1 RBTS PAPER(PHYSICS)
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1 RBTS PAPER

160572 The velocity \(v\) of a particle depends upon the time \(t\) according to the equation \(v=a+b t+\frac{d}{c+t}\). Write the dimensions of \(a, b, c\) and \(d\) :

1 \(\left[2 L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
2 \(\left[L T^{-1}\right],\left[2 L T^{-2}\right],[\mathrm{L}] \&[T]\)
3 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
4 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[T] \&[L]\)
NCERT-I-32
1 RBTS PAPER

160573 Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The error in the measurement of radius of the sphere is \(0.3 \%\). The permissible error in its surface area is \(\mathbf{0 . 6 \%}\).
Reason (R) :
The permissible error is calculated by the formula
\(\frac{\Delta A}{A}=\frac{4 \Delta r}{r} \text {. }\)
In the light of the above statements, choose the most appropriate answer from the options given below:

1 Both (A) and (R) are correct and (R) is the correct explanation of \((A)\)
2 Both (A) and (R) are correct but (R) is not the correct exaplanation of \((A)\)
3 (A) is correct but (R) is not correct
4 (A) is not correct but (R) is correct
NCERT-I-27
1 RBTS PAPER

160574 If the unit of force is \(\mathbf{1}\) kilonewton, the length is \(1 \mathrm{~km}\) and time \(100 \mathrm{~s}\), what will be the unit of mass?

1 \(1,000 \mathrm{~kg}\)
2 \(10,000 \mathrm{~kg}\)
3 \(100 \mathrm{~kg}\)
4 \(1 \mathrm{~kg}\)
NCERT-I-25
1 RBTS PAPER

160577 Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by \(x_p(t)=\) at \(+b t^2\) and \(x_q(t)=f t-t^2\). At what time do the cars have the same velocity :

1 \(\frac{a-f}{1+b}\)
2 \(\frac{2 a+f}{2(b-1)}\)
3 \(\frac{a+f}{2(1+b)}\)
4 \(\frac{f-a}{2(1+b)}\)
NCERT -73
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1 RBTS PAPER

160572 The velocity \(v\) of a particle depends upon the time \(t\) according to the equation \(v=a+b t+\frac{d}{c+t}\). Write the dimensions of \(a, b, c\) and \(d\) :

1 \(\left[2 L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
2 \(\left[L T^{-1}\right],\left[2 L T^{-2}\right],[\mathrm{L}] \&[T]\)
3 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
4 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[T] \&[L]\)
NCERT-I-32
1 RBTS PAPER

160573 Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The error in the measurement of radius of the sphere is \(0.3 \%\). The permissible error in its surface area is \(\mathbf{0 . 6 \%}\).
Reason (R) :
The permissible error is calculated by the formula
\(\frac{\Delta A}{A}=\frac{4 \Delta r}{r} \text {. }\)
In the light of the above statements, choose the most appropriate answer from the options given below:

1 Both (A) and (R) are correct and (R) is the correct explanation of \((A)\)
2 Both (A) and (R) are correct but (R) is not the correct exaplanation of \((A)\)
3 (A) is correct but (R) is not correct
4 (A) is not correct but (R) is correct
NCERT-I-27
1 RBTS PAPER

160574 If the unit of force is \(\mathbf{1}\) kilonewton, the length is \(1 \mathrm{~km}\) and time \(100 \mathrm{~s}\), what will be the unit of mass?

1 \(1,000 \mathrm{~kg}\)
2 \(10,000 \mathrm{~kg}\)
3 \(100 \mathrm{~kg}\)
4 \(1 \mathrm{~kg}\)
NCERT-I-25
1 RBTS PAPER

160577 Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by \(x_p(t)=\) at \(+b t^2\) and \(x_q(t)=f t-t^2\). At what time do the cars have the same velocity :

1 \(\frac{a-f}{1+b}\)
2 \(\frac{2 a+f}{2(b-1)}\)
3 \(\frac{a+f}{2(1+b)}\)
4 \(\frac{f-a}{2(1+b)}\)
NCERT -73
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1 RBTS PAPER

