Consider the following pairs: \(1\). Mercury: Jovian plant \(2\). Venus: Duration of day longer than that of year \(3\). Satum: A planet having density less than that of water Which of the pairs given is/are correctly matched?
(A) \(1\) only (B) \(2\) and \(3\) only (C) \(1\) and \(3\) only (D) \(1, 2\) and \(3\)
Answer
Answer: B Mercury is not a Jovian planet but inner or terrestrial planet. Jovian means Jupiter- like(the largest planet of the solar system), with an equatorial diameter of just48754875km, Mercury is the smallest planet of the solar system. Venus has rotation period of243243days(duration of day) and revolution period around the sun of224.4224.4days(duration of the year). Thus the planet Venus has duration of day longer than that of year. Saturn has density of0.690.69which is less than the of water(1.0)(1.0).
Two points masses of mass \(4m\) and \(m\) respectively separated by distance \(r\), are revolved under mutual force of attraction. Ratio of their kinetic energies will be (A) \(1 : 4\) (B) \(1 : 5\) (C) \(1 : 1\) (D) \(1 : 2\)
A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance ? (in km/hr)
The product of all real values of x satisfying the equation \(\sin^{-1}\cos \left ( \dfrac{2x^{2}+10\left | x \right |+4}{x^{2}+5\left | x \right |+3} \right )=\cot \left ( \cot ^{-1}\left ( \dfrac{2-18\left | x \right |}{9\left | x \right |} \right ) \right )+\dfrac{\pi }{2}\) is
The projections of the line segment joining points P(-1, 2, 3) and Q(1, 0, 4) on a line inclined equal acute angles with the coordinates axis is (A) \(-\dfrac{1}{{\sqrt 3 }}\) (B) \(\sqrt 3 \) (C) \(\dfrac{1}{3}\) (D) \(\dfrac{1}{{\sqrt 2 }}\)