Theory Of Machine - Study Mode
[#236] The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is
Correct Answer
(B) $$frac{{{ ext{k}}_{ ext{G}}^2 + {{ ext{h}}^2}}}{{ ext{h}}}$$
[#237] The frequency of oscillation of a compound pendulum is
Correct Answer
(C) $$frac{1}{{2pi }}sqrt {frac{{{ ext{gh}}}}{{{ ext{k}}_{ ext{G}}^2 + {{ ext{h}}^2}}}} $$
[#238] The minimum periodic time of a compound pendulum is
Correct Answer
(D) $$2pi sqrt {frac{{{ ext{2}}{{ ext{k}}_{ ext{G}}}}}{{ ext{g}}}} $$
[#239] The behaviour of gases can be fully determined by
Correct Answer
(D) 4 laws
Explanation
Solution: The behavior of gases can be comprehensively determined by 4 fundamental laws : Boyle's Law – Relates pressure and volume at constant temperature. Charles's Law – Relates volume and temperature at constant pressure. Gay-Lussac's Law – Relates pressure and temperature at constant volume. Avogadro's Law – States that the volume of a gas is directly proportional to the number of moles of the gas at constant temperature and pressure. Together, these four laws provide a complete description of gas behavior under various conditions.
[#240] An engine operates between temperatures of 900K and T 1 and another engine between T 2 and 400K. For both to do equal work, value of T 2 will be
Correct Answer
(A) 650K