1. As the speed of charged particle increases in a cyclotron, (choose True (T) or False (F))
(a) the particle moves to a larger circle
(b) there is relativistic change in the mass of the particle
(c) frequency of the cyclotron has to be adjusted
A. F, F, F
B. T, T, T
C. T, F, T
D. T, T, F
Answer - Option B
Explanation -
All 3 points are true about charged particle in cyclotron whose speed increases. Particle moves to a larger circle, its relativistic mass changes
because of speed change and frequency of cyclotron has to be adjusted.
2. The formula R = [latex]\frac{{R}_{1} {R}_{2}}{{R}_{1} + {R}_{2}}[/latex] represents
A. series connection
B. parallel connection
C. bridge connection
D. linear connection
Answer - Option B
Explanation -
When two resistances are in parallel, the formula gives the value of combined resistance of the circuit.
3. The earth conductor provides a path to ground for
A. circuit current
B. leakage current
C. over current
D. high voltage
Answer - Option B
Explanation -
Earth conductor allows path for the leakage current in the body of the equipment or tool to ground.
4. If the mass of sun, earth and distance between them is respectively M, m and r; work done by the sun's gravity on earth for one revolution
round the sun is
A. 0
B. [latex]\frac{GMm}{{r}^{2}}[/latex]
C. [latex]\frac{GMm}{r}2\pi[/latex]
D. [latex]\frac{GMm}{{r}^{2}}2 \pi[/latex]
Answer - Option A
Explanation -
Work done is zero because force is always perpendicular to the direction of movement of the earth. Also another way to look at this is earth returns to the same point after one revolution so work done must be zero as there are no latent energy forms involved.
5. The choke of a tube light works on the principle of
A. bi-metallic
B. capacitance
C. inductance
D. ionization
Answer - Option C
Explanation -
Choke works on inductance principle. The function of choke is to provide high voltage enough for ionization to take place in a tube light and after establishment and sustenance of ionization, limit the voltage across the tube. That is the reason why a tube fuses when the choke is shorted.
6. In the figure below, what is the acceleration of body with mass [latex]{m}_{2}[/latex], given g is the acceleration due to gravity (assume pulley and surfaces are
smooth)
A. g
B. [latex]\frac{{m}_{1} + {m}_{2}}{{m}_{1}}[/latex]g
C. [latex]\frac{{m}_{1} + {m}_{2}}{{m}_{2}}[/latex]g
D. [latex]\frac{{m}_{2}}{{m}_{1} + {m}_{2}}[/latex]g
Answer - Option d
Explanation -
Force = m.a Here m = [latex]{m}_{1} + {m}_{2}[/latex] But force applied is [latex]{m}_{2}[/latex] g. Therefore acceleration = F/m
7. Which of the following statements is correct?
A. Speed of light in vacuum is 3 × [latex]{10}^{8}[/latex] m/s
B. Speed of light is different for different colours
C. Speed of light is different in different media
D. All of the above
Answer - Option D
Explanation -
All the statements are correct. Speed of light changes in different media and it is different for different colours in media other than vacuum.
8. In Heisenberg's Uncertainty principle, the uncertainty of momentum and position of a particle can be
A. reduced using smaller wavelength of probing light
B. reduced using larger wavelength of probing light
C. reduced using high energy probe particles accelerated by cyclotron
D. can't be reduced as it is fundamentally inherent
Answer - Option D
Explanation -
The uncertainty of position and momentum of particle in Heisenberg's Uncertainly principle cannot be reduced because it is inherent.
9. The speed of sound in air is approximately equal to :
A. 3 × [latex]{10}^{8}[/latex] m/s
B. 330 m/s
C. 5000 m/s
D. 1500 m/s
Answer - Option B
10. 'When a body is wholly or partially, immersed in a fluid, it experiences an upthrust equal to the weight of the fluid displaced'. This is known as:
A. Pascal's principle
B. Archimedes principle
C. Stoke's law
D. Newton's Laws of Motion
Answer - Option B
Explanation -
Archimedes' principle states that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces and acts in the upward direction at the center of mass of the displaced fluid.
11. Which one of the following is not a scalar quantity?
A. Volume
B. Mass
C. Force
D. Length
Answer - Option C
Explanation -
Force is a vector quantity. F = m.a and the direction of acceleration will determine the direction of force.
12. The resultant of two forces P and Q acting at an angle 0, is given by :
A. [latex]\sqrt{{P}^{2} + {Q}^{2} + 2tan θ}[/latex]
B. [latex]\sqrt{{P}^{2} + {Q}^{2} + 2sin θ}[/latex]
C. [latex]\sqrt{{P}^{2} + {Q}^{2} + 2cos θ}[/latex]
D. P + Q + 2PQtan θ
Answer - Option C
Explanation -
Whenever two vector quantities are added, their resultant vector is given by this formula.
[latex]\sqrt{{P}^{2} + {Q}^{2} + 2cos θ}[/latex]
13. A cyclotron is a :
A. Bunch of Gamma Rays
B. High Frequency Oscillator
C. Particle Accelerator
D. None of these
Answer - Option C
Explanation -
A cyclotron accelerates charged particles outwards from the center along a spiral path. The particles are held to a spiral trajectory by a static magnetic field and accelerated by a rapidly varying (radio frequency) electric field.
14. The nucleus of an atom generally, contains :
A. Protons and Neutrons
B. Protons and Electrons
C. Electrons and Neutrons
D. Only Neutrons
Answer - Option A
Explanation -
Both protons and neutrons are found in the nucleus and are together called nucleons. However, electrons revolve in orbits outside of the nucleus.
15. A bullet is fired vertically upwards with a velocity of 196 m/sec. What is the maximum height
reached by the bullet ? (Assuming g = 9.8 m/[latex]{sec}^{2}[/latex] )
A. 1960 m
B. 196 m
C. 980 m
D. 490 m
Answer - Option A
Explanation -
[latex]{v}^{2} - {u}^{2}[/latex]= 2as
0 - [latex]{(196)}^{2}[/latex] = -2 * 9.8 * s
s = 1960