Physics-
General
Easy
Question
The displacement for a particle performing S.H.M. is given by
. If the initial position of the particle is Icm and its initial vebocity is p cms1, then what will be itsinitial phase? The, angular frequency of the particle is ps1
The correct answer is: ![fraction numerator 3 pi over denominator 4 end fraction](data:image/png;base64,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)
Related Questions to study
Physics-
As shown in figure, a spring attached to the ground vertically has a horizontal massless plate with a
mass in it. When the spring ( massless) is pressed slightly and released, the 2 kg mass, starts executing S.H.M. The force constant of the spring is
. For what minimum value of amplitude, will the mass loose contact with the plate? (Take g=10
)
![](data:image/png;base64,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)
As shown in figure, a spring attached to the ground vertically has a horizontal massless plate with a
mass in it. When the spring ( massless) is pressed slightly and released, the 2 kg mass, starts executing S.H.M. The force constant of the spring is
. For what minimum value of amplitude, will the mass loose contact with the plate? (Take g=10
)
![](data:image/png;base64,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)
Physics-General
Physics-
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n. P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance betwecn these two wall be
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)
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n. P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance betwecn these two wall be
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)
Physics-General
Physics-
The energy dissipated in a damped oscillation
The energy dissipated in a damped oscillation
Physics-General
Physics-
If the time period of undamped oscillation is T and that of damped oscillatin is T, then what is the relation between I&.
If the time period of undamped oscillation is T and that of damped oscillatin is T, then what is the relation between I&.
Physics-General
Physics-
Physics-General
Physics-
The screw gauges shown above has a zero error of -0.02 mm and 100 divisions on the circular scak What is the diameter of wire?
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)
The screw gauges shown above has a zero error of -0.02 mm and 100 divisions on the circular scak What is the diameter of wire?
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)
Physics-General
Physics-
the screw and stud touch each other, the edge of a certain screw gauge is to the right of the C mark on the main scale and 5th division of the circular scale coincides with the line of graduation then what is the value of zero error ?
the screw and stud touch each other, the edge of a certain screw gauge is to the right of the C mark on the main scale and 5th division of the circular scale coincides with the line of graduation then what is the value of zero error ?
Physics-General
Physics-
When the screw and stud touch each other, the edges of a certain screw gauge is on left of the C mark on the main scale and the 96th division of the circular scale coincides with the circular line
graduation then what is the value of zero error?
When the screw and stud touch each other, the edges of a certain screw gauge is on left of the C mark on the main scale and the 96th division of the circular scale coincides with the circular line
graduation then what is the value of zero error?
Physics-General
General
Write four letter j words
Write four letter j words
GeneralGeneral
General
Read and choose the correct answer.
This is my dog Max Max is a big black dog. He is good at running. He sleeps on a blue mat.
a) Mar is
my dog my cat my parrot
b) He is a big dog
Brown red Black
c) He is good at
running, jumping eating
Read and choose the correct answer.
This is my dog Max Max is a big black dog. He is good at running. He sleeps on a blue mat.
a) Mar is
my dog my cat my parrot
b) He is a big dog
Brown red Black
c) He is good at
running, jumping eating
GeneralGeneral
General
GeneralGeneral
General
Read the essay. Answer the questions.
Homemade oatmeal cookies are not only a better option than a candy bar ox pack of crackers, they actually good for
you, While processed foods it nutrients out during processing, homemade treats keep the nutrients in.
One one-once, homemade oatmeal cookies will give you up to 27 mg of folic of your daily recommended allowance
(R&A) B vitamin that your body uses to make energy
It will also give you small amounts of vitamin A vitamin k. Oatmeal cookies are also a good of iron -9% of the
R&A for men and 4% of the R&A for women. It also contains small amounts of potassium and zic. Finally, oatmeal cookie
we give you a whole gram of soluble fiber, which se "bad “cholesterol and lowers your risk g her disease. So the next
time you have a sweet lost don't try to talk yourself out of it. Simply mall smart choice, an have oatmeal cookie
What is the authors purpose in writing this article?
Read the essay. Answer the questions.
Homemade oatmeal cookies are not only a better option than a candy bar ox pack of crackers, they actually good for
you, While processed foods it nutrients out during processing, homemade treats keep the nutrients in.
One one-once, homemade oatmeal cookies will give you up to 27 mg of folic of your daily recommended allowance
(R&A) B vitamin that your body uses to make energy
It will also give you small amounts of vitamin A vitamin k. Oatmeal cookies are also a good of iron -9% of the
R&A for men and 4% of the R&A for women. It also contains small amounts of potassium and zic. Finally, oatmeal cookie
we give you a whole gram of soluble fiber, which se "bad “cholesterol and lowers your risk g her disease. So the next
time you have a sweet lost don't try to talk yourself out of it. Simply mall smart choice, an have oatmeal cookie
What is the authors purpose in writing this article?
GeneralGeneral
General
Identify the ending words in the paragraph
My name is Amber, I live in earth. Its one of the planet of solar system. I take special care of
my health and eat healthy food
Identify the ending words in the paragraph
My name is Amber, I live in earth. Its one of the planet of solar system. I take special care of
my health and eat healthy food
GeneralGeneral
General
GeneralGeneral
General
GeneralGeneral