Physics-

#### A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance below the highest point such that

Physics-General

#### Answer:The correct answer is: From law of conservation of energy, potential energy of fall gets converted to kinetic energy.

Also, the horizontal component of force is equal centrifugal force.

From Eq. (i)

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### Related Questions to study

maths-

#### Polar of origin (0, 0) w.r.t. the circle touches the circle , if

#### Polar of origin (0, 0) w.r.t. the circle touches the circle , if

maths-General

physics-

#### For the circuit shown in figure the charge on 4F capacitor is

Combined capacity of and = 1 + 5=

Now, and are in series.

Charge in the arm containing capacitor is

Now, and are in series.

Charge in the arm containing capacitor is

#### For the circuit shown in figure the charge on 4F capacitor is

physics-General

Combined capacity of and = 1 + 5=

Now, and are in series.

Charge in the arm containing capacitor is

Now, and are in series.

Charge in the arm containing capacitor is

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#### The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

Charge on each plate of each capacitor

#### The four capacitors, each of 25 F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

physics-General

Charge on each plate of each capacitor

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#### Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s ^{-1} The frequency of the incident light in s^{-1} is [h=6 x 10^{-34}J-sec;charge on the electron=1.6x10^{-19}C]

#### Electrons ejected from the surface of a metal, when light of certain frequency is incident on it, are stopped fully by a retarding potential of 3 volts Photo electric effect in this metallic surface begins at a frequency 6 x 1014s ^{-1} The frequency of the incident light in s^{-1} is [h=6 x 10^{-34}J-sec;charge on the electron=1.6x10^{-19}C]

physics-General

physics-

#### The effective capacitance between points and shown in figure. Assuming F and that outer capacitors are all F is

The arrangement shows a Wheatstone bridge.

As therefore the bridge is balanced.

Similarly,

effective capacitance

As therefore the bridge is balanced.

Similarly,

effective capacitance

#### The effective capacitance between points and shown in figure. Assuming F and that outer capacitors are all F is

physics-General

The arrangement shows a Wheatstone bridge.

As therefore the bridge is balanced.

Similarly,

effective capacitance

As therefore the bridge is balanced.

Similarly,

effective capacitance

physics-

#### Trajectories of two projectiles are shown in figure. Let and be the time periods and and their speeds of projection. Then

Maximum height and time of flight depend on the vertical component of initial velocity

Here

Range

Here

Range

#### Trajectories of two projectiles are shown in figure. Let and be the time periods and and their speeds of projection. Then

physics-General

Maximum height and time of flight depend on the vertical component of initial velocity

Here

Range

Here

Range

physics-

#### In a circuit shown in figure, the potential difference across the capacitor of 2 F is

#### In a circuit shown in figure, the potential difference across the capacitor of 2 F is

physics-General

physics-

#### A frictionless track ends in a circular loop of radius figure. A body slides down the track from point which is at a height cm. Maximum value of for the body to successfully complete the loop is

For successfully completing the loop,

#### A frictionless track ends in a circular loop of radius figure. A body slides down the track from point which is at a height cm. Maximum value of for the body to successfully complete the loop is

physics-General

For successfully completing the loop,

physics-

#### A body is projected up a smooth inclined plane with a velocity from the point as shown in figure. The angle of inclination is and top of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of ? Length of the inclined plane is , and

Let be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so

or

or

Taking motion of the body from to along the inclined plane we have

As

or or

or

or

Taking motion of the body from to along the inclined plane we have

As

or or

#### A body is projected up a smooth inclined plane with a velocity from the point as shown in figure. The angle of inclination is and top of the plane is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of ? Length of the inclined plane is , and

physics-General

Let be the velocity acquired by the body at which will be moving making an angle with the horizontal direction. As the body just crosses the well so

or

or

Taking motion of the body from to along the inclined plane we have

As

or or

or

or

Taking motion of the body from to along the inclined plane we have

As

or or

physics-

#### Four capacitors are connected as shown in figure. The equivalent capacitance between and is

Capacitance between A and B

#### Four capacitors are connected as shown in figure. The equivalent capacitance between and is

physics-General

Capacitance between A and B

physics-

#### A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position *X* are respected by

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#### A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position *X* are respected by

physics-General

The forces acting on the ball will be (i) in the direction opposite to its motion frictional force and(ii) weight .

maths-

#### The equation of the circumcircle of the triangle formed by the lines and y=0 is

#### The equation of the circumcircle of the triangle formed by the lines and y=0 is

maths-General

physics-

#### Which of the substance or has the highest specific heat? The temperature time graph is shown

Substances having more specific heat take longer time to get heated to a higher temperature and longer time to get cooled.

If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that

If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that

#### Which of the substance or has the highest specific heat? The temperature time graph is shown

physics-General

Substances having more specific heat take longer time to get heated to a higher temperature and longer time to get cooled.

If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that

If we draw a line parallel to the time axis then it cuts the given graphs at three different points. Corresponding points on the times axis shows that

maths-

#### The ellipse and the straight line y = mx + c intersect in real points only if

= 1

Þ (b

D > 0 Þ m

Þ (b

^{2}+ a^{2}m^{2}) x^{2}+ 2 mca^{2}x + a^{2}(c^{2 }- b^{2}) = 0D > 0 Þ m

^{2}c^{2}a^{4}- a^{2}(c^{2}- b^{2})(b^{2}+ a^{2}m^{2}) > 0 Þ b^{2}+ a^{2}m^{2}> c^{2}#### The ellipse and the straight line y = mx + c intersect in real points only if

maths-General

= 1

Þ (b

D > 0 Þ m

Þ (b

^{2}+ a^{2}m^{2}) x^{2}+ 2 mca^{2}x + a^{2}(c^{2 }- b^{2}) = 0D > 0 Þ m

^{2}c^{2}a^{4}- a^{2}(c^{2}- b^{2})(b^{2}+ a^{2}m^{2}) > 0 Þ b^{2}+ a^{2}m^{2}> c^{2}physics-

#### A ball of mass kg is attached to the end of a string having length 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is

component will cancel

Component will provide necessary centripetal force the ball towards center

Component will provide necessary centripetal force the ball towards center

*C.*#### A ball of mass kg is attached to the end of a string having length 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in rad/s) is

physics-General

component will cancel

Component will provide necessary centripetal force the ball towards center

Component will provide necessary centripetal force the ball towards center

*C.*