Exams › JEE Advanced › Physics

A particle moves in a circle of radius r = 2 m with speed varying as v = 2t m/s. Match each value in Column-I with the correct physical quantity in Column-II. Column-I (values): (A) 2 (B) 18 (C) 45 (D) 90 Column-II (physical quantities): (P) Centripetal acceleration (m/s²) at t = 3 s (Q) Tangential acceleration (m/s²) at t = 1 s (R) Tangential acceleration (m/s²) at t = 2 s (S) Angle rotated (in degrees) in time sqrt(pi) s (T) Angle (in degrees) between net acceleration and velocity at t = 1 s Which Column-II entry matches with (A) = 2?

1. (P)
2. (Q)
3. (R)
4. (S)

Correct answer: (Q)

Solution

Tangential acceleration = dv/dt = 2 m/s² (constant), so value 2 matches (Q) tangential acceleration at t=1 s (and also R at t=2 s, but Q is the primary listed match). Full mapping: A->Q (and R), B->P, C->T, D->S.

Related JEE Advanced Physics questions

• Rain is falling at an angle α with respect to the vertical at a velocity of 10 m/s. A girl runs in the opposite direction to the rain at a speed of 8 m/s and observes that the rain appears to make an angle β with the vertical. What is the relationship between α and β?
• A vector A is turned by a very small angle Δθ radians (where Δθ is much less than 1) to form a new vector B. What is the magnitude of the difference |B − A|?
• A swimmer moves through water at a speed of v relative to the water. To cross a river of width d, which flows at a speed u (where u < v), the downstream displacement caused by the river's flow is x. Which of the following is accurate?
• A particle is launched from a point with an initial speed u at an angle θ above the horizontal. At a specific point during its motion, its velocity becomes perpendicular to its original direction. What is the time taken to reach this point?
• A particle of mass m is projected form the ground with an initial speed u₀ at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u₀. The angle that the composite system makes with the horizontal immediately after the collision is
• A projectile is launched from level ground with an initial velocity v at an angle θ to the horizontal. The range of the projectile is initially d when the gravitational acceleration is g. If, at the peak of its motion, the projectile enters a zone where the effective gravitational acceleration becomes g' = g/0.81, the new range becomes d'. What is the value of n?

⚔️ Practice JEE Advanced Physics free + battle 1v1 →