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Model Paper 7 Physics - Model Paper 7

Gujarat Board (GSEB) - STD 11 Science - Physics (GSEB - English Medium). 38 questions in this chapter.

Question types

Model Paper 7 question types

38 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

38
Questions
6
Question groups
5
Question types
Sample Questions

Model Paper 7 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
If the radius of a star is R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q?
  • A
    $\left(\frac{Q}{4 \pi R^2 \sigma}\right)^{-1 / 2}$
  • B
    $\left(\frac{Q}{4 \pi R^2 \sigma}\right)^{1 / 4}$
  • C
    $\left(\frac{4 \pi R^2 Q}{\sigma}\right)^{1 / 4}$
  • D
    $\frac{Q}{4 \pi R^2 \sigma}$
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Q 2M.C.Q (1 Marks)1 Mark
In rotation of a rigid body about a fixed axis is that in which:
  • A
    every particle of the body moves in a circle, which lies in a plane perpendicular to the axis and has its centre on the axis.
  • B
    every particle of the body moves in an ellipse, which lies in a plane perpendicular to the axis and has its focii on the axis.
  • C
    particles close to the axis have larger velocities.
  • D
    every particle of the body moves at the same speed.
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Q 3M.C.Q (1 Marks)1 Mark
The reading of a spring balance corresponds to 100 N while situated at the north pole and a body is kept on it.
The weight recorded on the same scale if it is shifted to the equator (take, $g=10 m / s ^2$ and radius of the earth, R=$6.4 \times 10^3 m$) is :
  • A
    106 N
  • B
    97.66 N
  • C
    110 N
  • D
    99.66 N
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Q 4M.C.Q (1 Marks)1 Mark
When the adhesive force in the case of liquid and glass is greater than the cohesive forces between the liquid molecules, the shape of the meniscus of liquid in a capillary tube is?
  • A
    Plane
  • B
    Circular
  • C
    Convex
  • D
    Concave
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Q 5M.C.Q (1 Marks)1 Mark
Two sound sources each emitting waves of wavelength $\lambda$ are fixed a given distance apart and an observer moves from one source to another with velocity $u$. Then number of beats heard by him per second is
  • A
    $\frac{2 u}{\lambda}$
  • B
    $\frac{u}{2 \lambda}$
  • C
    $\frac{u}{\lambda}$
  • D
    $\sqrt{u \lambda}$
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Q 62 Marks Questions2 Marks
Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the midpoint of the line joining the centres of the spheres? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable?
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Q 72 Marks Questions2 Marks
The acceleration due to gravity on the surface of the earth is $10 ms^{-2}$. The mass of the planet Mars as compared to earth is $\frac{1}{10}$ and radius is $\frac{1}{2}$. Determine the gravitational acceleration of a body on the surface of Mars.
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Q 82 Marks Questions2 Marks
A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei, the products must be emitted in opposite directions.
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Q 92 Marks Questions2 Marks
A small steel ball of radius $r$ is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity $\eta$. After some time the velocity of the body attains a constant value $v _{ T }$. The terminal velocity depends upon (i) the weight of the ball mg (ii) the coefficient of viscosity $\eta$ and (iii) the radius of the ball r. By the method of dimensions, determine the relation expressing terminal velocity.
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Q 113 Marks Question3 Marks
Glycerine flows steadily through a horizontal tube of length 1.5 m and radius 1.0 cm . If the amount of glycerine collected per second at one end is $4.0 \times 10^{-3} kgs ^{-1}$, what is the pressure difference between the two ends of the tube? (Density of glycerine $=1.3 \times 10^3 kgm ^{-3}$ and viscosity of glycerine $=0.83 Pa$ s). [You may also like to check if the assumption of laminar flow in the tube is correct].
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Q 123 Marks Question3 Marks
Two mercury droplets of radii 0.1 cm . and 0.2 cm . collapse into one single drop. What amount of energy is released? The surface tension of mercury $T =435.5 \times 10^{-3} N m ^{-1}$.
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Q 133 Marks Question3 Marks
Two identical point masses, each of mass $M$ are connected to one another by a massless string of length $L$. $A$ constant force $F$ is applied at the mid-point of the string. If l be the instantaneous distance between the two masses, what will be the acceleration of each mass?
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Q 153 Marks Question3 Marks
If a car having speed $50 km / h$ can round the curve banked at an angle $\theta$. Find out the value of $\theta$, if radius of the curve is 40 m and consider the friction is negligible, $\left[\tan ^{-1}(0.5)=26.5\right]$
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Q 175 Marks Questions5 Marks
A car weighs 1800 kg . The distance between its front and back axles is 1.8 m . Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.
