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The fundamental frequency of a closed organ pipe of a length $20 \text{ cm}$ is equal to the second overtone of an organ pipe open at both ends. The length of the organ pipe open at both ends will be:
A stone falls under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂, and h₃ is:
A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms⁻¹ to 20 ms⁻¹ while passing through a distance of 135 m in t seconds. The value of t is:
Dimensional formula of magnetic flux is:
The initial velocity of a particle is $10 \text{ m/sec}$ and its retardation is $2 \text{ m/sec}^2$. The distance moved by the particle in the 5th second of its motion is:
A bus is moving with a speed of 10 ms⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what minimum speed should the scooterist chase the bus?
A stone falls freely under gravity. It covers distances h₁, h₂ and h₃ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h₁, h₂ and h₃ is:
Two bodies, A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is:
The displacement of a particle as a function of time is shown in the figure. The figure shows that
A particle is moving such that its position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s, and (13 m, 14 m) at time t = 5 s. The average velocity vector v_avg from t = 0 to t = 5 s is:
A car moves from X to Y with a uniform speed vᵤ and returns to X with a uniform speed v_d. The average speed for this round trip is:
Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration or retardation is:
The position of a particle with respect to time t along the x-axis is given by x = 9t² - t³ where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the +x-direction?
A particle moving along the x-axis has acceleration f, at time t, given by f = f₀(1 - t/T), where f₀ and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle’s velocity (vₓ) is:
The initial velocity of a particle is $u$ (at $t = 0$) and the acceleration $f$ is given by $at$. Which of the following relations is valid?
Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t₁. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t₂. The time taken by her to walk upon the moving escalator will be:
The acceleration of a moving body can be found from:
A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time $t_1$ if the elevator is moving uniformly and time $t_2$ if the elevator is stationary. Then:
The graph between the displacement $x$ and time $t$ for a particle moving in a straight line is shown in the figure. During the intervals OA, AB, BC, and CD, the acceleration of the particle is:
Which of the two ions from the list given below have the geometry that is explained by the same hybridisation of orbitals, $NO_2^-$, $NO_3^-$, $NH_2^-$, $NH_4^+$, $SCN^-$?