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Physics Test - ...

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  • Question 1
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    The potential energy of a particle varies with distance \(x\) from a fixed origin as \(V=\left(\frac{A \sqrt{x}}{x+B}\right),\) where \(A\) and \(B\) are constants. The dimensions of \(AB\) are :

  • Question 2
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    The equation of transverse wave is given by \(y=5 \sin 2 \pi\left(\frac{t}{0.04}-\frac{x}{40}\right),\) where distance is in \(cm\) and time in second. The wavelength of wave will be :

  • Question 3
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    A body of mass \(40 kg\) is resting on a rough horizontal surface and is subjected to a force \(P\), which is just enough to start the motion of the body. If \(\mu_{s}=5, \mu_{k}=0.4, g =10 m / s ^{2}\) and the force \(P\) is continuously applied on the body, then the acceleration of the body is :

  • Question 4
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    At a given place where acceleration due to gravity is 'g' \(m / s^{2},\) a sphere of lead of density 'd' \(kg / m ^{3}\) is gently released in a column of liquid of density \(\rho kg / m ^{3}\). If \(d >\rho\), the sphere will :

  • Question 5
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    If the binding energies per nuclei in \({ }_{3}^{7} Li\) and \({ }_{2}^{4}\) He nuclei are \(5.60 MeV\) and \(7.06 MeV\), respectively, then in the
    reaction \(p+\frac{7}{3} L i \Rightarrow 2{ }_{2}^{4}\) He \(,\) energy of proton must be :

  • Question 6
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    Two billiard balls are rolling on a flat table. One has velocity components Vx=1 m/s,Vy=√3 m/s and the other has component Vx=2 m/s and Vy=2 m/s. If both the balls start moving from the same point the angle between their path is:

  • Question 7
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    Vector \(\overrightarrow{ Q }\) has a magnitude of 8 is added to the vector \(\overrightarrow{ P }\) which lies along the \(X\) -axis. The resultant of these two vectors is a third vector \(\overrightarrow{ R }\) which lies along the \(Y\) -axis and has a magnitude twice that of \(\overrightarrow{ P }\). The magnitude of \(\overrightarrow{ P }\) is:

  • Question 8
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    The distance between the point P(x,y,z) and plane xz is :

  • Question 9
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    The minimum number of coplanar vectors having different non-zero magnitudes can be added to give zero resultant is :

  • Question 10
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    \begin{equation}\text { The value of } m \text { if } i +2 \overrightarrow{ j }-3 \overrightarrow{ k } \text { is parallel to } 3 \overrightarrow{ i }+ m \overrightarrow{ j }-9 \overrightarrow{ k } \text { is : }\end{equation}

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