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A projectile is fired at an angle of $45^{\circ}$ with the horizontal. The elevation angle $\alpha$ of the projectile at its highest point as seen from the point of projection is:
At point A on the earth's surface, the angle of dip is, $\delta=+25^\circ$. At a point B on the earth's surface, the angle of dip is, $\delta=-25^\circ$. We can interpret that:
A wire of length $L$ and radius $r$ ($r \ll L$) is kept floating on the surface of a liquid of density $\rho$. The maximum radius of the wire for which it may not sink is: (the surface tension of liquid is $T$)
The magnitude and direction of the current in the following circuit is
A missile is fired for a maximum range with an initial velocity of $20 \text{ m/s}$. If $g=10 \text{ m/s}^2$, then the range of the missile will be:
The following four wires are made of the same material. Which of them will have the largest extension when the same tension is applied?
A particle has initial velocity $(3\hat{i}+4\hat{j})$ and has acceleration $(0.4\hat{i}+0.3\hat{j})$. Its speed after $10 \text{ s}$ is:
What is the value of linear velocity if $\vec{\omega} = 3\hat{i} - 4\hat{j} + \hat{k}$ and $\vec{r} = 5\hat{i} - 6\hat{j} + 6\hat{k}$:
A ball is thrown upwards and it returns to the ground describing a parabolic path. Which of the following remains constant?
A ball is projected with velocity $v_0$ at an angle of elevation $30^{\circ}$. Mark the correct statement.
The velocity of a projectile at the initial point $A$ is $(2\hat{i} + 3\hat{j}) \text{ m/s}$. Its velocity (in m/s) at point $B$ (the point where it hits the ground at the same horizontal level) is:
The viscous drag acting on a metal sphere of diameter $1 \text{ mm}$, falling through a fluid of viscosity $0.8 \text{ Pa-s}$ with a velocity of $2 \text{ m s}^{-1}$ is nearly equal to:
A particle is moving in a horizontal circle with constant speed. It has constant:
A boat crosses a river with a velocity of $8 \text{ km/h}$. If the resulting velocity of boat is $10 \text{ km/h}$, then the velocity of river water is:
A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 s his displacement relative to the ground will be:
A particle moves so that its position vector is given by $\mathbf{r} = \cos(\omega t)\hat{x} + \sin(\omega t)\hat{y}$ where $\omega$ is a constant. Based on the information given, which of the following is true?
A particle has an initial velocity $(3\hat{i} + 4\hat{j})$ and an acceleration $(0.4\hat{i} + 0.3\hat{j})$. Its speed after $10 \text{ s}$ is:
The human body does not produce:
Two non-mixing liquids of densities $\rho$ and $n\rho$ ($n>1$) are put in a container. The height of each liquid is $h$. A solid cylinder floats with its axis vertical and length $L$. The length of the cylinder inside the denser liquid is $pL$ ($p<1$). The density of the cylinder is $d$. The density $d$ is equal to:
The pair of compounds that can exist together is: