There are four data given A = 5.00 m, B = 5.00 cm, C = 50.00 m and D = 5.00 mm. Select the most precise and most accurate data
A projectile is projected at an angle θ(> 45°) with initial speed u. The time t at which magnitude of vertical component of its velocity is equal to magnitude of horizontal component of its velocity, is
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A particle is moving along x-axis such that its velocity varies with time t as v = 20 .At t = 0 particle is at origin. Select correct position (x) – time (t) plot for the particle
A quantity P is calculated by P = ,which quantity should be measured with best care to minimize error in P?
Velocity of the body of mass 10 kg changed from 2 m/s along east to 3 m/s along west in 5s.Average force acting on the body is
Variation of force F acting on a body with time t is as shown in figure. Change in momentum of the body in the interval 0 to 20 s is
Potential energy of a particle at position x is given by u = (- x2 + 2x) J. Force on the particle at x = 1 m is
A body of mass m moving with speed v compresses a spring of force constant k as shown in figure. Maximum compression of the spring is equal to
From a disc of radius R, a disc of radius is taken out as shown in figure. Position of the centre of mass of remaining disc is on
A uniform rod of length L is kept vertical as shown in figure. If there is non slipping at A and the rod is allowed to fall, then end B will hit the ground with speed
The pulley has moment of inertia l and radius is r. If there is no slipping of string over the pulley, then acceleration of the block of mass m is
A cube of side L and mass M is placed on rough horizontal surface and the friction is sufficient so that it will not move, if a constant force F = Mg is applied horizontally at a distance L / 4 above the surface. Then the torque due to normal force about centre of the cube is equal to
If a new planet is discovered rotating around the Sun with the orbital radius double that of earth, then what will be its time period (in earth’s days)?
If percentage error in the measurement of length and time period of a simple pendulum are 2% and 3% respectively, then the maximum error in the measurement of acceleration due to gravity is
Which one of the following figures correctly represents the flow of fluid through a tube with constructions as shown in the diagram
A uniform plank of Young’s modulus Y is moved over a smooth horizontal surface by a constant horizontal force F0.The area of cross-section of the plank is A. The strain on the plank in the direction of the force is
The work done to get 64 identical spherical water droplets to form a bigger spherical drop of water of radius R is W. The surface tension of water is
Rain drops fall from a height under gravity; we observe that :
The load versus elongation graphs for four wires A, B, C and D of the same material of same length are shown in the figure. The thinnest wire is represented by the line:
The excess pressure inside one soap bubble is three times that inside a second soap bubble, then the ratio of their surface area is
The differential equation of SHM for a particle is given by = 0.The ratio of the maximum acceleration to the maximum velocity of the particle is
A particle is performing SHM. If its kinetic energy is K, potential energy is U and its displacement from mean position is x then which of the following graph is correct if equation of SHM is x = A sin ωt.
An organ pipe P1 closed at one end vibrating in its first harmonic and another pipe P2 open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is
A transverse wave traveling along negative y-axis its snap shot is given at any instant of time t.Points which is having velocity in negative x-direction
A cylindrical metal rod of length L0 is shaped into a ring with a small gap as shown in figure.On heating the system.
An ideal monatomic gas is taken round the cycle ABCDA as shown in the P–V diagram (see Fig.). The work done during the cycle is
If , and are the unit vectors along the incident ray, reflected ray and the outward normal to the reflector. Then
A point object is placed at a distance of 1000 mm from a concave mirror of focal length 400 mm. If the object is moved towards the mirror by 200 mm, the image moves by a distance of
Point charge +4q, -q and +4q are kept on the x-axis at points x = 0, x = a and x = 2a respectively. Then:
In a regular polygon of n sides, each corner is at a distance r from the centre. Identical charges of magnitude q are placed at (n – 1) corners. The field at the centre is