Physics Test 2

The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R (radius of earth) are 10 m/s2 and 6400 km respectively. The required eneregy for this work will be

Helium gas goes through a cycle ABCDA (consisting of two isochoric and isobaric lines) as shown in figure. Efficiency of this cycle is nearly (Assume the gas to be close to ideal gas)

A spectrometer gives the following reading when used to measure the angle of a prism. , 
Main scale reading : 58.5 degree  , 
Vernier scale reading : 09 divisions  , 
Given that 1 division on main scale corresponds  to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. , 
The angle of the prism from the above data is

A cylindrical tube, open at both ends, has a fundamental frequency f in air, The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now

Two cars of masses m₁ and  m₂ are moving in circles of radii r₁ and r₂, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is

An electromagnetic wave in vacuum has the electric and magnetic fields E and B, which are always perpendicular to each other. The direction of polarisation is given by X and that of wave propagation by k. Then,