Physics

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging stream of water strikes the ground at the maximum range is _____ m.

In the given figure the magnetic flux through the loop increases according to the relation φB(t) = 10t² + 20t, where φB is in milliwebers and t is in seconds. The magnitude of current through R = 2Ω resistor at t = 5s is _____ mA.

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic is μ_k . Then, the block's acceleration 'a' is given by :

(g is acceleration due to gravity)

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation F = F₀[1 - ((t-T)/T)²]
Where F₀ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is:

A physical 'y' is represented by the formula y = m²r⁻⁴gˣl⁻³/² if the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the value of x and p.

The expected graphical representation of the variation of angle of deviation 'δ' with angle of incidence 'i' in a prism is:

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservation force F(x) acts on it. Suppose that E_mech = 8J, the incorrect statement for this system is:

An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitored by CRO would look close to :

A simple pendulum of mass 'm', length 'l' and charge '+q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be:

A conducting wire of length ' l ',area of cross-section A and electric resistivity ρ is connected between the terminals of a battery. A potential difference V is developed between its ends causing an electric current. If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would be :