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A conducting loop of resistance 10Ω and area 3.5 x 10 ^-3m ² is placed in uniform and time varying magnetic field B = 0.4 sin (50πt). The Charge passing through the loop in t = 0 to t = 10 ms is:

a) 140 µC b) 70 µC c) 280 µC d) 100 µC Answer: (a) = 140 µC... View Article

Two radioactive elements A & B have initially activity 10 curie & 20 curie respectively. If A has twice the no. of moles as that of B. The decay constant λ_A & λ_B can be;

a) (10, 5) b) (5, 20) c) (20, 10) d) (50, 100) Answer: (b) Conceptual λN = A... View Article

Charge Q is uniformly distributed over a ring of radius R. The height h, on the axis of the ring at which electric field is maximum

a) R /√2 b) R/2 c) R d) None of these Answer: (a) E (along) axis of circular coil = kQh/(h2+R2)3/2 for max value of E (dE/dh) =0... View Article

Magnetic field at point O is

a) 1.5 x 10- 5 b) 10- 5 c) 2 x 10- 5 d) 10- 4 Answer: (b) Solution: B0 = BAB + BBC + BCD + BOA = (µ0Iθ/4πrBC) + 0 + (µ0Iθ/4πrOA)... View Article

Initially block of mass M is at rest on a frictionless floor and the spring is in relaxed condition A constant force is applied on the block as shown in the figure. The maximum velocity of block is:

a) F/√mK b) 2F /√mK c) F/2√ mK d) F √2mK Answer: (a) Maximum speed is at equilibrium where F=kx⇒x= F/k Now, F⋅x= (1/2)mv2 +... View Article

The velocity of a particle v at any instant is [latex]vec{v}=yhat{i}+xhat{j}[/latex]. The equation of trajectory of the particle is:

a) x 2 + y2 = constant b) y 2 = x 2 + constant c) xy = constant d) None of these Answer: (b) (dx/dt) = y (dx/dt) = ky, (dx/dt) = kx (dy... View Article

A planet of mass m having angular momentum L is revolving around the sun. The aerial velocity of the planet will be

a) L/m b) L/2m c) 2L/m d) L/4m Answer: (b) For small dθ, dA = (1/2) r2 dθ (dA/dt) = = (1/2) r2 dθ = (1/2) ) r2 w = L/2m (since L = m/ r2 w)... View Article

Initially, an object is kept at a distance of 10 cm from the convex lens and a sharp image is formed at 10 cm ahead of the lens on the screen. Now a glass plate of µ = 1.5 cm and thickness 1.5 cm is placed between object and lens. The distance by which the screen be shifted to get a sharp image on the screen will be:

a) 1.1 cm b) 0.55 cm away from the lens c) 0.55 cm towards the lens d) 5 cm Answer: (b) 2f ⇒ f= 5cm S = t (1 – (1/µ)) = 1.5(1 –... View Article

For path ABC, Heat given to the system is 60 J and work done by the system is 30 J. For path ADC, work done by the system is 10J. The heat given to the system for path ADC is

a) 100 J b) 80 J c) 40 J d) 60 J Answer: (c) Change in Int energy should be same In process ADC ΔU = 60 - 30 = 30 In process ABC... View Article

A block of mass 10 kg is kept on a rough inclined plane as shown in figure. The coefficient of friction between the block and the surface is 0.6. Two forces of magnitudes 3N & P Newton are acting on the block as shown figure. If friction on the block is acting upwards then minimum value of P for which the block remains at rest is:

a) 64 N b) 32 N c) 12 N d) 3 N Answer:(b) Upward force = Downward force mg sinθ +3 = p + l mg sinθ +3=P + µ(N) substituting, [(10 x... View Article

The correct sequence of reagents for the following conversion will be :

Answer: (3)... View Article

3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number of possible stereoisomers for the product is :

1) Two 2) Four 3) Six 4) Zero Answer: (2) Since the product (X) contains two chiral centres and it is unsymmetrical. So, its total... View Article

Which of the following compounds will behave as reducing sugar in an aqueous KOH solution?

Answer: (3) Sugars in which there is free anomeric –OH group are reducing sugars.... View Article

The increasing order of the reactivity of the following halides for the S_N1 reaction is :

1) (I) < (III) < (II) 2) (II) < (III) < (I) 3) (III) < (II) < (I) 4) (II) < (I) < (III) Answer: (4) Rate of... View Article

Which of the following molecules is the least resonance stabilized?

Answer: (2) However, all molecules given in options are stabilised by resonance but compound given in option (2) is least resonance... View Article

The formation of which of the following polymers involves hydrolysis reaction?

1) Nylon 6, 6 2) Terylene 3) Nylon 6 4) Bakelite Answer: (3) Caprolactam is hydrolysed to produce caproic acid which undergoes... View Article

Which of the following, upon treatment with tert-BuONa followed by addition of bromine water, fails to decolourize the colour of bromine?

Answer: (3)... View Article

Which of the following compounds will form a significant amount of meta product during the mono-nitration reaction?

Answer: (1)... View Article

On treatment of 100 mL of 0.1 M solution of CoCl₃.6H₂O with excess AgNO₃; 1.2 × 10²² ions are precipitated. The complex is :

1) [Co(H2O)6]Cl3 2) [Co(H2O)5Cl]Cl2.H2O 3) [Co(H2O)4Cl2]Cl.2H2O 4) [Co(H2O)3Cl3].3H2O Answer: (2) Millimoles of AgNO3 = [(1.2 x 1022) /... View Article

The most abundant elements by mass in the body of a healthy human adult are: Oxygen (61.4%); Carbon (22.9%), Hydrogen (10.0%); and Nitrogen (2.6%). The weight which a 75 kg person would gain if all ¹H atoms are replaced by ²H atoms is :

1) 7.5 kg 2) 10 kg 3) 15 kg 4) 37.5 kg Answer: (1) Mass of hydrogen = (10/100 ) * 75 = 7.5 kg Replacing 1H by 2H would replace 7.5 kg... View Article

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