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The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10^(-40) . An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.

The results of students of a college revealed the following facts. 25% of students failed in Mathematics, 15% of students failed in Chemistry,10% of students failed in both. If a student is selected at random. The probability that he has failed in Mathematics, given that he failed in Chemistry is (i)1/5 (ii)2/3 (iii)3/5 (iv)1/3

From the top of a 10 m high building, the angle of elevation of the top of a tower is 60^@ and the angle of depression of the foot of the tower is Theta , such that tan Theta = 2/3 . What is the height of the tower to nearest metres? 10 मी ऊँची इमारत से किसी मीनार के शीर्ष का उन्नयन कोण 60^@ है तथा मीनार के तल का अवनमन कोण Theta इस प्रकार है कि tan Theta = 2/3 है | निकटतम मीटर तक मीनार की ऊंचाई ज्ञात करें |

A telegraph post is bent at a point above the ground due to storm. Its top just touches the ground at a distance of 10 sqrt3 m from its foot and makes an angle of 30^@ with the horizontal. Then length (in metres) of the telegraph post is एक टेलीग्राफ का खंभा आँधी के कारण भूमि के ऊपर एक बिन्दू पर झुक गया है। उसका शीर्ष उसके पाद से 10 sqrt3 की दूरी पर ,भूमि को स्पर्श कर रहा है और क्षैतिज रूप से 30^@ का एक कोण बना रहा है। टेलीग्राफ के खंभे की लम्बाई (मीटर में) कितनी है?

An agreement, which in fact is a contract, between the RBI and Banks for the sale and repurchase of Government securities and short term treasury bills at a future date and for which the RBI indicate the interest rate", is generally known as:

A sphere of mass m and radius R is kept on a rough horizontal floor. Constant force Facts at the top point of sphere along tangent. If there is sufficient friction on the floor to support pure rolling then calculate acceleration of sphere.