JEE Main 2024 · 4 Apr 2024 Shift 1

The equation of stationary wave is : y = 2a sin(2πnt/λ) cos(2πx/λ). Which of the following is NOT correct :

1. AThe dimensions of nt is [L]
2. BThe dimensions of x is [L]
3. CThe dimensions of n is [LT⁻¹]
4. DThe dimensions of n/λ is [T]

The co-ordinates of a particle moving in x-y plane are given by : x = 2 + 4t, y = 3t + 8t². The motion of the particle is :

1. Anon-uniformly accelerated.
2. Buniformly accelerated having motion along a straight line.
3. Cuniformly accelerated having motion along a parabolic path.
4. Duniform motion along a straight line.

A body travels 102.5 m in nth second and 115.0 m in (n + 2)th second. The acceleration is :

1. A5 m/s²
2. B6.25 m/s²
3. C12.5 m/s²
4. D9 m/s²

If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of total energy of the initial system as well as velocity ball before it strikes the ground, respectively, are :

1. A50%, √gh
2. B50%, √2gh
3. C40%, √2gh
4. D50%, √(gh/2)

A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is :

1. A0
2. BGmMπ²/L²
3. C2GmMπ/L²
4. DGMmπ/(2L²)

On celcius scale the temperature of body increases by 40°C. The increase in temperature on Fahrenheit scale is :

1. A72°F
2. B70°F
3. C75°F
4. D68°F

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 Ω and 10 Ω respectively. After inserting in a hot bath of temperature 400°C, the resistance of platinum wire is :

1. A8 Ω
2. B10 Ω
3. C16 Ω
4. D2 Ω

An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

1. Athe electron will be accelerated along the axis.
2. Bthe electron path will be circular about the axis.
3. Cthe electron will experience a force at 45° to the axis and execute a helical path.
4. Dthe electron will continue to move with uniform velocity along the axis of the solenoid.