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Physics · GRAVITATION
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Physics · GRAVITATION
Consider the following statements regarding the Cavendish experiment for determining the gravitational constant \( G \): (A) It utilizes two small lead spheres attached at the ends of a light bar suspended by a fine wire. (B) Two large lead spheres are brought close to the small spheres from opposite sides to produce a net translational force. (C) The gravitational torque is balanced by the restoring torque of the twisted wire. (D) The value of \( G \) determined experimentally is approximately \( 6.67 \times 10^{-11} \text{ N m}^2/\text{kg}^2 \). How many of the above statements are correct?
Read answer →Physics · GRAVITATION
If the acceleration due to gravity on the Moon is \( \frac{1}{6} \) of that on Earth and the radius of the Moon is \( \frac{1}{4} \) of the Earth's radius, then the ratio of the escape speed on the Earth to that on the Moon is:
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If \( \mathbf{r}_1 \) and \( \mathbf{r}_2 \) are the position vectors of two point masses \( m_1 \) and \( m_2 \) respectively, and \( \mathbf{r} = \mathbf{r}_2 - \mathbf{r}_1 \), then in vector notation, the gravitational force \( \mathbf{F}_{12} \) exerted on \( m_1 \) by \( m_2 \) is correctly given by:
Read answer →Physics · GRAVITATION
A satellite is revolving in a circular orbit around the Earth. If its orbital radius increases by \( 2\% \), the percentage increase in its orbital time period is approximately:
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As one moves along a straight path from the centre of the Earth (treated as a uniform solid sphere) out to infinity, the acceleration due to gravity:
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Four identical particles, each of mass \( m \), are placed at the vertices of a square of side \( l \). The gravitational potential at the centre of the square is:
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The Martian orbit around the Sun has a radius \( 1.52 \) times the orbital radius of the Earth. What is the length of the Martian year in Earth days?
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Given below are two statements: Statement I: The escape speed of a body from the surface of Earth depends on the angle at which it is projected relative to the horizontal. Statement II: The escape speed from the surface of the Earth is given by \( V_{\text{min}} = \sqrt{2gR_E} \). In the light of the above statements, choose the most appropriate answer from the options given below:
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In the shown figure representing Kepler's second law, a planet moves from point \( P \) to \( P' \) in time interval \( \Delta t \), sweeping an area \( \Delta A \). Which of the following vectors is strictly parallel to the position vector \( \mathbf{r} \) of the planet relative to the Sun \( S \)?
Read answer →Physics · GRAVITATION
