1 One mole of nitrogen gas being initially at a temperature of T0 =300K is adiabatically compressed to increase its pressure 10 times .The final gas temperature after compression is (Assume , nitrogen gas molecules as rigid diatomic and $100^{1/7}$= 1.9) A) 120K B) 750 K C) 650 K D) 570K
2 The collision of an electron with kinetic energy 5.5 eV and a hydrogen atom in its ground state can be described as A) completely inelastic B) may be completely inelastic C) may be partially elastic D) elastic
3 The logic circuit below has the truth table same as that of A) NOR gate B) NAND gate C) AND gate D) OR gate
4 Which of the following represents fundamental force of nature ? A) Gravitational force, Coulomb's force : strong surface tension force; weak van der Waal's force B) Gravitational force; electromagnetic force; strong viscous force; weak nuclear force C) Gravitational force; magnetostatic force; strong nuclear force; weak frictional force D) Gravitational force; electromagnetic force; strong nuclear force; Weak nuclear force
5 A mass of 2kg initially at a height of 1.2 m above an uncompressed spring with spring constant $2 \times 10^{4} $ N/m, is released from rest to fall on the spring. Taking the acceleration due to gravity as 10 m/s2 and neglecting the air resistance, the compression of the spring in mm is A) 20 B) 40 C) 50 D) 60
6 Statement A Convection involves the flow of matter within a fluid due to unequal temperature of its parts Statement B A hot bar placed under a running tap water loses heat due to the effect of convection with in water Statement C Heat transfer always involves temperature different between two systems. Identify the correct option A) A, B, C are true B) Only A and C are true C) Only A and B are true D) Only B and C are true
7 An ideal gas is placed in a tank at $27^{0} C$. The pressure is initially 600 kPa. One-fourth of the gas is then released from the tank and thermal equilibrium is established. What will be the pressure if the temperature is $327^{0}$ C? A) 900 kPa B) 1000 kPa C) 1050 kPa D) 1250 kPa
8 A photodiode sensor is used to measure the output of a 300W lamp kept 10 m away. The sensor has an opening of 2 cm in diameter. How many photons enter the sensor if the wavelength of the light is 660 nm and the exposure time is 100 ms.(Assume that all the energy of the lamp is given off as light and h=$6.6 \times 10^{-34}$ Js) A) $3.6 \times 10^{13}$ B) $2.8 \times 10^{13}$ C) $2.5 \times 10^{13}$ D) $1.8 \times 10^{13}$
9 In a transistor circuit, the collector current is changed by 8.9 mA, if the emitter current is changed to 9.0 mA . The value of current amplification factor $\beta$ is A) 89 B) 92 C) 84 D) 96
10 A particle A moves along the line, y=30m with a constant velocity, v parallel to the x-axis. At the momemt particle A passes the y-axis, particle B starts from the origin witrh zero initial speed and a constant acceleration .$a=0.40 m/sec^{2}$ . The angle between a and y-axis is $60^{0}$. If the particles A and B collide after sometimes , then the value of |v| will be A) 2 m/s B) 3 m/s C) 4 m/s D) 5 m/s
11 A water tank kept on the ground has an orifice of 2 mm diameter on the vertical side. What is the minimum height of the water above the orifice for which the output flow of water is found to be turbulent? [ Assume g=10 m/s2, $\rho_{water}$= 103 kg/m3, viscosity =1 centi-poise] A) 3 cm B) 4 cm C) 6 cm D) 2 cm
12 A metal plate of thickness 2mm and area $36 \pi cm^{2}$ is slide into a parallel plate capacitor of plate spacing 6 mm and are $36 \pi cm^{2}$ . The metal plate is at a distance 3 mm from one of the plates. What is the capacitance of this arrangement? $\left( Let\frac{1}{4 \pi \in_{0}}=9 \times 10^{9} Nm^{2}C^{-2}\right)$ A) 8 pF B) 15 pF C) 25pF D) 20pF
13 For the circuit shown in the figure, calculate the resistance between points A and B A) 0.5 R B) R C) 15 R D) $\frac{6}{5}R$
14 Identify the correct option A) The rang of the gravitonal force is large but not infinite B) The range of electromagnetic force is large but lesser than the range of gravitational force C) The range of weak nuclear force is smaller than the range of strong nuclear force, gravitation force and electromagnetic force D) The range of the weak as well as strong nuclear force is of the the order of $10^{-10}$ m
15 Consider a toroid with rectangular cross-section, of inner radius a, outer radius b and height h, carrying n number of turns. Then the self-inductance of the toroidal coil when current I passing through the toroid is A) $\frac{\mu_{0}n^{2}h}{2 \pi}ln\left(\frac{b}{a}\right)$ B) $\frac{\mu_{0}n^{}h}{2 \pi}ln\left(\frac{b}{a}\right)$ C) $\frac{\mu_{0}n^{2}h}{2 \pi}ln\left(\frac{a}{b}\right)$ D) $\frac{\mu_{0}n^{}h}{2 \pi}ln\left(\frac{a}{b}\right)$