दो प्रेरक कुण्डलियों के स्वप्रेरकत्व व `L_(1)` व `L_(2)` है। सिद्ध कीजिए की इन्हे
समान्तर क्रम में जोड़ने पर तुल्य प्रेरकत्व `L_(1)L_(2)//(L_(1)+L_(2))` होगा ।

Five balls L1, L2, L3, L4 and L5 are kept one above the other (not necessarily in the same order). L1 is just above L5 and just below L4. L2 is just above L3 and just below L5. How many balls are above L2? पांच गेंदों L1, L2, L3, L4 और L5 को एक के ऊपर एक रखा जाता है (जरूरी नहीं कि उसी क्रम में)। L1, L5 के ठीक ऊपर और L4 के ठीक नीचे है। L2, L3 के ठीक ऊपर और L5 के ठीक नीचे है। L2 के ऊपर कितनी गेंदें हैं?

If L_(1) = (2.02 +- 0.01)m and L_(2) = (1.02 +- 0.01)m then L_(1) + 2L_(2) is (in m)

If L_(1) = (3.03 +- 0.02)m and L_(2) = (2.01 +- 0.02)m then L_(1) + 2L_(2) in (in m )

Show that the matris [[l_(1),m_(1),n_(1)],[l_(2),m_(2),n_(2)],[l_(3),m_(3),n_(3)]] is orthogonal, if l_(1)^(2) + m_(1)^(2) + n_(1)^(2) = Sigmal_(1)^(2) = 1 = Sigma l_(2)^(2) = Sigma_(3) ^(2) and l_(1) l_(2) + m_(1)m_(2) + n_(1) n_(2) = Sigma l_(1)l_(2) =0 = Sigma l_(2)l_(3) = Sigma l_(3) l_(1).

Consider atoms H, He^(+), Li^(++) in their ground states. If L_(1), L_(2) and L_(3) are magnitude of angular momentum of their electrons about the nucleus respectively then: A. L_(1)=L_(2)=L_(3) B. L_(1) gt L_(2) gt L_(3) C. L_(1) lt L_(2) lt L_(3) D. L_(1)=L_(2)=L_(3)

The chord of contact of tangents from a point P to a circle passes through Q. If l_(1) and l_(2) are the length of the tangents from P and Q to the circle,then PQ is equal to (l_(1)+l_(2))/(2) (b) (l_(1)-l_(2))/(2)sqrt(l_(1)^(2)+l_(2)^(2))(d)2sqrt(l_(1)^(2)+l_(2)^(2))