Maths-
General
Easy
Question
If f: R
R is an even function which is twice differentiable on R and 
- -1
- 0
- 1
- 2
The correct answer is: 1
Related Questions to study
Physics-
Half life of 
is 5 days. If we start with 50,000
atoms of this isotope, the number of atoms left over after 10
days is
Half life of is 5 days. If we start with 50,000
atoms of this isotope, the number of atoms left over after 10
days is
Physics-General
Physics-
If radius of the 
nucleus is estimated to be 3.6 Fermi then the radius of 
nucleus be nearly
If radius of the nucleus is estimated to be 3.6 Fermi then the radius of nucleus be nearly
Physics-General
Physics-
In any fission process the ratio 
is
In any fission process the ratio is
Physics-General
Physics-
The nuclear reaction 
(mass of deuteron = 2.0141 a.m.u. and mass of He = 4.0024 a.m.u.) is
The nuclear reaction (mass of deuteron = 2.0141 a.m.u. and mass of He = 4.0024 a.m.u.) is
Physics-General
Physics-
The average number of prompt neutrons produced per fission of 
is
The average number of prompt neutrons produced per fission of is
Physics-General
Physics-
In a nuclear fission reaction
In a nuclear fission reaction
Physics-General
Physics-
Figure given below shows two identical parallel plate capacitors connected to a battery with switch 
closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric
Figure given below shows two identical parallel plate capacitors connected to a battery with switch closed. The switch is now opened and the free space between the plate of capacitors is filled with a dielectric of dielectric constant 3. What will be the ratio of total electrostatic energy stored in both capacitors before and after the introduction of the dielectric
Physics-General
Physics-
In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat
In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady stat
Physics-General
Physics-
An infinite number of identical capacitors each of capacitance 
are connected as in adjoining figure. Then the equivalent capacitance between 
and 
is
An infinite number of identical capacitors each of capacitance are connected as in adjoining figure. Then the equivalent capacitance between and is
Physics-General
Physics-
Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of 
. The charge on plates 1 and 4 will be
Five identical plates each of area A are joined as shown in the figure. The distance between the plates is d. The plates are connected to a potential difference of . The charge on plates 1 and 4 will be
Physics-General
Physics-
A charged particle q is shot towards another charged particle Q which is fixed, with a speed 
. It approaches Q upto a closest distance r and then returns. If q were given a speed 
, the closest distances of approach would be
A charged particle q is shot towards another charged particle Q which is fixed, with a speed . It approaches Q upto a closest distance r and then returns. If q were given a speed , the closest distances of approach would be
Physics-General
Physics-
Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively
Six charges, three positive and three negative of equal magnitude are to be placed at the vertices of a regular hexagon such that the electric field at O is double the electric field when only one positive charge of same magnitude is placed at R. Which of the following arrangements of charges is possible for P, Q, R, S, T and U respectively
Physics-General
Physics-
Three charges 
and 
are placed as shown in the figure. The x-component of the force on 
is proportional to
Three charges and are placed as shown in the figure. The x-component of the force on is proportional to
Physics-General
Physics-
A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is 
. When parallel plates are charged, the time period changes to 
. The ratio 
is equal to
A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is . When parallel plates are charged, the time period changes to . The ratio is equal to
Physics-General
Physics-
Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible
Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible
Physics-General
