Physics-
General
Easy
Question
A particle is moving on a circular path of radius
with uniform velocity
. The change in velocity when the particle moves from
to
is![blank left parenthesis angle P O Q equals 40 degree right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
The correct answer is: ![2 v sin invisible function application 20 degree](data:image/png;base64,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)
Change in velocity ![equals 2 v sin invisible function application open parentheses theta divided by 2 close parentheses equals 2 v sin invisible function application 20 degree](data:image/png;base64,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)
Related Questions to study
Maths-
Maths-General
physics-
A small mass
is attached to a massless string whose other end is fixed at
as shown in the figure. The mass is undergoing circular motion in the
plane with centre at
and constant angular speed
. If the angular momentum of the system, calculated about
and
are denoted by
and
respectively, then
![](data:image/png;base64,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)
A small mass
is attached to a massless string whose other end is fixed at
as shown in the figure. The mass is undergoing circular motion in the
plane with centre at
and constant angular speed
. If the angular momentum of the system, calculated about
and
are denoted by
and
respectively, then
![](data:image/png;base64,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)
physics-General
Physics-
Two wires
and
are tied at
of small sphere of mass 5 kg, which revolves at a constant speed
in the horizontal circle of radius 1.6 m. The minimum value of
is
![](data:image/png;base64,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)
Two wires
and
are tied at
of small sphere of mass 5 kg, which revolves at a constant speed
in the horizontal circle of radius 1.6 m. The minimum value of
is
![](data:image/png;base64,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)
Physics-General
Maths-
Maths-General
physics-
A meter bridge is set up as shown in figure, to determine an unknown resistance ‘X’ using a standard 10 ohm resistor. The galvanometer shows null point when tapping - key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of ‘X’ is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/447635/1/927780/Picture51.png)
A meter bridge is set up as shown in figure, to determine an unknown resistance ‘X’ using a standard 10 ohm resistor. The galvanometer shows null point when tapping - key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determined value of ‘X’ is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/447635/1/927780/Picture51.png)
physics-General
chemistry-
The concentration of electrolyte required to coagulate a given amount of
sol is minimum in the case of
The concentration of electrolyte required to coagulate a given amount of
sol is minimum in the case of
chemistry-General
physics-
To verify ohm’s law, a student is provided with a test resistor RT , a high resistance R1 , a small resistance R2 , two identical galvanometers G1 and G2 , and a variable voltage source V. The correct circuit to carry out the experiment is
To verify ohm’s law, a student is provided with a test resistor RT , a high resistance R1 , a small resistance R2 , two identical galvanometers G1 and G2 , and a variable voltage source V. The correct circuit to carry out the experiment is
physics-General
physics-
If by mistake, voltmeter is connected in series with the resistance then i-v curve expected is (Here i = reading of ammter ,v=reading of voltmeter)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/447570/1/927713/Picture41.png)
If by mistake, voltmeter is connected in series with the resistance then i-v curve expected is (Here i = reading of ammter ,v=reading of voltmeter)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/447570/1/927713/Picture41.png)
physics-General
maths-
maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General
Maths-
Maths-General