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In multiplication or division, the final result should retain as many significant figures as are there in the original number with the least significant figures.
2.54 contain the least significant figures of 3
97.52/2.54
= 38.393
= 38.4
Given that where a = constant. Using dimensional analysis, the value of n is
Determine the length of the copper wire which breaks under its own weight when suspended vertically from one end. Breaking stress for copper = 2.45 x 10^{8} N/m^{2} and density of copper = 8600 kg/m^{3}.
if and are two unit vectors inclined at an angle 60^{0} to each other then
Figure shows two holes in a wide tank containing a liquid column. The water streams coming out of these holes strike the ground at the same point. The height of liquid column in the tank is
A train passes an electric post in 8 seconds and a bridge of length 1km in 108 seconds. The speed of the engine is
A vessel containing water is given a constant acceleration ‘a’ towards the right along a straight horizontal path. Which of the following diagrams in figure represents the surface of the liquid?
The negineer of a train moving at a speed V_{1} sights a freight train a distance d ahead of him on the same track moving in the same direction with a slow speed V_{2}. He puts on the brakes and gives his train a constant deceleration α.Then there will be no collision if
A ball is thrown up with a certain velocity at an angle θ to the horizontal. The kinetic energy K.E. of the ball varies with horizontal displacement x as
Tow particles of same mass are projected from same place with same velocity u, such that their ranges are same. If h_{1} and h_{2} are the maximum heights attained by them then the relation between h_{1},h_{2} and R will be
Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 ms^{1}.If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is
A dynamometer D is attached to two bodies of masses M= 6kg and m= 4 kg. Forces F=20N and f =10N are applied to the masses as shown.The dynamometer reads
A man of weight 80 kg is standing in an elevator which is moving with an acceleration of 6 m/s^{2 }upward direction. The apparent weight of the man will be (g =m/s^{2 })
If a body is placed on another body which is accelerating by an external force then work done by frictional force on the upper body relative to ground is
Given that the displacement of the body in meter is a function of time as follows x = 2t^{4 }+5 The mass of the body is 2 kg. What is the increase in its kinetic energy one second after the start of motion?
A pump can hoist 9000 kg of coal per hour from a mine of 120 m deep. Then the power in watts, assuming that its efficiency is 75% is
Let a_{r} and a_{t} represent radial and tangential acceleration. The motion of a particle may be circular if
Two vehicles of equal masses are moving with same speed v on two roads inclined at an angle θ. They collide inelasitically at the junction and then move together. The speed of the combination is
Two disc one of density 7.2 g/cm^{3} and the other of density 8.9 gm/cm^{3} , are of same mass and thickness. Their moments of inertia are in the ratio
The angular velocity of the wheel increases from 1200 to 4500 rev per min in 10 seconds. Then the number of revolutions made during this time is
The period of the satellite of the earth orbiting very...................T^{0}. What is the period of the geostationary satellite in term of T^{0}?
A particle is projected vertically upwards from the surface of earth (radius R_{e})with a kinetic energy equal to half of the minimum value needed for it to escape. The height to which it rise above the surface of earth is
A particle undergoing SHM has the equation : x = A sin(ωt + φ) where x represents the displacement of the particle. The kinetic energy (K.E.) oscillates with the time period
Two mole of argon are mixed with one mole of hydrogen, the C_{p}/C_{v } for the mixture is nearly
Starting with the same inital conditions, an ideal gas expands from volume V_{1} to V_{2} in three different ways. The work done by the gas is W_{1} if the process is isothermal, W_{2} if isobaric and W_{3} if adiabatic, then
In a cyclic process shown in the figure an ideal gas is adibatically taken from B to A, the work done on the gas during the process B A is 30 J, when the gas is taken from A B. the heat absorbed by the gas is 20 J. The change in internal energy of the gas in the process A B is
A cyclic process ABCD is shown in the figure PV diagram. Which of the following curves represent the same process ?
The maximum wavelength of radiation emitted at 900K is 4μm. The maximum wavelength of radiation emitted at 1200 K, will be
The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is 0.5π. The velocity of wave will be
The equation of a progressive wave is y = 0.3 sin(314 t  1.57x) the velocity of the wave
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