Test: BITSAT Past Year Paper- 2011 - JEE MCQ

If then find the dimensions of q. Where T is the time period of bar of mass M, length L and Young modulus Y.

An object experiences a net force and accelerates from rest to its final position in 16s. How long would the object take to reach the same final velocity from rest if the force was four times larger ?

Three blocks of masses m₁, m₂ and m₃ are connected by massless strings, as shown, on a frictionless table. They are pulled with a force T₃ = 40 N. If m₁ = 10 kg, m₂ = 6 kg and m₃ = 4kg, the tension T₂ will be

A massless platform is kept on a light elastic spring as shown in fig. When a sand particle of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the particle strikes the pan and spring is compressed by 0.01 m. From what height should the particle be dropped to cause a compression of 0.04 m.

A constant torque of 31.4 N-m is exerted on a pivoted wheel. If angular acceleration of wheel is 4 p rad/s², then the moment of inertia of the wheel is

A man of mass m starts falling towards a planet of mass M and radius R. As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces a spherical shell of negligible thickness of mass 2M/3 and a point mass M/3 at the centre.
Change in the force of gravity experienced by the man is

Geo-stationary satellite is one which

Two wires are made of the same material and have the same volume. However wire 1 has crosssectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Dx on applying force F, how much force is needed to stretch wire 2 by the same amount?

An iron rod of length 2m and cross-sectional area of 50 mm2 stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young’s modulus of iron rod is

Viscosity is the property of a liquid due to which it :

The radiation emitted by a perfectly black body is proportional to

A copper sphere cools from 62°C to 50°C in 10 minutes and to 42°C in the next 10 minutes.Calculate the temperature of the surroundings.

An air bubble of volume v0 is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmospheric pressure above the lake.
The volume of the bubble just before touching the surface will be (density) of water is ρ

The molecules of a given mass of gas have a root mean square velocity of 200m s^–1 at 27°C and 1.0 × 105 N m^–2 pressure. When the temperature is 127°C and the pressure 0.5 × 105 Nm^–2, the root mean square velocity in ms^–1, is

Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is the displacement and a, b, c are positive constants?

A mass m is suspended from a spring of force constant k and just touches another identical spring fixed to the floor as shown in the figure. The time period of small oscillations is

The fundamental frequency of an open organ pipe is 300 Hz. The first overtone of this pipe has same  frequency as first overtone of a closed organ pipe. If speed of sound is 330 m/s, then the length of closed organ pipe is

In an uniformly charged sphere of total charge  Q and radius R, the electric field E is plotted as function of distance from the centre. The graph which would correspond to the above will be

A charge Q₁ exerts some force on a second charge Q₂. If a 3rd charge Q₃ is brought near, then the force of Q₁ exerted on Q₂ –

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of the sphere is

If the potential of a capacitor having capacity 6 mF is increased from 10 V to 20 V, then increase in its energy will be

Calculate the effective resistance between A and B in following network.

A steady current is set up in a cubic network composed of wires of equal resistance and length d as shown in figure. What is the magnetic field at the centre P due to the cubic network

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

A metal rod of length 1 m is rotated about one of its ends in a plane right angles to a field of inductance 2.5 × 10–3 Wb/m². If it makes 1800 revolutions/min. Calculate induced e.m.f. between its ends.

Which one of the following curves represents the variation of impedance (Z) with frequency f in series LCR circuit?

An electromagnetic wave passes through space and its equation is given by E = E₀ sin (ωt – kx) where E is electric field. Energy density of electromagnetic wave in space is