Daily Question Banks for Engineering Entrance and Board Exams

Questions
Physics
A concave lens of glass, refractive index 1.5 has both surfaces of same radius of curvature R, On immersion in a medium of refractive index 1.75, it will behave as
(a) convergent lens of focal length 3.5 R (b) convergent lens of focal length 3.0 R
(c) divergent lens of focal length 3.5 R (d) divergent lens of focal length 3.0 R

Chemistry
One litre of a mixture of O2 and O3 at NTP was allowed to react with an excess of acidified solution of Kl. The iodine liberated required 40ml of M/10 sodium thiosulphate solution for titration. What is the weight percent of ozone in the mixture? Ultraviolet radiation of wavelength 300 nm can decompose ozone. Assuming that one photon can decompose one ozone molecule, how many photons would have been required for the complete decomposition of ozone in the original mixture?

Mathematics
For many positive integer m, n (with n ³ m), let Prove that

Hence or otherwise, prove that

 
 
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