In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4%
respectively. Quantity P is calculated as follows :
The velocity of a projectile at the initial point A is It's velocity (in m/s) at point B is -
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A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is -
Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward
force F is applied on block m, the masses move upward at constant speed v. What is the net force on the
block of mass 2m ? (g is the acceleration due to gravity)
The upper half of an inclined plane of inclination θ is perfectly smooth while lower half is rough. A block
starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction
between the block and lower half of the plane is given by -
A uniform force of newton acts on a particle of mass 2 kg. Hence the particle is displaced from
position meter. The work done by the force on the particle is -
An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each
other. The first part of mass 1 kg moves with a speed of 12 ms–1 and the second part of mass 2 kg moves with 8 ms–1 speed. If the third part files off with 4 ms–1 speed, then its mass is -
A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to
point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is -
A small object of uniform density rolls up a curved surface with an initially velocity 'v'. It reaches upto a
maximum height of 3v2/4g with respect to the initial position. The object is -
A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth.
The change in potential energy of body will be -
Infinite number of bodies, each of mass 2 kg are situated on x-axis at distances 1m, 2m, 4m, 8m, … ,
respectively, from the origin. The resulting gravitational potential due to this system at the origin will be -
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?
The wettability of a surface by a liquid depends primarily on -
he molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv,
respectively. If γ= Cp/Cv and R is the universal gas constant, then Cv is equal to -
A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using -
A gas is taken through the cycle A → B → C → A, as shown. What is the net work done by the gas ?
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is -
In the given (V – T) diagram, what is the relation between pressures P1 and P2 ?
The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T1 K to T2 K is -
A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2πm and
frequency of 1/π Hz is represented by -
It we study the vibration of a pipe open at both ends, then the following statement is not true -
A source of unknown frequency gives 4 beats/s, when sounded with a source of known frequency 250 Hz.
The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is -
Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the
equilibrium separation between them is r. Now the strings are rigidly clamped at half the height. The
equilibrium separation between the balls now become -
A, B and C are three points in a uniform electric field. The electric potential is -
A wire of resistance 4Ω is stretched to twice its original length. The resistance of stretched wire would be -
The internal resistance of a 2.1 V cell which gives a current of 0.2A through a resistance of 10Ω is -
The resistances of the four arms P, Q, R and S in a Wheatstone’s bridge are 10 ohm, 30 ohm, 30 ohm and 90 ohm, respectively. The e.m.f. and internal resistance of the cell are 7 volt and 5 ohm respectively. If the galvanometer resistance is 50 ohm, the current drawn from the cell will be -
When a proton is released from rest in a room, it starts with an initial acceleration a0 towards west. When it is projected towards north with a speed v0 it moves with an initial acceleration 3a0 toward west. The electric
and magnetic fields in the room are -
A bar magnet of length ‘l’ and magnetic dipole moment ‘M’ is bent in the form of an arc as shown in figure.
The new magnetic dipole moment will be –