point. Find the distance travelled by the sphere during the time it makes one full rotation.