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1.

If Cr≡ 25Cr and C0 + 5.C1 + 9.C2 + ... + (101).C25 = 225.k then k is equal to____.

Answer»

= 100. 224 + 225 = 225(50 +1) = 51.225

2S = (102)(225)

S = 51(225)

2.

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through O (the centre of mass) and O' (corner point) is(1) 1/2(2) 1/4(3) 1/8(4) 2/3

Answer»

Answer is (2) 1/4

3.

Two concentric circular coils, C1 and C2 are placed in the XY plane. C1 has 500 turns, and a radius of 1 cm. C2 has 200 turns and radius of 20 cm. C2 carries a time dependent current I(t) = (5t2 – 2t + 3) A where t is in s. The emf induced in C1 (in mV), at the instant t = 1 s is\(\frac{4}{X}\). The value of x is _____ .

Answer»

Correct answer is 05.00

. I = 5t2 – 2t + 3

4.

An acidic buffer is obtained on mixing :(1) 100 mL of 0.1 M CH3COOH and 200 mL of 0.1 M NaOH(2) 100 mL of 0.1 M CH3COOH and 100 mL of 0.1 M NaOH(3) 100 mL of 0.1 M HCl and 200 mL of 0.1 M CH3COONa(4) 100 mL of 0.1 M HCl and 200 mL of 0.1 M NaCl

Answer»

(3) 100 mL of 0.1 M HCl and 200 mL of 0.1 M CH3COONa

So finaly we get mixture of

CH3COOH + CH3COONa that will work like acidic buffer solution.

5.

The mole fraction of glucose (C6 H12 O6 ) in an aqueous binary solution is 0.1. The mass percentage of water in it, to the nearest integer, is ______.

Answer»

47

Let total mole is 1 mol then mole of glucose will be 0.1 and mole of water will be 0.9

so mass % of water = (0.9 x 18)/(0.1 x 180 + 0.9 x 18) x 100

= 47.36

= 47

6.

The volume strength of 8.9 M H2 O2 solution calculated at 273 K and 1 atm is _____. (R=0.0821 L atm K–1 mol–1) (rounded off to the nearest integer)

Answer»

100

Volume strength of H2 O2 at 1 atm

273 kelvin = M × 11.2

= 8.9 × 11.2

= 99.68

= 100

7.

The electric field of a plane electromagnetic wave is given byvector E = E0 (x + y)sin(kz - ωt)Its magnetic field will be given by(1) (E0/C) (x - y)cos(kz - ωt)(2) (E0/C) (x - y)sin(kz - ωt)(3) (E0/C) (-x + y)sin(kz - ωt)(4) (E0/C) (x - y)sin(kz - ωt)

Answer»

(3) (E0/C) (-x + y)sin(kz - ωt)

8.

The antifertility drug 'Novestrol" can react with :(1) Br2 /water; ZnCl2 /HCl; FeCl3(2) Alcoholic HCN; NaOCl; ZnCl2 /HCl(3) Br2 /water; ZnCl2 /HCl; NaOCl(4) ZnCl2 /HCl; FeCl3 ; Alcoholic HCN

Answer»

(1) Br2 /water; ZnCl2 /HCl; FeCl3

(1) Br2 + H2O test

(2) Lucas test with ZnCl2 + HCl

(3) FeCl3 test of phenolic group.

9.

Let CNaCl and CBa\(SO_{4}\)be the conductances (in S) measured for saturated aqueous solutions of NaCl and BaSO4, respectively, at a temperature T. Which of the following is false ?(1) Ionic mobilities of ions from both salts increase with T(2) CNaCl >> CBa\(SO_{4}\) at a given T(3) CNaCl(T2 ) > CNaCl(T1 ) for T2 > T1(4) CBa\(SO_{4}\) (T2 ) > CBa\(SO_{4}\) (T1 ) for T2 > T1

Answer»

(3) CNaCl(T2 ) > CNaCl(T1 ) for T2 > T1

Dissolution of BaSO4 is an endothermic reaction 50 on increasing temperature number of ions of BaSO4 decrease so it's conduction also decrease.

10.

A quantity x is given by (IFv2/WL4) in terms of moment of inertia I, force F, velocity v, work W and length L. The dimensional formula for x is same as that of(1) Coefficient of viscosity(2) Force constant(3) Energy density(4) Planck’s constant

Answer»

(3) Energy density