Sun light falls normally on a surface of area $$36{\mathrm{cm}}^2$$ and exerts an average force of $$7.2\times 10^{-9}\mathrm{N}$$ within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is

Match List - I with List - II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top} .tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top} .tg .tg-fymr{border-color:inherit;font-weight:bold;text-align:left;vertical-align:top} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} List - I List - II (a) UV rays (i) Diagnostic tool in medicine (b) X-rays (ii) Water purification (c) Microwave (iii) Communication, Radar (d) Infrared wave (iv) Improving visibility in foggy days Choose the correct answer from the options given below :

A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m$$-$$3/2 s$$-$$1).

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is

Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively.

A particle experiences a variable force $$\overrightarrow{F}=\left(4x\hat{i}+3y^2\hat{j}\right)$$ in a horizontal x-y plane. Assume distance in meters and force is newton. If the particle moves from point (1, 2) to point (2, 3) in the x-y plane, then Kinetic Energy changes by :

A body of mass $$0.5\mathrm{kg}$$ travels on straight line path with velocity $$v=\left(3x^2+4\right)\mathrm{m}/\mathrm{s}$$. The net workdone by the force during its displacement from $$x=0$$ to $$x=2\mathrm{m}$$ is :

A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms$$-$$1 gets embedded in it, then loss of kinetic energy will be :

As per the given figure, two blocks each of mass $$250\mathrm{g}$$ are connected to a spring of spring constant $$2{\mathrm{Nm}}^{-1}$$. If both are given velocity $$v$$ in opposite directions, then maximum elongation of the spring is :

Sand is being dropped from a stationary dropper at a rate of $$0.5{\mathrm{kgs}}^{-1}$$ on a conveyor belt moving with a velocity of $$5{\mathrm{ms}}^{-1}$$. The power needed to keep the belt moving with the same velocity will be :

A bullet of mass $$200\mathrm{g}$$ having initial kinetic energy $$90\mathrm{J}$$ is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to $$40\mathrm{J}$$ within $$1\mathrm{s}$$, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is

A ball is projected with kinetic energy E, at an angle of $$60^{\circ }$$ to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :

For a series LCR circuit, I vs $$\omega$$ curve is shown : (a) To the left of $$\omega$$r, the circuit is mainly capacitive. (b) To the left of $$\omega$$r, the circuit is mainly inductive. (c) At $$\omega$$r, impedance of the circuit is equal to the resistance of the circuit. (d) At $$\omega$$r, impedance of the circuit is 0. Choose the most appropriate answer from the options given below :

If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

The current flowing through an ac circuit is given by I = 5 sin(120$$\pi$$t)A How long will the current take to reach the peak value starting from zero?

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F and R = 100 $$\Omega$$. The phase difference ($$\Phi$$) between the applied voltage and resultant current will be :

Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; overflow:hidden;padding:10px 5px;word-break:normal;} .tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px; font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;} .tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top} List - I List -II (A) AC generator (I) Detects the presence of current in the circuit (B) Galvanometer (II) Converts mechanical energy into electrical energy (C) Transformer (III) Works on the principle of resonance in AC circuit (D) Metal detector (IV) Changes an alternating voltage for smaller or greater value Choose the correct answer from the options given below :

If wattless current flows in the AC circuit, then the circuit is :

Given below are two statements : Statement I : The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor. Statement II : In ac circuit, the average power delivered by the source never becomes zero. In the light of the above statements, choose the correct answer from the options given below.

A resistance of 40 $$\Omega$$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value to the rms value :