Q. 94.8( 4 Votes )
Which of the following options are correct?
A. Acceleration due to gravity decreases with increasing altitude.
B. Acceleration due to gravity increases with increasing depth (assume the earth to be a sphere of uniform density).
C. Acceleration due to gravity increases with increasing latitude.
D. Acceleration due to gravity is independent of the mass of the earth.
When a particle is placed on the surface of the earth, then the acceleration due to gravity is given by
Now when the particle is at a height h form the surface then new acceleration becomes
From eqn. (i) and (ii)
Therefore, acceleration due to gravity decreases with increasing altitude
Now, if a body of mass m is placed on the point whose angle of latitude is ϕ then acceleration due to gravity is given by
ω = angular velocity of earth
R = radius of earth
As the latitude increases, ϕ increases and cosϕ decreases, thus increasing the value of g
Therefore, (a) and (c) are correct option
Rate this question :
Is it possible for a body to have inertia but no weight?Physics - Exemplar
The weight of a body at the poles is greater than the weight at the equator. Is it the actual weight or the apparent weight we are talking about? Does your answer depend on whether only the earth’s rotation is taken into account or the flattering of the earth’s at the poles is also taken into account?HC Verma - Concepts of Physics Part 1
An astronaut inside a small spaceship orbiting around the earth cannot detect gravity. If the space station orbiting around the earth has a large size, can he hope to detect gravity?Physics - Exemplar
A person sitting in a chair in a satellite feels weightless becauseHC Verma - Concepts of Physics Part 1
A body is suspended from a spring balance kept in a satellite. The reading of the balance is W1 when the satellite goes in an orbit of radius R and is W2 when it goes in an orbit of radius 2R.HC Verma - Concepts of Physics Part 1
For the above problem, the direction of the gravitational intensity at an arbitrary point P is indicated by the arrow (i) d, (ii) e, (iii) f, (iv) g.NCERT - Physics Part-I
A pendulum having a bob of mass m is happening in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T0.
(a) Find the speed of the ship due to rotation of the earth about its axis.
(b) Find the difference between T0 and the earth’s attraction on the bob.
(c) If the ship sails at speed . what is the tension in the string? Angular speed of earth’s rotation is ω and radius of the earth is R.
HC Verma - Concepts of Physics Part 1
What is the acceleration due to gravity on the top of Mount Everest? Mount Everest is the highest mountain peak of the world at the height of 8848 m. The value at sea level is 9.80 ms-2.HC Verma - Concepts of Physics Part 1