# The de-Broglie wavelength of the thermal electron at $$27^\circ \text{C}$$ is $$\lambda.$$ When the temperature is increased to $$927^\circ \text{C},$$ its de-Broglie wavelength will become: 1. $$2\lambda$$ 2. $$4\lambda$$ 3. $$\frac\lambda2$$ 4. $$\frac\lambda4$$

Subtopic:  De-broglie Wavelength |
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Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:

 1 increases with increasing altitude. 2 increases with increasing depth. 3 is independent of the mass of the earth. 4 is independent of the mass of the body.
Subtopic:  Acceleration due to Gravity |
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A particle of mass $$4M$$ kg at rest splits into two particles of mass $$M$$ and $$3M.$$ The ratio of the kinetic energies of mass $$M$$ and $$3M$$ would be:

 1 $$3:1$$ 2 $$1:4$$ 3 $$1:1$$ 4 $$1:3$$
Subtopic:  Collisions |
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During simple harmonic motion of a body, the energy at the extreme position is:

 1 both kinetic and potential 2 is always zero 3 purely kinetic 4 purely potential
Subtopic:  Energy of SHM |
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A fluid of density $$\rho~$$is flowing in a pipe of varying cross-sectional area as shown in the figure. Bernoulli's equation for the motion becomes:

1.  $$p+\frac12\rho v^2+\rho gh\text{=constant}$$
2. $$p+\frac12\rho v^2\text{=constant}$$
3. $$\frac12\rho v^2+\rho gh\text{=constant}$$
4. $$p+\rho gh\text{=constant}$$

Subtopic:  Bernoulli's Theorem |
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The ratio of the moments of inertia of two spheres about their diameter and having same mass and their radii in the ratio of $$1:2$$ is:
1. $$2:1$$
2. $$4:1$$
3. $$1:2$$
4. $$1:4$$

Subtopic:  Moment of Inertia |
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 Assertion (A): A standing bus suddenly accelerates. If there was no friction between the feet of a passenger and the floor of the bus, the passenger would move back. Reason (R): In the absence of friction, the floor of the bus would slip forward under the feet of the passenger.

 1 (A) is true but (R) is false. 2 (A) is false but (R) is true. 3 Both (A) and (R) are true and (R) is the correct explanation of (A). 4 Both (A) and (R) are true but (R) is not the correct explanation of (A).
Subtopic:  Newton's Laws |
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A linearly polarized monochromatic light of intensity $$10$$ lumen is incident on a polarizer. The angle between the direction of polarization of the light and that of the polarizer such that the intensity of output light is $$2.5$$ lumen is:

 1 $$60^\circ$$ 2 $$75^\circ$$ 3 $$30^\circ$$ 4 $$45^\circ$$
Subtopic:  Polarization of Light |
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The ratio of the radii of two circular coils is $$1:2$$. The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:
1. $$4:1$$
2. $$2:1$$
3. $$1:2$$
4. $$1:4$$

Subtopic:  Magnetic Moment |
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A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
1. infinity
2. $$0.5$$
3. zero
4. $$1$$

Subtopic:  Molar Specific Heat |
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