June 02
14) Pressure=Force/area
Pressure= Pb-Pt
therefore Force= ( Pb-Pt) a
18) consider p.e at P as X. So p.e at Q is (X-50) J
k.e at P is 5kJ...that means p.e+k.e at P is X+5 kJ and W.d against friction is 10kJ. therefore at the lowest point it has (X+5)-10 kJ of energy=X-5 kJ
p.e at Q is X-50...the difference is....k.e at Q is given by
X-5-(X-50)= 45kJ
23) Young's Modulus= Stress/Strain= 60/x/ 8/l where x is the cross-section area and l is the original length
Young's modulus is therefore= 60l/8x
Now when area of cross-section is 4 times.
60l/4xe (e is the extension) should be equal to 60l/8x
Also though the length is doubled
which means
60X2l/ 4xe= 60l/8x
120l/4xe=60l/8x
e=4mm
35) voltage splits in series circuit depending on the ratio of resistance.
R3=2V
between R2 and R3= 3-2=1V
so R1= 5-(r3+r2)
=2 V
this means R1=R3
so answer is C
40) Bh has 3 alpha particles + Md
so 255+4+4+4101+6Md
so neutrons= (255+12)-(107)
=160