JEE Main 2024 · 1 Feb 2024 Shift 2

Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving towards south with speed 108 km/h. Velocity of train B with respect to A and velocity of ground with respect to B are (in ms⁻¹) :

1. A−50 and 30
2. B50 and −30
3. C−50 and −30
4. D−30 and 50

A cricket player catches a ball of mass 120 g moving with 25 m/s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit) :

1. A12
2. B25
3. C30
4. D24

A body of mass 4 kg experiences two forces F⃗₁ = 5î + 8ĵ + 7k̂ and F⃗₂ = 3î − 4ĵ − 3k̂. The acceleration acting on the body is :

1. A2î + ĵ + k̂
2. B4î + 2ĵ + 2k̂
3. C2î + 3ĵ + 3k̂
4. D−2î − ĵ − k̂

A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and star is proportional to R⁻³ᐟ² then choose the correct option :

1. AT² ∝ R³
2. BT² ∝ R⁷ᐟ²
3. CT² ∝ R⁵ᐟ²
4. DT² ∝ R³ᐟ²

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :

1. A1/100th
2. B1/10th
3. C10 times
4. D100 times

A diatomic gas (γ = 1.4) does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is :

1. A600 J
2. B700 J
3. C800 J
4. D850 J

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of oxygen at the same condition in km/s is :

1. A0.5
2. B1.0
3. C1.5
4. D2.0

In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be :

1. AG/199
2. BG/200
3. C200 G
4. D199 G