# Change in acceleration due to gravity is same at height h above the Earth surface and  depth $$x ,$$ then relation between $$x$$ and $$h$$ is: ($$h$$ and $$x<<R_e$$) 1. $$x=h$$ 2. $$x=2h$$ 3. $$x=\frac h2$$ 4. $$x=h^2$$

Subtopic:  Acceleration due to Gravity |
77%
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A mass of $$1~\mathrm{kg}$$ is suspended from a spring of force constant $$400$$ N, executing SHM total energy of the body is $$2$$ J, then the maximum acceleration of the spring will be:
1. $$4 \mathrm{~m} / \mathrm{s}^2$$
2. $$40 \mathrm{~m} / \mathrm{s}^2$$
3. $$200 \mathrm{~m} / \mathrm{s}^2$$
4. $$400 \mathrm{~m} / \mathrm{s}^2$$

Subtopic:  Energy of SHM |
63%
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Two capacitors of capacities $$C_1$$ and $$C_2$$ are charged upto the potential $$V_1$$ and $$V_2,$$ then the condition for not flowing the charge between them when connected the capacitors, in parallel is:
1. $$C_1=C_2$$
2. $$C_1V_1=C_2V_2$$
3. $$V_1V_2$$
4. $$\frac{C_1}{V_1}=\frac{C_2}{V_2}$$

Subtopic:  Capacitance |
60%
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Find equivalent resistance between $$X$$ and $$Y$$:

1. $$R$$

2. $$R/L$$

3. $$2R$$

4. $$5R$$

Subtopic:  Combination of Resistors |
67%
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Vibrations of rope tied by two rigid ends shown by equation $$y=cos2\pi t\sin2\pi x,$$ then the minimum length of the rope will be:
1. $$1$$ m
2. $$\frac12$$ m
3. $$5$$ m
4. $$2\pi$$ m

Subtopic:  Standing Waves |
64%
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If we change the value of $$R,$$ then:

1. voltage does not change on $$L$$

2. voltage does not change on $$LC$$ combination

3. voltage does not change on $$C$$

4. voltage changes on $$LC$$ combination

Subtopic:  Different Types of AC Circuits |
54%
From NCERT
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If $$V=ar$$ where $$a$$ is a constant and $$r$$ is the distance, then the electric field at a point will be proportional to:
1. $$r$$
2. $$r^{-1}$$
3. $$r^{-2}$$
4. $$r^{0}$$

Subtopic:  Relation between Field & Potential |
73%
From NCERT
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Electric field at point 20 cm away from the centre of a dielectric sphere is 100 V/m, the radius of the sphere is 10 cm, then the value of the electric field at a distance 3 cm from the centre is:

1. 100 V/m

2. 125 V/m

3. 120 V/m

4. 0

Subtopic:  Gauss's Law |
60%
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50 g ice at 0°C in insulator vessel, 50 g water of 100 °C is mixed in it, and then final temperature of the mixture is: (neglect the heat loss)
1. 10°C
2. 0°C << Tm < 20°C
3. 20°C
4. above 20°C

Subtopic:  Calorimetry |
1. High $$R$$, low $$L$$
2. High $$R$$, high $$L$$
3. Low $$R$$, high $$L$$
4. High $$R$$, low $$C$$