1 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
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 A solid spherical ball rolls on a horizontal surface at 10 m/s and continuous to roll up on an inclined surface as shown in the figure.If the mass of balls is 11 kg and frictional losses are negligible, the value of h where the ball stop and starts rolling down the inclination is (Assume , g =10 m/s2 ) A) 8 m B) 6 m C) 7 m D) 10 m
5 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
6 In Young's double-slit experiment , a thin sheet of refractive index 1.6 is used to cover one slit while a thin the sheet of refractive index 1.3 is used to cover the second slit. The thickness of both the sheets are same and the wavelength of light used in 600nm. If the central point on the screen is now occupied by what had been the 10th bright fringe (m=10) , then the thickness of covering sheets is A) 50$\mu$ m B) 8$\mu$ m C) 20$\mu$ m D) 40$\mu$ m
7 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
8 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
9 Albert Einstein was confirmed with the Nobel prize physics for his work on A) special theory of relativity B) Bose-Einstein statistics C) photoelectric effect D) general realtivity
10 A body of mass 0.3 kg hangs by a spring with a force constant of 50N/m . The amplitude of oscillations is damped and reaches $\frac{1}{e}$ of its original value in about 100 oscillations. If $\omega$ and $\omega'$ are the angular frequencies of undamped and damped oscillations respectively , then percentage of $\left(\frac{\omega-\omega'}{\omega}\right)$ is A) $\left(\frac{1}{800 \pi}\right)$ B) $\left(\frac{\pi^{2}}{600 }\right)$ C) $\left(\frac{1}{800\pi^{2} }\right)$ D) $\left(\frac{\pi}{400 }\right)$
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 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
13 A drone fitted with siren in flying directly away from the drone operator and towards a distant building at a speed of 15 m/s . The siren produces the sound of frequency 780Hz. What is the frequency that the operator hears in the echo refected from the building,[ speed of sound is 340 m/s] A) 766 Hz B) 800 Hz C) 816Hz D) 840Hz
14 A current carrying conductor obeys Ohm's law (V= RI). If the current passing through the conductor is $l=(5\pm0.2)$A and voltage developed is $V=(60\pm6)$ V , then find the percentage of error is resistance, R A) 18 B) 6 C) 14 D) 2
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) $\frac{\mu_{0}n^{}h}{2 \pi}ln\left(\frac{a}{b}\right)$
