Two objects of mass $$10$$ kg and $$20$$ kg respectively are connected to the two ends of a rigid rod of length $$10$$ m with negligible mass. The distance of the center of mass of the system from the $$10$$ kg mass is:
1. $$5$$ m
2. $$\frac{10}{3} \mathrm{~m}$$
3. $$\frac{20}{3} \mathrm{~m}$$
4. $$10$$ m
Subtopic:  Center of Mass |
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Match List - I with List - II.
 List -I (Electromagnetic waves) List - II (Wavelength) (a) AM radio waves (i) $$10^{-10}~\mathrm{m}$$ (b) Microwaves (ii) $$10^{2} \mathrm{~m}$$ (c) Infrared radiations (iii) $$10^{-2} \mathrm{~m}$$ (d) X-rays (iv) $$10^{-4} \mathrm{~m}$$
Choose the correct answer from the options given below:
 (a) (b) (c) (d) 1. (ii) (iii) (iv) (i) 2. (iv) (iii) (ii) (i) 3. (iii) (ii) (i) (iv) 4. (iii) (iv) (ii) (i)
Subtopic:  Electromagnetic Spectrum |
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The energy that will be ideally radiated by a $$100$$ kW transmitter in $$1$$ hour is:
1. $$1\times 10^{5}$$ J
2. $$36\times 10^{7}$$ J
3. $$36\times 10^{4}$$ J
4. $$36\times 10^{5}$$ J
Subtopic:  Power |
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An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric, and isochoric. The curve which represents the adiabatic process among $$1,$$ $$2,$$ $$3$$ and $$4$$ is:

1. $$4$$
2. $$1$$
3. $$2$$
4. $$3$$
Subtopic:  Types of Processes |
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Plane angle and solid angle have:

 1 both units and dimensions 2 units but no dimensions 3 dimensions but no units 4 no units and no dimensions
Subtopic:  Dimensions |
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In half-wave rectification, if the input frequency is $$60$$ Hz, then the output frequency would be:
1. $$120$$ Hz
2. zero
3. $$30$$ Hz
4. $$60$$ Hz
Subtopic:  Rectifier |
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When two monochromatic lights of frequency, $$\nu$$ and $$\frac{\nu}{2}$$ are incident on a photoelectric metal, their stopping potential becomes $$\frac{V_{s}}{2}$$ and $$V_s$$, respectively. The threshold frequency for this metal is:
1. $$\frac{3}{2} \nu$$
2. 2$$\nu$$
3. 3$$\nu$$
4. $$\frac{2}{3} \nu$$
Subtopic:  Einstein's Photoelectric Equation |
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The displacement-time graphs of two moving particles make angles of $$30^\circ$$ and $$45^\circ$$ with the x-axis as shown in the figure. The ratio of their respective velocity is:

1. $$1: \sqrt{3}$$
2.$$\sqrt{3}: 1$$
3. $$1:1$$
4. $$1:2$$

Subtopic:  Graphs |
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The dimensions [MLT-2A-2] belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic:  Dimensions |
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The peak voltage of the ac source is equal to:
1.$$1 / \sqrt{2}$$ times the rms value of the ac source
2. the value of voltage supplied to the circuit
3. the rms value of the ac source
4. $$\sqrt{2}$$ times the rms value of the ac source
Subtopic:  RMS & Average Values |
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