Physics

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be

The total charge on the system of capacitors $C_1=1\mu F,C_2=2\mu F,C_3=4\mu Fand{C}_4=3\mu F$ connected in parallel is:

(Assume a battery of 20V is connected to the combination)

The current I in the above given circuit will be

B_X and B_Y are the magnetic fields at the centre of two coils X and Y respectively each carrying equal current. If coil X has 200 turns and 20 cm radius and coil Y has 400 turns and 20 cm radius, the ratio of B_X and B_Y is

A charge particle is moving in uniform magnetic field $\left(2\widehat{i}+3\widehat{j}\right)$ T. If it has an acceleration of $\left(\alpha \widehat{i}-4\widehat{j}\right)m/s^2$ , then the value of will be

In a series LR circuit X_L = R and power factor of the circuit is P₁. When capacitor with capacitance C such that X_L = X_C is put in series, the power factor becomes P₂. The ratio $\frac{P_1}{P_2}$  is

The magnetic field of a plane electromagnetic wave is given by: $\overrightarrow{B}=2*10^{-8}$ sin(0.5 * 10³x + 1.5 * 10¹¹t) $\widehat{j}$ T. The amplitude of the electric field would be

In Young's double slit experiment, the fringe width is 12mm. If the entire arrangement is placed in water refractive index $\frac{4}{3}$ , then the fringe width becomes (in mm)

A parallel beam of light of wavelength 900nm and intensity 100Wm^-2 is incident on a surface perpendicular to the beam. The number of photons crossing 1cm² area perpendicular to the beam in one second is

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minutes later, the rate becomes 2250 disintegrations per minute. The approximate decay constant is:

(Take log₁₀ 1.88 = 0.274)