Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively, the atomic
mass of Fe is
(A) 55.85 (B) 55.95
(C) 55.75 (D) 56.05
Consider an infinite geometric series with the first term a and common ratio r. If its sum is 4 and the second term is 3/4 then (a,r) has the value,
(a). (7/4,3/7)
(b). (2,3/8)
(c). (3/2,1/2)
(d). (3,1/4)
29.2% (w/w) HCl stock solution has a density of 1.25 g mL1. The molecular weight of HCl is 36.5 g mol1. The
volume (mL) of stock solution required to prepare a 200 mL solution of 0.4 M HCl is
A series R-C circuit is connected to AC voltage source. Consider two cases; (A) when C is without a
dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resistor
and voltage VC across the capacitor are compared in the two cases. Which of the following is/are true?
(A) A B
R R I > I (B) A B
R R I < I
(B) A B
C C V > V (D) A B
C C V < V
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ï²c is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is
option
(A) more than half filled if ï²c is less than 0.5
(B) more than half filled if ï²c is less than 1.0
(C) half filled if ï²c is less than 0.5
(D) less than half filled if ï²c is less than 0.5