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Why is there no lunar eclipse and solar eclipse every month?
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How will you prove that Earth itself is spinning?
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Derive the expression for the moment of inertia of a uniform ring about an axis passing through the centre and perpendicular to the plane.
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Derive the expression for the moment of inertia of a uniform disc about an axis passing through the centre and perpendicular to the plane.
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State and prove parallel axis theorem.
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State and prove perpendicular axis theorem.
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A uniform rod of mass m and length l makes a constant angle θ with an axis of rotation that passes through one end of the rod. Find the moment of inertia about this axis.
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Find the moment of inertia of a hydrogen molecule about an axis passing through its centre of mass and perpendicular to the inter-atomic axis. Given: mass of hydrogen atom 1.7 × 10-27 kg and interatomic distance is equal to 4 × 10-10 m.
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Explain in detail the idea of weightlessness using the lift as an example.
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Derive an expression for escape speed.
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Derive the time period of the satellite orbiting the Earth.
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Derive an expression for the energy of satellite.
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Explain in detail the geostationary and polar satellites.
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In the following, what are the quantities which that are conserved?
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If the Earth has no tilt, what happens to the seasons of the Earth?
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An unknown planet orbits the Sun with a distance twice the semi-major axis distance of the Earth’s orbit. If the Earth’s time period is T1, what is the time period of this unknown planet?
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Four particles, each of mass M and equidistant from each other, move along a circle of radius R under the action of their mutual gravitational attraction. Calculate the speed of each particle.
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A small sphere of radius 2 cm falls from rest in a viscous liquid. Heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal velocity is proportional to
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With an increase in temperature, the viscosity of liquid and gas, respectively will __________.
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