Test: BITSAT Past Year Paper- 2012 - JEE MCQ

A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on the ground is (μ₀ = 4π × 10^–7 Tm A^–1)

A man of mass 100 kg. is standing on a platform of mass 200 kg. which is kept on a smooth ice surface. If the man starts moving on the platform with a speed 30 m/sec relative to the platform then calculate with what velocity relative to the ice the platform will recoil?

If the unit of force and length be each increased by four times, then the unit of energy is increased by

Which of the following must be known in order to determine the power output of an automobile?

If the force is given by F = at + bt² with t as time. The dimensions of a and b are

A wheel of radius R rolls on the ground with a uniform velocity v. The relative acceleration of topmost point of the wheel with respect to the bottom most point is

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the value of g on the earth’s surface would

The Young’s modulus of a perfectly rigid body is

An ice block floats in a liquid whose density is less than water. A part of block is outside the liquid. When whole of ice has melted, the liquid level will

A large drop of oil (density 0.8 g/cm³ and viscosity η₀) floats up through a column of another liquid (density 1.2 g/cm³ and viscosity η_L).
Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on:

A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequen tially keepin g in con tact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequen tially keepin g in con tact with 8 reservoirs such that each reservoir supplies same amount of heat.
In both the cases body is brought from initial temperature 100°C to final temperature 200°C.
Entropy change of the body in the two cases respectively is :

Which of the following process is possible according to the first law of thermodynamics?

For an isothermal expansion of a perfect gas, the value of ΔP/P is equal to

A sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure. The work done during the cycle is

The average translational kinetic energy of O₂ (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N₂ (molar mass 28) molecules in eV at the same temperature is

For a gas if ratio of specific heats at constant pressure and volume is γ then value of degrees of freedom is

One end of a long metallic wire of length L tied to the ceiling. The other end is tied with a massless spring of spring constant K. A mass hangs freely from the free end of the spring. The area of cross section and the young’s modulus of the wire are A and Y respectively. If the mass slightly pulled down and released, it will oscillate with a time period T equal to :

The transverse displacement y(x, t) of a wave on a string is given by

This represents a

A sound source is moving towards stationary listener with 1/10th of the speed of sound. The ratio of apparent to read frequency is

In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed.The electric flux ϕ through the bowl is

The electric field intensity just sufficient to balance the earth’s gravitational attraction on an electron will be: (given mass and charge of an electron respectively are 9.1 × 10^–31 kg and 1.6 × 10^–19 C.)

Two capacitors C₁ and C₂ are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then

Three voltmeters A, B and C having resistances R, 1.5 R and 3R, respectively, are connected as shown. When some potential difference is applied between X and Y, the voltmeter readings are V_A, V_B and V_C respectively. Then –

The range of the particle when launched at an angle of 15º with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45º to the horizontal.

If m is magnetic moment and B is the magnetic field, then the torque is given by

Magnetic moment of bar magnet is M. The work done to turn the magnet by 90° of magnet in direction of magnetic field B will be

The laws of electromagnetic induction have been used in the construction of a