The potential energy of a body is given by \(U = A - Bx^2\) (where \(x\) is the displacement) the magnitude of the force acting on the particle is:
1. constant
2. proportional to \(x\)
3. proportional to \(x^2\)
4. inversely proportional to \(x\)

Subtopic:  Potential Energy: Relation with Force |
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When a ceiling fan is switched on, it makes \(10\) revolutions in the first \(3\) sec. Assuming a uniform angular acceleration, how many rotations it will make in the next \(3\) sec?
1. \(10\)
2. \(20\)
3. \(30\)
4. \(40\)

Subtopic:  Circular Motion |
 52%
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A hollow sphere of volume \(V\) is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water?
1. \(\frac V2\)
2. \(\frac V3\)
3. \(\frac V4\)
4. \(V\)

Subtopic:  Pressure |
 53%
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Which one of the following sets of quantum numbers represents the highest energy level in an atom?
1. \(n=4,l=0,m=0,s=+\frac12\)
2. \(n=3,l=1,m=1,s=+\frac12\)
3. \(n=3,l=2,m=-2,s=+\frac12\)
4. \(n=3,l=0,m=0,s=+\frac12\)

Subtopic:  Shell & Subshell |
 72%
From NCERT
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  \(CH_3COOH\xrightarrow{~~~Br_2/P~~~}~Y~\xrightarrow[(ii)~H_3O^+~~]{(i)~KCN}~X\)
Here, \(X\) is:
1.  glycolic acid
2.  a-hydroxy propionic acid
3.  succinic acid
4.  malonic acid
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Acetic anhydride is prepared in the laboratory by heating sodium acetate with:
1.  Ethyl chloride
2.  acetyl chloride
3.  Cone. Hp0 4
4.  zinc dust

 60%
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For the homogeneous reaction, 
    \(4NH_3+5O_2~\rightleftharpoons~4NO+6H_2O\)
The equilibrium constant K, has the units:
1. Conc.+10
2. Conc.+1
3. Conc.-1
4. It is dimensionless

 

 62%
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For the reaction, 
  \(NH_3+OCl^-~\longrightarrow~N_2H_4+Cl^-\)
Occurring in basic medium, the coefficient of N 2H4 in the balanced equation will be:

1.  1
2.  2
3.  3
4.  4
 59%
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Which one of the following has a coordinate bond?
 

1.  NH4Cl
2.  AlCl3
3.  NaCl
4.  Cl2

 66%
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Which of the following would exert maximum osmotic pressure?
1. Decinormal aluminium sulphate
2. Decinormal barium chloride
3. Decinormal sodium chloride
4. A solution obtained by mixing equal volumes of (2) and (3) and filtering
 59%
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