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:
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.
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.
In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is 10 ± 0.1 cm and the distance of its real image from the lens is 20 ± 0.2 cm. The error in the determination of focal length of the lens is 𝑛 %. The value of 𝑛 is ____ .
A ball falls freely from a height h on a rigid horizontal plane. If the coefficient of resolution is e, then the total distance travelled by the ball before hitting the plane second time is:
