JEE Advanced 2010 · Paper 1

A real gas behaves like an ideal gas if its

1. Apressure and temperature are both high
2. Bpressure and temperature are both low
3. Cpressure is high and temperature is low
4. Dpressure is low and temperature is high

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100 W, 60 W and 40 W bulbs have filament resistances R₁₀₀, R₆₀ and R₄₀, respectively, the relation between these resistances is

1. A1/R₁₀₀ = 1/R₄₀ + 1/R₆₀
2. BR₁₀₀ = R₄₀ + R₆₀
3. CR₁₀₀ > R₆₀ > R₄₀
4. D1/R₁₀₀ > 1/R₆₀ > 1/R₄₀

An AC voltage source of variable angular frequency ω and fixed amplitude V₀ is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When ω is increased

1. Athe bulb glows dimmer
2. Bthe bulb glows brighter
3. Ctotal impedance of the circuit is unchanged
4. Dtotal impedance of the circuit increases

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true ?

1. AError ΔT in measuring T, the time period, is 0.05 seconds
2. BError ΔT in measuring T, the time period, is 1 second
3. CPercentage error in the determination of g is 5%
4. DPercentage error in the determination of g is 2.5%

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 ms⁻¹. Which of the following statement(s) is (are) correct for the system of these two masses ?

1. ATotal momentum of the system is 3 kg ms⁻¹
2. BMomentum of 5 kg mass after collision is 4 kg ms⁻¹
3. CKinetic energy of the centre of mass is 0.75 J
4. DTotal kinetic energy of the system is 4 J