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The acceleration of moon with respect to earth is 0.0027 and the acceleration of an apple falling on earth’s surface is about 10.Assume that the radius of the moon is one fourth of the earth’s radius. If the moon is stopped for an instant and then released, it will move towards the earth. The initial acceleration of the moon towards the earth will be
The acceleration of the moon just before it strikes the earth in the previous question is
A particle is kept at rest at a distance R(earth’s radius) above the earth’s surface. The minimum speed with which it should be projected so that it does not return is
Using conservation of energy,
A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion , the time period will
Time period T =2pi under root l/gIf the length is halved then Time period t=2πunder root l/2gSo t=T/under root 2
Suppose a tunnel is dug along a diameter of the earth.A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is
Two waves represented by and y = are superposed. The resultant wave will have an amplitude
Consider two waves passing through the same string.Principle of superposition for displacement says that the net displacement of a particle on the string is sum of the displacements proudced by the two waves individually. Suppose we state similar principles for the net velocity of the particle and the kinetic energy of the particle. Such a principle will be valid for
Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is The resultant amplitude will be
A tuning fork sends sound waves in air. If the temperature of the air increases, which of the following parameters will change ?
A cylindrical tube, open at both ends, has a fundamental frequency v. The tube is dipped vertically in water so that half of its length is inside the water. The new fundamental frequency is
A small source of sound moves on a circle as shown in the figure and an observer is standing on O. Let n1,n2 and n3 be the frequencies heard when the source is at A, B and C respectively. Then
At point A, source is moving away from observer so apparent frequency n_{1}<n (actual frequency) At point B source is coming towards observer so apparent frequency n_{2}<n and point C source is moving perpendicular to observer so n3 =n Hence n_{2}>n_{3}>n_{1}
A mass m is placed inside a hollow sphere of mass M as shown in figure. The gravitational force on mass m is
In the figure, the block of mass m, attached to the springnof stiffness k is in contact with the compeletly elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is, then released. If the collision between the block and the wall is completely elastic, then the time period of oscillations of the block will be
A wire of passes over a frinctionless light pulley fixed on the top of frinctionless inclined plane which makes an angle of with the horizontal.Masses m and M are tied at the two ends of wire such that m rests on the plane and M hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of 100 Choose the correct option
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