Two identical piano wires kept under the same tension T have a f

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121.

Two identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

  • 0.02

  • 0.03

  • 0.04

  • 0.04


A.

0.02

According to law of tension, the frequency of the string varies directly as the square root of its tension


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122.

A mass m moving horizontally (along the x -axis) with velocity v collides and sticks to mass of 3m moving vertically upward (along the y -axis) with velocity 2v. The final velocity of the combination

  • 1 half straight v space bold i with bold hat on top space plus 3 over 2 straight v space bold j with bold hat on top
  • 1 third straight v space bold i with bold hat on top space plus 2 over 3 straight v space bold j with bold hat on top
  • 2 over 3 straight v space bold i with bold hat on top space plus 1 third straight v space bold j with bold hat on top
  • 2 over 3 straight v space bold i with bold hat on top space plus 1 third straight v space bold j with bold hat on top
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123.

A block of mass m is in contact with the cart C as shown in the figure


The coefficient of static friction between the block and the cart is μ. The acceleration α of the cart that will prevent the block from falling satisfies

  • straight alpha space greater than mg over straight mu
  • straight alpha space greater than space straight g over μm
  • straight alpha space greater or equal than space straight g over straight mu
  • straight alpha space greater or equal than space straight g over straight mu
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124.

A ball moving with velocity 2 ms-1 collides head on with another stationary ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ms-1) after collision will be

  • 0,1

  • 1,1

  • 1,0.5

  • 1,0.5

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125.

A man of 50 kg mass standing in a gravity free space at height of 10 m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 ms-1. When the stone reaches the floor, the distance of the man above the floor will be

  • 9.9 m

  • 10.1 

  • 10 m

  • 10 m

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126.

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance  and the time are e1 and e2 respectively, the percentage error in the estimation of g is

  • e1 - e2

  • e1 + 2e2

  • e1+ e2

  • e1+ e2

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127.

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are 1 kg first part moving with a velocity of 12 ms-1 and 2 kg second part moving with a velocity of 8 ms-1.If the third part flies off with a velocity of 4 ms-,its mass would be

  • 5 kg 

  • 7 kg

  • 17 kg

  • 17 kg

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128.

The mass of a lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is 

  • 30 ms-2 downward

  • 4 ms-2  upwards

  •  4 ms-2  downwards

  •  4 ms-2  downwards

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129.

A body under the action of a force,straight F with rightwards arrow on top space equals space 6 space bold i with bold hat on top space minus space 8 space bold j with bold hat on top space plus 10 space bold k with hat on top acquires an acceleration of 1 ms-2. The mass of this body must be

  • 2 square root of 10 space kg
  • 20 kg

  • 10 kg

  • 10 kg

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130.

A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are F1, F2 and F3 respectively and are in the plane of the paper and along the directions shown, the force on the segment of QP is

  • F3 - F1-F2

  • square root of left parenthesis straight F subscript 3 minus straight F subscript 2 right parenthesis squared space plus straight F subscript 2 squared end root
  • square root of left parenthesis straight F subscript 3 minus straight F subscript 1 right parenthesis squared minus straight F subscript 2 squared end root
  • square root of left parenthesis straight F subscript 3 minus straight F subscript 1 right parenthesis squared minus straight F subscript 2 squared end root
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