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Two moles of an ideal gas with Cp/Cv = 5/3 are mixed with 3 moles of another ideal gas with Cp/Cv = 4/3. The value of Cp/Cv for the mixture is

a. 1.47 b. 1.4 c. 1.42 d. 1.50 Answer: (c) For γ = Cp/Cv = 5/3 Using formula Cp = Rγ/γ-1 Cv = R/γ-1 Cp = 5R/2 Cv = 3R/2 Similarly for... View Article

A long solenoid of radius R carries a time (t) dependent current I(t) = I₀t(1 − t). A ring of radius 2R is placed coaxially near its middle. During the time instant 0 ≤ t ≤ 1, the induced current (IR) and the induced EMF (V_R) in the ring changes as:

a. Direction of IR remains unchanged and VR is maximum at t = 0.5 b. Direction of IR remains unchanged and VR is zero at t = 0.25 c. At t = 0.5... View Article

A 60 HP electric motor lifts an elevator with a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to (Given 1 HP = 746 W, g = 10 m/s²)

a. 1.5 m/s b. 1.7 m/s c. 2.0 m/s d. 1.9 m/s Answer: (d) P = Fv + Mgv Applied power = 4000 × v + 20000 v 60 × 246 = 4000 v +... View Article

Which of the following gives reversible operation?

Answer: (c) Since, there is only one input hence the operation is reversible.... View Article

A polarizer-analyzer set is adjusted such that the intensity of light coming out of the analyzer is just 10 % of the original intensity. Assuming that the polarizer-analyzer set does not absorb any light, the angle by which the analyser need to be rotated further to reduce the output intensity to be zero is

a. 45o b. 90o c. 71.6o d. 18.40 Answer: (d) Intensity after polarisation through polaroid = Iocos2φ So, 0.1Io = Iocos2φ ⇒cosφ = √0.1... View Article

A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time per unit area received due to the sunlight is 700 Wm⁻² and it is absorbed by the water over an effective area of 0.05 m². Assuming that the heat loss from the water to the surroundings is governed by Newton’s law of cooling, the difference (in ℃) in the temperature of water and the surroundings after a long time will be _____________.

(Ignore the effect of the container, and take constant for Newton’s law of cooling = 0.001 s−1, the Heat capacity of water = 4200 J... View Article

The inductors of two LR circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistances, mutual-inductance and applied voltages are specified in the given circuit. After both the switches are closed simultaneously, then total work done by the batteries against the induced in the inductors by the time the currents reach their steady-state values is________mJ.

Answer: 55... View Article

A cubical solid aluminium (bulk modulus = -V (dP/dV) = 70 GPa) block has an edge length of 1m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration due to gravity to be 10³ kg m⁻³ and 10 ms⁻², respectively, the change in the edge length of the block in mm is _____.

Answer: 0.23 to 0.24 B = V (dP/dV) Finding the magnitude of the change in the volume:- 70 x 109 = V/dV x 103 x 10 x 5 x 103 7 x 109 = V/dV x... View Article

Two capacitors with capacitance values C₁ = 2000 and plusmn; 10 pF and C₂ = 3000 ± 15 pF are connected in series. The voltage applied across this combination is = 5.00 ± 0.02 V. The percentage error in the calculation of the energy stored in this combination of capacitors is _______.

Answer: 1.30% ET = (1/2) Ceq V2 Assuming (Ceq = C) 1/C = 1/C1 + 1/C2 = 1/2000 + 1/3000 = 5/6000 C = 1200 pF dF/E = dC/C + 2dV/V 1/C... View Article

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Archives

Two moles of an ideal gas with Cp/Cv = 5/3 are mixed with 3 moles of another ideal gas with Cp/Cv = 4/3. The value of Cp/Cv for the mixture is

A long solenoid of radius R carries a time (t) dependent current I(t) = I₀t(1 − t). A ring of radius 2R is placed coaxially near its middle. During the time instant 0 ≤ t ≤ 1, the induced current (IR) and the induced EMF (V_R) in the ring changes as:

A 60 HP electric motor lifts an elevator with a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to (Given 1 HP = 746 W, g = 10 m/s²)

Which of the following gives reversible operation?

Two capacitors with capacitance values C₁ = 2000 and plusmn; 10 pF and C₂ = 3000 ± 15 pF are connected in series. The voltage applied across this combination is = 5.00 ± 0.02 V. The percentage error in the calculation of the energy stored in this combination of capacitors is _______.

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