Test: BITSAT Past Year Paper- 2014 - JEE MCQ

For the equation F = A^av^bd^c, where F is the force, A is the area, v is the velocity and d is the density, the values of a, b and c are respectively

A person with his hand in his pocket is skating on ice at the rate of 10m/s and describes a circle of radius 50 m. What is his inclination to vertical: (g = 10 m/sec2)

A small block of mass m is kept on a rough inclined surface of inclination q fixed in a elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be :

An equilateral prism of mass m rests on a rough horizontal surface with coefficient of friction µ.

A horizontal force F is applied on the prism as shown in the figure.
If the coefficient of  friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is –

A spherically symmetric gravitational system of particles has a mass density  where r₀ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r (0 < r < ∞) from the centre of the system is represented by

The load versus elongation graph for four wires is shown. The thinnest wire is

Th e wor k done in blowin g a soap bubble of surface tension 0.06 × Nm^–1 from 2 cm radius to 5 cm radius is

The wavelength of radiation emitted by a body depends upon

One mole of O₂ gas having a volume equal to 22.4 Litres at 0°C and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is

In a thermodynamic process, the pressure of a fixed mass of a gas is changed in such a manner that the gas releases 20 J of heat and 8 J of work is done on the gas. If the initial internal energy of the gas was 30 J, then the final internal energy will be

In the kinetic theory of gases, which of these statements is/are true ?
(i) The pressure of a gas is proportional to the mean speed of the molecules.
(ii) The root mean square speed of the molecules is proportional to the pressure.
(iii) The rate of diffusion is proportional to the mean speed of the molecules.
(iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.

Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is

Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same straight line. The maximum distance between the two particles is a√2 . The initial phase difference between the particle is –

A tunnel has been dug through the centre of the earth and a ball is released in it. It executes S.H.M. with time period

A soun d source, em itting sound of con stan t frequency, moves with a constant speed and crosses a stationary observer. The frequency (n) of sound heard by the observer  is plotted against time (t). Which of the following graphs represents the correct variation ?

When a string is divided into three segments of length l₁, l₂, and l₃ the fundamental frequencies of these three segments are v₁, v₂ and v₃ respectively. The original fundamental frequency (v) of the string is

Two point dipoles pkˆ and p/2 kˆ are located at(0, 0, 0) and (1m, 0, 2m) respectively. The resultant electric field due to the two dipoles at the point (1m, 0, 0) is

Electric field in the region is given by  then the correct expression for the potential in the region is [assume potential at infinity is zero]

Three capacitors C₁ = 1 µF, C₂ = 2 µF and C₃ = 3 µF are connected as shown in figure, then the equivalent capacitance between points A and B is

Two long coaxial and conducting cylinders of radius a and b are separated by a material of conductivity s and a constant potential difference V is maintained between them, by a battery. Then the current, per unit length of the cylinder flowing from one cylinder to the other is –

A wire X is half the diameter and half the length of a wire Y of similar material. The ratio of resistance of X to that of Y is

A narrow beam of protons and deuterons, each having the same momentum, enters a region of uniform magnetic field directed perpendicular to their direction of momentum. The ratio of the radii of the circular paths described by them is

For th e cir cuit (figur e), the cur rent is to be measured. The ammeter shown is a galvanometer with a resistance R_G = 60.00W converted to an ammeter by a shunt resistance r_s = 0.02W. The value of the current is

The susceptibility of a magnetism at 300 K is 1.2 × 10^–5. The temperature at which the susceptibility increases to 1.8 × 10^–5 is

A coil 10 turns and a resistance of 20W is connected in series with B.G. of resistance 30W. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction 10^–2 T. If it is now turned through an angle of 60° about an axis in its plane. Find the charge induced in the coil. (Area of a coil = 10^–2 m²)

Voltage V and current i in AC circuit are given by V = 50 sin (50 t) volt, i = 50 sin. The power dissipated in the circuit is

Resolving power of the telescope will be more, if the diameter of the objective is