The displacement of a particle executing SHM is given by y = 0.25 sin200t cm. The maximum speed of the particle is
200 cm s-1
100 cm s-1
50 cm s-1
5.25 cm s-1
A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillations with a time period T. If the mass is increased by m, then the time period becomes . The ratio of is
9/16
5/4
25/16
4/5
A wave is represented by the equation y= 0.5 sin(10t x) metre It is a travelling wave propagating along +x direction with velocity
10 m s-1
20 m s-1
5 m s-1
None of these
The frequency of oscillations of a mass m connected horizontally by a spring of spring constant k is 4 Hz. When the spring is replaced by two identical spring as shown in figure. Then the effective frequency is
4
1.5
1.31
2
Assertion: The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola.
Reason: Potential energy and kinetic energy do not vary linearly with position.
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: The specific heat of a gas in an adiabatic process is zero and in an isothermal process is infinite.
Reason: Specific heat of gas is directly proportional to change of heat in system and inversely proportional to change in temperature.
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: In an adiabatic process, change in internal energy of a gas is equal to work done on or by the gas in the process.
Reason: Temperature of gas remains constant in an adiabatic process.
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.
Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge, ( if k = 1/4 ) is
A voltmeter of resistance 20000 Ω reads 5 volt. To make it read 20 volt, the extra resistance required is
40000 Ω in parallel
60000 Ω in parallel
60000 Ω in series
40000 Ω in series
C.
60000 Ω in series
⇒ R = 3 G
= 3 × 20000
⇒ R= 6000
Extra resistance = 60000 Ω in series
Ten identical cells each of potential E and internal resistance r are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read
10 E
3 E
13 E
7 E