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2. A Vernier calipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier calipers, the least count is
0.02 mm | 0.05 mm | 0.1 mm | 0.2 mm |
3. An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 kcal at the higher temperature. The amount of heat (in kcal) converted into work is equal to
4.8 | 3.5 | 1.6 | 1.2 |
4. A body of mass 100 gram, tied at the end of a string of length 3 m rotates in a vertical circle and is just able to complete the circle. If the tension in the string at its lowest point is 3.7 N, then its angular velocity will be ______ (g = 10 m/s^{2})
4 rad/s | 3 rad/s | 2 rad/s | 1 rad/s |
5. A car is moving with a speed of 30 m/s on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m/s^{2}. The acceleration of the car is
9.8 m/s^{2} | 1.8 m/^{2} | 2 m/s^{2} | 2.7 m/s^{2} |
6. A cyclist goes round a circular path of circumference 343 m in $\sqrt{22}$s. The angle made by him, with the vertical is
42° | 43° | 44° | 45° |
7. A cyclist turns around a curve at 15 miles per hour. If he turns at double the speed, the tendency of overturn is
doubled | quadrupled | halved | unchanged |
8. A particle of mass m is moving in a horizontal circle of radius R with uniform speed v. When it moves from one point to a diametrically opposite point its
kinetic energy changes by Mv^{2}/4 | momentum does not change | momentum changes by 2 Mv^{2} | kinetic energy changes by Mv^{2} |
9. A stone of mass 250 gram, attached at the end of a string of length 1.25 m is whirled in a horizontal circle at a speed of 5 m/s. What is the tension in the string?
2.5 N | 5 N | 6 N | 8 N |
10. A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the outer end is
$\dfrac{ML\omega^2}{2}$ | MLω^{2} | $\dfrac{ML^2\omega^2}{2}$ | $\dfrac{ML\omega^2}{4}$ |
11. Maximum acceleration of the train in which a 50 kg box lying on its floor will remain Stationery
(Given : Co–efficient of static friction between the box and the train’s floor is 0.3 and g = 10 ms^{–2})
5.0 ms^{–2} | 3.0 ms^{–2} | 1.5 ms^{–2} | 15 ms^{–2} |
12. A block of mass 10 kg moving in $x$ direction with a constant speed of 10 ms^{–1}, is subjected to a retarding force F = 0.1$x$ J/m during its travel from $x$ = 20 m to 30 m. Its final KE will be
475 J | 450 J | 275 J | 250 J |
13. Statement–1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement–2 : Principle of conservation of momentum holds true for all kinds of collisions.
Statement–1 is true, Statement–2 is false | Statement–1 is true, Statement–2 is true; Statement–2 is the correct explanation of Statement–1 | Statement–1 is true, Statement–2 is true; Statement–2 is the not the correct explanation of Statement–1 | Statement–1 is false, Statement–2 is true |
14. A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is
$\sqrt{\dfrac{mk}{2}} t^{–\dfrac{1}{2}}$ | $\sqrt{mk} t^{–\dfrac{1}{2}}$ | $\sqrt{2mk} t^{–\dfrac{1}{2}}$ | $\dfrac{1}{2}\sqrt{mk} t^{–\dfrac{1}{2}}$ |
15. The work function of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately:
540 nm | 400 nm | 310 nm | 220 nm |
16. According to Einstein s photoelectric equation, the plot of the kinetic energy of the emitted photoelectrons from a metal Vs the frequency, of the incident radiation gives a straight line whose slope:
depends on the nature of the metal used | depends on the intensity of the radiation | depends both on the intensity of the radiation and the metal used | is the same for all metals and independent of the intensity of the radiation |
17. Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is
+3 V | +4 V | –1 V | –3 V |
18. If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de–Broglie wavelength of the particle is
25 | 75 | 60 | 50 |
19. The following figure shows a logic gate circuit with two inputs A and B and the output C. The voltage waveforms of A, B and C are as shown below
circuit voltage waveforms.png" alt="logic gate circuit voltage waveforms" style="margin:0 auto;" />
The logic circuit gate is:
AND gate | NAND gate | NOR gate | OR gate |
20. Two charges, each equal to q, are kept at x = – a and x = a on the x–axis. A particle of mass m and charge q_{0} = q/2 is placed at the origin. If charge q_{0} is given a small displacement (y << a) along the y–axis, the net force acting on the particle is proportional to
y | –y | $\dfrac{1}{y}$ | –$\dfrac{1}{y}$ |
21. If a wire is stretched to make it 0.1% longer, its resistance will
increase by 0.05% | increase by 0.2% | decrease by 0.2% | decrease by 0.05% |
22. Shown in the figure below is a meter–bridge set up with null deflection in the galvanometer.
galvanometer.png" alt="meter–bridge with null deflection galvanometer" style="margin:0 auto;" />
The value of the unknown resistor R is
220 Ω | 110 Ω | 55 Ω | 13.75 Ω |
23. A 5V battery with internal resistance 2 Ω and a 2V battery with internal resistance 1 Ω are connected to a 10 Ω resistor as shown in the figure.
battery with internal resistance.png" alt="5V battery with internal resistance" style="margin:0 auto;" />
The current in the 10 Ω resistor is
0.03 A P_{1} to P_{2} | 0.03 A P_{2} to P_{1} | 0.27 A P_{1} to P_{2} | 0.27 A P_{2} to P_{1} |
24. A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be
1 A | 0.5 A | 0.25 A | 2 A |
25. A material ‘B’ has twice the specific resistance of ‘A’. A circular wire made of ‘B’ has twice the diameter of a wire made of ‘A’. Then for the two wires to have the same resistance, the ratio $l$_{A} / $l$_{B} of their respective lengths must be
1 | 2 | 1/2 | 1/4 |
28. At a specific instant, emission of radioactive compound is deflected in a magnetic field. The compound can emit
(i) electrons
(ii) protons
(iii) He^{2+}
(iv) neutrons
The emission at instant can be
i, ii, iii | i, ii, iii, iv | iv | ii, iii |
29. A radar has a power of 1 kW and is operating at a frequency of 10 GHz. It is located on a mountain top of height 500 m. The maximum distance up to which it can detect object located on the surface of the earth(Radius of earth = 6.4 × 10^{6} m) is :
80 km | 16 km | 40 km | 64 km |
*Click on the QNo to display a Question.
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