A gravitational field is present in a region and a mass is shifted from \(A\) to \(B\) through different paths as shown. If \(\mathrm{W_1}\), \(\mathrm{W_2}\) and \(\mathrm{W_3}\) represent the work done by the gravitational force along their respective paths, then:
1. \(\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3\) 2. \(\mathrm{W}_1>\mathrm{W}_2>\mathrm{W}_3\)
3. \(\mathrm{W}_1>\mathrm{W}_3>\mathrm{W}_2\) 4. \(\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3\)

Subtopic:  Gravitational Potential Energy |
 85%
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The reciprocal of resistance is:
1. reactance 2. mobility
3. conductivity 4. conductance
Subtopic:  Derivation of Ohm's Law |
 79%
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Given below are two statements: 
Assertion (A): When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded.
Reason (R): Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
Subtopic:  Collisions |
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The threshold frequency of a photoelectric metal is \(\nu_0.\) If the light of frequency \(4\nu_0\) is incident on this metal, then the maximum kinetic energy of emitted electrons will be:
1. \(h\nu_0\) 2. \(2h\nu_0\)
3. \(3h\nu_0\) 4. \(4h\nu_0\)
Subtopic:  Einstein's Photoelectric Equation |
 83%
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The ratio of the magnitude of the magnetic field and electric field intensity of a plane electromagnetic wave in free space of permeability \(\mu_0\) and permittivity \(\varepsilon_0\) is:
(Given that \(c=\) velocity of light in free space)
1.  \(c\)
2.  \(\frac1c\)
3.  \(\frac{c}{\sqrt{\mu_0\varepsilon_0}}\)
4.  \(\frac{\sqrt{\mu_0\varepsilon_0}}{c}\)
Subtopic:  Properties of EM Waves |
 58%
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The shape of the magnetic field lines due to an infinite long, straight current carrying conductor is:
1. a straight line
2. circular
3. elliptical
4. a plane
Subtopic:  Magnetic Field due to various cases |
 69%
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Match List-I with List-II:
List-I
(x-y graphs)
List-II
(Situations)
(a) (i) Total mechanical energy is conserved
(b)   (ii) Bob of a pendulum is oscillating under negligible air friction
(c)   (iii) Restoring force of a spring
(d)   (iv) Bob of a pendulum is oscillating along with air friction

Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (iv) (ii) (iii) (i)
2. (iv) (iii) (ii) (i)
3. (i) (iv) (iii) (ii)
4. (iii) (ii) (i) (iv)
Subtopic:  Spring mass system |
 83%
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Given below are two statements: 
Statement-I: The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample.
Statement-II: The half life of a radionuclide is the sum of the left time of all nuclei, divided by the initial concentration of the nuclei at time \(t=0.\)
 In the light of the above statements, choose the most appropriate answer from the options given below:
 
1. Both Statement-I and Statement-II are correct.
2. Both Statement-I and Statement-II are incorrect.
3. Statement-I is correct but Statement-II is incorrect.
4. Statement-I is incorrect but Statement-II is correct.
 



 
Subtopic:  Radioactivity (OLD NCERT) |
 55%
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An ideal gas follows a process described by the equation \(PV^2=C\) from the initial \((P_1, V_1, T_1)\) to final \((P_2, V_2, T_2)\) thermodynamics states, where \(C\) is a constant. Then:
1. \(\text{If}~P_1>P_2~\text{then}~T_1<T_2\)
2. \(\text{If}~V_2>V_1~\text{then}~T_2>T_1\)
3. \(\text{If}~V_2>V_1~\text{then}~T_2<T_1\)
4. \(\text{If}~P_1>P_2~\text{then}~V_1>V_2\)
Subtopic:  Types of Processes |
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A standard filament lamp consumes \(100\) W when connected to \(200\) V AC mains supply. The peak current through the bulb will be:
1. \(0.707\) A
2. \(1\) A
3. \(1.414\) A
4. \(2\) A
Subtopic:  RMS & Average Values |
 70%
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