Physics Test 14...

The pitch of screw gauge is 1 mm and its circular scale is divided into 100 divisions. When nothing is put between the studs, the zero of main scale is not seen, but when circular scale is rotated by 450°, the zero of main scale is seen and the zero of main scale coincide with the zero of circular scale. When a glass plate is placed between the studs, the circular scale lies between 18^th to 19^th division of main scale and circular scale reads 34 divisions. Then,

The pressure and volume of an ideal gas are related as , where 'a' and 'b' are constant. The translational kinetic energy due to the thermal motion of the gas sample at volume V = b, given that ab = 12 kJ is n kJ. Find n.

Refer to the arrangement of logic gates. For A = 0, B = 0 and A = 1, B = 0, the values of output Y are, respectively :

A gas fills the right portion of a horizontal cylinder whose radius is 5.00 cm. The initial pressure of the gas is 101 kPa. A frictionless movable piston separates the gas from the left portion of the cylinder, which is evacuated and contains an ideal spring, as the drawing shows. The piston is initially held in place by a pin. The spring is initially unstrained, and the length of the gas-filled portion is 20.0 cm. When the pin is removed and the gas is allowed to expand, the length of the gas-filled chamber doubles when it finally reaches equilibrium. The initial and final temperatures are equal. Determine the spring constant of the spring (nearly). 

A bent tube of uniform cross section is mounted on a cart which is accelerating toward right with constant acceleration ‘a’. The total length of the liquid is . Find the level difference between two limbs in equilibrium. (a = 2 m/s², ℓ = 10m)

A metal plate has work function of 6 eV. Light of wavelength 200 nm falls on the plate. Photoelectrons are emitted in all possible directions. A magnetic field of 1T exists parallel to the plate as shown. What will be the maximum distance (in direction perpendicular to plate) from surface reached by emitted photoelectrons ? (Take m_e = 9 × 10^–31 kg) 

An object is subjected to an acceleration a = 4 + 3v. It is given that the displacement S = 0 when v = 0. The value of displacement when v = 3 m/s is:

In the circuit shown, the switch ‘S’ is closed at t = 0. Then the current through the battery after steady state reached is :

When the inductor (L) is removed from an LCR circuit, the time constant is 20 ms; when the capacitor is removed, the time constant is 50 µs. The frequency of resonance of the circuit, when the resistance R is removed, is :

A long wire carrying current ‘I’ is bent into the shape as shown in the figure. The net magnetic field intensity at the centre ‘O’ is :