Given that `T^(2) = kR^(3)`, express the constant `k` of the above relation in days and kilometres. Given, `k= 10^(-13)s^(2) m^(-3)`. The Moon is at a distance of `3.84 xx 10^(5) km` from the earth. Obtain its time period of revolution in days.

An ideal gas expands in volume from 1 xx 10^(3) m^(3) at 300 K against a constant pressure of 1 xx 10^(5) N m^(-2) .The work done is

A laser beam has a wavelength of 7 xx 10^(-7) m and aperure 10^(-2)m . The beam is sent to moon at a distance of 4 xx 10^(5) km from earth. Find the angular spread and areal spread of the beam on reaching the moon.

Rate constant of two reactions are given below. Identifying their order of reaction k = 5.3 xx 10^(-2) L mol^(-1) s^(-1) k = 3.8 xx 10^(-4) s^(-1)

How fast (in m^(2) s^(-1)) is area swept out by (a) the radius from sun to earth ? (b) the radius from the sun to earth = 1.496 xx 10^(11) m , Distance of earth to moon = 3.845 xx 10^(8) m and period of revolution of moon = 27 (1)/(3) days.

The time taken by the earth to complete one revolution around the sun is 3.156 xx 10^(7) s . The distance between the earth and the sun is 1.5 xx 10^(11) m. Find the speed of revolution of the earth.

The Earth and Jupiter are two planets of the sun. The orbital radius of the earth is 10^(7)m and that of Jupiter is 4 xx 10^(7)m If the time period of revolution of earth is T = 365 days find time period of revolution of the Jupiter .

According to kepler's law of periods, T^(2) = k r^(3) , where k is a constant. Compute the constant k for (a) the earth and (b) the venus. Given that orbital radii of the earth and the venus are 1.496 xx 10^(11) m and 1.082 xx 10^(11) m , and their respective periods are 1 year and 0.615 year.

Find the accelerationof the moonwith respect to the eath from the following data, Distance between the earth and the moon =3.85xx10^5 km and the time taken by the moon to complete one revolution aroudn the earth =27.3days

If the mass of earth were 2 times the present mass, the mass of the moon were half the present mass and the moon were revolving round the earth at the same present distance, the time period of revolution of the moon would be (in day)