A body of mass 2 kg is hung on a spring balance mounted vertically in a lift. If the lift descends with an acceleration equal to the acceleration due to gravity ‘g’, the reading on the spring balance will be      
     
1)    2 kg    2) (4 x g) kg     3)    (2 x g) kg     4)     Zero

A massive stone pillar $$20m$$ high and of uniform cross section rests on a rigid base and supports a vertical load of $$5.0\times { 10 }^{ 5 }N$$ at its upper end. If the compressive stress in the pillar is not exceed $$16\times { 10 }^{ 6 }N/m$$, what is the minimum cross-sectional area of the pillar? (Density of the stone$$=2.5\times { 10 }^{ 3 }kg/{ m }^{ 3 }$$ take $$g=10N/kg$$
1) $$0.15{ m }^{ 2 }$$ 2) $$0.25{ m }^{ 2 }$$ 3) $$0.35{ m }^{ 2 }$$ 4) $$0.45{ m }^{ 2 }$$

A nucleus of mass M + ?m is at rest and decays into two daughter nuclei of equal mass (M/2) each. Speed of light is c. 
The speed of daughter nuclei is

satellite is moving around the Earth in a circular orbit with a velocity V. If the gravitational force of the Earth were to suddenly disappear, then the satellite would
 
 1) move with a velocity V, tangentially to its circular orbit.
 2) fall towards the surface of the Earth.
 3) move radially outwards with a velocity V.
 4) spirally move away from the Earth.

A reference frame attached to the Earth
 
 1) is an inertial frame by definition.
 2) is an inertial frame because Newton's laws of motion are applicable inside it.
 3) is not an inertial frame because the Earth moves with respect to the Sun.
 4) cannot be an inertial frame of reference because of the Earth's rotation and revolution.

The horizontal component of earths magnetic field at a certain place is $$3.0 \times 10^{-5}\, T$$ and having a direction from the geographic south to geographic north. The force per unit length on a very long straight conductor carrying a steady current of $$1.2\, A$$ in east to west direction is

1) $$3.0 \times 10^{-5} \, N\, m^{-1}$$
2) $$3.2 \times 10^{-5}\, N\, m^{-1}$$
3) $$3.6 \times 10^{-5}\, N\, m^{-1}$$
4) $$3.8 \times 10^{-5}\, N\, m^{-1}$$

The power of a biconvex lens is $$10$$ dioptre and the radius of curvature of each surface is $$10 \,cm$$. Then the refractive index of the material of the lens is

1) $$\frac{3}{2}$$
2) $$\frac{4}{3}$$
3) $$\frac{9}{8}$$
4) $$\frac{5}{3}$$

An ideal gas is subjected to cyclic process involving four thermodynamic states, the amounts of heat (Q) and work (W) involved in each of these states are
$$ Q_ 1 = 6000 \; J, Q_2 = -5500\; J; Q_3 = -3000 \; J; Q_4 = 3500 \; J$$
$$W_1= 2500 \; J; W_2 = -1000\; J; W_3 = -1200 \; J; W_4 = x \; J.$$
The ratio of the net work done by the gas to the total heat absorbed by the gas is $$\eta $$). The values of x and $$\eta $$ respectively are

1) 500 ; 7.5 %
2) 700; 10.5 %
3) 1000 ; 21 %
4) 1500; 15 %

When a wave traverses a medium the displacement of a particle located at ‘x’ at a time ‘t ‘ is given by y=asin (bt-cx) , where a, b, c are constants of the wave, which of the following is quantity with dimensions ?

1) y/a
2) bt
3) cx
4) b/c

An infinite no.of electric charges each equal to 5 nano coulombs are placed along X-axis at x = 1 cm, x = 2cm, x = 4cm, x=8cm,…. and so on. In this setup, if the consecutive charges have opposite sign, then the electric field in newton/coulomb at x = 0 is  

1) 12 × 10⁴
2) 24 × 10⁴
3) 36 × 10⁴
4) 48 × 10⁴