The engine of a jet aircraft applies a thrown force of \(10^5\) N during takeoff and causes the plane to attain a velocity of \(1\) km/s in \(10\) s. The mass of the plane is:
1. \(10^2\) kg
2. \(10^3\) kg
3. \(10^4\) kg
4. \(10^5\) kg

Subtopic:  Newton's Laws |
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A stone weighing \(1\) kg and sliding on ice with a velocity of \(2\) m/s is stopped by friction in \(10\) s. The force of friction (assuming it to be constant) will be:
1. \(-20\) N
2. \(-0.2\) N
3. \(0.2\) N
4. \(20\) N
 

Subtopic:  Friction |
 64%
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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 |
 68%
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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

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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

 

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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
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