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The acceleration of moon with respect to earth is 0.0027m/s2 and the acceleration of an apple falling on earth’s surface is about 10m/s2 .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 towards the earth. The initial acceleration of the moon towards the earth will be
The acceleration of moon with respect to earth is 0.0027m/s2 and the acceleration of an apple falling on earth’s surface is about 10m/s2 .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 towards the earth.
The acceleration of the moon just before it strikes the earth-
Figure shown the elliptical path of a planet about the sun. The two shaded parts have equal area. If t1 and t2 be the time taken by the planet to go from a to b and from c to d respectively,
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
Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A
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
The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to a height and the point, the box is released to fall freely. As seen from the box during this period, the bob will
A particle moves on the x-axis according to the equation x = x0 sin2ωt. The motion is simple harmonic
A sine wave is travelling in a medium. A particular particle has zero displacement at a certain instant. The particle closest to it having zero displacement is at a distance
Both the strings, shown in figure are made of same material and have same cross-section. The pulleys are light. The wave speed of a transverse wave in the string AB is v1 and in CD it is v2. Then v1/v2 is
A wave pulse, travelling on a two-piece string, gets partially reflected and Partially transmitted at the Junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelength λ and the transmitted wave λ
Two waves represented by y = a sin (ωt-kx) and y = a cos(ωt-kx) 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 sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416Hz. If the length is doubled keeping other things same,the string will
Consider the following statements about sound passing through a gas
A. The pressure of the gas at a point oscillates in time
B. The position of a small layer of the gas oscillates in time
A tuning fork sends sound waves in air. If the temperature of the air increases, which of the following parameters will change ?
A tuning fork of frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is
f1 = 512Hz
f2 = frequency of sonometer wire.
Now, 512 -f2 = 6
By increasing the tension in sonometer wire f2 will increase.
In first case, beat frequency will decreae.
∴ 512 - f2 = 6
or f2 = 506 Hz
A small sources of sound moves on a circle as shown in figure and an observer is sitting at O.Let v1,v2,v3 be the frequencies heard when the source is at A,B and C respectively
A simple pendulum with a brass bob has a time period T. The bob is now immersed in a non-viscous liquid and oscillated. If the density of the liquid is 1/8 that of brass, the time period of the same pendulum will be
Two sounding bodies producing progressive waves given by y1 = 4sin(400πt) and y2 = 3sin(404πt) where t is in seconds, are situated near the ears of a person. The person will hear
A closed organ pipe of length L and an open organ contain gases of densities ρ1 and ρ2 respectively.The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the organ pipe is
A wire of 9.8 x 10-3kgm-1 passes over a frinctionless light pulley fixed on the top of frictionless inclined plane which makes an angle of 300 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 ms-1.Choose the correct option