A truck has a velocity of 3 m /s at time t=0. It accelerates at 3 m / s2 on seeing police .What is its velocity in m/s at a time of 2 sec
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A person trying to lose weight (dieter) lifts a 10 kg mass, one thousand times, to a height of 0.5 m each time. Assume that the potential energy lost each time she lowers the mass is dissipated. How much work does she do against the gravitational force?
A weight of 20kg falls from a height of 10 m. The work done by the gravitational force is (Take g = 10 mms-2)
Let [ε0] denote the dimensional formula of the permittivity of the vaccum, and [μ0] that of the permeability of the vacuum. If M = mass, L = length, T = time and I = electric current :
[JEE-1998' 2/200]
Which of the following pairs have same dimensions :
Give the magnitude and direction of the net force acting on a stone of mass 0.1 kg lying on the floor of a train which is accelerating with 1 ms−2, the stone being at rest relative to the train. Neglect air resistance.
Vectorially, angular velocity of a rotating body is represented :
A truck is coming towards you from a distance of 1000m on a straight road, at time t=0. It reaches you in 100sec. The average speed in m/s is
The pairs of physical quantities that have the same dimensions are
The average acceleration 'a' over a time interval is defined as
A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let 'N' be the number density of free electrons, each of mass 'm'. When the electrons are subjected to an electric field, they are displaced relatively away from the heavy positive ions. If the electric field becomes zero, the electrons begin to oscillate about the positive ions with a natural angular frequency 'wP' which is called the plasma frequency. To sustain the oscillations, a time varying electric field needs to be applied that has an angular frequency w, where a part of the energy is absorbed and a part of it is reflected. As w approaches wP, all the free electrons are set to resonance together and all the energy is reflected. This is the explanation of high reflectivity of metals.
Taking the electronic charge as 'e' and the permittivity as 'ε0', use dimensional analysis to determine the correct expression for wP.
If the position- time graph is a straight line parallel to the time axis
A man standing on a table rotating about the central axis pulls his hands holding the dumb bells towards chest. How the angular velocity will change?
Angle of line relative to a fixed direction is
When a ball is thrown upwards, as it rises, the vertical component of its velocity
Mass and energy are equivalent and are related by
Which of the following statements give the relationship between linear velocity and angular velocity correctly?
In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system ?
[JEE-1995,2/100]
The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 × 10–3 are
Which is a constant for a freely falling object?
Newton’s third law states that when two bodies interact.
A man of mass 70 kg stands on a weighing scale in a lift which is moving upwards with a uniform speed of 10 m s−1, what would be the reading on the scale?
Which of the following statements not true?
Magnitude of displacement of a particle is
The basic difference between a scalar and vector is one of
What is the number of instantaneous centres of rotation for a 6-link mechanism?