Solutions of IJSO Daily Practice Test- 3 (13-10-10)
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IJSO QUESTION WITHANSWER (21-10-10) 1.
Sol.
2.
Let x = r cos cos ; y = r co cos sin and z = r sin then (x2 + y2 + z2) is (A*) independent of both and . (B) independent of but dependent on . (C) independent of but dependent on . (D) dependent on both and . x2 + y2 + z2 = r2cos2cos2 + r2cos2sin2 + r2sin2. r2cos2(cos2 + sin2) + r2sin2 r2cos2 + r2sin2 r2(cos2 + sin2) = r2 So x2 + y2 + z2 in independent of both and . Current in the branch CD of the circuit is : (in ampere).
i=
30 = 20 Amp. 3 / 2
From figure current through B D branch = 5 Amp.
2
2 2
3 20A
3.
5A 20A
So current coming from this branch = 15 Amp.
The mixture used in car radiators in cold countries contains (A) alcohol and and benzene. benzene. (B) sodium chloride and water. water. (C*) alcohol and water. (D) sodium chloride and alcohol.
Sol.
Alcohol and water are completely miscible in all proportions. Also, this mixture has much
( A*) 15 A ( C) 2 5 A
lower freezing point than water. Hence, it can
( B) 2 0 A (D) 30 A
be used in car radiators in cold countries. 4.
A simple tissue with both mechanical and physiological functions in young dicotyledonous plants is (A) Meristematic tissue