For the following questions answer them individually

Question 1

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

Question 2

A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is

Question 3

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

Question 4

Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:

Question 5

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is

Question 6

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

Question 7

Which one of the following represents forward bias diode?

Question 8

The photoelectric threshold wavelength of silver is $$3250 \times 10^{-10} m.$$ The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength $$2536 \times 10^{-10} m$$ is
(Given $$h = 4.14 \times 10^{-15} eVs and c = 3 \times 10^8 ms^{-1})$$

Question 9

Two cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]

Question 10

Figure shows a circuit contains three identical resistors with resistance $$R = 9.0 Ω$$ each, two identical inductors with inductance L = 2.0 mH each, and an ideal battery with emf $$\epsilon = 18 V$$. The current 'I' through the battery just after the switch closed is

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