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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:
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:
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:
A wave in a string has an amplitude of $2 \text{ cm}$. The wave travels in the positive direction of the x-axis with a speed of $128 \text{ m/s}$ and it is noted that $5$ complete waves fit in the $4 \text{ m}$ length of the string. The equation describing the wave is:
The first ionization enthalpies of elements X and Y are 419 kJ mol⁻¹ and 590 kJ mol⁻¹, respectively and the second ionization enthalpies of X and Y are 3069 kJ mol⁻¹ and 1145 kJ mol⁻¹, respectively. The correct statement is:
Given is a reaction for your reference: The final product [C] is:
The first ionization potential of Be and B will be:
A tuning fork with a frequency of $800 \text{ Hz}$ produces resonance in a resonance column tube with the upper end open and the lower end closed by the water surface. Successive resonances are observed at lengths of $9.75 \text{ cm}$, $31.25 \text{ cm}$, and $52.75 \text{ cm}$. The speed of the sound in the air is:
The correct order of 1st IP (ionization potential) among the following elements Be, B, C, N, O is:
Given below are two statements: Assertion (A): A glass tube partially filled with water represents an open organ pipe. Reason (R): The open end corresponds to an antinode and the end in contact with water, to a node. In the light of the above statements, choose the correct answer from the options given below:
The correct order of ionic radii is:
The $4^{\text{th}}$ overtone of a closed organ pipe is the same as that of the $3^{\text{rd}}$ overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:
The length of the string of a musical instrument is $90\text{ cm}$ and has a fundamental frequency of $120\text{ Hz}$. Where should it be pressed to produce a fundamental frequency of $180\text{ Hz}$?
Identify Z in the following reaction: $CH_3CH_2CH=CH_2 \xrightarrow{B_2H_6} \xrightarrow{H_2O, H_2O_2, OH^-} Z$
The reagents with which glucose does not react to give the corresponding test/products are: A. Tollen's reagent B. Schiff's reagent C. $\text{HCN}$ D. $\text{NH}_2\text{OH}$ E. $\text{NaHSO}_3$ Choose the correct option: