A metal rod expands by 1.00 mm when it is heated from 20 C to 80 C. Another rod of the same material, twice as long as the first at 20 C is heated from 20C to 50 C. The second rod will expand by
 
 (1) 0.25 mm
 (2) 0.50 mm
 (3) 1.00 mm
 (4) 2.00 mm

A source of 220V is applied in an A.C. circuit. The value of resistance is 220Ω. Frequency & inductance are 50 Hz and 0.7 H, then wattless current is 

1) 0.5amp
2) 0.7amp
3) 1.0amp
4) none

A Projectile is given an initial velocity of ( i+2j) m/s, + where i is along the ground and j is along the vertical. If g = 10 m/s², the equation of its trajectory is
1) y = x − 5x² (2) (3) (4)
2) y = 2x − 5x²
3) 4y = 2x − 5x²
4) 4y = 2x − 25x²

Radius of H-atom in its ground state is 5.03×10⁻¹¹m. After collision with an electron it is found to have a radius of 20.12×10⁻¹¹m.. The principal quantum number ′n′ of the final state of the atom is:

1) 1
2) 2
3) 3
4) 4

A shot leaves a gun at the rate of 200 m/s. The greatest distance to which it could be projected is:
1. 200 m
2. 1000 m
3. 2000 m
4. 4000 m

Bernoulli’s theorem is applicable to
1. Viscosity of fluids
2. Surface tension
3. Flow of liquids
4. Static fluid pressure

The half-life of $$^{215}At$$ is $$100\ mu s$$. The time taken for the radioactivity of a sample of this nucleus to decay to $$\dfrac {1}{16}th$$ of its initial value is

1) 6.3μs
2) 40μs
3) 300μs
4) 400μs

 If one gm. of water at 100⁰ C converted into vapour of 100⁰ C the external work done in this process will be :

(1) 2100 watt

(2) 2100 erg

(3) 2100 J

(4) 2100 cal

 An alpha particle is accelerated to a velocity v in a particle accelerator by a potential difference of 1200 V. Which of the following potential differences would be needed to give the alpha particle twice the velocity?

1) 7200 V 
2) 4800 V
3) 4100 V
4) 2400 V

A gaseous mixture enclosed in a vessel of volume V consists of one mole of gas A with γ(=CP?/CV?)=5/3 and another gas B with γ=7/5 at a certain temperature T. The relative molar masses of the gas A and B are 4 and 32, respectively. The gases A and B do not react with each other and are assumed to be ideal. The gaseous mixture follows the equation PV19/13= constant, in adiabatic processes.
Compute the speed of sound in the gaseous mixture at T=300K.

1) v = 501m/s.

2) v = 401m/s.

3) v = 701m/s.

4) v = 801m/s.