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Q 185 Marks Questions5 Marks
Establish the following vector inequalities:
i. $|\vec{a}+\vec{b}| \leq|\vec{a}|+|\vec{b}|$
ii. $|\vec{a}-\vec{b}| \leq|\vec{a}|+|\vec{b}|$
When does the equality sign apply?
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Q 195 Marks Questions5 Marks
A bird is at a point P whose coordinates are $(4 m,-1 m, 5 m)$. The bird observes two points $P _1$ and $P _2$ having coordinates $(-1 m, 2 m, 0 m)$ and $(1 m, 1 m, 4 m)$ respectively. At time $t =0$, it starts flying in a plane of three positions, with a constant speed of $5 ms^{-1}$ in a direction perpendicular to the straight line $P _1 P _2$ till it sees $P _1$ and $P _2$ collinear at time $t$. Calculate $t$.
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Q 205 Marks Questions5 Marks
The bottom of a dip on a road has a radius of curvature $R$. A rickshaw of mass $M$ left a little away from the bottom oscillates about the dip. Deduce an expression for the period of oscillation.
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Q 21Case study (4 Marks)4 Marks
Root mean square velocity (RMS value)is the square root of the mean of squares of the velocity of individual gas molecules and the Average velocity is the arithmetic mean of the velocities of different molecules of a gas at a given temperature.
Image
1. Moon has no atmosphere because:
(a) the escape velocity of the moon’s surface is more than the r.m.s velocity of all molecules
(b) it is far away from the surface of the earth
(c) the r.m.s. velocity of all the gas molecules is more than the escape velocity of the moon’s surface
(d) its surface temperature is $10^{\circ} C$
2. For an ideal gas, $\frac{C_P}{C_V}$ is
(a) $\leq 1$  (b) none of these  (c) $>1$  (d) $<1$
3. The root means square velocity of hydrogen is $\sqrt{5}$ times that of nitrogen. If T is the temperature of the gas then:
(a) $T \left( H _2\right)= T \left( N _2\right)$
(b) $T \left( H _2\right)< T \left( N _2\right)$
(c) $T \left( H _2\right) \neq T \left( N _2\right)$
(d) $T\left(H_2\right)>T\left(N_2\right)$
4.Suppose the temperature of the gas is tripled and $N _2$ molecules dissociate into an atom. Then what will be the rms speed of atom:
(a) $v_0 \sqrt{2}$  (b) $v_0 \sqrt{6}$  (c) $v_0 \sqrt{3}$  (d) $v_0$
OR
The velocities of the molecules are $v , 2 v , 3 v , 4 v \& 5 v$. The RMS speed will be:
(a) 11 v  (b) $v (12)^{11}$  (c) v  (d) $v(11)^{12}$
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Q 22Case study (4 Marks)4 Marks
In everyday life, the term work is used to refer to any form of activity that requires the exertion of mental or muscular efforts. In physics, work is said to be done by a force or against the direction of the force, when the point of application of the force moves towards or against the direction of the force. If no displacement takes place, no work is said to be done.
Image
1. A box is pushed through 4.0 m across a floor offering 100 N resistance. How much work is done by the applied force?
(a) 100 J (b) 300 J (c) 400 J (d) 200 J
2. What is work done in holding a 15 kg suitcase while waiting for 15 minutes?
(a) 22.5 J (b) zero (c) 225 J (d) 150 J
3. Frictional forces are:
(a) conservative forces
(b) non-conservative forces
(c) buoyant force
(d) non buoyant force
OR
Force of 4 N is applied on a body of mass 20 kg . The work done in 3rd second is:
(a) 6 J (b) 8 J (c) 4 J (d) 2 J
4. When the body moves in a circular motion, net 'work' done is:
(a) one (b) positive (c) negative (d) zero
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Q 23Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): In projectile motion, the vertical velocity of the particle is continuously decreased during its ascending motion.
Reason (R): In projectile motion near earth surface, downward constant acceleration is present in vertical direction.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
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Q 24Assertion (A) & Reason (B) MCQ1 Mark
Assertion: Earth is continuously pulling moon towards its centre but moon does not fall to earth.
Reason: Attraction of sun on moon is greater than that of earth on moon.
  • A
    Assertion and reason both are correct statements and reason is correct explanation for assertion.
  • B
    Assertion and reason both are correct statements but reason is not correct explanation for assertion.
  • C
    Assertion is correct statement but reason is wrong statement.
  • D
    Assertion is wrong statement but reason is correct statement.
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Q 25Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Specific heat capacity and molar specific heat capacity both have same units.
Reason (R): Specific heat capacity and molar specific heat capacity both do not depend on mass.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
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Q 26Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two springs of force constants $k_1$ and $k_2$ are stretched by the same force. If $k_1>k_2$, then work done in stretching the first $\left( W _1\right)$ is less than work done in stretching the second $\left( W _2\right)$.
Reason ( R ): $F = k _1 x _1= k _2 x _2$
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
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