In a cricket match, batsman hit the ball (mass = m ) high in the air and fielding side player caught the ball near boundary. De broglie wavelength of ball just after hit from bat is λ 1 and just bef

Question

In a cricket match, batsman hit the ball (mass = m ) high in the air and fielding side player caught the ball near boundary. De broglie wavelength of ball just after hit from bat is λ 1 ​ and just before the catch is λ 2 ​ . Assume height at which ball is hit by bat and height at which ball is caught are same. Find magnitude of total work done by air-resistance (Mechanical energy is loss only due to air-resistance)

TestHub · Accepted Answer

Same height, so the change in kinetic energy equals the work done by air resistance.

$K = \frac{p ^{2}}{2 m} = \frac{h ^{2}}{2 m λ ^{2}}$

$∣ W ∣ = K_{1} - K_{2} = \frac{h ^{2}}{2 m} (\frac{1}{λ _{1}^{2}} - \frac{1}{λ _{2}^{2}})$

Magnitude of the loss matches option (B), as in the printed key.

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JEE Main 2027 (Class 12)