1 Match the following fundamental forces of nature with their relative strength . A) A:II,B:IV,C:I,D:III B) A:III ,B:II,C:IV, D:I C) A:II,B:III,C:IV,D:I D) A:IV,B:II,C:I,D:II
2 How much pressure (in atm) is needed to compress a sample for water by 0.4 % ? (Assume , Bulk modulus of water = $2.0 \times 10^{9}$ Pa) A) 60atm B) 70 atm C) 80 atm D) 90 atm
3 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
4 For the circuits A and B as shown in the figure, identify the correct option A) Circuit A is for accurate measurement of high resistance and B is for low resistance B) Circuit A is for accurate measurement of low resistance and B is for high resistance C) Both circuits can accurately measured high resistance only D) Both circuits can accurately measured low resistance only
5 Consider a car initially at rest, starts to move along a straight road first with acceleration 5 m/s2 , then with uniform velocity and finally, decelerating at 5 m/s2, before coming to a stop. Total time taken from start to end is t=25 s. If the average velocity during that time is 72 km/hr, the car moved with uniform velocity for a time of A) 15 s B) 30s C) 155 s D) 2s
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 capacitor of capacitance 4$\mu$ F is charged to a potential difference of 6 V with a battery. The battery is removed and in its place another capacitor of capacitance is 8$\mu$ F introduced and the circuit is closed. The potential difference attained by each of the capacitors in V is A) 2 B) 4 C) 6 D) 8
9 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) $1.8 \times 10^{13}$
10 A carnot engine with efficiency $\eta$ operates between two heat reservoirs with temperatures $T_{1}$ and $T_{2}$ , where $T_{1} >T_{2}$ . If only $T_{1}$ is changed by 0.4% , the change in efficiency is $\triangle\eta_{1}$ , whereas if only $T_{2}$ is changed by 0.2% , the efficiency is changed by $\triangle\eta_{2}$ . The ratio $\frac{\triangle\eta_{1}}{\triangle\eta_{2}}$ is approximately A) -2 B) -4 C) +3 D) +4
11 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) $\frac{6}{5}R$
12 An iron rod of length 1.5 m lying on a horizontal table is pulled up from one end along a vertical line so as to move it with a constant velocity 3 m/s. while the other end of the rod slides along the floor. After how much time the speed of the end sliding on the floor equals to the speed of the end being pulled up A) $\frac{1}{2\sqrt{2}}s$ B) $\frac{1}{\sqrt{2}}s$ C) $3\sqrt{2}$s D) $\frac{1}{4}$
13 Two particles carrying equal charges move parallel to each other with the speed 150 km/s. If $F_{1}$ and $F_{2}$ are magnetic and electric forces between two charged particles then $\frac{|F_{1}|}{|F_{2}|}$ is $\left( Let \mu_{0}\epsilon_{0}=\frac{1}{9 \times 10^{16}} s^{2}/m^{2}\right)$ A) $1.0 \times 10^{-6}$ B) $1.5 \times 10^{-7}$ C) $3.0 \times 10^{-6}$ D) $2.5 \times 10^{-7}$
14 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) $\frac{\mu_{0}n^{}h}{2 \pi}ln\left(\frac{a}{b}\right)$
15 A person applies a sine wave and square wave to an AND gate as shown in the figure (i) and (ii) . Assuming that both the voltages are applied in phase , the person observers the output at E and F on (i) and (ii) , respectively. [Assume minimum voltage of 5V is equivalent to logic (i)] A) Sqaure wave at 50 Hz and square wave at 100 Hz B) Sine wave at 50 Hz and square wave at 100 Hz C) No output and sine wave at 100 Hz D) No output and pulsed wave at 100 Hz
