Assertion: Frictional forces are conservative forces.
Reason: Potential energy can be associated with frictional forces.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
Assertion: : For a system of particles under central force field, the total angular momentum is conserved.
Reason: The torque acting on such a system is zero.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
For a constant hydraulic stress on an object, the fractional change in the object's volume ( ΔV/V ) and its bulk modulus (B) are related as
Which of the following functions represents a simple harmonic oscillation?
sinωt cosωt
sin2ωt
sinωt + sin2ωt
sinωt sin2ωt
A.
sinωt cosωt
(a) SHM
The given function is
sin ωt cos ωt
Multiply and divide by on both side
⇒ =
=
Since
=
The function represent the SHM as it can be written in the form
Its period is
(b) Periodic but not SHM
the wave sin2ωt is periodic but not SHM because the acceleration in this motion is not proportional to the displacement yet it is periodic.
sin2ωt =
⇒ sinωt =
When t = T then 1 cos2ωt = 0
cos2ωt = 1
2ωt = 2
⇒ T =
Hence the option (a) represents the periodic function.
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D ( D >> d ) as shown in figure. If it is burning at the rate of 2 cm/hour then the top of the candle will
remain at the same height
fall at the rate of 1 cm/hour
fall at the rate of 2 cm/hour
go up at the rate of 1 cm/hour
A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity ω when
water levels in both sections A and B go up
water level in section A goes up and that in B comes down
water level in section A comes down and that in B it goes up
water levels remain same in both sections
A magnet is made to oscillate with a particular frequency, passing through a coil as shown in figure. The time variation of the magnitude of e.m.f. generated across the coil during one cycle is
Assertion: Specific gravity of a fluid is a dimensionless quantity
Reason: : It is the ratio of density of fluid to the density of water.
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If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
Assertion: Reversible systems are difficult to find in real world.
Reason : Most processes are dissipative in nature.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false