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A person sitting on the ground floor of a building notices through the window, of height $1.5 \text{ m}$, a ball dropped from the roof of the building crosses the window in $0.1 \text{ s}$. What is the velocity of the ball when it is at the topmost point of the window? ($g=10 \text{ m/s}^2$)
The velocity of a bullet is reduced from $200 \text{ m/s}$ to $100 \text{ m/s}$ while travelling through a wooden block of thickness $10 \text{ cm}$. The retardation, assuming it to be uniform, will be:
Two ideal diodes are connected to a battery as shown in the circuit. The current supplied by the battery is:
If a train travelling at $72 \text{ km/h}$ is to be brought to rest in a distance of $200 \text{ metres}$, then its retardation should be:
In SI, Henry is the unit of:
Velocity of a particle changes when:
A body starts from rest. What is the ratio of the distance travelled by the body during the 4th and 3rd second?
The dimensions $[MLT^{-2} A^{-2}]$ belong to the
The engine of a motorcycle can produce a maximum acceleration $5 \text{ m/s}^2$. Its brakes can produce a maximum retardation $10 \text{ m/s}^2$. What is the minimum time in which it can cover a distance of $1.5 \text{ km}$?
The distance travelled by a particle is proportional to the squares of time, then the particle travels with:
The displacement of a particle, moving in a straight line, is given by $s = 2t^2 + 2t + 4$ where $s$ is in metres and $t$ in seconds. The acceleration of the particle is:
Kirchhoff's junction rule is a reflection of: (a) conservation of the current density vector. (b) conservation of charge. (c) the fact that the momentum with which a charged particle approaches a junction is unchanged (as a vector) as the charged particle leaves the junction. (d) the fact that there is no accumulation of charges at a junction. Which of the above statements are correct?
If a car at rest accelerates uniformly to a speed of $144 \text{ km/h}$ in $20 \text{ s}$, then it covers a distance of:
The position $x$ of a particle varies with time $t$ as $x = at^2 - bt^3$. The acceleration of the particle will be zero at time $t$ equal to:
An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement (s) – velocity (v) graph of this object is
A particle moves along a straight line such that its displacement at any time $t$ is given by $S = t^3 - 6t^2 + 3t + 4$ metres. The velocity when the acceleration is zero is:
In a region, the potential is represented by $V(x, y, z) = 6x - 8xy - 8y + 6yz$, where $V$ is in volts and $x, y, z$ are in meters. The electric force experienced by a charge of $2$ coulomb situated at a point $(1, 1, 1)$ is:
A car starts from rest and moves with uniform acceleration '$a$' on a straight road from time $t = 0$ to $t = T$. After that, a constant deceleration brings it to rest. In this process the average speed of the car is:
The displacement $x$ of a particle varies with time $t$ as $x = ae^{-\alpha t} + be^{\beta t}$, where $a, b, \alpha$ and $\beta$ are positive constants. The velocity of the particle will:
Which of the following velocity-time graphs represent uniform motion?