A projectile is thrown at a speed V and at an angle with the horizontal. If the speed at its maximum height is \(\frac{V}{3}\),then the value of tan θ is:
An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force $F=2 N$ In the process of its linear motion, the angle $\theta$ (as shown in figure) between the direction of force and horizontal varies as $\theta=k x$, where $k$ is a constant and $x$ is the distance covered by the object from its initial position The expression of kinetic energy of the object will be $E=\frac{n}{k} \sin \theta$ The valte of $n$ is
A series LCR circuit is connected to a 45 sin (ωt) volt source. The resonant angular frequency of the circuit is 105 rad/sec and the current amplitude at resonance is I0. When the angular frequency of the source is ω = 8 x 104 rad/sec, the current amplitude in the circuit is 0.05 I0. If m = 50 mH, match each entry in the list - I with an approximate value from list - II and choose the option.
The Wheatstone bridge shown in the diagram is balanced. If P3 is the power dissipated by R3 and P1 is the power dissipated by R1, then the ratio P3/P1 is:
For the following logic circuit, the truth table is:
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion (A): Range of a horizontal projectile is maximum when angle of projection is \(θ = 45°\).Reason (R): Range is maximum when \(sin\ (2θ)=1\).In the light of the above statements, choose the correct answer from the options given below
A body is moving with constant speed, in a circle of radius $10 m$ .The body completes one revolution in 4 s .At the end of 3 rd second, the displacement of body (in mi) from its starting point is :
A person of height 1.6 m is walking away from a lamp post of height 4 m along a straight path on the flat ground. The lamp post and the person are always perpendicular to the ground. If the speed of the person is 60 cm s−1, the speed of the tip of the person’s shadow on the ground with respect to the person is _______ cm s−1.