A bob is whirled in a horizontal circle by means of a string at an initial speed of $$10$$ rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is: 1. $$20$$ rpm 2. $$40$$ rpm 3. $$5$$ rpm 4. $$10$$ rpm

Subtopic:  Uniform Circular Motion |
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NEET - 2024
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A metal cube of a side $$5~\text{cm}$$ is charged with $$6~\text{μC.}$$ The surface charge density on the cube is:
1. $$0.125\times10^{-3}~\text{C m}^{-2}$$
2. $$0.25\times10^{-3}~\text{C m}^{-2}$$
3. $$4\times10^{-3}~\text{C m}^{-2}$$
4. $$0.4\times10^{-3}~\text{C m}^{-2}$$
Subtopic:  Electric Charge |
From NCERT
NEET - 2024
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The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and $$\varepsilon$$ is a small positive number) is:
 1 $$\mu<\mu_{0}$$ 2 $$0\leqslant\mu_{\mathrm{r}}<1$$ 3 $$-1\leqslant\chi<0$$ 4 $$1<\mu_r<1+\varepsilon$$
Subtopic:  Magnetic Materials |
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An ideal fluid is flowing in a non-uniform cross-sectional tube $$XY$$ (as shown in the figure) from end $$X$$ to end $$Y.$$ If $$K_1$$ and $$K_2$$ are the kinetic energy per unit volume of the fluid at $$X$$ and $$Y$$ respectively, then the correct option is:

1. $$K_1\text=K_2$$
2. $${2K}_1\text={K}_2$$
3. $${K}_1>{K}_2$$
4. $${K}_1<{K}_2$$
Subtopic:  Bernoulli's Theorem |
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The escape velocity for Earth is $$v.$$ A planet having $$9$$ times the mass of Earth and a radius, $$16$$ times that of Earth, has the escape velocity of:
 1 $$\dfrac{v}{3}$$ 2 $$\dfrac{2v}{3}$$ 3 $$\dfrac{3v}{4}$$ 4 $$\dfrac{9v}{4}$$
Subtopic:  Escape velocity |
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An electron and an alpha particle are accelerated by the same potential difference. Let $$\lambda_\mathrm{e}$$ and $$\lambda_\mathrm{\alpha}$$ denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:
1. $$\lambda_{\mathrm{e}}>\lambda_{\alpha}$$
2. $$\lambda_{\mathrm{e}}=4\lambda_{\alpha}$$
3. $$\lambda_{\mathrm{e}}=\lambda_{\alpha}$$
4. $$\lambda_{\mathrm{e}}<\lambda_{\alpha}$$
Subtopic:  De-broglie Wavelength |
65%
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An object moving along a horizontal $$x\text-$$direction with kinetic energy $$10~\text J$$ is displaced through $$x=\left(3\hat{i}\right)\text{m}$$ by the force $$\vec{{{F}}}=\left(-2\hat{i}+3\hat{j}\right)~\text N.$$ The kinetic energy of the object at the end of the displacement $$x$$ is:
 1 $$10~\text J$$ 2 $$16~\text J$$ 3 $$4~\text J$$ 4 $$6~\text J$$
Subtopic:  Work Energy Theorem |
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An object falls from a height of $$10~\text m$$ above the ground. After striking the ground it loses $$50\%$$ of its kinetic energy. The height up to which the object can re-bounce from the ground is:
 1 $$7.5~\text m$$ 2 $$10~\text m$$ 3 $$2.5~\text m$$ 4 $$5~\text m$$
Subtopic:  Gravitational Potential Energy |
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In the circuit shown below, the inductance $$L$$ is connected to a source. The current flowing in the circuit is $${I=I_{0}\sin\omega t.}$$ The voltage drop $$(V_L)$$ across $$L$$ is:

1. $$\omega L~I_0\sin\omega t$$
2. $$\frac{{I}_0}{\omega{L}}\sin\omega t$$
3. $$\frac{{I}_0}{\omega{L}}\cos\omega t$$
4. $$\omega L~I_0\cos\omega t$$
Subtopic:  Different Types of AC Circuits |
From NCERT
NEET - 2024
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A $$12~\text{pF}$$ capacitor is connected to a $$50~\text V$$ battery, and the electrostatic energy stored in the capacitor in $$\text{nJ}$$ is:
1. $$15$$
2. $$7.5$$
3. $$0.3$$
4. $$150$$
Subtopic:  Energy stored in Capacitor |
67%
From NCERT
NEET - 2024