160572 The velocity \(v\) of a particle depends upon the time \(t\) according to the equation \(v=a+b t+\frac{d}{c+t}\). Write the dimensions of \(a, b, c\) and \(d\) :

1 \(\left[2 L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
2 \(\left[L T^{-1}\right],\left[2 L T^{-2}\right],[\mathrm{L}] \&[T]\)
3 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
4 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[T] \&[L]\)
NCERT-I-32
1 RBTS PAPER

160573 Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The error in the measurement of radius of the sphere is \(0.3 \%\). The permissible error in its surface area is \(\mathbf{0 . 6 \%}\).
Reason (R) :
The permissible error is calculated by the formula
\(\frac{\Delta A}{A}=\frac{4 \Delta r}{r} \text {. }\)
In the light of the above statements, choose the most appropriate answer from the options given below:

1 Both (A) and (R) are correct and (R) is the correct explanation of \((A)\)
2 Both (A) and (R) are correct but (R) is not the correct exaplanation of \((A)\)
3 (A) is correct but (R) is not correct
4 (A) is not correct but (R) is correct
NCERT-I-27
1 RBTS PAPER

160574 If the unit of force is \(\mathbf{1}\) kilonewton, the length is \(1 \mathrm{~km}\) and time \(100 \mathrm{~s}\), what will be the unit of mass?

1 \(1,000 \mathrm{~kg}\)
2 \(10,000 \mathrm{~kg}\)
3 \(100 \mathrm{~kg}\)
4 \(1 \mathrm{~kg}\)
NCERT-I-25
1 RBTS PAPER

160577 Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by \(x_p(t)=\) at \(+b t^2\) and \(x_q(t)=f t-t^2\). At what time do the cars have the same velocity :

1 \(\frac{a-f}{1+b}\)
2 \(\frac{2 a+f}{2(b-1)}\)
3 \(\frac{a+f}{2(1+b)}\)
4 \(\frac{f-a}{2(1+b)}\)
NCERT -73
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1 RBTS PAPER

160572 The velocity \(v\) of a particle depends upon the time \(t\) according to the equation \(v=a+b t+\frac{d}{c+t}\). Write the dimensions of \(a, b, c\) and \(d\) :

1 \(\left[2 L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
2 \(\left[L T^{-1}\right],\left[2 L T^{-2}\right],[\mathrm{L}] \&[T]\)
3 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[L] \&[T]\)
4 \(\left[L T^{-1}\right],\left[L T^{-2}\right],[T] \&[L]\)
NCERT-I-32
1 RBTS PAPER

160573 Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The error in the measurement of radius of the sphere is \(0.3 \%\). The permissible error in its surface area is \(\mathbf{0 . 6 \%}\).
Reason (R) :
The permissible error is calculated by the formula
\(\frac{\Delta A}{A}=\frac{4 \Delta r}{r} \text {. }\)
In the light of the above statements, choose the most appropriate answer from the options given below:

1 Both (A) and (R) are correct and (R) is the correct explanation of \((A)\)
2 Both (A) and (R) are correct but (R) is not the correct exaplanation of \((A)\)
3 (A) is correct but (R) is not correct
4 (A) is not correct but (R) is correct
NCERT-I-27
1 RBTS PAPER

160574 If the unit of force is \(\mathbf{1}\) kilonewton, the length is \(1 \mathrm{~km}\) and time \(100 \mathrm{~s}\), what will be the unit of mass?

1 \(1,000 \mathrm{~kg}\)
2 \(10,000 \mathrm{~kg}\)
3 \(100 \mathrm{~kg}\)
4 \(1 \mathrm{~kg}\)
NCERT-I-25
1 RBTS PAPER

160577 Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by \(x_p(t)=\) at \(+b t^2\) and \(x_q(t)=f t-t^2\). At what time do the cars have the same velocity :

1 \(\frac{a-f}{1+b}\)
2 \(\frac{2 a+f}{2(b-1)}\)
3 \(\frac{a+f}{2(1+b)}\)
4 \(\frac{f-a}{2(1+b)}\)
NCERT -73
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