# In hydrogen spectrum, the shortest wavelength in the Balmer series is $$\lambda$$. The shortest wavelength in the Bracket series is: 1. $$16\lambda$$ 2. $$2\lambda$$ 3. $$4\lambda$$ 4. $$9\lambda$$

Subtopic:  Spectral Series |
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Resistance of a carbon resistor determined from colour codes is $$(22000 \pm 5 \%) ~\Omega$$. The colour of third band must be:
1. Yellow
2. Red
3. Green
4. Orange
Subtopic:  Colour Coding of Resistors (OLD NCERT) |
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A vehicle travels half the distance with speed $$v$$ and the remaining distance with speed $$2v$$. Its average speed is:
1. $$\frac{3v}{4}$$
2. $$\frac{v}{3}$$
3. $$\frac{2v}{3}$$
4. $$\frac{4v}{3}$$
Subtopic:  Average Speed & Average Velocity |
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The potential energy of a long spring when stretched by $$2$$ cm is $$U$$. If the spring is stretched by $$8$$ cm, potential energy stored in it will be:
 1 $$16U$$ 2 $$2U$$ 3 $$4U$$ 4 $$8U$$
Subtopic:  Elastic Potential Energy |
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A bullet is fired from a gun at the speed of $$280$$ ms–1 in the direction $$30^\circ$$ above the horizontal. The maximum height attained by the bullet is: ($$g=9.8$$ ms–2, $$\mathrm{sin}30^{0}=0.5$$ )
 1 $$3000$$ m 2 $$2800$$ m 3 $$2000$$ m 4 $$1000$$ m
Subtopic:  Projectile Motion |
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The half-life of a radioactive substance is $$20$$ minutes. In how much time, the activity of substance drops to $$(\frac{1}{16})^{\mathrm{th}}$$ of its initial value?
1. $$80$$ minutes
2. $$20$$ minutes
3. $$40$$ minutes
4. $$60$$ minutes
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The net magnetic flux through any closed surface is:
1. negative
2. zero
3. positive
4. infinity
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A metal wire has mass $$(0.4\pm 0.002)~\mathrm{g}$$, radius $$(0.3\pm 0.001)~\mathrm{mm}$$ and length $$(5\pm 0.02)~\mathrm{cm}$$. The maximum possible percentage error in the measurement of density will nearly be:
1. $$1.4 \%$$
2. $$1.2 \%$$
3. $$1.3 \%$$
4. $$1.6 \%$$
Subtopic:  Errors |
From NCERT
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The angular acceleration of a body, moving along the circumference of a circle, is:
 1 along the axis of rotation 2 along the radius, away from centre 3 along the radius towards the centre 4 along the tangent to its position
Subtopic:  Rotational Motion: Kinematics |
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The magnetic energy stored in an inductor of inductance $$4~\mathrm{\mu H}$$ carrying a current of $$2~\text{A}$$ is:
1. $$8~\mathrm{\mu J}$$
2. $$4~\mathrm{\mu J}$$
3. $$4~\mathrm{mJ}$$
4. $$8~\mathrm{mJ}$$
Subtopic:  Self - Inductance |
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