A network of six identical capacitors, each of value C, is made as shown in the figure.

The equivalent capacitance between the points A and B is

• $\frac{4\mathrm{C}}{11}$

• 3C/4

• 3C/2

• 3C

52.

The amplitude of the sinusoidially oscillating electric field of a plane wave is 60 V/m. Then the amplitude of magnetic field is

• 2 × 10² T

• 6 × 10⁷ T

• 6 × 10² T

• 2 × 10^-7 T

The ratio of the resistance of conductor at temperature 15°C to its resistance at temperature 37.5°C is 4 : 5. The temperature coefficient of resistance the conductor is

• $\frac{1}{25}°{\mathrm{C}}^{-1}$

• $\frac{1}{50}°{\mathrm{C}}^{-1}$

• $\frac{1}{80}°{\mathrm{C}}^{-1}$

• $\frac{1}{75}°{\mathrm{C}}^{-1}$

Find the potential at the centre of a square of side $\sqrt{2}$ m which carries at its four corners charges q₁ = 3 × 10^-6 C, q₂ = − 3 × 10^-6 C, q₃ = − 4 × 10^-6 C, q₄ = 7 × 10^-6 C

• 2.7 × 10⁴ V

• 1.5 × 10³ V

• 3 × 10² V

• 5 × 10³ V

A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is

• 2.96 × 10^-4 H

• 5.3 × 10^-5 H

• 3.52 × 10^-3 H

• 8.3 × 10^-5 H

In Young's experiment, using red light (A = 6600 $\stackrel{\circ }{\mathrm{A}}$ ), 60 fringes are seen in the field of view. How many fringes will be seen by using violet light (A = 4400 $\stackrel{\circ }{\mathrm{A}}$) ?

• 10

• 20

• 45

• 90

The range of frequencies allotted for FM radio is

• 88 to 108 kHz

• 88 to 108 MHz

• 47 to 230 kHz

• 47 to 230 MHz

The binding energy per nucleon for deuteron and helium are 1.1 MeV and 7.0 MeV. The energy released when two deuterons fuse to form a helium nucleus is

• 23.6 MeV

• 2.2 MeV

• 30.2 MeV

• 3.6 MeV

The surface area ofa black body is 5 x 10^-4 m² and its temperature is 727°C. The energy radiated by it per minute is (σ = 5.67 × 10^-8 J/m² s-k⁴)

• 1.7 × 10³ J

• 2.5 × 10² J

• 8 × 10³ J

• 3 × 10⁴ J

The inputs and outputs for different time intervals are given below the NAND gate

The values taken by P, Q, R, S are respectively

• 1, 1, 1, 0

• 0, 1, 0, 1

• 0, 1, 0, 0

• 1, 0, 1, 1